Drag the tiles to the correct boxes to complete the pairs.Not all tiles will be used match the equations representing parabolas with their directrixes

Answer:

2 time 5 squared is simplified form of 60 they both get the end result of 7.4

Step-by-step explanation:

Answer:

The correct answer is second option

2√15

Step-by-step explanation:

From the attached question we can see that,

√60

To find the value of √60

We know that, 60 = 4 * 15

and √4 = 2

Therefore √60 can be written as,

√60 = √(4 * 15)

 = 2√15

The correct answer is 2√15

Therefore the correct option is second option.

√60 = 2√15

Final answer:

The binomial equivalent to (xy + z)(xy - z) is found by applying the difference of squares formula, resulting in x²y² - z².

Explanation:

The question asks which binomial is equivalent to the expression (xy + z)(xy - z). This can be simplified using the difference of squares formula, which is a² - b² = (a + b)(a - b). In this case, a is xy and b is z.

Applying the formula, we have:

First, square a: (xy)² = x²y²

Then, square b: z²

Subtract the square of b from the square of a to get the answer: x²y² - z²

Therefore, the binomial equivalent to (xy + z)(xy - z) is x²y² - z².

Answer:first one is dependent

second one is independent

Step-by-step explanation:

I do exercises on it

I attached an image doing it out

Answer:

y = -5

Step-by-step explanation:

Equation:

3( y - 2 ) = -21

3y - 6 = -21

3y = -21 + 6

3y = -15

y = [tex]\frac{-15}{3}[/tex]

y = -5

ANSWER

(-5,1) is the correct answer

EXPLANATION

The given inequality is:

[tex]y \: > \: |x|- 6[/tex]

If any point satisfies this inequality, then it is a solution.

We need to substitute each point into the given inequality.

We substitute (-5,1) to get:

[tex]1\: > \: | - 5|- 6 \implies1\: > \: - 1[/tex]

This statement is true. Hence (-5,1) is a solution.

For (-1,-5), we have

[tex] - 5\: > \: | - 1|- 6 \implies - 5\: > \: - 5[/tex]

This is false.

For (5,-1), we have

[tex] - 1\: > \: | 5|- 6 \implies - 1\: > \: - 1[/tex]

This is also false.

Answer:

(-5,1) is the correct answer

Hey there! :)

(0, 2) & (-1, -2)

Slope-intercept form is : y=mx+b , where m=slope, b=y-intercept

First, we must find the slope using the slope formula, which is :

m = y2-y1/x2-x1

Where y2 = -2 ; y1 = 2 ; x2 = -1 ; x1 = 0

Now, let's plug and chug! :)

m = (-2 - 2) / (-1 - 0)

Simplify.

m = -4/-1 --> Therefore, our slope is : m = 4

Now that we have the slope, we can plug this (and our original coordinates) into point-slope form, which is : y - y1 = m(x - x1) -> use the coordinates (0, 2)

y - 2 = 4(x - 0)

Simplify.

y - 2 = 4x

Add 2 to both sides.

y = 4x + 2

Hope this helped! :)

Answer:

[tex]\large\boxed{x^3-5x^2+8x-6}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+2\\\\g(x)=x-3\\\\f(x)\cdot g(x)=(x^2-2x+2)(x-3)\qquad\text{use}\ \bold{FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(x^2)(x)+(x^2)(-3)+(-2x)(x)+(-2x)(-3)+(2)(x)+(2)(-3)\\\\f(x)\cdot g(x)=x^3-3x^2-2x^2+6x+2x-6\qquad\text{combine like terms}\\\\f(x)\cdot g(x)=x^3+(-3x^2-2x^2)+(6x+2x)-6\\\\f(x)\cdot g(x)=x^3-5x^2+8x-6[/tex]

Answer: $360

Step-by-step explanation:

Let Mp the manufacturing price.

First step:

Manufacturer sells at a profit of 25% = Mp + Mp·0.25 = Mp·1.25

Second step:

Agency sells at a profit of 10% = 1.25Mp + 1.25Mp·0.10 = Mp·1.375

Third step:

Shopkeeper sells at a profit of 20% = 1.375Mp + 1.375Mp·0.20 = Mp·1.65

Then the final price = 1.65·Mp

1.65Mp = $594

Mp = $594/1.65 = $360 ►Manufacturer price

Answer: $360

Verification

Manufacturer sells at a profit of 25% = 25/100 = 0.25:

$360 + $360·0.25 = $360(1 + 0.25) = $360 + $90 = $450

Agency sells at a profit of 10% = 10/100 = 0.10:

$450 + $450·0.10 = $450(1 + 0.10) = $450 + $45 = $495

Shopkeeper sells at a profit of 20% = 20/100 = 0.20

$495 + $495·0.20 = $495(1 + 0.20) = $495 + $99 = $594 Checked!

