1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)

Answers

Answer 1

Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.

Answer 2

For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.

When we subtract 28 from 16, we get -12.

But if we add 28 to -12, we get 16 again.

So we have two values of x that satisfy the equation: x = -4 and x = 4.

b. We can solve the equation by adding 28 to both sides:

(-4)² - 28 + 28 = 8 + 28

Simplifying, we get:

(-4)²= 36

Taking the square root of both sides, we get:

-4 = ±6

So the two solutions are:

x = -4 + 6 = 2

x = -4 - 6 = -10

Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.

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Related Questions

The area of the rectangle is 25xy^2, what is the width and length

Answers

Answer:

25xy=L

y=W

Step-by-step explanation:

The width and length are

25xy=L

y=W

We factor this out and then we get 2 terms which are our factors

Find the surface area of a pyramid

Answers

Answer:

88 inches ^2

Step-by-step explanation:

Well find the side of a triangle first.

4*9=26

26/2=18

There are 4 identical triangles

18*4= 72

Now the bottom square

4*4=16

16+72= 88

88 inches ^2

Find the distance between the pair of points. E(-5, 4) and F(3,4)

Answers

Answer:

8

Step-by-step explanation:

you use distance formula

Find the function h(x) = f(x) - g(x) if f(x)=3^x and g(x) = 3^2x - 3^x

Answers

Step-by-step explanation:

h(x)=f(x)-g(x)h(x)=3^x-3^2x-3^xh(x)=3^x(1-3²-1)h(x)=3^x(-9)h(x)= -27^x

hope it helps.

Adele's Voice:

"Hello, it's me. I was wondering if you could help me with this problem."

Don't send me a link to some website. I do trust it especially if it requires me to download something. Furthermore, Brainly will not accept links to random sites thus deleting the question along with taking away my points. :(

Answers

C! Find P(s)!!!!!!!!!!

Answer:

a) P(2) =3(2)=6

b) P(10)= 3(10)=30

c) P(s)= 3s

Step-by-step explanation:

P=3s/s =3

A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. In the Microsoft Excel Online file below you will find a sample of data on years of experience of the salesperson and annual sales. Conduct a regression analysis to explore the relationship between these two variables and then answer the following questions.
Open spreadsheet
Compute b1 and b0 (to 1 decimal).
b1 =____ fill in the blank
b0 =____ fill in the blank
Complete the estimated regression equation (to 1 decimal).
y= ____ + ____x fill in the blank 5x
According to this model, what is the change in annual sales ($1000s) for every year of experience (to 1 decimal)?
____fill in the blank
Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1.
r2 =____ fill in the blank
What percentage of the variation in annual sales ($1000s) can be explained by the years of experience of the salesperson (to 1 decimal)?
fill in the blank ____ %
A new salesperson joins the team with 8 years of experience. What is the estimated annual sales ($1000s) for the new salesperson (to the nearest whole number)?
$____ fill in the blank
Salesperson Years of Experience Annual Sales ($1000s)
1 2 78
2 4 94
3 4 87
4 4 104
5 5 107
6 9 109
7 9 124
8 10 121
9 10 122
10 14 131

Answers

Answer:

(a) [tex]b_1 =3.4[/tex] and [tex]b_0 = 83.7[/tex]

(b) [tex]y=83.7+3.4 x[/tex]

(c) [tex]r^2 = 0.790[/tex]

(d) [tex]\% Variation = 79.0\%[/tex]

(e) The expected earnings is: $110,900

Step-by-step explanation:

The data for the 10 sales person is as follows:

[tex]\begin{array}{ccc}{Years\ of Experience} & {Annual\ Sales(\$ 1000)} & {Salesperson} & {1} & {1} & {85} & {2} & {3} & {97} & {3} & {3} & {95}& {4} & {5} & {97}& {5} & {7} & {105}& {6} & {8} & {106}& {7} & {10} & {122} & {8} & {10} & {120} & {9} & {12} & {113} & {10} & {12} & {134}\ \end{array}[/tex]

Required

Perform a regression analysis using Microsoft Excel

Note

I added two attachments to this solutionIn the first attachment, I highlighted the step to follow to perform regression analysis. At step 4, ensure that you fill in the input y range and the input x range. The input y range (in this question) is the column for sales person while the input x range is the annual sales Click ok, then Microsoft Excel will perform the analysis for you.

