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3 years ago

What is the solution 4(x-8) + 10= -10

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

given

4(x - 8) + 10 = - 10 ← subtract 10 from both sides

4(x - 8) = - 20 ← divide both sides by 4

x - 8 = - 5 ← add 8 to both sides

x = 3

Vika [28.1K]3 years ago

7 0

<h2>Answer:</h2>

<u>The answer is </u><u>x = 3</u>

<h2>Step-by-step explanation:</h2>

Let's solve your equation step-by-step.

4(x−8)+10=−10

Simplify both sides of the equation.

4(x−8)+10=−10

(4)(x)+(4)(−8)+10=−10(Distribute)

4x+−32+10=−10

(4x)+(−32+10)=−10(Combine Like Terms)

4x+−22=−10

4x−22=−10

Add 22 to both sides.

4x−22+22=−10+22

4x=12

Divide both sides by 4.

4x/3 = 12/3

x=3

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egoroff_w [7]

Answer:

The diameter is 9.252 :)

Step-by-step explanation:

From the given diameter, get the radius. The perimeter of a semicircle is half the perimeter of a circle, but we excluded the base. So, the perimeter now is:

2πr+2r

Put the value of radius in the formula and get the answer wich is 9.252!

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7 0

3 years ago

Suppose that the manager of a company has estimated the probability of a super-event sometime during the next five years that wi

Ivanshal [37]

Answer:

The probability that all three suppliers will disrupt = 0.0023

Step-by-step explanation:

Below is the formula used to calculate the probability of disruption.

$P(n ) = S + (1 – S) U^{n} \\$

$S = Super \ event \\$

$U = Unique \ event \\$

$L = Loss \\$

$S = 0.23 \ Percent = 0.0023 \\$

$U = 1.4 \ Percent = 0.014 \\$

$n = 3 \\$

$\text{The probability of disrupton}, P(n ) = S + (1 – S) U^{n} \\$

$= 0.0023 + (1 – 0.0023)(0.014)^{3} \\$

$= 0.0023 + 0.9977(0.000002744) \\$

$= 0.0023 + 0.000002 \\$

$= 0.0023 \\$

Therefore, the probability that all three suppliers will disrupt = 0.0023

7 0

3 years ago

Scientists are studying the DNA of five groups of cats, both wild and domesticated. Each group has a different number of cats, a

sineoko [7]

Answer:

A, 2500 cats

Step-by-step explanation

If the largest group has 502 cats, and the numbers are in sequence then the second group will be 502 -1 = 501 .

the third group will be 501- 1=

500

The fourth group will be 500 -1= 499

And the last group will be 499- 1= 498

There fore the total number of cats in the study is

502 + 501 + 500 + 499 + 498 = 2500

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4 years ago

A scatter plot is shown below: A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on th

Mrrafil [7]

Answer:

B (0, 14) and (10, 1)

Step-by-step explanation:

Option A: (0, 14) and (10, 14)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,14)$

Substitute values in formula :

$y-14=\frac{14-14}{`10-0}(x-0)$

$y-14=0(x-0)$

$y=14$

Option B : (0, 14) and (10, 1)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,14)$

$(x_2,y_2)=(10,1)$

Substitute values in formula :

$y-14=\frac{1-14}{`10-0}(x-0)$

$y-14=\frac{-13}{10}(x-0)$

$y=\frac{-13}{10}x+14$

Option C: (0, 7) and (7, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(7,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`7-0}(x-0)$

$y-7=\frac{-7}{7}(x)$

$y= -x+7$

Option D: (0, 7) and (3, 0)

Equation of line using two point slope form .

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$(x_1,y_1)=(0,7)$

$(x_2,y_2)=(3,0)$

Substitute values in formula :

$y-7=\frac{0-7}{`3-0}(x-0)$

$y-7=\frac{-7}{3}(x)$

$y=\frac{-7}{3}(x)+7$

Now after plotting all the lines of given options on the graph of scatter plot we can see that the blue line $y=\frac{-13}{10}x+14$ of Option B the is the line of best fit for this scatter plot Since it is covering almost all ordered pairs of scatter plot.

Hence two ordered pairs can be joined to best draw the line of best fit for this scatter plot are (0, 14) and (10, 1)

Option B is correct.

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taurus [48]

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4 years ago

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