Which expression is a factor of 21 x2 + 13 x-20

Answers

Answer 1

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

I think this is the answer

Answer 2

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   -21 • 20 = -420

Step-2 : Find two factors of  -420  whose sum equals the coefficient of the middle term, which is   13 .

     -420    +    1    =    -419

     -210    +    2    =    -208

     -140    +    3    =    -137

     -105    +    4    =    -101

     -84    +    5    =    -79

     -70    +    6    =    -64

     -60    +    7    =    -53

     -42    +    10    =    -32

     -35    +    12    =    -23

     -30    +    14    =    -16

     -28    +    15    =    -13

     -21    +    20    =    -1

     -20    +    21    =    1

     -15    +    28    =    13    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  28

                    -21x2 - 15x + 28x + 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   -3x • (7x+5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (7x+5)

Step-5 : Add up the four terms of step 4 :

                   (-3x+4)  •  (7x+5)


Related Questions

ANSWER WHAT YOU CAN NEED THEM ASAP PLZ

Answers

Answer:

5. 23

6. 26

7. 20

8. 45

9. 15

10. 120

11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60

12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.

Find the interior angles of the triangle.
Which kind of angle pair is angle A and the angle
marked 70°?
alternate exterior angles
of each angle?
alternate interior angles
alternate exterior angles
vertical angles
corresponding angles

Answers

Answer:

125 is answer

Step-by-step explanation:

angle sum property

180-70

110/2

55

add the 70+55

125

Answer:

125

Step-by-step explanation:

what is the answer to the question?​

Answers

Answer:

17

Step-by-step explanation:

We have two congruent triangles here.  Thus, b must be 17.

Answer:

17

Step-by-step explanation:

sides r congruent

What is the y-intercept of 2y=-3x+18

Answers

Answer:

18

Step-by-step explanation:

y  = mx + b

m = slope

b = y-intercept

The Y-intercept is Y=9 or (0,9 )

2y = -3x + 18

The -3x crosses

2y = 18
———— Y=9
2 2

I hope that helps.

What is 360 divided by 12 explain your answer ​

Answers

Answer:

360 divided by 12 is 30 because 12 times 30 is 360

Step-by-step explanation:

Answer:

the answer most likely might be =30

Step-by-step explanation:

360÷12=30

Passe os numeros a seguir para notação cientifica.
a- 105 000
b- 0,0009
c- 149 600 000
d- 6 400 000
e- 348 000 000

Answers

Answer:

ingles Hablas ingles?

please help i need this done by today

Answers

Answer:

B

Step-by-step explanation:

A restaurant customer left ​$ as a tip. The tax was and the tip was ​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

find x.
find the measurement of angle b
find the measurment of angle c

Answers

Answer:

x = 3

Measurement of angle b: 70 degrees

Measurement of angle c: 70 degrees

Step-by-step explanation:

120° = (15x + 5) + (22x + 4)         (ext. ∠ of △)

120° = 15x + 22x + 5 + 4

(120 - 9)° = 37x

x = (111/37)

x = 3

Measurement of angle b: 22x = 4 = 22(3) + 4 = 66 + 4 = 70 degrees

Measurement of angle c: 15x + 5 = 15(3) + 5 = 45 + 5 = 50 degrees

Hope this helped!

Answer:

x = 3, ∠ B = 70°, ∠ C = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ADC is an exterior angle of the triangle , then

15x + 5 + 22x + 4 = 120 , that is

37x + 9 = 120 ( subtract 9 from both sides )

37x = 111 ( divide both sides by 37 )

x = 3

Thus

∠ B = 22x + 4 = 22(3) + 4 = 66 + 4 = 70°

∠ C = 15x + 5 = 15(3) + 5 = 45 + 5 = 50°

Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?

Answers

the answer would be $65

Answer:65

Step-by-step explanation:

13x5=65

Given the following function, determine f(6).
Type your answer in the space provided
f(x)
2X-7

Please help I’m dumb

Answers

I’m pretty sure that its 5

marissa dance studio charge a monthly fee

Answers

Answer:

Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20

Answer:

This question is incomplete so I can not answer this

Step-by-step explanation:

Because the question is incomplete

Write the following in point-slope form.

Answers

Answer:

[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]

Step-by-step explanation:

An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.  

[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]

Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].

Hope this helped!

Please help easy ten points.

Answers

Answer:

Yes

Step-by-step explanation:

i believe they are all yes.

Solve: 1/2x - 7 = 1/3 (x-12)

Answers

x = 18

Have a merry Christmas!

Answer:

x=18

Step-by-step explanation:

1/2x-7=1/3(x-12)

First, distribute.

1/2x-7=1/3x-4

Subtract 1/3x from both sides

1/6x-7=-4

Add 7 to both sides

1/6x=3

Multiply by 6 on both sides.

x=18

Hope this helps!

#Team Rainbows

Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days

Answers

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

Olivia picked 1,005 blueberries from the Orchard’s bushes. She divided them evenly into 8 baskets. How many are in each basket? How many are left over?

Answers

125 are in each. 5 are left over.

I need help please help yo

Answers

Answer:

28/35

Step-by-step explanation:

Soh-Cah-Toa

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

please help me with this question

Answers

Answer:

corresponding

Step-by-step explanation:

2 is not in the interior

The only numbers in the interior is 4, 11, 6, and 13

So crossing those two options we are left with corresponding

help answer this im struggling omg

Answers

H^2 + 3.5 = 20^2

That is the formula

Answer:

im not quite sure but what i got was 19.9

a/4=1 1/2

please answer I need it fast

Answers

Answer:

a = 6

Step-by-step explanation:

[tex]\frac{a}{4} =\frac{3}{2} \\a=4\times1.5\\a=6[/tex]

Write an equation, please help

Answers

Answer:

y = -6/5x + 2

Answer:

5\6x-2

Step-by-step explanation:

Y=(10-6x)\5

Y= 2-6\5x

Slope of line 1 = -6\5

Slope of line 2*(slope of line 1 )= -1

Slope of line 2 *-6\5=-1

Slopes of line 2 = 5\6

(X-x0)m = y-y0

(X-6)*5\6=y-3

5\6x -5 = y-3

Y= 5\6x -2

Prada buys a designer phone case for $300. The phone case is a collector's item and
triples in price every 8 years. Which function will model the value of Prada's phone case
after t years?

Answers

Answer:

f(t) = 300*(3)^(t/8)

Step-by-step explanation:

Initial price = $300Rate of increase = 3 times every 8 yearsTime = t years

Required function would be:

f(t) = 300*(3)^(t/8)

Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1

Answers

x>1 i’ve took this before

What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?

Answers

12x-3-3x=5-(x-8)
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5

Tracey spent 1/2 hour playing on her iPad. This used up 1/9 of her battery. How long would she have played on her iPad to use the entire battery?

Answers

Answer:

8 hours and 10 minutes im pretty sure

Step-by-step explanation:

can i have heart and brainliest

Answer:

4.5 hours

Step-by-step explanation:

Multiply 1/2 hours by 9 for 4.5 hours total.

Which equation is represented by the graph below?

Answers

Answer:

There is no graph, add a img

Step-by-step explanation:

An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.

Answers

Answer:x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

Can someone help me please

Answers

This is an equilateral triangle because all the angles are the same. This means the sides will be the same as well.
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12

HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.

a.) function g decreasing over the interval
b.) function g is a positive over the interval
c.) function g has a y intercept of(0,4)
d.) function g is 4 units above function f
e.) the domain of function g is x>0
f ) the range of function g is (3,infinity)​

Answers

Answer:

c. function g has A y intercept of (0,4)

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