If x= -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
A) The discriminant is negative.
B) The discriminant is -3.
C) The discriminant is 0.
D) The discriminant is positive.

Answers

Answer 1

Answer:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0


Related Questions

The length of the transverse axis is 11, and the length of the red line segment is 19. How long is the blue line segment?

Answers

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Evaluate.

5 • [(14 + 3 • 30) + 120] + 103 – 10

Answers

Answer:

1213

Step-by-step explanation:

simplify

Answer:

1213

Step-by-step explanation:

5 • [(14 + 3 • 30) + 120] + 103 – 10

Evaluate 3*30 first

5 • [(14 + 90) + 120] + 103 – 10

Evaluate 14 + 90 = 104

5 * [104 + 120] + 103 - 10

5 * (224) + 103 - 10

5*(224) + 93

1120 + 93

1213

Find the height of a triangle that has an area of 30 square units and a bas measuring 12 units

Answers

That answer is 180. The formula is a=bh1/2

Can someone please help me

Answers

Answer:

Let's solve your system by substitution.

x=5;y=−7

Step: Solve x=5 for x:

x=5

Step: Substitute 5 for x in y=−7:

y=−7

y=−7

Answer:

x=5 and y=−7

                                                                 

x=3;y=2x−1

Step: Solve x=3 for x:

x=3

Step: Substitute 3 for x in y=2x−1:

y=2x−1

y=(2)(3)−1

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

                                                                               

Let's solve your system by substitution.

y=6x+3;y=5x+4

Step: Solve y=6x+3 for y:

y=6x+3

Step: Substitute 6x+3 for y in y=5x+4:

y=5x+4

6x+3=5x+4

6x+3+−5x=5x+4+−5x(Add -5x to both sides)

x+3=4

x+3+−3=4+−3(Add -3 to both sides)

x=1

Step: Substitute 1 for x in y=6x+3:

y=6x+3

y=(6)(1)+3

y=9(Simplify both sides of the equation)

Answer:

x=1 and y=9

                                                                       

2x+3y=2;y=x−6

Step: Solve y=x−6 for y:

y=x−6

Step: Substitute x−6 for y in 2x+3y=2:

2x+3y=2

2x+3(x−6)=2

5x−18=2(Simplify both sides of the equation)

5x−18+18=2+18(Add 18 to both sides)

5x=20

divide both sides by 5

5x/5 and 20/5

x=4

Step: Substitute 4 for x in y=x−6:

y=x−6

y=4−6

y=−2(Simplify both sides of the equation)

Answer:

x=4 and y=−2

Which amount is a reasonable tip for an airport skycap? A. $2 total B. $2 per bag C. $5 per bag

Answers

Answer:

Step-by-step explanation:

B or C depending on how many bags you have

A reasonable tip for an airport skycap is generally $2 per bag, reflecting both the service provided and the quantity of luggage.

The question asks about the appropriate tip amount for an airport skycap. A common guideline for tipping skycaps is $2 per bag, which is considered to be a reasonable amount. Tipping $5 per bag may be considered generous in many cases, and a flat rate of $2 in total could be seen as insufficient unless you only have one bag. The tip should reflect the quality of service provided and the number of bags. The provided information regarding airline costs and opportunity costs of time at airports is not directly related to tipping skycaps but does highlight the broader context of airport expenses and the value of time for air travelers.

Which is the simplified form of the expression (6 to the power of -2 times 6 to the power of 5) to the -3rd power?
A)6 to the 30th power
B)1 over (6 to the power of 9)
C)6 to the power of 0
D)1 over (6 to the power of 16)

Answers

Answer:

B. 1/6^9

Step-by-step explanation:

6^-2 = 1/6^2

1/6^2 * 6^5 = 6^5/6^2 = 6^3

6^(3 * -3) = 6^-9= 1/6^9

Answer:

B) 1 over (6 to the power of 9)

Step-by-step explanation:

[tex]\left(6^{-2}\cdot6^5\right)^{-3}\qquad\text{use}\ a^n\cdot a^n=a^{n+m}\\\\=(6^{-2+5})^{-3}=(6^3)^{-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=6^{(3)(-3)}=6^{-9}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{6^9}[/tex]

You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free. Which inequality describes the number of levels, ł, you can play in 60 minutes? Choose 1 answer: A. 5 1/6 + (7 1/3) ł >_ 60 B. 5 1/6 + (7 1/3) ł <_ 60 C. (7 1/3) ł - 5 1/6 >_ 60 D. (7 1/3) ł - 5 1/6 <_ 60 ( the _ goes under the < or > cause I can’t do it on my phone) Can you play 6 levels during your free trial? Choose 1 answer: yes or no

