Use the quadratic formula to solve for the roots in the following equation. 4x 2 + 5x + 2 = 2x 2 + 7x – 1

Answer:

6x - 11

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 2x - 3 - (- 4x + 8) = 2x - 3 + 4x - 8 = 6x - 11

Answer:

6x -11

Step-by-step explanation:

f(x) = 2x-3 and g(x) = -4x+8

f-g (x) =2x-3 - (-4x+8)

Distribute the minus sign

       = 2x - 3 +4x -8

Combine like terms

       = 6x -11

Answer:

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

If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

Answer:

Not safe

Step-by-step explanation:

Using the sine ratio in the right triangle

let the angle be x, then

sinx° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{16.5}{17}[/tex]

x = [tex]sin^{-1}[/tex] ([tex]\frac{16.5}{17}[/tex] ) ≈ 76.1°

Since 76.1° > 70° then not safe at this height

Answer: OPTION C.

Step-by-step explanation:

Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.

For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).

Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.

Therefore, you need to search the option that shown the graph wich contains the point (1,-3).

Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).

This is the graph of the option C.

[tex]\bf (\stackrel{x_1}{t}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-7}{-10-t}=\stackrel{\stackrel{slope}{\downarrow }}{9}\implies \cfrac{-9}{-10-t}=9 \\\\\\ -9=-90-9t\implies 81=-9t\implies \cfrac{81}{-9}=t\implies -9=t[/tex]

T=-9 and the work is there

If you have any questions about what I did

Hope this helps.if it does please mark brainliest

Answer:

y=8x-3

Step-by-step explanation:

Answer:

Step-by-step explanation: if she runs 1 lap in 6 minutes, divide 66 by 6 to find how many laps she runs. this is 11. 11 is the minimum amount of laps that she runs.

n≥11

Answer:

11 ≤ n

Explanation:

[tex] \frac{66}{6} = 11[/tex]

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

Answer:

hi so finding the volume you need to do

pi times R² times height

Step-by-step explanation:

hopes this will help u  outttttt

For this case we have:

[tex]3 \frac {8} {9} = \frac {27 + 8} {9} = \frac {35} {9} = 3.8888[/tex]

Round the nearest whole, that is, to 4.

[tex]2 \frac {5} {6} = \frac {12 + 5} {6} = \frac {17} {6} = 2.8333[/tex]

Round the nearest whole, that is, to 3.

So, rewriting we have:

[tex]4 + 3 = 7[/tex]

ANswer:

[tex]3 \frac {8} {9} +2 \frac {5} {6} = 7[/tex]

Answer:

C. [tex]f(x)=\sqrt[3]{-x} -1[/tex]

Step-by-step explanation:

Consider graph of the parent function (red curve in attached diagram)

[tex]g(x)=\sqrt[3]{x}[/tex]

First, multiply it by -1 to get function

[tex]h(x)=-\sqrt[3]{x}[/tex]

Then translate the graph of the function h(x) 1 unit down, then you'll get the function

[tex]f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1[/tex]

The graph of the function f(x) is represented by the blue curve in attached diagram

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

[tex]\frac{x}{4}+4=15 \\ \\ \frac{x}{4}=11 \\ \\ x=44[/tex]

Answer:

[tex]A=376.99\ units^2[/tex]

Step-by-step explanation:

By definition, the surface area of a cylinder is given by the following formula:

[tex]A = 2\pi r h + 2\pi r ^ 2[/tex]

Where r is the radius and h is the height.

In this case, we have to:

[tex]r = 4\\\\h = 11[/tex]

then the surface area is:

[tex]A = 2\pi(4)(11) + 2\pi(4) ^ 2[/tex]

[tex]A=120\pi[/tex]

[tex]A=376.99\ units^2[/tex]

120pi units^2

Step-by-step explanation:

Answer:

Two solutions.

Answer:

C. 0.8125

Step-by-step explanation:

The probability to sell 5 or more DVDs in a day is the complement of the probability of selling less than 5 DVDs in a day, since sales <5 DVDs + sales >= 5 DVDs = 100% of the sales.

So, we know what's the probability of selling less than 5 DVDs in a day is... it's 0.1875

So, to find the possibility of selling 5 or more DVDs in a day, we take 100% of the chances (1.0) and we subtract the probability of selling <5 DVDs in a day:

P = 1.0 - 0.1875 = 0.8125

C. 0.8125 is your answer.

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

m is the mass of the diver

g is the acceleration due to gravity = 9.81m/s²

h is the height from the surface

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

        = 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

Final answer:

The diver has 4986 Joules of gravitational potential energy in relation to the pool's surface, with the closest answer choice being 4998 J, assuming rounding differences. Hence, the answer is D.

Explanation:

To calculate the gravitational potential energy (GPE) of the diver in relation to the pool's surface, we can use the formula GPE = mgh, where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the diving platform above the pool's surface.

Substituting the diver's mass (68 kg) and the height of the diving platform (7.5 m) into the equation, we get:

GPE = (68 kg) times (9.8 m/s2) times (7.5 m)

GPE = 4986 Joules

Therefore, the diver has 4986 Joules of gravitational potential energy in relation to the pool's surface. Since this value isn't exactly one of the choices, it's likely due to rounding differences, and the closest provided option is 4998 J, which we could assume is the intended answer.

Answer:

22.5 lbs

Step-by-step explanation:

First you find the cubic feet. That is the volume of the object which is length*width*height.

