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3 years ago

Algebra 2 questions

Mathematics

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

The fractions need to have common denominators. So, we would make the common denominator (x + 3)(x - 3), or, x^2 - 9

Multiply the numerator by the same number or variable as the denominator and then combine.

Once their is x and a number left you would solve for x.

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A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.

yanalaym [24]

X-ounces of an oil blend,
y - ounces of glycerin
x + y = 4 ⇒ y = 4 - x
1.5 x + y = 5.50
1.5 x + 4 - x = 5.50
0.5 x = 5.50 - 4
0.5 x = 1.50
x = 3
y = 4 - 3 = 1
There are 3 ounces of an oil blend and 1 ounce of glycerin.

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3 years ago

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

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3 years ago

What is the mean of the following set of data?<br> {6,9,3, 8, 9,3,4}

Setler79 [48]

Answer:

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers

6+9+3+8+9+3+4= 42

42/7 = 6

7 0

2 years ago

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A number a decreased by 7 is 2.

umka21 [38]

Answer:

Step-by-step explanation:

Let's first convert this to numbers. When a number is decreased by a certain amount, that is the same as saying that something is subtracted from it. Therefore:

a-7=2

Add 7 to both sides:

a-7+7=2+7

a=9

Hope this helps!

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3 years ago

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