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3 years ago

If h(x) = x2-5x + 7 find: h(-5)

Mathematics

2 answers:

NISA [10]3 years ago

7 0

It is −3)=57. Explanation: Hence h(x)=5x2−4x then just replace x for −3. h(−3)=5⋅(−3)2−4⋅(−3)⇒h(−3)=45+12⇒h(−3)=57

Lady_Fox [76]3 years ago

5 0

Answer:

h(-5)=22

Step-by-step explanation:

Replace x with -5.

$h(-5) = (-5)2-5(-5) + 7$

Simplify.

$h(-5)=-10+25+7$

Simplify.

$h(-5)=22$

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Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

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Step 2: Rewrite

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3 years ago

Martha Washington walks 30 minutes each day. If she walks for 140 days, how many hours will she walk?

telo118 [61]

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2 years ago

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2 years ago

A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours

bekas [8.4K]

Answer: 1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let x be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, x, that we are solving for. We can write x in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find x.

<h3>Find the scale factor</h3>

Start with the proportion.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

To find the scale factor,

Take the denominator from the fraction with a variable: $1\ hr$
Take the denominator from the fraction that has no variable: $\frac{1}{3}\ hr$
Divide step 1 by step 2 and solve: $1\ hr\ \div\ \frac{1}{3}\ hr = 3$

Our scale factor is 3.

<h3>Solve for x</h3>

We can find x by multiplying the numerator in the first fraction by the scale factor. This is because x is also in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}$

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}$

Simplify 3/30 by dividing the fraction by 3.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}$

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0

1 year ago

Can someone help me out on questions 6, 7, and 8?

PolarNik [594]

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3 years ago