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2 years ago

What is (are) the solution(s) to the equation 2(x−4)2=50

Mathematics

1 answer:

sergejj [24]2 years ago

5 0

Answer:

x = 9 and x = -1

Step-by-step explanation:

This equation should be written all on one line:

2(x - 4)^2 = 50

using " ^ " to denote exponentiation.

Dividing both sides by 2 yields

(x - 4)^2 = 25

We must solve for x - 4, and then for x alone:

Taking the square root of both sides, we get:

x - 4 = ±5

which yields two separate solutions: x = 9 and x = -1

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-4x-6=-5y+9

wlad13 [49]

4x-5y=-15
That’s the answer your welcome

3 0

2 years ago

What is the sum of series is numbers 64&66 ?<br> Using the summation notation

iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

$6(2)^{1-1}=6$

$6(2)^{2-1}=12$

$6(2)^{3-1}=24$

$6(2)^{4-1}=48$

$6(2)^{5-1}=96$

$6(2)^{6-1}=192$

$6(2)^{7-1}=384$

$6(2)^{8-1}=768$

$6(2)^{9-1}=1536$

$6(2)^{10-1}=3072$

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

$12(-\frac{1}{2})^{0}=12$

$12(-\frac{1}{2})^{1}=-6$

$12(-\frac{1}{2})^{2}=3$

$12(-\frac{1}{2})^{3}=-1.5$

$12(-\frac{1}{2})^{4}=0.75$

$12(-\frac{1}{2})^{5}=-0.375$

$12(-\frac{1}{2})^{6}=0.1875$

$12(-\frac{1}{2})^{7}=-0.0078125$

$12(-\frac{1}{2})^{8}=0.046875$

$12(-\frac{1}{2})^{9}=-0.0234375$

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

4 0

2 years ago

The amount of money,y, in cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-inte

victus00 [196]

Amount of money received when x tickets are sold=$Y

Number of tickets sold=X

Slope of line= $\frac{1}{4}$

And , y- intercept = 8

Equation of line having slope m and y-intercept c is given by,

y = m x + c,

Expressing the above statement in terms of linear equation in two variable i.e a line is

Y = $\frac{1}{4}$ X + 8

5 0

3 years ago

Convert Fraction to Percent<br> 5/8

jeka94

Answer:

62.5

All you do is divide 5 by 8 and you get this .625 move the decimal over two spots to the right and you get 62.5%

8 0

2 years ago

Write the following percentages as a fraction in simplest form

alisha [4.7K]

Answer: 241/4%
hope this helped

4 0

2 years ago