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3 years ago

F(x)=-4(x-3)^2+7 can some one solve this quickly

Mathematics

2 answers:

Nesterboy [21]3 years ago

5 0

$\bf f(x) = -4(x-3)^2+7\implies f(x) = -4(x-3)(x-3)+7 \\\\\\ f(x) = -4(\stackrel{\mathbb{F~O~I~L}}{x^2-6x+9})+7\implies f(x) = (-4x^2+24x-36)+7 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill f(x) = -4x^2+24x-29~\hfill$

AleksandrR [38]3 years ago

4 0

Answer:

y = -4x^2 +24x - 29

Step-by-step explanation:

Standard notation

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3 0

3 years ago

If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?

asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

$\frac{21.8 miles}{1 gallon}$ = $\frac{x miles}{16 gallons}$

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0

2 years ago

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

8 0

3 years ago

Does Anyone have idea how to solve this problem?

garik1379 [7]

A.

5 * 2 = 10

8 * 2 = 16

10 cm by 16 cm is the new dimensions. Area = 160 sq cm. Perimeter = 52 cm.

B.

5 * 3 = 15

8 * 3 = 24

15 cm by 24 cm is the new dimensions. Area = 360 sq cm. Perimeter = 78 cm.

C.

The areas for the different sized photos both still maintain a ratio of 5:8 cm.

6 0

3 years ago

Read 2 more answers

Y-intercept is 100 and slope is 5. Partner gave example: Younger brother had 100 small building blocks, but lost 5 of them every

ArbitrLikvidat [17]

Since he lost 5 every month, it should be that the slope is -5, not 5, he is not gaining 5 every month

yint is 100 and slope is -5 would be correct
b=-5m+100
b=number of blocks he has after m months

3 0

4 years ago