If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be

a. h(x) = 4(x-9)^2-17
b. h(x) = 4(x-7)^2+16
c. h(x) = 4(x-17)^2-9
d. h(x) = 4(x+9)^2-17

Answers

Answer 1

Answer:

A

Step-by-step explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.


Related Questions

To the nearest foot, how many feet is the object in front of the whale? (image included)

Answers

[tex]\bf \begin{array}{ccll} feet&seconds\\ \cline{1-2} 4752&1\\ x&0.8 \end{array}\implies \cfrac{4752}{x}=\cfrac{1}{0.8}\implies 3801.6=x\implies \stackrel{\textit{rounded up}}{3802=x}[/tex]

so, we can conclude that since the wave went and came back in 0.8 seconds, it travelled the distance of 3802 feet, however that's the whole trip, we want to know how far the object is, and that'd be only the distance it took on its way forth, namely half the trip, namely 3802/2 = 1901.

Given: f(x) = x - 7 and h(x) = 2x + 3

Write the rule for h(f(x)).


h(f(x)) = 2x - 11

h(f(x)) = 2x - 7

h(f(x)) = 2x - 4

h(f(x)) = 3x - 4

Answers

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

Answer:

h(f(x)) = 2x - 11 and the next one is f(h(x)) = 2x - 4 or A and B

If the area of a triangle is 18 units (squared 2 to the power), and a side of a triangle is 6, what is the other side?

Answers

Answer:

The other side is 6 units long.

Step-by-step explanation:

Area of a Triangle = (1/2)(Base)(Height)

18 = (1/2)(6)(x)

Note that x is the other side of the triangle.

18 = 3x

x = 6

The other side is 6 units long.

Which represents the decimal 0.071

A 71 tenths
B 71 thousandths
C 71 hundredths
D 71 ten thousandths

Answers

Answer:

The answer is B

Step-by-step explanation:

In the decimal (base ten) system, the value of the digits is based on the number ten. Each position in a decimal number has a value that is a power of 10.

Answer is B

The last digit (1) is on the thousandths place value

if it take 10 hours to get 50% how many hours are 32%

Answers

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

[tex] = \frac{32\% \times 10}{50\%} [/tex]

[tex] = 6.4[/tex]

Hence it will take 6.4 hours to get 32%

If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=7.6 \end{cases}\implies A=\pi 7.6^2\\\\\\ A=57.76\pi \implies A\approx 181.46[/tex]

Answer: OPTION C

181.3664 square centimeters

Step-by-step explanation:

PLEASE HURRY
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

48in

Step-by-step explanation:

We know that the photograph is

Width photo = 5in

Lenght photo = 7in

The length and width of the frame are 2x inches larger than the width and frame of the photograph so:

Width frame = 5in x 2 = 10 in

Lenght frame = 7in x 2 = 14 in

The perimeter is the distance around a two-dimensional shape. Then, the perimeter of the frame is:

Perimeter = 10 in + 14 in + 10 in + 14 in = 48in

What is the base of the largest triangular flag can make?

Answers

Answer:

9.36cm

Step-by-step explanation:

We can add up all the sides to find the perimeter.

[tex]x+2x+2x=5x[/tex]

So the perimeter, 46.8, is equivalent to 5x.

Solve.

[tex]5x=46.8 \\ \\ x=9.36[/tex]

So [tex]x[/tex] is 9.36.

Since the base is [tex]1x[/tex], the base is 9.36cm.

We can plug back in to check our answers.

[tex]2x=18.72\\9.36+18.72+18.72 = 46.8[/tex]

The answer is 9.36cm hope u do well :)

A go-cart has a maximum weight limit of 240 pounds. Which inequality correctly represents this weight limit,w?

Answers

Answer:

w<240 pounds

Step-by-step explanation:

The inequality of weight is w≤250 pounds.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A go-cart has a maximum weight limit of 240 pounds.

let the weight is represented by 'w'

We can use inequality sign here as ≤.

Now, in the given situation weight should be less than or equal to 250 pounds.

Hence, the equality is w≤250 pounds.

Learn more about inequality here:

https://brainly.com/question/23575974

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Use the list method to write "The perfect square integers between 1 and 80 inclusive".

{1, 4, 9, 16, 25, 36, 49, 64, 80}
{4, 9, 16, 25, 36, 49, 64}
{1, 4, 9, 16, 25, 36, 49, 64}

Answers

ANSWER

{1, 4, 9, 16, 25, 36, 49, 64}

EXPLANATION

The perfect square integers between 1 and 80 inclusive are obtained by squaring the natural numbers from 1 to 8

[tex] {1}^{2} = 1[/tex]

[tex] {2}^{2} = 4[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {4}^{2} = 16[/tex]

[tex] {5}^{2} = 25[/tex]

[tex] {6}^{2} = 36[/tex]

[tex] {7}^{2} = 49[/tex]

[tex] {8}^{2} = 64[/tex]

The square of the next number does not fall within the given range.

