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3 years ago

Adding and subtracting functions

Mathematics

1 answer:

tangare [24]3 years ago

4 0

Answer:

5x - 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 3x - 2 + 2x + 1 ← collect like terms

= 5x - 1

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How do you explain ratios?

zepelin [54]

A ratio is the part divided by the whole. Johnny took 3 pieces of pizza when the whole pizza had 8. Johnny has 3/8 (3 out of 8) pieces of pizza, or .375 parts. To find that number, literally divide your part from your whole to get the decimal form.

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3 years ago

The radius of the hydrogen atom is 0.529x10/-10 and the radius of the nucleus is 1.2x10/-15m. Compare the radius of each by writ

raketka [301]

we know that

The radius of the hydrogen atom is $0.529*10^{-10}m$

The radius of the nucleus is $1.2*10^{-15}$ m

the ratio is equal to

$\frac{0.529*10^{-10}}{ 1.2*10^{-15}} = 44,083.33$

that means the radius of the hydrogen atom is 44,083.33 times the radius of the nucleus

therefore

<u>the answer is</u>

the ratio is equal to 44,083.33

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3 years ago

For the equation y=5x+4, determine the value of y when x=−1.

Furkat [3]

Step-by-step explanation:

y = 5x + 4, x = -1

y = 5(-1) + 4

y = -5 + 4

y = -1

5 0

3 years ago

What is the difference of the fractions? Use the number line to help find the answer.

Doss [256]

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$

Step-by-step explanation:

Given the expression

$\frac{1}{5}-\frac{3}{4}$

Determining the difference of the fractions

$\frac{1}{5}-\frac{3}{4}$

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

$\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}$

Apply the fraction rule: $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$=\frac{4-15}{20}$

Add the number: 4-15 = -11

$=\frac{-11}{20}$

Apply the fraction rule: $\frac{-a}{b}=-\frac{a}{b}$

$=-\frac{11}{20}$

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$

3 0

3 years ago

Jerry takes trail mix on hikes. A package of dried apricots weighs 55.5 ounces. A package of sunflower seeds weighs 9 ounces. Je

scZoUnD [109]

Answer:

7.75 ounces more

Step-by-step explanation:

Hope this helps!

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3 years ago