Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Answers

Answer 1

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

Answer 2

Answer:

x = -2   & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2       (x-1) = 0  so x = 1


Related Questions

What value is a discontinuity of x^2+2x+3/x^2-x-12

Answers

Answer:x=0

Step-by-step explanation: maybe.....

Mr. Morgan purchases gas for $3.24 per gallon. After leaving the gas station
he travels 208 miles on 8 gallons of gas. If the car uses gas at a constant rate,
which best describes the number of miles traveled per gallon of gas?

Answers

Free coinssss!!!!!!

Answer:

I think the answer is...

26

Step-by-step explanation:

thank you for my free coins

Find the answer in simplest form.
3 1/8 * 1 4/5=

Answers

Answer:

31/8*14/5=10*17/20

Step-by-step explanation:

Answer:

225/40 which can simplify to 5 and 5/8

Step-by-step explanation: 3 and 1/8 turns into 25/8, 1 and 4/5 turns into 9/5. Multiply numerator by numerator then denominator by denominator to get 225/40, which simplifies out to 5 and 5/8.

For the following ordered pairs is the X value positive or negative?
(-2, 1)
(3, -4)
(-4, 6)
(1, -3)

Answers

(-2, 1) x is negative
(3, -4) x is positive
(-4, 6) x is negative
(1, -3) x is positive
hope this helps!

6th grade math help me plzzz :))

Answers

Answer:

75%

Step-by-step explanation:

So i know that 5$ = 25%

So if i go up 3 times i get 15$ so that means you do 25% x 3 to get 75%

what is 3a + 2b - 6c

Answers

Answer:

Step-by-step explanation:

a = 3

b = 2

c = 12

3a+2b-6c

3(3)+2(2)-6(12)

-59?

3 + x = 18 please help!!!!!!!!!!

Answers

Answer:

X=15

all you have to do is subtract 3 from 18 to get x

Step-by-step explanation:

3 + x = 18

x=18-3

x=15

Hope this helps

Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3

Answers

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

i forgot how to do the log thingy but the guy on top is also correct

Find the value of x
?????

Answers

Answer:

2x+57°+x=180 ( angle sum property of triangle)

3x=123

x=41

I just wanted to let you know I had to go eat a little bit earlier I have a lot to do for you to

Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.

Answers

d, 3 is the coefficient of the variable x


What is the volume of the cuboid?​

Answers

Answer:

180cm

Step-by-step explanation:

4cm*5cm*9cm=

Answer:

180

Step-by-step explanation:

Length=9cm

Height=5cm

Width=4cm

So,

9cm×5cm×4cm

=9cm×20cm

=180cm³

Find the distance between 3,4 and 3,9

Answers

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive

Answers

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

Please help it It is in photo

Answers

Answer:

its the second i hope that helped

x2=120
solve for the exact variable answer

Answers

Answer:

60 ?

Step-by-step explanation:

60×2 = 120. .

when you have a x right behind a number that means multiply

On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?

Answers

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

girls:3
boys:2
If there are 50 students in the chorus, how many are girls and how many are boys? How do you know?

Answers

Answer:

30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.

Answer:

Step-by-step explanation:

30 girls, 20 boys. So easy!!!

What is the distance between the points R(5, 7) and S(-2, 3)?​

Answers

Answer:

Step-by-step explanation:

D

The distance between points is √65.

What is distance?

The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.

The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.

Given coordinates

R(5, 7) and S(-2, 3)

to find the distance between

the formula of distance for coordinates is

d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]

here y₂ = 3, y₁ = 7

x₂ = -2, x₁ = 5

substitute value in equation we get

d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]

d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]

d = √(16 + 49)

d = √65

Hence the distance is √65.