The question will be answered based on the result of the analysis performed by the application (See attachment 2)

See attachment 2 for the result of the analysis (I've highlighted the solution to each question on the attached file)

(a) b1 and b0

[tex]b_1 = 3.372767857[/tex]

[tex]b_1 \approx 3.4[/tex]

[tex]b_0 = 83.65625[/tex]

[tex]b_0 \approx 83.7[/tex]

(b) The estimated regression equation

The equation is of the form:

[tex]y =b_0 + b_1x[/tex]

Where:

[tex]b_1 =3.4[/tex]

[tex]b_0 =83.7[/tex]

So:

[tex]y=83.7+3.4 x[/tex]

(c) The coefficient of determination (r^2)

[tex]r^2 = 0.790361699[/tex]

[tex]r^2 \approx 0.790[/tex]

(d) Percentage of variation

To do this, we simply convert r^2 to percentage

[tex]\% Variation = r^2 * 100\%[/tex]

[tex]\% Variation = 0.790 * 100\%[/tex]

[tex]\% Variation = 79.0\%[/tex]

(e) Expected annual sales of a sales person with 8 years of experience.

Using the regression equation

[tex]y=83.7+3.4 x[/tex]

Where

[tex]x = 8[/tex] --- the years of experience.

So;

[tex]y = 83.7 + 3.4 * 8[/tex]

[tex]y = 83.7 + 27.2[/tex]

[tex]y = 110.9[/tex]

The expected earnings is: $110,900

Which is an equivalent way to express 3y

Answers

Answer:

3 f(x)

Step-by-step explanation:

this is very open-ended, (6y)/2 is equal to 3y

Fifty students were surveyed and asked if they played sports and if they had a job. The table summarizes their responses.

Of the students who play sports, what percent do not have a job?

Answers

Answer: 10%

Step-by-step explanation: The percentage of 50-5 is 10%


Rewrite in simplest terms: 0.1d – 0.5(8d – 10)

Answers

Answer:

...

Step-by-step explanation:

0.1d - 4d -5

Answer:

-3.9d-5

I believe this is the answer! Hope this helps!

I need the answer I just need DONT scam with a link

Answers

Answer:

==> C. , = 12x + 16x and 4(3x + 4x)

hope it helps

Which of the following numbers is 90 divisible by? 2,3,4,6,9,10

Answers

Answer:

2,3,5,6,9,10

Step-by-step explanation:

Estimate the sum of 8.43 + 8.12 + 7.98.

Answers

Answer:

we estimate it and get

the answer is 25.53

Find the volume for the regular pyramid.



V =

Answers

Answer:

What do you mean by that?

Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above​

Answers

Answer:

B. 5x+6y+5z+2

Step-by-step explanation:

3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2

B

What is 12÷2/5? Ty to everyone helping

Answers

Answer:

1.2 is the answer.

Step-by-step explanation:

12/2=6

6/5=1.3

Have a nice day!

2 3/4 + 12 6/8 = answer

Answers

Answer:

15 1/2

Step-by-step explanation:

Answer:

15 1/2

Step-by-step explanation:

Use technology or a z-score table to answer the question.

The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.

Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?


23.3%

31.2%

45.5%

76.73%

Answers

Answer:

46% is the percent of the bags of baby carrots that have between 90 and 100 carrots

Step-by-step explanation:

The baby carrot is normally distributed.  

z = (x - µ)/σ

x is equal to number of baby carrots  

µ = mean

σ = standard deviation

Substituting the given values, we get -

90 ≤ x ≤ 100

z = (90 - 94)/8.2 = - 0.49

 For z value of -0.49, the probability is 0.31

For x = 100

z = (100 - 94)/8.2 = 0.73

For z value of 0.73, the probability is 0.77

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots having carrots between 90 and 100 carrots is  0.46 × 100 = 46%

GIVING OUT BRAINLIEST ANSWER HELPPP ME QUICKKK PLSSS

Answers

Answer:

Number 2. Any circle can be mapped onto another circle by dilation then translation is FALSE

Step-by-step explanation:

Jesse makes a large wooden picture frame in the shape of a rectangle with a diagonal brace on the back, as shown in the diagram.

