1. Explain why the equation has two solutions. Then solve the equation to find the solutions. Show your work.

Answers

Answer 1

Answer:

Some equations have two solutions because a quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.

The answer to the quation is x = -2 or x =10

Step-by-step explanation:

Answer 2

Quadratic equation are equations with a leading degree of two. The solutions to the given quadratic equation is 10 or -2

Solution to quadratic equation

Quadratic equation are equations with a leading degree of two. Given the equation

(x-4)^2-28=8

The equation has two solution because it has a leading degree of 2.

Given

(x-4)^2-28=8

Add 28 to both sides

(x-4)^2-28 + 8=8 + 8

(x-4)^2= 36

Take square root of both sides

√(x-4)^2= ±√36

x - 4 = ±6
x = 6 + 4 or -6 + 4
x = 10 or -2

Hence the solutions to the given quadratic equation is 10 or -2

Learn more on quadratic solution here: https://brainly.com/question/1214333


Related Questions

George is given two circles, Circle O and circle X, as shown. If he wants to prove that the two circles are similar, what would be the correct second step in his proof? Given: The radius of circle O is r, and the radius of circle X is r'. Prove: Circle O is similar to circle X.

Answers

Answer:

answer is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Step-by-step explanation:

on  A P E X

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

What is a Circle?

This refers to a round plane who has a centre as a fixed point that has equal distance from each other.

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Read more about circles here:
https://brainly.com/question/24375372

Which is not equivalent to this expression? 4(3x2+6x)

Answers

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Can someone please help me out with this

Answers

Answer:

the answer is c

Step-by-step explanation:

i think the answer is c

y=3x+17, 4x-3y=-26
Use substitution to solve the system

Answers

Answer:

x=-5, y=2

Step-by-step explanation:

[tex]y=3x+17\\\\4x-3y=-26[/tex]

With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.

[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]

Hope this helps!

The answer is X=-5 and y=2

12x−39≤9 AND−4x+3<−6

Answers

Answer:

2 1/4 < x ≤ 4

Step-by-step explanation:

12x−39≤9 AND−4x+3<−6

Solve them separately and then put back together

12x−39≤9

Add 39 to each side

12x−39+39≤9+39

12x ≤48

Divide by 12

12x/12 ≤48/12

x ≤4

Now the other inequality

−4x+3<−6

Subtract 3 from each side

−4x+3-3<−6-3

-4x < -9

Divide by -4, remembering to flip the inequality

-4x/-4 > -9/-4

x > 2 1/4

put back together

x > 2 1/4 and x ≤4

2 1/4 < x ≤ 4

Answer:

2.25<x≤4

Step-by-step explanation:

12x−39≤9 ⇒ 12x≤ 48 ⇒ x≤4

−4x+3<−6 ⇒ -4x < -9 ⇒ x> 9/4= 2.25

2.25<x≤4

or

x= (2.25, 4]

NEED ANSWER FASSTTT
In a right triangle PQR , angle P is 40 degrees. If we decrease 10% of angle P, what will the percent change in angle R?

Answers

Answer:

here you go!

Step-by-step explanation:

The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3:2.

Match each function with its domain.

Answers

What you meant was range. The range scales from top to bottom. You can know this by graphing and practicing memorizing these function's domain and range.

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0

Answer:

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0

Check all of the points that are solutions to the system of inequalities.
y> 4x + 2
y< 4x + 5
A. (5, 26)
B. (-4, 20)
C. (4,21)
D. (5,24)

Answers

Answer:

A. = False

B. = False  

C. =  True

D. = True

Hope this helps

Sides& Angles of Triangles

Answer the following Questions

What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between angles of a triangle and its sides ?​

Answers

Answer:

the area using heron's formula

the perimeter

given that 7x+50=22 find x​

Answers

The value of X is -4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x = - 4

Step-by-step explanation:

7x + 50 = 22

7x = 22 - 50

7x = - 28

x = - 28 : 7

x = - 4

Lyonell has kept track of his income and expenses for the week in the spreadsheet below. How much did Lyonell spend on



theater tickets?