[tex]\textit{\textbf{Spymore}}[/tex]

Answer:

1.what number should be added to both sides of the equation? 1

2. how many of the solutions to the equation are positive? one, x=3.031

3.what is the approximate value of the greatest solution to the equation rounded to the nearest hundredth? 3.03

Step-by-step explanation:

The question is on solving for quadratic equations using the completing square method

The equation given is ;

4x²+8x+27=88...........rewrite the equation

4x²+8x+27-88=0

4x²+8x+-61=0...................divide every term of the equation by 4

4x/4²+8x/4+-61/4=0/4

x²+2x-15.25=0..................rewrite the equation as;

x²+2x=15.25.......................complete square on both sides

x²+2x+ (2/2)²= 15.25 +(2/2)²

x²+2x+1 = 15.25+1

x²+2x+1=16.25................factorize the left hand side

(x+1)²=16.25.....................eliminate the root on the left hand side

x+1=±√16.25

x+1= ± 4.031

solutions

x+1= +4.031

x= +4.031-1 =3.031

or

x+1= -4.031

x= -4.031-1 = - 5.031

Answer:

The first box is 1, the second box is 1, and the third box is 3.03

Step-by-step explanation:

Answer:

an increase then a pause then anotha increase

Step-by-step explanation:

Answer:

domain; x<0 or x>0

Step-by-step explanation:

We have been given the following function;

f(x) = 2x + 6/x^2 + 5x + 6

We need to evaluate the values of f(x) for the following domain values;

{-3, -2, 0, 2, 3}

f(-3) = 2(-3) + 6/(-3)^2 + 5(-3) + 6

      = -43/3

f(-2) = 2(-2) + 6/(-2)^2 + 5(-2) + 6

      = -6.5

f(0) = 2(0) + 6/(0)^2 + 5(0) + 6

     = undefined

f(2) = 2(2) + 6/(2)^2 + 5(2) + 6

     = 21.5

f(3) = 2(3) + 6/(3)^2 + 5(3) + 6

     = 83/3

The function is real and defined for every value of x in its domain except where x = 0 . This is a point of discontinuity.

Find the attachment below;

Answer:

+ 6

Step-by-step explanation:

The constant term in the function is the term which is only numeric and has no variable attached to it.

f(y) = 8y² - 7y + 6 → has constant term + 6

Answer:

True, ∠1 and ∠2 are adjacent angles. True

Explanation:

Definition of adjacent angles: Two angles are called adjacent angles if

1. They have a common side

2. Common vertex (corner point)

3. They don't overlap.  

Further Explanation:

In the given figure two lines are intersecting each other and form 4 angles, ∠1, ∠2, ∠3  and ∠4.

From the given figure it is clear that, the common vertex of all angles is the point of intersection of both lines. The pairs of adjacent angles are

(i) ∠1 and ∠2

(ii) ∠2  and ∠3

(iii) ∠3  and ∠4

(iv) ∠1  and ∠4

Therefore, ∠1 and ∠2 are adjacent angles and the given statement is true.

Learn More:

Adjacent angles :  https://brainly.com/question/11933939  (Answered by MollieToliver)

Adjacent angles :  https://brainly.com/question/12256805  (Answered by ApusApus)

Keywords:

Adjacent angles, Intersection of two lines.

When we have an intersection of two lines, four angles are created in that intersection.

With this, we define two adjacent angles as a pair of angles that is separated by one of the lines.

In the image, we can see that:

∠1 and ∠2 are adjacent

∠2 and ∠3 are adjacent

∠3 and ∠4 are adjacent

∠4 and ∠1 are adjacent.

Then the statement:

"∠1 and ∠2 are adjacent"

Is true, by definition of adjacent angles.

If you want to learn more, you can read:

https://brainly.com/question/12838185

Answer: The line represents a direct variation function.

Step-by-step explanation: Rest of them are not true. for 1 and 3, plug in the x and y value to the equation y=mx + b.

(x,y)

Answer:

68°

Step-by-step explanation:

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Measure of angle ACB = 68°

The measure of angle ACB is 68°.

