Factor completely
[tex]3x²+20x-7[/tex]
Please show all workings

Answers

Answer 1

Answer:

(x + 7)(3x - 1)

Step-by-step explanation:

See the steps below:

3x² + 20x - 7 = 3x² + 21x - x - 7 = 3x(x + 7) - (x + 7) = (x + 7)(3x - 1)
Answer 2
Explanation:-

First Method: (By splitting the middle term)

We have to find p and q such that p+q = 20 and

pq = 3×(-7) = -21

Let us looks for the pair of factors of -21 such that their sum is 20 and product is -21.

20 = 21 - 1 and -21 = 3(-7)

∴ 3x² + 20x - 7 = 3x² + 21x - 1x - 7

= 3x(x + 7) -1(x + 7)

= (x + 7)(3x - 1)

Second method: (Using the factor theorem)


Related Questions

what is 7019 - 1135 plezzzzzz

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Answer:

The answer to 7019 - 1135 is 5884

find the measure of angle b

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Answer:

answer ix c becauze the opposite angle is 48

Find the next 3 terms of the sequence below:

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The next 3 terms are 17, 21, 25

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Answer:

(y²)³ = y⁶

Step-by-step explanation:

The power of a power rule is generally shows expressions where a power is being raised by another power. In such expressions, the exponents are multiplied together and the base is kept the same, like:

[tex] \qquad \qquad\boxed{ \sf{ { {(x}^{m}) }^{n} = {x}^{mn} }}[/tex]

In order to write the expression (y²)³ in the form of yⁿ, you may use this rule (power of a power rule) to obtain the answer.

[tex]\qquad \quad \sf{ { {(y}^{2}) }^{3} = {y}^{2(3)} = \pmb {\red{ {y}^{6}}}}[/tex]

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

Somebody help me please

Answers

Answer:

A goes with the sum of a number and 3

B goes with the product of 4 and a number

C goes with 2 less than a number

D goes with the quotient of 5 divided by a number

Step-by-step explanation:

I’d appreciate it please helpppp

Answers

Answer:

The answer is B. a proportional graph is a straight line that always goes through the origin 0, 0

pls help with full thing

Answers

for the first one, the fraction version for 0.25 is 1/4 and the percentage is 25%

Which of the following lists of side lengths represents a right triangle?

A. 7, 24, 25

B. 3, 6, 9

C. 5, 12, 14

D. 15, 16, 17

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The side lengths of Triangle representing a right angled Triangle is :

[tex]7,24,25[/tex]

because , Pythagoras theorem is true for given Side lengths,

that is :

[tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]

Answer:

7,24,25

Step-by-step explanation:

Use Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]

[tex]\\ \sf\longmapsto 625=576+49[/tex]

[tex]\\ \sf\longmapsto 625=625[/tex]

[tex]\\ \sf\longmapsto verified[/tex]

1.24 • 10 - 6 scientific notation

Answers

Answer: 0.00000124

Step-by-step explanation:

Answer:

the awnser is - 5.876

Step-by-step explanation:

i just did the test

Select the circumstance when the expression (a <= b and a >= b) is true. a = −1, b = −2 a = 1, b = 1 a = 1, b = 2 a = 2, b = 1

Answers

Answer:

b = 1 a = 1

or

b = 2 a = 2

Step-by-step explanation:

Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain

10.5 x 10.5 = 110.25
110.25 ÷ 1.5 = 73.5

Answers

Answer:Yes

Step-by-step explanation:

The solution provided is complete and includes all the steps needed to solve the problem.

The first step is to calculate the area of the square patio by multiplying the length of one side by itself:

10.5 x 10.5 = 110.25.

The second step is to divide the area of the patio by the area of each individual stone to determine the number of stones needed:

110.25 ÷ 1.5 = 73.5.

Since it is not possible to have a fraction of a stone, the answer should be rounded up to the nearest whole number, which is 74.

Therefore, there are 74 stones on the patio.

To learn more about the square;

https://brainly.com/question/28776767

#SPJ3

Find the approximate circumference of a circle with a diameter of 10 cm.

Answers

About 31.42 cm because you multiply it by pi

Answer: C = 31.42cm

Step-by-step explanation:

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

23: B, 155.00

D=7 so 5(7)+120 is 155


25: D (2,6)

(X,y) if you plug in the 2 and 6 the equations make sense

26: A (4,1)

Same as 25

27; b, 2x+y=2 and 4x - y=3

The x value and y value have the same value in both equations

Answer:

x + y =5 .......eqn (1)

x - y =3 .......eqn(2)

using substitution method

x + y = 5

-

x - y = 3

0 + 2y=2

y = 2/2

y = 1

substitute y in egn(1)

x + 1 = 5

x = 5-1

x = 4

then (x, y) = (4,1)

solve for u

-4+ u =-2

u=?