Learn more about distance;

https://brainly.com/question/15172156

#SPJ2

help!!!!!!!! i have no clue

Answers

Answer: Non-proportional

Step-by-step explanation:

The unit rate for the gas per gallon is $3.17. You want to find out if that is equal to the amount you would pay for 10 gallons at once. If you multiply the unit rate by ten, you would get 10 gallons = $31.70

So...you know that it is not proportional

What is the value of x?
45°
m
1(2x - 5)°
n

Answers

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

Pls can someone help me

Answers

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.

-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4

Answers

Answer:

answer would be:

The range of the graph is all real number.

AND

The domain and range of the graph are the same.

Step-by-step explanation:

1
Solve the following:
x 100
+3= 19
x=

Answers

Answer:

x=4/25

or x=1.028114

or x= 128

Step-by-step explanation:

Answer:x= 128

Step-by-step explanation:

Subtract 3 from both sides of the equation /8+3=19

x/8+3=19

/8+3−3=19−3

Simplify

x/​8=16

Multiply all terms by the same value to eliminate fraction denominators

8x x/8=8x16

Simplify

X=128

someone help ASAP!!!! Please it would mean so much if you helped me!

Answers

The answer is Y=x+2 hope that’s right

You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is the bill you will pay if the tax is 8%?

Answers

Combine costs
59.99(3) + 75 = 179.97 + 75
179.97 + 75 = $254.99 (total cost)
Now add tax: 8% = 0.08
254.99 * 0.08 = 20.3992
254.99 + 20.3992 = 275.3892

Solution: bill would be around $275

Solve using the quadratic formula: -16x^2-4x + 382

Answers

Answer:

Step-by-step explanation:

[tex]x=\frac{- b+ \sqrt{b^{2}-4ac} }{2a}[/tex]   [tex]x=\frac{- b- \sqrt{b^{2}-4ac} }{2a}[/tex]        

x=-5, 4.7

Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg​

Answers

Answer:

A) 29.0 mpg

you divide 471 by 16.25

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT

Answers

someone else is answering the graph but the equation is y=-4x+2 -4 = slope 2 = y-intercept

Answer:

(images to help with graph are below)

Step-by-step explanation:

okay! so once you get the hang of this, it is super super easy.

so the y-intercept is a point on that long line going up and down on the graph. it shows where the line intersects the middle!

so here it says that the y-intercept (y-int for short) is 2. so we will simply mark a little point on 2.

now the slope. the slope is -4. this can be written as -4/1. the -4 is on the top so i represents the y values. and the 1 is on the bottom so it represents the x values.

we know that when graphing, x goes from side to side and y goes up and down.

if an x value is positive you move it to the right (forwards), if it is negative you move it to the left (backwards). if a y value is positive you move it upwards, if it is negative you move it downwards. so we want to start graphing with our x.

The x value is 1 (because it is in the bottom of the slope! -4/1!). So we will move one point from the y-int (the point we marked).

Now for the y values. The y value is -4 (again, taken from the -4/1. the top number is the y value). FROM THE PLACE WE LEFT OFF FOR THE X VALUES (we left off at point (1,2) because we moved it one to the right!), we will move 4 points DOWN because it is negative (-4). Mark this place with a dot!

We should now have the points (0,2) and (1,-2) marked with a dot. draw a line through the 2 dots! this is ur finished graph. notice how the line intersects the middle on the y-intercept!! that will always happen.

Lastly, the equation! the formula for slope intercept form is y=mx+b

m is always your slope. b is your y-int. and y and x stay blank (for now. in the future you might use those spots). so simply fill in m and b!

the slope is -4. so m = -4

the y-int is 2. so b = 2

the finished equation should look like this:

y = -4x + 2

I hope this helped !!!

7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?

Answers

The answer is 5/4 I hoped this helped

Jose was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Jose made in the basketball game?

help pls :(

Answers

Answer:

37.5/38(rounded)

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

15 + 25 = 40

15/40 = 37.5%

15

40      x 100% = 37.5%

Sorry if wrong! Plz mark brainiest if correct :D Have a great day Luv!

-Bee

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