Will A Dilation With A Scale Factor Of 1/2 Create An Enlargement Or A Reduction? (A.) Enlargement (B.) (2023)

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (9, 7), thus

y = a(x - 9)² + 7

To find a substitute (3, 8) into the equation

8 = a(3 - 9)² + 7

8 = 36a + 7 ( subtract 7 from both sides )

36a = 1 ( divide both sides by 36 )

a =

y = (x - 9)² + 7 ← in vertex form

Expanding the factor and simplifying

y = (x² - 18x + 81) + 7

= x² - x + + 7

= x² - x + ← in standard form

Answer:

7.5miles is the answer

Answer:

Option C. exponential decay function

Step-by-step explanation:

In this problem we have a exponential function of the form

where

y ---> is the money that is in the bank

x ----> number of days

a ---> is the initial value or y-intercept

b is the base of the exponential function

r ---> is the rate of change

b=(1+r)

In this problem we have that

Each day 1/2 of the money that is in bank value is removed

so

---> is negative because is a decreasing function

The value of b is equal to

The value of b is less than 1

b Is a exponential decay function

Divide the total amount by the cut length:

12.92 / 0.38 = 34

He can make 34 pieces.

Answer: 34

Step-by-step explanation:

12.92 / 0.38 = 34 pieces

just division my dude

Answer:

A function can only have one y value for each value of x, ie., y = f(x). The vertical line test verifies this. If you move a vertical line across the grid, your graph should never intersect this line at more than one place at a time. If it intersects at 2 or more places, there is no way a y=f(x) can make this happen, so then it is not a function.

Answer:A function can only have one y value for each value of x, ie., y = f(x). The vertical line test verifies this. If you move a vertical line across the grid, your graph should never intersect this line at more than one place at a time. If it intersects at 2 or more places, there is no way a y=f(x) can make this happen, so then it is not a function.

Step-by-step explanation:

Answer:

22 and 24

Step-by-step explanation:

If we call the numbers a and b, assuming b is the higher of the two, we know that

a + b = 46

b - a = 2

So

b = 2 + a (rewritten the second)

a + 2 + a = 46 (plug second into first)

2a = 44 (simplify a+a=2a and 46-2=44)

a = 22 (divide by 2)

b = 22+2=24 (fill in a in second)

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

• Two sides of a triangle are equal in length
• The third side is 3 m less than the common length
• Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

• Assuming the common sides are x m each
• Then, the third side will be (2x-3) m
• Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

Answer:

the answer is 4

hope it helps!

Answer:

4

Step-by-step explanation:

Kahn Acadmey said so

Answer:

6 3/4

Step-by-step explanation:

y = abˣ

16 = ab¹

9 = ab⁵

ab⁵ / ab¹ = 9 / 16

b⁴ = 9/16

b² = 3/4

7th term: y = ab⁷ = ab⁵ x b² = 9 x 3/4 = 27/4 = 6 3/4

Answer:

! with your remander of 1 so as a fraction 1 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

co-prime is when ur numbers have no common factors other then 1.

(a) 18 and 35....this is co-prime

(b) 15 and 37....this is co-prime

(c) 30 and 415....not co-prime....common factor of 5

(d) 17 and 68...not co-prime....common factor of 17

(e) 216 and 215.....this is co-prime

(f) 81 and 16....this is co-prime

Answer:

Step-by-step explanation:

(x-7) * -5 = 60

-5x + 30 = 60

5x = 60 - 30

x = 30/-5

so x = -5

Answer:

Step-by-step explanation:

total price was reduced by $ 7

let x = the total price........ x - 7

he bought 10.....and it cost him $ 130

10(x - 7) = 130

10x - 70 = 130

10x = 130 + 70

10x = 200

x = 200/10

x = 20

Answer:

Step-by-step explanation:

1/3 of $62.85

= $20.95

The price = $(62.85 - 20.95)

= $41.90

Answer:

$41.9

Step-by-step explanation:

divide $62.85 and get 20.95 which is 1/3 of it so then you just subtract $20.95 from $62.85 and get 41.9

Answer:

Step-by-step explanation:

Total marble = 9

No. Of Green n(G) = 2

No. Of Red n(R) = 4

No. Of Blue n(B) = 3

Prob(1st Blue) = 3/9 = 1/3

Now there are 8 marbles left

Prob(2nd Green) = 2/8 = 1/4

Prob(1st Blue and 2nd Green) will be = 1/3 × 1/4 = 1/12

Answer:

24 cm

Step-by-Step explanation:

Given that there is a parallelogram and adjacent sides are in the ratio

17:7

The second side =3.5cm

So we have x:3.5 = 17:7 where x is the unknown first side

Solve using ratio property to get

3.5(17) = 7xOr x = 8.5 cm

Perimeter of parallelogram = sum of all sides

= 2(sum of one pair of adjacent sides)

=2(8.5+3.5)

=2(12)

=24 cm

Answer:

88.37%

Step-by-step explanation:

(380/430)×100=88.37%

Answer:

-7

Step-by-step explanation:

If you know that 49 ÷ 7 = 7, you can then infer that:

-49 ÷ 7 = -7

Hope this helps :)

Answer:

x = 8

Step-by-step explanation:

9x = 72

x = 72 ÷ 9

x = 8