Therefore "The perfect square integers between 1 and 80 inclusive" are

{1, 4, 9, 16, 25, 36, 49, 64}

(1,9,16,25,36,49,64)Answer:

Step-by-step explanation:

A parallelogram has vertices at (5, 3), (8, 4), (7, 8), and (4, 7). What is the approximate area of the parallelogram?

12 Unit

13 Units

17 Units

27 Units

Please help and show work!!!!! Will mark brainliest!!!!!

Answers

Answer:

13 square units.

Step-by-step explanation:

We can find the area of the parallelogram using the formula:

[tex]Area=2\times \frac{1}{2}[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

where [tex]A(x_1,y_1)[/tex], [tex]B(x_2,y_2)[/tex]. and [tex]C(x_3,y_3)[/tex] are the vertices of one of the triangles created by the diagonals.

[tex]Area=[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

We use A(5, 3), B(8, 4), C(7, 8) to obtain:

[tex]Area=[|5(4-8)+8(8-3)+7(3-4)|][/tex]

[tex]Area=[|-20+40-7|][/tex]

[tex]Area=|13|=13[/tex]

The area of the parallelogram is 13 square units.

Write 7 over 10 as a percentage

Answers

70%

A percentage is the same thing as a fraction with a denominator of 100. To make our current denominator change to 100, we must multiply it by 10. So, we must do the same thing to the numerator. 7 times 10 is 70, and 10 times 10 is 100. This means 7/10 equals 70/100, which is 70%.

A 25ft ladder is placed 7 feet from the wall, as shown. How high up the wall with the ladder reach?

Answers

Answer:

24 ft up the wall

Step-by-step explanation:

We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse

a^2 +b^2 = c^2

7^2 +b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49-49 +b^2 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

We only take the positive solution since length cannot be negative

The ladder will reach 24 ft up the wall

Consider the graph of the quadratic graph y=-x^2 -10x+24 ,what is the y-value of the vertex

Answers

-51

First, find the axis of symmetry, or the x value where the line switches directions. This is also the x value of the vertex. Find this by using the equation -b/2a. In this case, -10 is b, and 1 is a.

-(-10)/2(1)

10/2

5

So, the x value of the vertex is 5. Now, find the y value by putting the x value back into the equation.

y = -(5)^2 - 10(5) + 24

y = -25 - 50 + 24

y = -75 + 24

y = -51

So, the y value of the vertex is -51.

Which answer describes the transformation?

Answers

Horizontal translation 1 unit to the left

A cube has a volume of 300 cm3. If all the side lengths are multiplied by 7, what will the resulting volume be?

Answers

For this case we have that by definition, the volume of a cube is given by:

[tex]V = l ^ 3[/tex]

Where "l" is the length of the side.

We have to:

[tex]l ^ 3 = 300\\l = \sqrt [3] {300}\\l = 6,69432950[/tex]

If we multiply the sides by 7, we will have:

[tex]l '= 6,69432950 * 7\\l '= 46.86030650[/tex]

Then, the new volume will be:

[tex]V '= l' ^ 3\\V '= 102900 \ cm ^ 3[/tex]

Answer:

[tex]102900 \ cm ^ 3[/tex]

Write your answer as a fraction or as a whole mixed number 16 2/3 - 9 1/3=

Answers

16 2/3 - 9 1/3=7 1/3 or 22/3

Or

50/3 - 28/3= 22/3 or 7 1/3

The result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.  

What is the result of the given mixed fraction subtraction ?

Given equation of mixed fraction is 16 2/3 - 9 1/3

Thus, we have

= 16 2/3 - 9 1/3

= 50/3 - 28/3

= 22/3

Thus, the result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.

To learn more about mixed fraction, refer -

https://brainly.com/question/875401

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What is the probability?

