Mathematics High School

NEED ASAP IT WAS DUE LAST WEEK
1.Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work.

Answers

Answer 1
(x-4)^2-28=8
Sorry if it’s hard to see
NEED ASAP IT WAS DUE LAST WEEK1.Explain Why The Equation (x-4)^2-28=8 Has Two Solutions. Then Solve The

Related Questions

which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4

Answers

Answer:

-4<-1 and -1<4

Step-by-step explanation:

A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank

Answers

Answer:

The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.

Step-by-step explanation:

16 - 2.5 = 13.5  ( The amount of gas the car has already used )

30 * 13.5 = 405  ( How far the car traveled with 13.5 gallons of gas )

Hope this helps!

Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help

Answers

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

Find the average rate of change of the function from X1 to X2.

Function

f(x) = -7x + 16

x-Values

X1 = 0, X2 = 3

Answers

Answer:

75-82,            in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3

If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???

Answers

Answer:

y=3x-4

Step-by-step explanation:

A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =​

Answers

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?

Justify your answer.






Answers

Answer:

No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)

Step-by-step explanation:

Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.

you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?

Answers

Answer:

im not sure on how to answer that

Step-by-step explanation:

will mark as brainliest if correct, 20 points

Answers

Answer:

D. [tex]4\frac{1}{16}[/tex]

Step-by-step explanation:

Substitute the given value into the function and solve.

D 4/16 is the answer pls give brainliest

Type the correct answer in the box.


Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.


(x',y')=______

Answers

Answer:

The answer is = (x',y')=(-x,-y)

Step-by-step explanation:

= (x',y')=(-x,-y)

What is 180 clockwise?

Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.

Rule of 180° Rotation

If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).

Please check the attached file for a detailed answer.

Learn more about the origin to create rectangles at

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HELP

Which expression should appear on Line 3?

800 + 24 + 12

800 +240 + 12


800 + 600 + 12

80 +240 + 12

Answers

Answer:    800  +   240  + 12  

Step-by-step explanation:

Line 3 = (200 × 4) + (60 × 4) + (3 × 4)      [multiply the terms in the brackets]

          =  800  +   240  + 12  

Answer:

Refer to the attachment

65% of 51. Please also show me how to do it because I can't.

Answers

Answer:

Step-by-step explanation:

65% of 51 = [tex]\dfrac{65}{100}*51[/tex]

                = 0.65 *51

                = 33.15

Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?

Answers

24 minutes because if you find the unit rate of how long one truck takes it’s around 2 minutes then multiply it by 9 you have your answer

Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase

Answers

Answer:

39.95+(how many shirts times 19.95)

Step-by-step explanation:

Help me I don't understand

Answers

Answer:

For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8

Equivalent (-1)+10+9 please

Answers

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

18

Help! evaluate this number

Answers

Answer:

-12×3 = -36.............

express ratio as a fraction in simplest form

a. 10 yards to 10 feet

hint *there are 3 feet in every 1 yard​

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

If (a + b)^2 = a^2 +n + b^2 , what is n?​

Answers

Answer:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]

if (a+b)^2=a^2+n+b^2, n= 2ab

Solve using order of operations: 72/8+6/3-4(10)

Answers

Answer:

the answer is -29

Step-by-step explanation:

ive answered a and b but struggling to answer c. how do you work it out?

Answers

Answer:

-2, 1.5

Step-by-step explanation:

(y1 + y2)/2 = y midpoint formula

so, (-1 + 4) = 3

3 / 2 = 1.5

y = 1.5

Step-by-step explanation:

To find the midpoint:

Use the formula;

d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4

Substitute the values into the equation above. This gives;

d = (-2 + -2)/2, (4 + -1)/2

= (-4/2), (3/2)

=(-2, 1.5) <<<<<<< ✓ Ans

I hope this helps. Thank you

I need help very bad

Answers

Answer:

3

Step-by-step explanation:

[tex]y - 3 = n(x - 5)[/tex]

[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]

[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]

Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?

Answers

Answer:

he is correct bc the pattern correct

Step-by-step explanation:

In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?

Answers

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

if sin x equal to a/b
what is sin(90-x)​

Answers

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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For brainily please help

Answers

Answer:

FH is the smallest side.

Step-by-step explanation:

This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.

That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.

You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.

So, FH is the smallest.

The shortest side is opposite to the smallest angle.
So FH is the correct answer.

The tape diagram represents an equation.

Answers

Answer:

y² = 7

Step-by-step explanation:

Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).

Answers

Answer:

1/3

Step-by-step explanation:

gradient or slope = m

m = change in y ÷ change in x

= (-4 - -2) ÷ (-3 - 3)

= (-4 + 2) ÷ (-3 - 3)

= -2 ÷ -6

= 1/3

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