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kifflom [539]
3 years ago
15

Suppose that f(x)=x^2 and g(x)=-1/4(x+7)^2. Which statement best compares the graph of g(x) with the graph of f(x)?

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

Both of these graphs are quadratics. They both form a parabola opening up

Step-by-step explanation:

The only difference between g(x) and f(x) is that g(x) is moved to the left 7 unit and has a horizontal stretch of 1/4

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A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
13. 5/6+9/11
Juli2301 [7.4K]

Explanation:

Addition of fractions can be accomplished using the formula ...

a/b + c/d = (ad +bc)/(bd)

Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.

___

13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66

___

14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40

___

15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60

___

Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...

(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.

You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)

__

16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7

8 0
4 years ago
Which set of real numbers BEST describes the solution set for the inequality?3x 1 =<5
Deffense [45]
<span>B. all real numbers greater than or equal to 2</span>
3 0
3 years ago
Solve<br> Help mee please
lesantik [10]

1/2 Square equals to 1/4 equals to x over 5 2 Square

therefore 1/4 equals to x over 5 2 square

Equals to 1/4 equals to x over 5 * 4 you know that 2 square equals to 4

So now I'm going to solve for 1/4 equals to x of over 5 * 4 equals to 20

1/4 equals to x over 20

1/4 equals to 20 cross multiply

= 1\4 = x/20

= 4 * x = 20*1

4x = 20

divide both side by the coefficient of x

4x/4 = 20/4

x =5

3 0
3 years ago
Divide. Reduce the answer to lowest terms. 5 1/10 ÷ 6 2/5
Zanzabum

Answer:

<h3>5 1/10 ÷ 6 2/5 = 51/64</h3>

Step-by-step explanation:

5 1/10 = 51/10

6 2/5 = 32/5

5/10 ÷ 32/5 = 5/10*5/32= 255/320=51/64

6 0
4 years ago
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