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andriy [413]
3 years ago
7

I cant seem to remember how to do this...can you help me?

Mathematics
1 answer:
Neko [114]3 years ago
7 0
All you have to do is set them equal to each other, then solve for x.

f(x) = g(x)
3x - 4 = (5/3)x - 8 ... add 4 to both sides
3x = (5/3)x - 4 ... subtract (5/3)x
(4/3)x = - 4 ... divide by (4/3)
x = -3 is your answer
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X+y+z=2<br> X-y-z=2<br> x-y+z=-6
likoan [24]
<h2>The first one:</h2>

<u>solve for x.</u>

Step 1: Add -y to both sides.

x+y+z+−y=2+−y

x+z=−y+2

Step 2: Add -z to both sides.

x+z+−z=−y+2+−z

<u>x=−y−z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -z to both sides.

y+z+−z=−x+2+−z

<u>y=−x−z+2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -y to both sides.

y+z+−y=−x+2+−y

<u>z=−x−y+2</u>

<u />

<h2>The second one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y−z+y=2+y

x−z=y+2

Step 2: Add z to both sides.

x−z+z=y+2+z

<u>x=y+z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add z to both sides.

−y−z+z=−x+2+z

−y=−x+z+2

Step 3: Divide both sides by -1.

−y /−1  = −x+z+2 /−1

<u>y=x−z−2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add y to both sides.

−y−z+y=−x+2+y

−z=−x+y+2

Step 3: Divide both sides by -1.

−z /−1  =  −x+y+2 /−1

<u>z=x−y−2</u>

<u />

<h2>The third one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y+z+y=−6+y

x+z=y−6

Step 2: Add -z to both sides.

x+z+−z=y−6+−z

<u>x=y−z−6</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add -z to both sides.

−y+z+−z=−x−6+−z

−y=−x−z−6

Step 3: Divide both sides by -1.

−y /−1  =  −x−z−6 /−1

<u>y=x+z+6</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add y to both sides.

−y+z+y=−x−6+y

z=−x+y−6

I hope this was helpful <3

3 0
3 years ago
Please help with this question (the attached image)
Viktor [21]

Answer:

it is c

i had this test pls marek me brainlyesest

4 0
3 years ago
Read 2 more answers
Is the quotient of -125 and five positive negative or zero
saul85 [17]

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

4 0
3 years ago
Read 2 more answers
I need help finding the factor!<br> please
irina1246 [14]

Answer:

(x-8) (x-4)

Step-by-step explanation:

x^2 -12x +32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8-4 = -12

(x-8) (x-4)

5 0
4 years ago
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According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. Sup
Verizon [17]

Answer:

There is evidence to said that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than 0.18

Step-by-step explanation:

First, we need to define the null and alternative hypothesis as:

H0: p = 0.18

H1: p > 0.18

Where p is the proportion of shoppers that said that they prefer to buy generic instead of name-brand products.

Then, we can calculated the test statistic using the following equation:

z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }

Where p' is the proportion of the sample and n is the size of the sample.

Replacing p by 0.18, p' by 0.21 (315/1500 = 0.21) and n by 1500, we get:

z=\frac{0.21-0.18}{\sqrt{\frac{0.18(1-0.18)}{1500} } }=3.02

So, using the standard normal table, the p-value is calculated as:

p-value = P(z>3.02) = 0.0013

Additionally, At a 5% significance level, the critical value is the z value that let 5% on the right tail, so it is calculated as:

P(Z>z) = 0.05

Critical Value = 1.64

Finally, taking into account that the 5% significance level is higher than the p-value and the critical value is higher than the test statistic, we reject the null hypothesis and there is evidence to said that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than 0.18

7 0
3 years ago
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