If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18

Answer:

y = - [tex]\frac{7}{4}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{7}{4}[/tex] and c = 5 , then

y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

here are 8 different possible outcomes in the sample space. There are 2 outcomes for the coins, heads and tails. And 4 colors for the spinner.

If you put them together, you have:

H - R

H - G

H - Y

H - O

T - T

T - G

T - Y

T - O

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Answer:

144

Step-by-step explanation:

We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.

Hope that this helps!

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

‎      ‏‏‎

In this exercise:

Let's apply the distributive property:

[tex]\mathsf{2(3w - 5y)}[/tex]

[tex]= \mathsf{2(3w) - 2(5y)}[/tex]

[tex]= \boxed{\mathsf{6w - 10y}}[/tex]

‎      ‏‏‎

‎      ‏‏‎

Given:

[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]

To find:

The value of [tex]\text{cosec}\theta +\cot \theta [/tex].

Solution:

We have,

[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]

We know that,

[tex]\text{cosec}^2\theta -\cot^2 \theta=1[/tex]

It can be written as:

[tex](\text{cosec}\theta -\cot \theta)(\text{cosec}\theta +\cot \theta)=1[/tex]

[tex]\dfrac{1}{M}\times (\text{cosec}\theta +\cot \theta)=1[/tex]

[tex]\text{cosec}\theta +\cot \theta=1\times M[/tex]

[tex]\text{cosec}\theta +\cot \theta=M[/tex]

Therefore, the value of [tex]\text{cosec}\theta +\cot \theta [/tex] is [tex]M[/tex].

Answer: Simplify your answer will be 2x^2 X + 3xX - 6x^2 - 4X _ 9x + 12

Step-by-step explanation: Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

2x³ - 3x² - 13x + 12

Step-by-step explanation:

If you're looking for the simplified answer there it is! If you need help evaluating I'd love to help!

Answer:

Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.

Step-by-step explanation:

Any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).

If the system of equations has a solution of (9,-5), then we can substitute x = 9 and y = -5 into the equations and verify that they are true:

A(9) + B(-5) = C

D(9) + E(-5) = F

Simplifying these equations, we get:

9A - 5B = C

9D - 5E = F

So, any system of equations that can be written in this form will also have a solution of (9,-5):

9A - 5B = C

9D - 5E = F

Therefore, any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).

To know more about the system of equations follow

https://brainly.com/question/31505340

#SPJ2

Answer:

52

Step-by-step explanation:

1) 7x + 6(3x-8)

2) 7(4) + 6(3(4)-8)

3) 28 + 6(12-8)

4) 28 + 6(4)

5) 28 + 24

6) 52

Answer:

25 grays, 7 pink, 22 orange

total marbles- 54

marbles that are not grey- 29

P(not grey): 29/54

Answer:

5

Step-by-step explanation:

3/(x/9)=5 2/5

5 2/5=27/5

(3/1)(9/x)=27/5

27/x=27/5

x=5

Answer:

#7

Ratio of corresponding sides (determined by opposite angles)

The ratios are equal, the polygons are similar

# no number

Ratios:

Yes, similar

# 8

The triangles are isosceles.

The ratios of bases and sides:

B. ABC ~ MNO, SSS

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

Answer:

The angles in the smaller prism measure 90 degrees.

The perimeter of the rectangular bases changes by a factor of 2.

The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

Two polygons are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.

A) Since the two prism are similar, therefore they are to have the same angle measure. The bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

Hence, The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

C) Surface area of bigger prism = 2(2.2*0.8 + 3.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.1*0.4 + 1.6*0.4 + 1.6*1.1) = 5.68

22.72 / 5.68 ≠ 8, hence the surface area does not change by a factor of 8

Option C is wrong

D) Volume of bigger prism = 3.2 * 2.2 * 0.8 = 5.632

Volume of smaller prism = 0.4 * 1.6 * 1.1 = 0.704

The volume of larger prism is not twice of the smaller prism (5.732 / 0.704 ≠ 2)

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

Since 1.76 / 0.44 = 4; The area of the rectangular bases changes by a factor of 4

You need 2 half-teaspoons, since

1/2 tsp + 1/2 tsp = (1 + 1)/2 tsp = 2/2 tsp = 1 tsp

Answer:

J: (-3,1) K: (4,2) L: (3,-4)

Step-by-step explanation:

Answer:

I think after 1.6 s it Will catch the dog

Answer:

x = 5

Step-by-step explanation:

Simplify the like terms:

15x - 8x = 7x

so, 7x = 35

divide: 35/7 = 5

x=5

Answer:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

5

,

0

)

y-intercept(s):

(

0

,

10

)

Step-by-step explanation:

hope it helps make brainlliest ty

Answer:

C. Yes nicholas is right.

Given:

The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters.

To find:

The diameter of the flower.

Solution:

We know that, the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius.

[tex]C=(2r)\pi [/tex]

[tex]C=d\pi [/tex]                            [tex][\because 2r=d][/tex]

Where, d is the diameter.

Putting [tex]C=286, \pi=3.14[/tex] in the above formula, we get

[tex]286=d(3.14)[/tex]

[tex]\dfrac{286}{3.14}=d[/tex]

[tex]91.0828=d[/tex]

[tex]d\approx 91.08[/tex]

Therefore, the diameter of the flower is about 91.08 centimeters.

Answer:

1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits

Step-by-step explanation:

Answer:

162.069%

Step-by-step explanation:

Answer:

Answer:

x=7

Step-by-step explanation:

8x-5y=16

8x-40=16

8x=56

x=7

Answer:

Step-by-step explanation:

hello :

put x = -5 in this equation : a(4-x) =-3x + b

a(4+5) =15 + b

9a = 15 +b

b = 9a - 15

the values of a and b is all order  pair :   ( a  ; 9a-15)  a real number