What is the length, in feet, of the diagonal brace that Jesse uses?

Answer Choices:

F. 5ft

G.15ft

H.60ft

J.7ft

Answers

The answer is H.60ft

Answer:5 ft

Step-by-step explanation: ( 36 x 36 ) + ( 48 x 48 ) = 3600 inches

Square root of 3600 is 60

Convert inches to feet: 60 / 12 = 5

Do -16 and 16 have the same value

Answers

Answer:

No they do not

Step-by-step explanation:

16 is positive -16 is negative they have different values. Hope this helps!

no -16 and 16 does not have the same value

Write the equation of the circle with the given information.
Center: (-8, 0)
Diameter: 5

Answers

Answer:

(x + 8)² + y² = 6.25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 8, 0 ) and r = 5 ÷ 2 = 2.5 , then

(x - (- 8))² + (y - 0)² = 2.5² , that is

(x + 8)² + y² = 6.25

Which statement defines Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the price of tomatoes?the term markup?

Answers

Answer:

The price would go down as people would be more willing to buy cheaper potatoes and the producers would want to sell them for a lower price to get rid of them easy and fast.

Step-by-step explanation:

Hope this helps you :)

To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.

A 3-column table with 10 rows. Column 1 is labeled student with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Before with entries 800, 870, 860, 820, 1140, 1050, 850, 910, 830, 1140. Column 3 is labeled after with entries 1100, 1010, 1000, 980, 1410, 1270, 1020, 1010, 1060, 1340.

A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. Based on the confidence interval, is it reasonable to claim that the SAT prep course is beneficial?

No, 0 is not contained in the confidence interval.
Yes, 0 is not contained in the confidence interval.
No, the confidence interval only contains positive values.
Yes, the confidence interval only contains positive values.

Answers

Answer:

,, yes the confidence interval only contains positive values

Answer:

Yes, the confidence interval only contains positive values.

Step-by-step explanation:

A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points.

Based on the confidence interval if we go though the table we will find that each student show increase in confidence level .

As, At least the confidence level improved because it contains positive values only if we subtract previous value with the new values.

Therefore ,Yes, the confidence interval only contains positive values.

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Rewrite 4a + 7a using the Distributive Property.

I'm confused, and I'm very very bad at algebra
The limited answers are

a(4 + 7)
a + a + a + a + a + a + a + a + a + a + a
4(a + a)
28a

PLEASE HELP

Answers

Answer:

a(4+7)

Step-by-step explanation:

this answer shows how the a will be distributed to the 4 and 7 when you use the distributive property to solve.

Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive

Answers

It would be distributive since you distributed the 5 to x and -2.

5*x = 5x and 5*-2 = -10

Which is the most appropriate unit to measure the weight of salad ? A. Tons B. Ounces C. Teaspoons D. Pounds

Answers

Answer:

Ounces :)

Step-by-step explanation:

Undo the half of what was left amount. Multiply 2

Undo the spent $5 add $5

Undo the spent $8 Add $8

Answers

Answer:

the three numbers below are your answers. (in order)

Step-by-step explanation:

[tex]2*2=4\\4+5=9\\9+8=17[/tex]

pattern x starts with the number 0 and follows the rule "add 2". pattern y starts with the number 30 and follows the rule "subtract 5". place a check mark in the box next to each ordered pair that that could be formed by the corresponding terms in the patterns
A. [2, 5]
B. [4, 20]
C. [10, 5]
D. [12, 0]
E. [15, 22]
F. [6, 15]

Answers

F is the best answer choice for you

16-x=-2

Please I need help Solve for X

Answers

Answer:

x=18

Step-by-step explanation:

Answer:

first group like terms

16+2=x

18=x

x=18

Solve the equation 40 = -10(y+0.3). what does the y equal​

Answers

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3) {Step 1: Use the distributive property to multiply -10 by y + 0.3}

40 = -10y + -10(0.3)

40 = -10y - 3 {Step 2: Add 3 to both sides.}

40 + 3 = -10y

43 = -10y {Step 3: Divide both sides by -10}

43/-10 = y

-4.3 = y

y equals -4.3.

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3)

40 = -10y - 3

-3. -3

43 = -10y

Divide 43 by -10

y equal 4.3

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