In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet

You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs

Answer:

Step-by-step explanation:

If it's less than or greater than (<, >), then the circle is hollow.

If it's less than or equal to, or greater than or equal to (≤, ≥), then the circle is solid.

Less than points to the left, greater than points to the right.

Here we have less than (not equal to).  So the circle is hollow, and the arrow points left.  So the correct answer is the first one.

We can check our answer by picking a point and seeing if it's true.  If we pick c=-6, is it true that -6 < -1?  Yes.

Answer:

Yes, the answer provided is correct.

Step-by-step explanation:

Angles TRV and SRW are vertical angles, so they are the same value.

Answer: 15 ounces

Step-by-step explanation:

We need to find the unit rate for each of the prices/ounces,

0.89/10 = 0.089

1.29/15 = 0.086

2.26/18 = 0.125...

3.39/32 = 0.1059375

The answer is:

B. 15 ounces

Because the unit rate(cost per ounce) is 0.086 cents per ounce which is less than:

A. 0.086

C. 0.126

D. 0.106

Answer:

the answer is anything less than 24

Step-by-step explanation:

[tex]x - 9 < 15 = x - 9 + 9 < 15 + 9[/tex]

[tex] \times < 24[/tex]

Answer:

The answer would be B. decrease the temperature by 2 degrees Celsius.

Step-by-step explanation:

Since 2°C - 2°C= 0, then you would obviously have to subtract to find your answer.

Answer:

B

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The vertex form of f(x) is

f(x) = (x - h)² + k

where (h, k) are the coordinates of the vertex

To obtain this form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 14x

f(x) = x² + 2(7)x + 49 - 49 + 36

     = (x + 7)² - 13

The minimum value of f(x) is the y- coordinate of the vertex

vertex = (- 7, - 13), that is minimum value = - 13

The vertex form of the function f(x)=x²+14x+36 is (x + 7)² - 13, with the vertex at (-7, -13). The minimum value of f(x) is -13.

To convert the function f(x) = x²+ 14x + 36 into vertex form, we need to complete the square. First, factor out the coefficient of the x² term if it is not 1 (in this case it is 1, so no factoring is necessary), and then group the x terms.

f(x) = (x²+ 14x) + 36

Add and subtract the square of half of the coefficient in front of x within the parenthesis to complete the square:

f(x) = (x² + 14x + 49) - 49 + 36

Simplify:

f(x) = (x + 7)² - 13

Now the function is in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex. Here, the vertex is at (-7, -13).

The minimum value of the function f(x) occurs at the vertex since the coefficient of the x² term is positive, indicating a parabolic shape opening upwards. Therefore, the minimum value of f(x) is -13.

https://brainly.com/question/29124549

#SPJ2

-Hello There-

ANSWER: 10 Is 40% Of 25

EXPLANATION

What is 40% of 25?

Y is 40% of 25

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 40% * 25

Converting percent to decimal:

p = 40%/100 = 0.4

Y = 0.4 * 25

Y = 10

Have A Great Day!

Be Safe,

TheBlueFox

Remember that a complex number has the form a + bi. You need to figure out what a and b need to be. Since −3i is an imaginary number, it is the imaginary part (bi) of the complex number a + bi. This imaginary number has no real parts, so the value of a is 0.

ANSWER

Yes

EXPLANATION

The number

[tex]3i[/tex]

can be rewritten as

[tex]0 + 3i[/tex]This is of ty form

[tex]z = a + bi[/tex]

where 0 is the real part and 3i is the imaginary or complex part.

[tex]3i[/tex]

is therefore a complex number. It is purely imaginary because the real part is zero.

Answer:

17.4 i believe

Step-by-step explanation:

Answer:

Depends

Step-by-step explanation:

Depends on how many questions you missed. I'm going to assume that you mean you somehow missed every question. So, 86% - 25% would be 46%.

You must use Pythagorean theorem, which is [tex]a^{2} +b^{2} =c^{2}[/tex]

a and b are both legs (the two legs are the sides that form a perpendicular right angle) while c is the hypotenuse (side opposite the right angle)

In this case...

a = y

b = 8

c = 12

^^^Plug these numbers into Pythagorean theorem

[tex]y^{2} +8^{2} =12^{2}[/tex]

Simplify as much as possible

[tex]y^{2}[/tex] + 64 = 144

Isolate y by subtracting 64 to both sides

[tex]y^{2}[/tex] + (64 - 64) = 144 - 64

[tex]y^{2}[/tex] = 80

Further isolate y by taking the square root of both sides. This will take away the square from the left side

y = [tex]\sqrt{80}[/tex]

[tex]\sqrt{80}[/tex] <<< Can be further simplified

4√5 = y

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

Look at the picture.

It's a net of right rectangular prism.

We have three pairs of rectangles:

7ft × 8ft

7ft × 18ft

8ft × 18ft

The formula of an area of a rectangle l × w:

A = lw

Calculate the areas:

A₁ = (7)(8) = 56 ft²

A₂ = (7)(18) = 126 ft²

A₃ = (8)(18) = 144 ft²

The Surface Area :

S.A. = 2A₁ + 2A₂ + 2A₃

Substitute:

S.A. = 2(56) + 2(126) + 2(144) = 652 ft²

Ok, so equation for this would be 2x-35=9, 2x because its twice a number, x. 35 because it is taking off of 35. 9 because the grand total is 9.

2x-35=9 First add 35 to 9

2x=44 Then divide 44 by 9

x= approximately 4.9