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3 years ago

7x/2+5=8 solve for x

Mathematics

2 answers:

Basile [38]3 years ago

8 0

Answer:

X=6/7 or in decimal form 0.857

Step-by-step explanation:

ANEK [815]3 years ago

4 0

Answer:

X= 6/7

Step-by-step explanation:

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The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

What is the greatest common factor of the monomials a2b5 and a3b3

Mumz [18]

Answer:

The greatest common factor of the monomials a2b5 and a3b3 is a2b3 .

6 0

3 years ago

Please check my homework on Negative Indices!

rusak2 [61]

Our first expression is $(2p^{-3} q^{8} )^{4}$ . Upon distributing the exponent 4 on all the terms, we get:

$(2p^{-3} q^{8} )^{4}=2^{4}(p^{-3})^{4}(q^{8})^{4}=16p^{-12}q^{32}=\frac{16q^{32}}{p^{12}}$

Therefore, your answer is correct for this part. :)

Second expression is $(2m^{-4}n^{5})^{-2}$ . Upon distributing the exponent -2 on all the terms, we get:

$(2m^{-4}n^{5})^{-2}=2^{-2}(m^{-4})^{-2}(n^{5})^{-2}=2^{-2}m^{8}n^{-10}=\frac{m^{8}}{4n^{10}}$

Your second answer is correct too.

Our third expression is $2(5g^{-4}h^{-6})^{2}$ . Upon distributing the exponent 2 on all the terms, we get:

$2(5g^{-4}h^{-6})^{2}=2(5^{2})(g^{-4})^{2}(h^{-6})^{2}=2(25)g^{-8}h^{-12}=\frac{50}{g^{8}h^{12}}$

This one is not correct. Your answer would have been correct, if the exponent were -2 instead of 2 in this part.

Our forth and last expression is $4(2c^{-3}d^{6})^{-5}$ . Upon distributing the exponent -5 on all the terms inside the parenthesis, we get:

$4(2c^{-3}d^{6})^{-5}=4(2^{-5})(c^{-3})^{-5}(d^{6})^{-5}=\frac{4}{2^{5}}(c^{15})(d^{-30})=\frac{4c^{15}}{32d^{30}}=\frac{c^{15}}{8d^{30}}$

Therefore, your answer for this part is also correct.

Looking at your work, I don't think you made a mistake in number 3 also, probably mis-typed the question while writing here :)

3 0

4 years ago

Convert the fraction 4/5 to a decimal. SHOW WORKING.

astraxan [27]

Answer:

The answer is 0.8

Step-by-step explanation:

$\: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0$

Thus, The answer is 0.8

-TheUnknownScientist 72

8 0

2 years ago

Please help! offering 15 points and a thanks with brainiest

abruzzese [7]

Answer:

$\huge\boxed{ 12\ people}$

Step-by-step explanation:

At least 6 hours means that the people took at least 6 hours and at most any number that is greater than 6. Here the greatest no. is 10.

So, the range for this will be 6-10

No. of People who sleep for 6-8 hours = 9

No. of People who sleep for 8-10 hours = 3

No. of People who sleep for 6-10 hours = 9+3

=> 12 people

4 0

4 years ago