B



1 Transaction



Amount Total



2 Beginning balance



$430.57



3 Groceries



-$57.19



4 Rebate check



$15.00



5 Gas



-$22.30



6 Theater tickets



7 Paycheck



$377.82



8 Ending balance



$695.15



a $48.75



b. $117.24



C. $252.84



d. $381.82

Answers

Answer:

The correct option is A,$48.75

Step-by-step explanation:

The amount of spend on theater tickets is missing, however it can be computed  by using the below formula:

Closing balance=opening balance-cost of groceries+ rebate check-cost of gas-cost of theater tickets+ paycheck

$695.15=$430.57-$57.19+$15-$22.30-cost of theater tickets+$377.82

cost of theater tickets=$430.57-$57.19+$15-$22.30+$377.82-$695.15

cost of theater tickets=$48.75

Answer:

A on EDGE

Step-by-step explanation:

What is the sum? 2/x^2+4/x^2

Answers

Answer:

\frac{2}{ x^{2} }  +  \frac{4}{ x^{2} } =  \frac{2+4}{ x^{2}}=  \frac{6}{ x^{2} }  

Step-by-step explanation:

When we add two expression in fraction we take Least common multiple of two expression  in the denominator

Here we have expression  

Now, we write a common denominator

rewrite the expression

Now, we combine the numerator 2+4 is equal to 6

So, we will get   = \frac{2}{x^{2}}+ \frac{4}{x^{2}} =\frac{6}{x^{2} }

Hope this helps!

please help due in ten minutes

Answers

Answer:

is there a graph included

Answer:

It's B

Step-by-step explanation:

1,4,13____,121
5,12,33__
whats the pattern rule

Answers

Answer:

Step-by-step explanation:

1,4 ,13 ,  __________, 121

First term = 1

Second term  =  1 +  3        =  4

Third term      =  4 + 3*3     =  4 + 9   = 13

Fourth term =  13 + 3*3*3  = 13 + 27 = 40

2) 5, 12 , 33 ,_____

First term = 5

Second term = 5 + 7     = 12

Third term     = 12 + 7*3 = 12 + 21 = 33  

Fourth term = 33 + 7*3*3 = 33 + 63 = 99

         

A cylinder with a diameter of 8 centimeters and height of 18 centimeters. Recall the formula V = pi r squared h. 288 pi Centimeters cubed 1,152 pi Centimeters cubed 1,296 pi Centimeters cubed 2,592 pi Centimeters cubed

Answers

Answer:[tex]288\pi\ cm^3[/tex]

Step-by-step explanation:

Given

Diameter of cylinder is [tex]d=8\ cm[/tex]

So, radius [tex]r=\frac{d}{2}=4\ cm[/tex]

height of cylinder [tex]h=18\ cm[/tex]

Volume of cylinder is given by

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (4)^2\times 18[/tex]

[tex]V=\pi 16\times 18[/tex]

[tex]V=288\pi\ cm^3[/tex]

So, volume of cylinder is [tex]288\pi\ cm^3[/tex]

Answer:

288π cm cubed

Step-by-step explanation:


Find the distance of AD and round to the nearest tenth, if necessary. A (2,5) D (-5,12)

Answers

Answer:

d = 9.9

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your numbers:

[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2

7√2 ≈ 9.89949

Find the slope of the line

Answers

Answer:

2

Step-by-step explanation:

Line is passing through the points (2,0) & (0, - 4)

[tex]Slope \: of \: line \\ = \frac{0 - ( - 4)}{2 - 0} \\ = \frac{0 + 4}{2} \\ = \frac{4}{2} = 2 \\ [/tex]

2

You can find the two points on the graph where the line meet the points exactly on the corners
And then make a triangle
The use rise over run
Range/ domain y/x
To find it

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Set the numbers in order from least to greatest, then find the one in the middle, which will be the median.

19, 23, 42, 56, 67

42 is in the middle, so it is the median.

The following data points represent the number of hours each of the staff members at Daniel's Department Store slept on Thanksgiving night.

Sort the data from least to greatest.

Find the interquartile range (IQR) of the data set.

Answers

Answer:

3 hours

data from least to Greatest:

2.6, 3 , 4.9 , 5 , 5 , 6 , 6 , 7.9 , 8 , 8.2

Step-by-step explanation:

I got it from Khan Academy

The interquartile range (IQR) of the data set is 3.

The given data set is 5, 8.2, 6, 7.9, 5, 2.6, 3, 4.9, 6 and 8.

We need to find the interquartile range (IQR) of the data set.

How to find the interquartile range (IQR) of the data set?

To find the interquartile range (IQR), ​first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Now, the order of data from least to greatest is 2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2.

Q1=4.9 and Q3=7.9

So, IQR=Q3-Q1

=7.9-4.9=3

Therefore, the interquartile range (IQR) of the data set is 3.