Answers

Answer:

Question 1: b Question 2: yes

Step-by-step explanation:

The variable must go with 7+1/3 calculate time for all the levels. Then add 5+1/6. It must be less than or equal to because you want to play all 6 levels. You can play all 6 when you plug in 6 as the variable. It is less than 60

line segment AB has endpoints A(1,-3) and B(-2,1). What is the midpoint of line segment AB

Answers

Answer:

[tex]\large\boxed{\left(-\dfrac{1}{2},\ -1\right)}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\================================\\\\A(1,\ -3),\ B(-2,\ 1)\\\\\text{Substitute:}\\\\x=\dfrac{1+(-2)}{2}=\dfrac{-1}{2}=-\dfrac{1}{2}\\\\y=\dfrac{-3+1}{2}=\dfrac{-2}{2}=-1[/tex]

Answer:

[tex](\frac{-1}{2} ,-1)[/tex]

Step-by-step explanation:

line segment AB has endpoints A(1,-3) and B(-2,1).

To find the midpoint of AB we use formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

A(1,-3) is (x1,y1) , B(-2,1) is (x2,y2)

Plug in the values in the formula

[tex](\frac{1-2}{2} ,\frac{-3+1}{2} )[/tex]

[tex](\frac{-1}{2} ,\frac{-2}{2} )[/tex]

[tex](\frac{-1}{2} ,-1)[/tex]

What is the value of x in this figure?


143√

282√

28

283√

Answers

Answer:

Third option: 28

Step-by-step explanation:

You need to remember the following identity:

[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]

In the right triangle shown in the figure, you can identify:

[tex]\alpha=30\°\\opposite=14\\hypotenuse=x[/tex]

Then, you need to substitute the corresponding values into  [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:

 [tex]sin(30\°)=\frac{14}{x}[/tex]

Now, you can solve for "x":

[tex]xsin(30\°)=14\\\\x=\frac{14}{sin(30\°)}\\\\x=28[/tex]

Answer:

The value of x is 28 units

Step-by-step explanation:

Given a right angled triangle with one side 14 units and one angle 30°

we have to find the value of x

By trigonometric ratios

[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 30^{\circ}=\frac{14}{x}[/tex]

[tex]\frac{1}{2}=\frac{14}{x}[/tex]

[tex]x=14\times 2=28 units[/tex]

Hence, the value of x is 28 units.

Option C is correct

There were m visitors in an exhibition on the first day and 1,200 fewer vistors on the second day. On the third day, the number of vistors was 30% greator than the number of vistors on the second day. What was the average number of vistors over the three days?

Answers

Answer:

Step-by-step explanation:

The average number is given by :

[m + (m - 1200) + (m - 1200)(1.30 ] / 3   =

[ 2m + 1.30m - 1200 - 1560] / 3   =

[3.3m - 2760] / 3  =

[1.1 m  - 920 ]

i need help please ill give you 20 points

Answers

Answer: x < -1

Remember:

A white dot indicates > or <, not ≥ or ≤.In this case, the arrow is pointing to the left, so x must be < -1.

Answer: D, or x<-1

Step-by-step explanation:

The arrow on the number line indicates the direction in which the set of numbers represented is going. In this case, the arrow is pointing in the negative direction from -1; so we know that it will be either x < -1 or x ≤ -1

The circle represents whether the set of points is inclusive or exclusive. This is an exclusive case, which means that the point x = -1 is not included in the set of points.

That's how we know the inequality represented by the graph is x < -1


Which statement proves that quadrilateral JKLM is a kite?

∠M is a right angle and MK bisects ∠LMJ.
LM = JM = 3 and JK = LK = .
MK intersects LJ at its midpoint.
The slope of MK is –1 and the slope of LJ is 1.

Answers

Answer:

B) LM = JM = 3 and JK = LK = √17

Step-by-step explanation:

just took test, A is wrong, can i get brainliest please?

Answer:

B) LM = JM = 3 and JK = LK = √17

Let f(x) =Sqrt 9x and g(x) =x+7 whats the smallest number that's in the domain of f ° g

Answers

Final answer:

The smallest number that's in the domain of f ° g is x = 0.

Explanation:

The function f(x) = √(9x) represents the square root of 9x.

The function g(x) = x + 7 represents adding 7 to x. To find the smallest number that is in the domain of f ° g, we need to determine the values of x that satisfy both f(x) and g(x).