Answers

Answer:

(C) is 0.14 that is your probability

Step-by-step explanation:

Can anyone help me please

Answers

Answer:

$55.24

Step-by-step explanation:

Add $32.78 + $27.24 + $5.22

= 65.24

Subtract 10

= $55.24

Answer:

55.24

Step-by-step explanation:

Shoes                            32.78

Dress                             27.24

Shipping                         5.22

Total                               65.24

Less Gift Certificate      10.00

Her Payment                  55.24

∠1 and ∠2 are complementary. If m∠1 = 4m∠2, find m∠1

Answers

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

given a triangle with sides measuring 18 inches,21 inches 14 inches find the measure of the anglewith the greatest ​

Answers

ANSWER

[tex]A = 80.98 \degree[/tex]

EXPLANATION

The angle with the greatest measure corresponds to the longest:

Since we know the three side lengths, we use the cosine rule to obtain;

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(A) [/tex]

where a=21, b=18 and c=14

[tex] {21}^{2} = {18}^{2} + {14}^{2} - 2 \times 18 \times 14\cos(A) [/tex]

[tex]44 1= 324+ 196 - 504\cos(A) [/tex]

[tex]44 1= 520 - 504\cos(A) [/tex]

[tex]44 1 - 520 = - 504\cos(A) [/tex]

[tex] - 79 = - 504\cos(A) [/tex]

[tex]\cos(A) = 0.1567[/tex]

[tex]A = \cos ^{ - 1} (0.1567) = 80.98 \degree[/tex]

correct to the nearest hundredth.

If the function rule is to add 6, and an output value is 6, what is the input value?

Answers

The answer is 0! The input value would be 0!

the function rule is to add 6, so:

y = x + 6        (y is the output, x is the input)

Since they gave you an output value of 6, you can plug it into the equation

y = x + 6          Plug in 6 for y

6 = x + 6    Subtract 6 on both sides to find the input value

0 = x

Help anyone please!!

Answers

Answer:

2/9 of a chance

Step-by-step explanation:

If she only spun the spinner twice and had to land on a 2 and a 3 in order to get a sum or 5.  The possible results of the spinners would be

1 & 1          2 & 1          3 & 1

1 & 2          2 & 2         3 & 2

1 & 3         2 & 3         3 & 3

only two of those possibilities equal 5.  So it would be 2/9 of a chance.

Find the highest common factor of 32, 48, 72

Answers

Answer:

8

Step-by-step explanation:

8 x 4 = 32

8 x 6 = 48

8 x 9 = 72

Plzzzzzzzz help meeeee

Answers

Answer:

38 in²

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where a, b are the parallel bases and h the perpendicular height

here a = 12, b = 7 and h = 4, hence

A = 0.5 × 4 × (12 + 7) = 2 × 19 = 38 in²

Answer:

38 in²

Step-by-step explanation:

An angle measures 148° less than the measure of a supplementary angle. What is the measure of each angle?

PLEASE HELP!!

Answers

I think the answer would be 32 degrees

Answer:

164 and 16

Step-by-step explanation:

7x-2y=37 4x+y=19 soliving system by elimation

Answers

Answer:

x=5  y=-1

Step-by-step explanation:

7x-2y=37

[2(4x+y=19)]=

8x+2y=38

---------------------

15x/15=75/15

x=5

[4(5)+y=19]

y=-1

Final answer:

The solution to the given system of equations using elimination is x = 5 and y = -1. This was achieved by multiplying the second equation by 2 and then adding both equations to eliminate y.

Explanation:

We are given a system of linear equations and are asked to solve it using the method of elimination. We have the following equations:

1) 7x - 2y = 37

2) 4x + y = 19

To eliminate one of the variables, we can multiply the second equation by 2 to make the coefficient of y the same in both equations (but with opposite signs). After this step, our system looks like:

1) 7x - 2y = 37

2) 8x + 2y = 38

Now, adding the two equations will eliminate y, and we get:

7x + 8x = 37 + 38

15x = 75

x = 5

We can then substitute the value of x into one of the original equations to solve for y:

4x + y = 19

4(5) + y = 19

20 + y = 19

y = -1

So, the solution to the system is x = 5 and y = -1.

Convert 346.5 lb. to kg.

Answers

Answer:

157.5

Step-by-step explanation:

346.5 lb = 157.16976 kg

346.5 lbs. = 157.16976 kg

What is XxYx4-34=?????

Answers

Answer:

4XY-34

Step-by-step explanation:

1. x*y=xy

2.xy*4=4xy

3. 4xy-34

Solve 2/3 + 5/8 and put answer in simplest form.

Answers

Answer:

1 and 7/24

Step-by-step explanation:

2/3 + 5/8

= 16/24 + 15/24

= 31/24

= 1 and 7/24

Hope this helps!

For this case we must simplify the following expression:

[tex]\frac {2} {3} + \frac {5} {8}[/tex]

Then, we add the fractions making cross product:

[tex]\frac {2} {3} + \frac {5} {8} = \frac {8 * 2 + 3 * 5} {3 * 8} = \frac {16 + 15} {24} = \frac {31 } {24}[/tex]

Thus, the fraction can not be simplified.

How mixed number we have:

[tex]\frac {31} {24} = 1 \frac {7} {24}[/tex]

ANswer:

[tex]\frac {31} {24}[/tex]

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