To learn more about the interquartile range visit:

https://brainly.com/question/4135956.

#SPJ2

Avery had $25.38 in her wallet. If she bought lunch with 9 1/2 dollars from her wallet, how much money did she have in her wallet after lunchA.
$16.38
B.
$14.88
C.
$15.88
D.
$16.18

Answers

Answer:

C. $15.88

Step-by-step explanation:

$25.38-$9.50=$15.88

25.38 - 9.50= 15.88. Explanation: 9 1/2. 1/2=.50. 9 1/2 =$9.50

Simon used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 time
Color of Marble Number of Times Rolled
Blue
15
Green
19
Yellow
16
Heads Tails
26 24
Using Simon's simulation, what is the probability of pulling a blue marble and the coin landing
39
50

Answers

Answer:

360/2500

Step-by-step explanation:

the blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

Answer:

360/2500

Step-by-step explanation:

How much would you pay for a boat that
costs $15,000 if you buy it on sale for
15% off (excluding tax)?

Answers

Answer:

$12,750

Step-by-step explanation:

15% of 15,000 is 2,250 and you find this by multiplying the discount and the total. Then you subtract the discount from the original price to know the discounted price.

15,000-2,250=12,750

So you'd pay $12,750 without taxes

Answer:

The cost of the boat after the sale would be 12,750. (excluding tax)

Step-by-step explanation:

F(9) if f(x) = x - 8

Answers

Answer:

f(9)=1

Step-by-step explanation:

This questions asks us to find f(9).

It is asking us to find what f(x), or y is, when x is equal to 9.

f(x)=x-8

Therefore, we can substitute 9 in for every x.

f(9)=9-8

Subtract 8 from 9

f(9)=1

If f(x)=x-8, then f(9)=1

Answer:

f(9)=1

Step-by-step explanation:

f(x)=x-8

plug in 9for x

f(9)=9-8

9-8 =1

What is the median of the data set? 3, 17, 11, 8, 13, 5, 18​

Answers

The median is 11.

Look at the attached picture

Hope it will help you

Good luck on your assignment

A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.

Answers

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,
d
How long would it take for that train to cover 100 miles?

Answers

Answer:

x = 1 2/3 hours

Step-by-step explanation:

We can use ratios to solve

150 miles          100 miles

---------------- = ---------------

2.5 hours          x hours

Using cross products

150x = 2.5*100

divide each side by 150

150x/150 = 250/150

x = 1 2/3 hours


In a randomly generated list of numbers from 0 to 6, what is the chance that
each number will occur?
A. 1/8
B. 1/6
C. 1/7
D. 1/9

Answers

Answer:

1/7

Step-by-step explanation:

there are 7 number possibilities 0,1,2,3,4,5,6.

so if they each have an equal probability the answer is 1/7

In the diagram given below, lines I1 and l2 are parallel and t is a transversal. Find the value of x.
PLS HELP

Answers

----------------------------------------------------------

Hey!!!

Solution,

2x+10+X+5=180 ( sum of co-interior angles)

or, 2x+X+10+5=180

or,3x+15=180

or,3x=180-15

or,3x=165

or, X=165/3

X=55

So the value of X is 55.

Hope it helps...

Good luck on your assignment

STAY SAFE......

--------------------------------------------------------

Answer:

Step-by-step explanation:

2x + 10 + x + 5 = 180  (Sum of co-interior angles}

Add the like terms

3x + 15 = 180   {Subtract 15 form both sides}

3x +15 - 15 = 180 - 15

3x = 165  {Divide both sides by 3}

3x/3 = 165/3

x = 55°

The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can be
used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
100 POINTS

Answers

Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]

Step-by-step explanation: Let me know if you need an explanation.

Answer:

its a and e two options it said

Step-by-step explanation:

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Answers

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = [tex]\frac{1}{2}[/tex]

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) B'(-1, 1)

         C(4, -4) C'(2, -2)

Now we can plot the new image with points A', B' and C'

Following are calculation to the given points:

Given:

[tex]\Delta ABC[/tex] under a dilation whose center is P

scale factor [tex]= \frac{1}{2}[/tex]

To find:

points=?

Solution:

In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].

therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.

Scale factor dilatation rule[tex]= k[/tex]

[tex](x, y) \to (kx, ky)[/tex]

If [tex]k = \frac{1}{2}[/tex]

Then,

[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]

We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.

Learn more:

brainly.com/question/16967942

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