We can start by looking at the domain of g(x), which includes all real numbers. So any value of x will work for g(x).

Next, we need to consider the domain of f(x). Since taking the square root of a negative number is not defined in the real number system, we must ensure that 9x is positive or zero.

So we set 9x ≥ 0 and solve for x: x ≥ 0. This means any non-negative value of x will work for f(x).

Now, to find the smallest number in the domain of f ° g, we need to find the intersection of the domains of f(x) and g(x).

Since any value of x will work for g(x) and only non-negative values of x will work for f(x), the smallest number that satisfies both functions is x = 0.

What is the range of 19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13

Answers

Answer:

The answer is 19.

Step-by-step explanation:

To find the range you have to subtract the lowest number and highest number in the data set.

19-0=19

Hope this helps.

The range of the given set {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13} is 19, which is the difference between the largest (19) and smallest (0) values in the set.

The range of a set of numbers is the difference between the largest and smallest values in the set. To find the range of the given numbers {19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13}, follow these steps

Step 1: Arrange the numbers in ascending order: {0, 0, 0, 0, 0, 0, 2, 3, 12, 13, 13, 19}.

Step 2: Find the smallest value: 0.

Step 3: Find the largest value: 19.

Step 4: Calculate the range: Largest value - Smallest value = 19 - 0 = 19.

The range of the given numbers is 19.

To know more about range:

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Does anyone know this?

Answers

Answer:

h(1)= 1

h(4)=5

Step-by-step explanation:

Given

h(x)= x^3 for 1≤x≤3

and

h(x)=5 x>3

Now finding h(1), i.e when x=1

x=1 lies in the range 1≤x≤3 hence putting value x=1 in x^3

h(1)= 1^3

     = 1

Now finding h(4), i.e when x=4

x=1 lies in the range x<3 hence putting value x=4 in h(x)=5

h(4)= 5 !

Larry’s checkbook has a balance of $922.63. What is most likely the reason that Larry’s balance is different from the banks balance

Answers

Answer:

Check 318 was not cashed or deposited.

Step-by-step explanation:

If you look at the check numbers, check number 318 was not used. Therefore that is why Larry's balance is different from the banks balance.

Answer:

Step-by-step explanation:

Option D. check 318 was not cashed or deposited.

Find the value of x, rounded to the nearest tenth.

Answers

X multiplied by the side labeled 5 is equal to the line labeled 9 multiplied by the line labeled 5.1

9 x 5.1 = 45.9

x = 45.9 / 5

x = 9.18

x = 9.2

Please answer quickly.

Answers

Answer:

3) 3a - 2 + 3 = -2

   3a            = -2 + 2 - 3 = -3

   a              = -3/3 = -1

4) m/-6 - 18 - 4 = -16

   m/-6             = -16 + 18 + 4 = 6

   m                  = 6 · (-6) = -36

5) x/-2 - 4 + 22 = -28

   x/-2              = -28 + 4 - 22 = -46

   x                   = -46 · (-2) = 92

6) -13 = 5 + 20m - 2m

   -13 = 5 + 18m

   -18 = 18m

   m  = -18/18 = -1

7) -2(2p - 1) = -14

   -4p + 2   = -14

   -4p          = -14 - 2 = -16

   p              = -16/(-4) = 4

8) -1(8x + 20) = 12

   -8x - 20      = 12

   -8x              = 12 + 20 = 32

   x                  = 32/(-8) = -4

9) -49 = 7(2x + 3)

   -49 = 14x + 21

   -14x = 49 + 21 = 70

   x                     = 70/-14 = -5

10) 3(8h - 4) + 17 = -19

     24h - 12 + 17 = -19

     24h               = -19 + 12 - 17 = -24

     h                   = -24/24 = -1

how this 0=t2−t−2 become this 0=(t−2)(t+1)

Answers

In order to t² - t -2 = 0 become into this (t - 2)(t + 1) = 0, we have to know that a  polynomial of the form ax² + bx + c = 0 can be factored as a(x + r1)(x + r2) = 0, where r1 and r2 are the roots of the equation ax² + bx + c = 0 and we can find them using the Quadratic Formula.

Let's solve the equation step-by-step.

t² - t -2 = 0 has the form at² + bt + c = 0, so can be factored as a(t + r1)(t + r2) = 0. With a = 1, b = -1, and c = -2

Step 1. Use the Quadratic Formula to find the roots r1 and r2.

t =  −b ± √b²−4ac/2a

t = -(-1) ± √(-1)²−4(1)(-2)/2(1)

t = 1 ± √1+8/2

t = 1 ± √9/2 where r1 = 1 + √9/2 and r2 = 1 - √9/2

Step 2. Calculate the roots r1 and r2

r1 = 1 + √9/2 = 2

r2 = 1 - √9/2 = -1

Step 3. Write the factored equation a(t + r1)(t + r2) = 0, with a = 1 and the values of r1 and r2 with opposite signs.

