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andreev551 [17]
3 years ago
15

Subject Algebra 1

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

10x^{2}-34

Step-by-step explanation:

Because we are told equivalent expressions for y and z we can plug those in to 2(y+z).

2((3x^{2}+x^{2}-5)+(x^{2}-12))

Then simplify by combining like terms of the expressions. Values ending in x^2 can be combined with each other.

2(5x^{2}-17)

Now we can distribute the 2 by multiplying each value in the parentheses by 2.

10x^{2}-34

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Three different sets of objects contain 4, 5, and 12 objects, respectively. How
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Answer:

\text{B. }240}

Step-by-step explanation:

\binom{4}{1}\cdot\binom{5}{1}\cdot \binom{12}{1}=\boxed{\text{B. }240}}

(Multiplying each of the numbers also yields 240)

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If a woman making $29,000 a year receives a cost-of-living increase of 2.6%, what will her new salary be?
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8 0
3 years ago
Differentiate the function. f(x) = ln(25 sin^2(x))
tigry1 [53]
Use the chain rule.
Let u = 25sin²(x), such that dy/dx = dy/du · du/dx

\frac{dy}{dx} = \frac{1}{25sin^{2}(x)} \cdot 50cos(x) \cdot sin(x)
\frac{dy}{dx} = \frac{2cos(x) sin(x)}{sin^{2}(x)}

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8 0
3 years ago
On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system.
Mashutka [201]

we have

y\leq \frac{1}{4}x+3 ----> inequality 1

The solution of the inequality 1 is the shaded area below the solid red line

The solution is the region D and region C

y\geq-x+5 -----> inequality 2

The solution of the inequality 2 is the shaded area above the solid blue line

The solution is the region B and region C

The solution of the system is the common area

so

The solution is the region C

see the attached figure

therefore

the answer is the option C

Region C

3 0
3 years ago
Read 2 more answers
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