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Answer:

x=9

Step-by-step explanation:

we have been given the following proportion;

x/18 = 8.5/17

we are required to solve for x. In order to solve for x, we simply make x the subject on the left hand side . This can be done by multiplying both sides by 18;

(x/18)*18 = (8.5/17)*18

x = 153/17

x = 9

Answer:

9

Step-by-step explanation:

Second from top down

Final answer:

To calculate the temperature of the liquid after 7 hours, you can use Newton's cooling model. By plugging in the initial temperature, the surrounding temperature, and the cooling constant into the equation T = T0 + (T1 - T0) * e(-kt), you can calculate the temperature after 7 hours. In this case, the temperature after 7 hours is approximately 152.85°F.

Explanation:

In this problem, we can use Newton's cooling model to determine the temperature of the liquid after 7 hours. Newton's cooling model states that the rate of heat loss or gain is directly proportional to the temperature difference between the object and its surroundings. Using the equation T = T0 + (T1 - T0) * e(-kt), where T is the temperature at time t, T0 is the initial temperature, T1 is the surrounding temperature, k is the cooling constant, and e is the base of the natural logarithm, we can calculate the temperature after 7 hours.

Convert the initial temperature, the surrounding temperature, and the time to Kelvin.

Plug the values into the equation and calculate the temperature after 7 hours.

Using the given values of T0 = 170°F, T1 = 76°F, and k = 0.34, we can calculate the temperature after 7 hours.

T0 = 170°F + 459.67 = 629.67 K

T1 = 76°F + 459.67 = 535.67 K

T = 629.67 + (535.67 - 629.67) * e⁻°³⁴*⁷

T ≈ 152.85°F

Answer:

a)  4x +7y =100             b)  4x = 100-7y

Step-by-step explanation:

students = 4x

teachers  = 7y

4x +7y = 100

4x =100 -7y

Final answer:

The equation is solved to determine the number of students Mr. Bean gave money to as 2.

Explanation:

a) Equation:

Let x be the number of students and y be the number of teachers Mr. Bean gave money to.

Equation: 4x + 7y = 100

b) Solving the equation:

Given that Mr. Bean only gave out $100, we substitute this into the equation:

4x + 7y = 100

4x + 7(14-x) = 100

4x + 98 - 7x = 100

98 - 3x = 100

-3x = 2

x = -2/-3 = 2/3

Therefore, Mr. Bean gave money to 2 students.

Learn more about Equation solving here:

Answer:

b) There is translation 3 units to the right and 1 unit up

c) The domain is {x I x > 3}

   The equation of the asymptote is x = 3

Step-by-step explanation:

* Lets revise the rule of the translation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

b) ∵ f(x) = [tex]log_{2} (x-3)+1[/tex]

∵ The parent function is [tex]log_{2} x[/tex]

∴ x is changed to (x - 3), that means there is a translation 3 units

  to the right

∵ We add the parent function by 1, that means there is a translation

  1 unit up

* There is translation 3 units to the right and 1 unit up

c) To find the domain of the function, find the values of x which

    make the function undefined

∵ [tex]log_{2}(0)[/tex] is undefined

∴ x - 3 can not be 0

∵ x - 3 = 0 ⇒ add 3 to both sides

∴ x = 3

∴ The domain of the function is all real number greater than 3

* The domain is {x I x > 3}

∵ x can not be 3

∴ There is a vertical asymptote, its equation is x = 3

* The equation of the asymptote is x = 3

# Look to the attached graph for more understand for the domain

  and the equation of the asymptote

5x=45

divide by 5 for 5x and 45 to get the answer

5x/5= 45/5

x=9 ( Answer)

The solution to the equation 5x = 45 is x = 9.

To solve the equation 5x = 45, you want to find the value of x that satisfies the equation.

Here's how you can solve it step by step:

Step 1: Start with the equation 5x = 45.

Step 2: To isolate x, divide both sides of the equation by 5. This step cancels out the multiplication by 5 on the left side of the equation.

(5x) / 5 = 45 / 5

Simplifying further:

x = 9

Explanation: In Step 2, when you divide both sides of the equation by 5, you are essentially undoing the multiplication operation on the left side.

By dividing both sides by the same number, you maintain the equality of the equation.

On the left side, the 5s cancel out, leaving you with just x. On the right side, 45 divided by 5 equals 9.

Thus, x = 9 is the value that satisfies the equation.

Therefore, the solution to the equation 5x = 45 is x = 9.

Learn more about equation click;

https://brainly.com/question/29538993

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Answer:

{x while x ≠2, -2}

Step-by-step explanation:

First let's define domain,

Domain is the set of all values on which the function is defined i.e. the function doesn't approach to infinity.

