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

i’ll give brainliest if you help me

Answers

Answer:

4

Step-by-step explanation:

Solve the system of equations
2x-5y=3
X-3y=1

Answers

Answer: 2x − 5y = 3

x − 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

Step-by-step explanation:

I need help with this

Answers

Answer:

the second one, third one

Step-by-step explanation:

you can expand using the distributive property

Divide
r2/r12

Answers

a. r10
b. 1/r6
c. 1/r10
d.r8
e. r6

Answers

Answer:1 over r to the power of 10 or C

Step-by-step explanation:

What is the name of this type of graph?

Answers

this depends on the equation.

Find the other endpoint of the line segment with the given endpoint and midpoint.
2) Endpoint: (-6, 4), midpoint: (-4,8)

Answers

Answer:

(-2,12)

Step-by-step explanation:

Answer:

Office Depot

Step-by-step explanation:

Order from least to greatest.

0.387; 0.3; 0.783; 0.837

Answers

0.3, 0.387, 0.783, 0.837
It would be 0.300, 0.387, 0.783 , 0.837

Hope this helps

Have a great day/night

10 (4p - 2k)(3)
In distributive property?

Answers

Answer:

10 ( 12p - 6k)

Step-by-step explanation:

4p x 3 = 12p

2k x 3 = 6k

you cannot subtract 12p and 6k bcuz they do not have the same variables.

Simplify: c5•c3•c3
a) C45
b) 3c11
c) C11
d) None of the above

Answers

Answer: C

Step-by-step explanation:

I assume you mean c to the power 5, c to the power 3, and c to the power 3. Well, c^5xc^3xc^3 is c^11. Here's why. When multiple terms that have exponents in them and have the same base are multiplied, you just have to add the exponents. Here's the logic behind this (I'm using another example). If you have 6^3x6^5, your answer will be 6^8 because this can be rewritten as (6x6x6)x(6x6x6x6x6). This is the same thing as 6^8. So, I hope this made sense and your answer will be c.

The requried, simplified expression of  [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex]. Option C is correct.

When we have a multiplication of powers with the same base, we can apply the rule of exponents that states: when multiplying powers with the same base, we add their exponents.

In this case, the base is 'c', and we have three terms: c^5, c^3, and c^3. To simplify the expression, we add the exponents:

[tex]c^5 * c^3 * c^3 = c^{5+3+3} = c^{11}[/tex]

So, the simplified form of the expression [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex].

In option b) [tex]3c^{11}[/tex], the coefficient of '3' indicates that we have three terms of [tex]c^{11}[/tex], which is not the case in the original expression.

Therefore, the correct answer is c) [tex]c^{11}[/tex], as we simplified the expression to a single term with the base 'c' raised to the power of 11.

Learn more about simplification here:

https://brainly.com/question/23509407

#SPJ2

Find 20% 0f 80.

using double number line

Answers

Answer:

100%     -     80

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

20%      -      x

[tex]100x=80*20\\100x=1600\\x=\frac{1600}{100}\\x=16[/tex]

pleasee helppppoo djdjdjdjjs

Answers

the slope is nothing however the equation is y=-1

Find x.
11
13
13'
21'

Answers

Not enough information? Wouldn't it be 17??


An orange cone has an
exact volume of 1207T ft3.
What is the height of the
cone if the radius is 6 ft?

Answers

Answer:

32.01 ft

Step-by-step explanation:

Step one:

given data

Volume of 1207T ft3.

the radius is 6 ft

Step two:

The volume of a cone is given as

[tex]V=1/3 \pi r^2h[/tex]

substitute

1207= 1/3*3.142*6^2*h

1207= 37.704h

divide both sides by 37.704

1207/37.704= h

h= 32.01 ft

Write a linear function f with the given values.

Answers

Answer:

f is half of what x equals if that helps

Answer:

f(x)=2x is

a linear function f with the given values.

A microscope was originally priced at $100 but went on sale for 10% off. If Adele bought the microscope and paid 10% sales tax, how much did she pay in total?

Answers

Answer:

$99

Step-by-step explanation:

First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99

What is the answer?? Please

Answers

Answer:

tje second option (3,6) and (5,6)

The second option is correct because you are subtracting 2 from both sides of the graphing system.

Express in the form
n:1
.
Give n as a fully simplified fraction.
8:6

Answers

Answer:

4/3 : 1

Step-by-step explanation:

Here, we want to express 8:6 in the form n:1

All we have to do is to divide both ratio sides by 6

That would be;

8/6 : 6/6

= 4/3:1

Please answer all of it. If good explanation will mark as brainliest.

Answers

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

Can somebody please help (There's a screenshot)

Answers

inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

calculate the rise and run to find the slope of the line ​

Answers

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

who has the ps5 i do

Answers

Answer:

im from da fam round herrrr u either got the ps3 or the x box 3-60

lm.ao.

Need help tx sm I appreciate it

Answers

Answer:

x =11

Step-by-step explanation:

Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle

From the diagram

Interior angles = 5x +10 and 58

Interior angle = 11x+2

Equate both expressions

5x + 10 + 58 = 11x+2

5x - 11x  = 2 - 10 - 58

-6x = 2-68

-6x = -66

x = -66/-6

x = 11

Hence the value of x is 11

Help I will mark brainliestttt

Answers

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Write the equation of the line with the given slope and y intercept
m = -5 b = -8

Answers

your answer would be y= -5x -8

Answer:

y = -5x -8

Step-by-step explanation:

The equation is y = mx + b so just plug it all in

y = -5x + (-8)

which is

y = -5x -8

What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?

Answers

Answer:

';

lk;j

Step-by-step explanation:

uhh

This year, you got 65% fewer pieces of Halloween candy than you got last year. You got 200 pieces last year. How much did you get this year?



a) In the sketchbox, draw a diagram to represent this situation

b) In the answer box, write a simplified equation to represent this situation. Use "y" to represent the amount of Halloween candy you got this year. Your equation should use decimals.

Answers

Answer:

Step-by-step explanation:

100-65=35

y=35 % of 200=0.35×200=70

A baseball player reaches first base 3 out of 10 times he is at bat. If the baseball player bats 80 times, about how many times will the player reach first base?

Answers

Answer:

I think the answer is 24.

Step-by-step explanation:

I think the answer is 24 because if the baseball player hit the bat and ran the base 3 out of 10 times, then you would multiply 8 x 3 to get 24 out of 80. I don't know if this is the correct answer, this is just what I think it may be.

Which one is greater 10.20 or 10.02?

Answers

Answer:

10.20 is the greater one

Answer:

10.20

Step-by-step explanation:

Becuase that has .18 more than 10.02. Hope this helps

write a expression that represents the height of a tree that begins at 8 feet and increases by 2 feet per year. Let t represent the number of years. How tall will the tree be in 5 years?​

Answers

Answer:

8 + 2t

In five years, 18 feet

Answer:

8 + 2(t)

Step-by-step explanation:

8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so

ex.

2 years pass

8 + 2(2) = 8 + 4 = 12ft

2ft per year, 2 years = 4

5/8 - 1/16= what’s the answer to this please help

Answers

Answer:

9/16

Step-by-step explanation:

(5/8 * 2/2) - (1/16 - 1/1)

10/16 - 1/16

10-1//16 = 9/16

5/8 - 1/16 = 9/16

(5*16) - (1*8) / 8 * 16

80-8/ 128

72/128

72/8

128/8= 9/16

5/8 - 1/16 = 9/16

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