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3 years ago

Solve the equation 6x + 12 = 4x - 18

Mathematics

2 answers:

Nataly [62]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

collect like terms

6x+4x= -18-12

2x= -30

divide through by 2

2x/2= -30/2

x = -15

therefore

x = -15

kenny6666 [7]3 years ago

4 0

Answer:

X = -15

Step-by-step explanation:

6X +12 = 4X -18

Subtract 4X from both sides

2X +12 = -18

Subtract 12 from both sides

2X = -30

Divide both sides by 2

X = -15

So basically just have the unknown on one side and normal numbers on the other. Make sure you do the same thing on both sides.

Mark me as brainliest if this helps!

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Evaluate each expression if A=Z, B=5, X=4, and N=10. what is the answer for [a+8 (b-2)]^2÷4

nalin [4]

Hi!

<h3>Put in the values. </h3>

[z+8(5-2)]^2/4

<h3>Now use PEMDAS to solve. </h3>

Parentheses - Subtraction

[z+8*3]^2/4

Parentheses - Multiplication

[z+24]^2/4

Exponents

z+576/4

Division

<h2>When you evaluate [a+8 (b-2)]^2÷4, you get z + 144</h2>

Hope this helps! :)

-Peredhel

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4 years ago

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

kaheart [24]

Answer:

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.52$ estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

5 0

3 years ago

Reflect the triangle =(-1,-2), 4(1,1), V(4,- 3) across the line y = x

alekssr [168]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(- 1, - 2 ) → (- 2, - 1 )

(1, 1 ) → (1, 1 )

(4, - 3 ) → (- 3, 4 )

5 0

3 years ago

Please solve for me and give me a caculator where i can find out how to do this

tekilochka [14]

We can help you and somebody can help you with calculator

4 0

3 years ago

Work out<br> 2/5<br> of 60<br> Pls work this out. It’s urgent!

xxTIMURxx [149]

Answer is 24.

firsty remember OF= MULTIPLY

NOW we can calculate this easily

here the equation is given

2/5×60. u can solve this in given ways below….…..

1……….

u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.

2……….

u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4

and now u r left with 0.4×60

so after multiplying it comes 24.0

and that is equal to 24. (because after decimal zeros has no value)

3……….

and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.

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3 years ago