1(t - 2)(t + 1) = 0

(t - 2)(t + 1) = 0

In the swimming pool design explain how to find the area of the pool surface

Answers

Answer:

Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:

i did it.

Answer:

Sample Response: Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:

make sure to inlcued

- area of rectangle

- half the diameter for the radius

- half the area of the circle

- subtract the area of the half circle from the area of the rectangle

How many solutions does this system of equations have?
Y=-3x+7
Y=-3x-6

A. Infinitely many
B. Two solutions
C. One solution
D. No solutions

Answers

System of equations helps us to compare two real-life problems. The system of equations will have no solution.

What is a System of equations?

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

As the systems of two-equations are given, therefore, the two equations are:

Y=-3x+7Y=-3x-6

Now, if we plot the two-equation on the graph, we will find that the lines of the two equations are parallel. therefore, the system of equations will have no real solution or will have no solution.

Hence, the system of equations will have no solution.

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Patrica scored 80% on a math test. She missed 4 problems. How many problems were on the test?

Answers

Answer:

20

Step-by-step explanation:

Patrica got 80% correct.  She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

4 = 1/5 x

x = 20

There were 20 problems on the test.

A set of equations is given below:

Equation C: y = 3x + 7
Equation D: y = 3x + 2

Which of the following best describes the number of solutions to the given set of equations?


One solution

Two solutions

Many solutions

No solution

Answers

Set the two equations equal to each other.
3x+7=3x+2
Solve for X
0=-5
0 does not equal -5, so there are no solutions.
The answer is two solutions

The probability of it snowing in Eastern Canada tomorrow is 0 . 4 0.40, point, 4. The probability of it snowing in Western Canada tomorrow is 2 5 5 2 ​ start fraction, 2, divided by, 5, end fraction. Which of these events is more likely? Choose 1 answer: Choose 1 answer: (Choice A) A It snows in Eastern Canada tomorrow. (Choice B) B It snows in Western Canada tomorrow. (Choice C) C Neither. Both events are equally likely.

Answers

Answer:

c

Step-by-step explanation:

Both the events are equally likely so neither can be more likely.

The correct answer is: C Neither. Both events are equally likely.

Given that the probability of it snowing in Eastern Canada tomorrow is 0.4 and that of in Western Canada is 2/5,

We need to determine which of the given events is more likely,

To determine which event is more likely, we compare the probabilities provided for each event:

The probability of it snowing in Eastern Canada tomorrow is 0.4.

The probability of it snowing in Western Canada tomorrow is 2/5, which is equivalent to 0.4.

Since both probabilities are equal (0.4), we can conclude that both events, A (It snows in Eastern Canada tomorrow) and B (It snows in Western Canada tomorrow), are equally likely.

Therefore, the correct answer is: C Neither. Both events are equally likely.

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PLEASE I NEED THIS TO PASS A TEST AND GRADUATE!!!
Function g is transformed to obtain function h as shown.

(x)=g(x+2)-5

Which statement describes how the graph of h is different from the graph of g?
A. The graph of h is the graph of g shifted 2 units to the right and 5 units up.
B. The graph of h is the graph of g shifted 5 units to the left and 2 units down.
C. The graph of h is the graph of g shifted 5 units to the right and 2 units up.
D. The graph of h is the graph of g shifted 2 units to the left and 5 units down.

Answers

Answer:

D. The graph of h is the graph of g shifted 2 units to the left and 5 units down.

Step-by-step explanation:

Graph:  h(x) = g ( x + 2 ) - 5

x + 2 means the graph is shifted to left by 2 units.

-5 means to shift the graph down by -2 units

so, the graph of h is the graph of g shifted 2 units to the left and 5 units down.

Which line is the best model for the data in the scatter plot?

Answers

Answer:

the 1st one in the 2nd row

Step-by-step explanation:

I need help on this plz

Answers

Answer:

$51200

Step-by-step explanation:

Simply do this: 2¹⁰ × 50. You are doing this because you are doubling it for each year that goes by.

I am joyous to assist you anytime.

What is the volume of a rectangular prism with l = 4 1/2 cm, w = 3 1/2 cm, and h = 6 cm?

