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3 years ago

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Mathematics

1 answer:

Neko [114]3 years ago

4 0

Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = -3 and k = -8.

Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2

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A book 500 pages (500 sheets of paper) long is 2.25 inches thick. If each cover is 0.125 inches thick, how thick is each sheet o

luda_lava [24]

Subtract the thickness of the covers from the total thickness of the 500-pages book. Since each cover is 0.125 inches thick, double this value and subtract from 2.25 inches. This results to 2 inches. To determine the thickness of each of the pages, divide 2 inches by 500 pages. Therefore, the thickness of a single page is 4x10^-3 inch.

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3 years ago

The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

2 years ago

What is 14 pints equal to in cups?

lilavasa [31]

There are 2 cups in 1 pint. So you could count by 2s until you get to 14. Or you can multiply 14×2=28

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3 years ago

Given h(x) = 5x + 2, solve for a when h(x) = -8.

Whitepunk [10]

Answer:

i think its -38

Step-by-step explanation:

3 0

3 years ago

Murphy loves pistachio nuts. Every saturday morning, she walks to the market and buy some. Last week, she bought two pounds and

Alexxx [7]

Question is Incomplete, Complete question is given below,

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buys some. Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What the unit rate for pistachio nuts?

Answer:

The unit rate for pistachio nuts is $3.98.

Step-by-step explanation:

Given;

Price of 2 pounds of pistachio nuts = $7.96

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = $\frac{\$7.96}{2} = \$3.98$

Also given:

Price of half pound of pistachio nuts = $1.99

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = $\$1.99\times 2 = \$3.98$

Hence, The unit rate for pistachio nuts is $3.98

3 0

3 years ago