Which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

<em>Original Equation :</em>
$\sqrt{x} - 5 = x - 11$

<em>New Equation {Added 5 to Both Sides} :</em>
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

<em>Old Equation :</em>
$\sqrt{x} =x-6$

<em>New Equation {Changed by Squaring Both Sides} :</em>
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

<em>So, this means that in the equation $\sqrt{x} -5=x-11$ ,</em> x = 9 <em>and </em>x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

How many jelly beans are in a 2-liter jar? HELP ME PLEASE

Galina-37 [17]

1. The number of sample size 1 jelly beans in a 2-liter jar is <u>645</u>.

2. The number of sample size 2 jelly beans in a 2-liter jar is <u>640</u>.

3. The number of sample size 3 jelly beans in a 2-liter jar is <u>637</u>.

<h3>What is a mathematical operation?</h3>

A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.

Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).

<h3>Data and Calculations:</h3>

Total weight = 1,150g

Weight of the jar = 440g

The total weight of the jelly beans = 710g (1,150 - 440)

Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)

Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)

Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)

Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.

Learn more about mathematical operations at brainly.com/question/20628271

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3 0

2 years ago

Mr. & Mrs. Thompson drove 300 miles in October. They drove 2 times as many miles in December as they did in October. They dr

Marina86 [1]

Answer:1200 miles

Step-by-step explanation:

Given

Mr. and Mrs. Thompson drove $300\ miles$ in October

They drove 2 times as many miles in December

so they drove $2\times 300=600\ miles$ in December

In November they drove 2 times as many as in december

$=2\times 600=1200\ miles$

So they drive 1200 miles in November

7 0

3 years ago

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.

hodyreva [135]

The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

<h3>Trigonometric function that models the data</h3>

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

y = 1.87sin(-0.29 x 1 + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

y = 1.87sin(-0.29 x 2 + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

y = 1.87sin(-0.29 x 4 + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

y = 1.87sin(-0.29 x 7 + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

y = 1.87sin(-0.29 x 9 + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

y = 1.87sin(-0.29 x 10 + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

y = 1.87sin(-0.29 x 13 + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

y = 1.87sin(-0.29 x 17 + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

y = 1.87sin(-0.29 x 20 + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

Learn more about trigonometry functions here: brainly.com/question/1143565

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8 0

2 years ago

Which expression is equivalent to?

balandron [24]

The answer is number 2

8 0

3 years ago