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3 years ago

What is 5x + 11 - 2x = 17

Mathematics

2 answers:

tino4ka555 [31]3 years ago

5 0

Answer: x = 2

Step-by-step explanation:

5x + 11 - 2x = 17

Combine like terms

3x + 11 = 17

Subtract 11 from each side

3x = 6

Divide each side by 3

x = 2

In-s [12.5K]3 years ago

5 0

5x+11-2x=17
3x+11=17
3x=6
X=2

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Answer:

Nicole should take 13 1/8 cups of snack mix.

Step-by-step explanation:

If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:

15 × 7/8

Write 15 over 1 (15 = 15/1) to make the calculations easier:

15/1 × 7/8

Multiply the numerators and denominators separately:

15 × 7 / 1 × 8

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Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:

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3 years ago

Which expression is equivalent to (x superscript four-thirds baseline x superscript two-thirds Baseline ) superscript one-third

Andrei [34K]

<h3>The equivalent expression is:</h3>

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Solution:

Given expression is:

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$

We have to find the equivalent expression

We can simplify the above expression using law of exponents

Use the following law of exponents:

$a^m \times a^n = a^{m+n}$

Therefore,

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^{\frac{4}{3}+\frac{2}{3}})^{\frac{1}{3}}\\\\Simplify\\\\\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^2)^\frac{1}{3}$

Use another law of exponent

$(a^m)^n = a^{mn}$

Therefore,

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Thus the equivalent expression is found

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2 years ago

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Vilka [71]

Answer:

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Step-by-step explanation:

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2 years ago

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Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Si

jek_recluse [69]

The value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.

<h3>What is composite function?</h3>

When a function is written inside the another function, then such function is called the composite function.

The first function given in the problem is,

$f(x) = x^2 - x - 2$

The second function given,

$g(x) = - 6x - 8$

To find out the value of g(2), put the 2 on place of variable x in the above equation as,

$g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20$

The composite function f(g(x)) can be given as,

$f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418$

Thus, the value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.

Learn more about the composite function here:

brainly.com/question/10687170

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2 years ago

A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches longer than the shorter how

matrenka [14]

Answer:

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Step-by-step explanation:

Let the length of the shorter piece be x

Then the longer piece is x + 7

x + x + 7 = 45
2x = 45 - 7
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x = 19

Short piece = 19 in

Long piece = 26 in

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3 years ago