Answers

Answer:

u = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex]-4 + u = -2[/tex] [tex]u - 4 = -2[/tex]

Step 2: Add 4 to both sides.

[tex]u - 4 + 4 = -2 + 4[/tex] [tex]u = 2[/tex]

Therefore, u = 2.

Evaluate a2b2c2 for a = 2, b = 3, and c = 4.

Answers

2 • 2 • 3 • 2 • 4 • 2
multiply those and u get 192!!

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]

30% of the swimming team are girls. If there are 18 girls. How many are in the team
altogether?

Answers

Answer:

60 people are in the team altogether

Answer:

60

Step-by-step explanation:

to find the percentage of girls on the swim team, you would multiply a number by 30 percent. to find the number in all, you would divide 18 by 30 percent

18/0.3 = 60

there are sixty people on the swimming team

How can I sign up for one on one tutoring and what is the cost

Answers

when you click on the tutoring tab it will show you all the details

Could anyone check me on this? Please correct me if I’m wrong,thank u :D

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You are right the answer is A

3k+7k-2=6k+16 answer?

Answers

3k+7k-2=6k+16
10k-2=6k+16
10k-6k=16+2
4k=18
k=18/4
k=9/2

Answer: is 4.5

Step-by-step explanation:

3k+7k-2=6k+16

3k+7k = 10k

10k-2=6k+16

-6k     -6k

4k-2=16

   +2  +2

4k= 18

= therefore the answer is 4.5

If r = 2,440, then what is 29.3r?

Answers

Answer:

29.3r

29.3x2440

=71,492

6 square root x 6 square root x 6 square root

Answers

Answer:216

Step-by-step explanation:

8x + y = 20
x - 2y = -6

Answers

Answer: the answer is

Step-by-step explanation:

I believe that it’s c, but I’m
not certain… Can someone help me out?

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Answer:

Yes, the answer is C {3,5,7}

Domain of a function is the input value and range is the result or output value that we get.

Math help brainlyest

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Answer:

Yes

Whats the question?

Answer:

Sorry I don't see the picture

Step-by-step explanation:

Solve for x not y please I am stuck

Answers

Answer:

x=2, x=1

Step-by-step explanation:

let's solve :

[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]

let's take

[tex]2 {}^{2x} = y[/tex]

now,

[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex]

[tex]y {}^{2} - 20y + 64 = 0[/tex]

[tex]y {}^{2} - 16y - 4y + 64 = 0[/tex]

[tex]y(y - 16) - 4( - 16) = 0[/tex]

[tex](y - 16) (y - 4) = 0[/tex]

[tex]y = 16 \: \: or \: \: y = 4[/tex]

if y = 16, then :

[tex]2 {}^{2x} = 16[/tex]

[tex] {2}^{2x} = 2 {}^{4} [/tex]

[tex]2x = 4[/tex]

[tex]x = 2[/tex]

and if y = 4 :

[tex] {2}^{2x} = 4[/tex]

[tex] {2}^{2x} = {2}^{2} [/tex]

[tex]2x = 2[/tex]

[tex]x = 1[/tex

hence, value of x = 1 or x = 2

A) -8
B) 0
C) 1 o/ 2 1 over 2
D) 8

Answers

Your answer is C If not A have a good day

Answer:

no come but download gauth math and it will scan the problem and give u the answer

For brainily please help :/

Answers

Answer: no

Step-by-step explanation: triangle inequality theory.

2.8+3.5 is not larger than 6.9 so this cannot be the sides of a triangle.

100%
Use the information to answer the question.
Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.
If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'? Enter the answer in the box.
inches

Answers

Answer:

24 inches

Step-by-step explanation:

It is the same because the rotation doesn't change the size of the triangle

The perimeter of triangle D'E'F' is 24 inches.

We have given,

Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.

What is the meaning of rotation?

If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'

It is the same because the rotation doesn't change the size of the triangle.

To learn more about the rotation visit:

https://brainly.com/question/26249005

PLS HELP WILL MARK AS BRAINLIEST

Answers

Answer:

26. the y intercept is -6

27. the y intercept is 2

28. the y intercept is -3

29. I cant answer because it is cut off in the picture...

Step-by-step explanation:

These equations follow a simple formula- the slope formula

y=mx+b

In this formula:

b is the y intercept

m is the slope that is multiplied by x

hope this helps:)

please crown me brainliest!!!

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