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4 years ago

Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?

Mathematics

2 answers:

artcher [175]4 years ago

5 0

Answer: Option 3.

Step-by-step explanation:

1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.

2. Then, you have that the first step is:

$2x-3(x+2y)-5(y-7x)=2x-3x-6y-5y+35x$

3. Therefore, you can conclude that the correct answer is the third option.

viva [34]3 years ago

3 0

Answer:

2x - 3x - 6y -5y + 35x

Step-by-step explanation:

2x-3(x+2y)-5(y-7x)

We use order of operations PEMDAS

Lets start with parenthesis

We distribute -3 inside the parenthesis and Distribute -5 inside the parenthesis

2x - 3x - 6y -5y + 35x

combine like terms

-1x - 6y -5y + 35x

-1x - 11y + 35x

34x - 11y

first step is 2x - 3x - 6y -5y + 35x

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The complement of angle A is 38 degrees more than angle A

ozzi

I assume that you want the measurement of angle A
A + (A + 38) = 90
angle A + (38 more than angle a) = are complementary
2A = 52
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Hope this helps. If it did, consider making it Brainliest!

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3 years ago

Read 2 more answers

Until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting

umka2103 [35]

Answer:

the two groups differed in their attitudes toward advertising, significantly

Step-by-step explanation:

given that until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting doctors and lawyers from advertising violated their right to free speech. The paper "Should Dentists Advertise?" Journal of Advertising Research, June 1982) compared the attitudes of 101 consumers and 124 dentists to the questions "I favor the use of advertising by dentists to attract new patients".

Hypotheses would be

H-0: the groups do not differ

H-a: The two groups differ significantly

(two tailed chi square test)

Observed

Group Strongly agree Agree Neutral Disagree Strongly disagree Total

Consumers 34 47 9 6 5 101

Dentists 9 18 23 28 46 124

Expected is calculated as row total * column total / grand total for each cell

chi square = (obs - exp)^2/Exp for each cell added

chi square = 79.2716

rxc 5x2

df = 4x1 =4

p value <0.00001

Since p < alpha say 0.01, we reject null hypothesis.

the two groups differed in their attitudes toward advertising, significantly

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3 years ago

Find the volumes of the solids generated by revolving the triangle with vertices (2, 2), (2, 6), and (5, 6) about a) the x-a

Vesna [10]

About the $x$ -axis (washer method):

$\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}$

About the $y$ -axis (shell method):

$\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}$

About $x=7$ (shell method):

$\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}$

About $y=2$ (washer method):

$\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}$