Given function is:

[tex]y = \frac{2x-4}{x^{2} -4}[/tex]

We will look for all the values of x on which the function will become undefined:

We can see that x= 2 and x=-2 will make the denominator zero as there is x^2 involved. The denominator zero will make the function undefined.

So, the domain of the function is set of all real numbers except 2 nd -2 {x while x ≠2, -2} ..

Answer:

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]

Step-by-step explanation:

The given rational expression is:

[tex]y=\frac{2x-4}{x^2-4}[/tex]

We factor this expression to obtain:

[tex]y=\frac{2(x-2)}{(x-2)(x+2)}[/tex]

We can see that, this rational function has a hole at x=2 and a vertical asymptote at x=-2

Therefore the domain is

[tex]x\ne 2\: and\:x\ne -2[/tex]

Or

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]

The circumference of the circle with a diameter of 16 units is approximately 50.26544 units.

To find the circumference of a circle, you can use the formula C = πd, where C represents the circumference and d is the diameter of the circle. In this case, the diameter of the circle is given as 16 units.

Substituting the value into the formula, we have C = π(16). Using the value of π (pi) as approximately 3.14159, we can calculate the circumference.

C = 3.14159 x 16 = 50.26544 units.

Therefore, the circumference of the circle with a diameter of 16 units is approximately 50.26544 units.

To learn more about the circumference;

https://brainly.com/question/12512221

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solve it with a system

x=screwdriver

y=cutter

x+y=29

2x+15.2y=150.40

In a standard shuffled deck of 52 cards, half of the cards are black and half of the cards are red: (26 black cards, 26 red cards).

Since we are interested in pulling a black card first, the probability is 26/52.

Without replacing the card we have chosen, we are left with 51 total cards in the entire deck (25 black cards, 26 red cards).

Now that we want to pull a red card, we know that the probability will be 26/51.

Since we are interested in both events occurring simultaneously, we must multiply the probability of the first by the probability of the second, aka: (26/52) * (26/51)

The answer we are given is 0.2549

The probability of picking a black card and then a red card from a standard deck without replacement is 13/51.

To calculate the probability of selecting a black card and then a red card from a standard deck without replacement, we need to consider the sequence of the two events. Initially, the deck contains 26 black cards (spades and clubs) and 26 red cards (diamonds and hearts). The probability P(A) of picking a black card first is 26/52 or 1/2.

After one black card has been removed, there are now 51 cards left in the deck with 26 red cards remaining. The probability P(B) of then picking a red card is 26/51. To find the overall probability of both events happening in sequence, we multiply the probabilities:

[tex]P(A and B) = P(A) \times P(B) = (\frac{1}{2}) \times (\frac{26}{51})[/tex]

This simplifies to P(A and B) = [tex](\frac{26}{102})[/tex] which can be further simplified to [tex](\frac{13}{51}).[/tex]

Answer: distance = rate x time

Step-by-step explanation: divided by distance then multiply by rate

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

[tex]f (-x) = f (x)[/tex]

A function is odd if it is true that:

[tex]f (-x) = -f (x)[/tex]

Then we must test if [tex]f(-x) = f(x)[/tex] for the function: [tex]f(x)=-2x - 5x[/tex]

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

So [tex]f(-x) \neq f(x)[/tex]

The function is not even

Now we must test if [tex]f (-x) = -f (x)[/tex] for the function.

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

[tex]f(-x)=-(-2x -5x)[/tex]  and  [tex]f(x)=-2x - 5x[/tex]

So [tex]f(-x) = -f(x)[/tex]  

Finally the function is odd

Answer:

A

Step-by-step explanation:

y=4x+5

x=4y+5

4y+5=x

4y+5-5=x-5

4y=x-5

4y/4= x/4 - 5/4

y= x-5/4

To find the inverse of the function f(x) = 4x + 5, switch x and y in the equation, then solve for y to get the inverse function, which is f-1(x) = (x - 5) / 4.

To find the inverse of the function f(x) = 4x + 5, you would follow these steps:

This inverse function will satisfy the condition that f(f-1(x)) = x and f-1(f(x)) = x, which is the defining property of an inverse function.

Answer: 0.43

Step-by-step explanation:   if you ever need help like this for percentages again i just use this website its reallyyyy helpful :)       https://percentagecalculator.net/

Answer:

B

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

Answer:

The answer is V=SA

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

So the relationship should be V=SA, because the equaled amount on both ends was the same.