Answers

Step-by-step explanation:

Volume of a rectangular prism is:

V = lwh

Given that l = 4½, w = 3½, and h = 6:

V = (4½)(3½)(6)

V = 94.5

The volume is 94½ cm³.

The formula for the volume of a rectangular prism is:

V = length x width x height

OR

V = l x w x h

You must plug in the values given in the equation

4[tex]\frac{1}{2}[/tex] x 3[tex]\frac{1}{2}[/tex] x 6

94 1/2 cm^3

Hope this helped!

~Just a girl in love with Shawn Mendes

Jessica borrow $316 for 9 months he paid it off by paying $38.27 monthly what will she pay in finance charges​

Answers

Answer:

my answer is 34 r 18 I am guessing

Answer:

answer is $28.43

Step-by-step explanation:

You take $38.27x9. Then minus that answer minus $316

Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle KJL is 2x + 5° and angle MJN = 3x – 8 find the measure of angle KLM.

Answers

Answer:

The measure of angle KLM is 62°

Step-by-step explanation:

* Lets revise the properties of the rhombus

- The rhombus has 4 equal sides in length

- Every two opposite angles are equal in measure

- The two diagonals bisect each other

- The two diagonals perpendicular to each other

- The two diagonals bisect the vertices angles

* Lets solve the problem

∵ JKLM is a rhombus

∴ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∵ JL and KM are diagonals in the rhombus and intersect each

   other at N

∴ JL bisects ∠MJK

∴ m∠KJL = m∠MJN

∵ m∠KJL = (2x + 5)°

∵ m∠MJN = (3x - 8)°

∴ 2x + 5 = 3x - 8 ⇒ subtract 2x from both sides

∴ 5 = x - 8 ⇒ add 8 to both sides

∴ 13 = x

∴ The value of x = 13

∵ m∠KJL = (2x + 5)° ⇒ substitute the value of x

∴ m∠KJL = 2(13) + 5 = 26 + 5 = 31°

∵ m∠KJL = 1/2 m∠MJK

∴ m∠MJK = 2 m∠KJL

∴ m∠ MJK = 2 × 31° = 62°

∵ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∴ m∠KLM = 62°

Other Questions
Fill in the coefficients that will balance the following reaction:a0Ca + a1CO2 + a2O2 a3CaCO3 Fill in the blanks to complete the statements.If an object changes speed onresults in accelerationits velocity also changes. Any change in Which statement best describes why interpretations of history change overtime?OA. Time affords greater flexibility to study more sources that supportone's position.B. Time provides distance from the biases that surround historicalevents.C. Time eliminates a number of competing sources and theirperspectives.OD. Time enables historians to rely on unbiased secondary sources. What was Galileos contribution to the study of motion? A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $45,920. The variable costs will be $11.25 per book. The publisher will sell the finished product to bookstores at a price of $21.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales? Which statement best summarizes how interpretations of the First Amendment have changed over time? A. Amendments passed in the 20th century have made it mucheasier for courts to change their interpretations of the FirstAmendment.B. Freedom of religion has been increasingly protected by the FirstAmendment, while freedom of speech has been consistentlyrestricted.C. First Amendment freedoms have been interpreted in very strictterms, giving governments more opportunities to limit them.D. The Supreme Court has established rules for interpreting the FirstAmendment, but they are still subject to challenges. The location of the first nucleotide read by rna polymerase is the 2 pounds equals how many onces I seriously need some help with my exam questions, here are some of them. Which is NOT one of the four pillars of democracy? Based on these results, if 250 children are asked about their favorite activity, how many children will prefer organize sports? Select the correct answer.What is a key characteristic of historical fiction?O A.The stories always have insights about current society.OB.The stories always provide accurate historical facts.O C.The stories must connect history to the present.OD.The stories are presented in a realistic manner.Reset The initial number of carbon-14 atoms in the organism at death is Is x+2=14 a one-step or two-step equation? How do I solve this? What is 37.5% as a fraction If sufficient rest is taken between workout activities targeting specific muscle groups, how many sessions of the sameactivity can safely be performed in a one-week period at the MOST?A. twoB. threeC. fourD. fivePlease select the best answer from the choices provided. A circle with area 81 has a sector with a central angle of 120 what is the area of the sector Which stage of cellular respiration produces the most atp? Read the sentences. Choose the option with the correct pronoun that would replace the part in parenthesis and the missing pronoun in the last sentence.(Soy Gustavo) y tengo el pelo gris y uso lentes. Seora Lourdes, ________ es canosa tambin. Yo; usted Tu; ustedes Yo; ella T; ella Steam Workshop Downloader