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Darya [45]
3 years ago
7

F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

Mathematics
2 answers:
ziro4ka [17]3 years ago
6 0

Answer:

h(x)=9x-13

Step-by-step explanation:

We want to find out what h(x) is. We know what h(x) is equal to, which is

h(x)= f(x)+g(x)

We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.

h(x)= (2x-1)+(7x-12)

Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.

h(x)=(2x+7x)+(-1+-12)

Add 2x and 7x.

h(x)=(2+7)(x)+(-1+-12)  

h(x)= 9x+(-1+-12)

Add -1 and -12.

h(x)= 9x+(-13)

<u>h(x)=9x-13</u>

WINSTONCH [101]3 years ago
4 0

Answer:

<h2><em>h</em><em>(</em><em>x</em><em>)</em><em>=</em><em>9</em><em>x</em><em>-</em><em>1</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>h(x) = f(x) + g(x) \\  \:  \:  \:  \:  \:  \:  \:  = 2x - 1 + 7x - 12 \\  \:  \:  \:  \:  \:  \:  = 2x + 7x - 1 - 12 \\  \:  \:  \:  \:  \:  \:  = 9x - 13</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

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Rick used a stick to trace a large rectangle in a sandy lot
konstantin123 [22]

Answer:

56 feet

Step-by-step explanation:

Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.

Hope this helps!

8 0
2 years ago
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Factor.<br> 9y2 - 12y - 12 Please put it as (x+b) (x+b) form
Step2247 [10]

Answer:

3(3y+2)(y-2)

hope this helps

4 0
3 years ago
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The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
WINSTONCH [101]

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

8 0
3 years ago
Sienna planned a rectangular pool, as shown in the scale drawing below.
svlad2 [7]

Answer:

The scale factor is

27.5 feet / 22 feet = 1.25.

Explanation:

Whenever you are calculating factors, you are comparing two measurements. In this problem we compared a longer length to a shorter length pool. The length was changed to (27.5 feet) and youre comparing to the length it was originally (22 feet).

Ok so you know the two measurements being compared, but how come it’s 27.5/22 and not 22/27.5? Because the value got bigger.

In this problem you had a pool with long side of 22 ft. But then you made it longer to 27.5 ft. So it scales up,

It went from 100% its length to 125% its length. So the length is 125% / 100% = 1.25 times longer than it used to be.

Here’s another example:

How do you calculate your grade percentage on a test? You take the amount of points you earned and divide by the total possible points. Your grade percentage is a comparison of your score (Compare value) compared to a perfect score (reference value) .

So lets say your test had 22 total points. You get all the answers correct so you get 22/22 points which is 22/22*100 = 100%. Let’s say you get an extra bonus question correct so you end up with even more points and you get 27.5 points out of 22. By getting the bonus points you scaled up your score! Now your score is 27.5/22 * 100 = 125%. So you went from 100% to a 125%. Or from a scale factor of 1 to 1.25.

Whenever the value is getting bigger than it was, you’re going to have a compared percentage over 100%. If the value gets smaller, then you would get a compared percentage less than 100%. Similarly a factor scale is going to be over 1 if the compared value is getting bigger, and less than 1 if it’s getting smaller.

So you don’t need to use percentages, factors are the same they just look a little different.

27.5/22 = 125% / 100% = 1.25

In summary just do this division:

(compare value)/(reference value). The result is how big the top value is compared to the bottom value.

5 0
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Lelechka [254]

Answer:

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Step-by-step explanation:

multiply 13.45 by 40 and you will get 534

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