Factor each polynomial
4z^2+4z-15

Answers

Answer 1

Answer:

(2z + 5)(2z - 3)

Step-by-step explanation:

4z² + 4z - 15

4z² + 10z - 6z - 15

2z (2z + 5) - 3 (2z + 5)

(2z + 5)(2z - 3)

Answer 2

Answer:

(2z+5) (2z-3)

Step-by-step explanation:

First, multiply the first coefficient by the third.

4*-15=-60

Then find factors of -60 that add up to the middle term.

The factors are: -6 and 10-------> -6*10=-60 and -6+10=4 so -6 and 10 are the correct factors.

Break up the middle term with the factors that you got above. The new equation will be: 4[tex]z^{2}[/tex]-6z+10z-15

Factor by grouping.

First, break the equation into two

(4[tex]z^{2}[/tex]-6z) (10z-15)

Then, factor out the greatest number you can

2z(2z-3) 5(2z-3)

You are then left with a common binomial of 2z-3. COmbine the common binomial into 1 and combine the 2 numbers you factored out in the step above (2z and 5) The final equation will be this:

(2z+5) (2z-3)


Related Questions

4y – 9 = -63
Someone, please help me find the steps of this equation!!
HELP ME PLEASE!!!

Answers

Answer:

The answer is y=-13.5

Step-by-step explanation:

4y-9=-63

add 9 from both sides because it's negative

4y=-54

divide both sides by 4 to isolate the variable

y=-13.5

Answer:

4y-9=-63

add 9 from both sides because it's negative

4y=-54

divide both sides by 4 to isolate the variable

y=-13.5

The local farm market sell peppers at five for $2.25

Answers

Answer:

Wait what is the question?

through: (1, -1), parallel to y=x+1

Answers

y= x-1 is what it should be

On a number line, which fraction would is to the right of
1/2
A)
2/12
B)
1/3
C)
10/20
D)
16/25

Answers

Answer:

B

Step-by-step explanation:

Edge 2020

Answer:d

Step-by-step explanation:

I got it right 100%

Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-3.
O A y=-2x + 2
O B. y=-2x - 2
O C. y=x-2
O D.y= 3x+2

Answers

Answer:

B

Step-by-step explanation:

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Heres my question! pls help if u can

Answers

Answer:

18 tiles

Step-by-step explanation:

Area of a floor is 12 × 15 = (12 × 12) × (15 × 12) = 324 inch²

Area of tile is 18 inch²

324 ÷ 18 = 18 tiles

a potato chip company packages chest by stacking them into a tall cylindrical K which units are most appropriate for measuring the thickness of an individual chip​

Answers

Answer:

MIllimeters

Step-by-step explanation:

Its simple who measures this in inches or centimeters, or meters or anything else

(x + 26)
(3x)
X=

Helpppp

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

Vertical Angles

Step-by-step explanation:

Step 1: Set up equation

3x = x + 26

Step 2: Solve for x

Subtract x on both sides:                    2x = 26Divide 2 on both sides:                       x = 13

01:29:01 Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is 0.05 x = 1 What was the price of the shoes?

Answers

Answer:

the price of the shoes is $20

Step-by-step explanation:

According to the question, The computation of the price of the shoes is shown below:

Data provided in the question

0.05x = 1

Based on the above information

We now solve for x

x = 1 ÷ 0.05

It can be written as

= 100 ÷ 5

= $20

hence, the price of the shoes is $20

Please help if you know trig, will give brainliest! Thank you!

Answers

Answer:

sin^2(a) I believe. Delete my response if needed.

Step-by-step explanation:

tan²(α) (2 cos²(α) + sin²(α) - 1)

Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :

tan²(α) (2 cos²(α) - cos²(α))

tan²(α) cos²(α)

Rewrite tan(α) = sin(α) / cos(α) :

(sin(α) / cos(α))² cos²(α)

(sin²(α) / cos²(α)) cos²(α)

Cancel the factors of cos²(α) :

sin²(α)

NEED HELP! just with the 1st 2

Answers

the first one is -10 and the second one is 10

what is the slope of the line that passes through the points (7, -5) and (10, -7.5)?

A:
[tex] \frac{5}{6} [/tex]


B:
[tex] \frac{6}{5} [/tex]


C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]

Answers

Answer:

C. [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex] Then substitute[tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]

what would be the slope intercept form?​

Answers

Answer:

[tex]y=\frac{7}{2} - 4[/tex]

Step-by-step explanation:

y = mx + b

Where M is the slope and b is the Y-intercept

Y=7/2-4

Explanation: the slope intercept formula is y=mx+b. The slope is m so it’s 7/2 and the y intercept is -4 so you plug it in.

solve the proportion : 3/8/1=x/8

Answers

Answer: 3

8

1

=

x

8

Also its in a fraction that's why i put it that way.

Step-by-step explanation:

3

8

1

=

x

8

Step 1: Cross-multiply.

3

8

1

=

x

8

(

3

8

)*(8)=x*(1)

3=x

Step 2: Flip the equation.

x=3

Answer:

x=3

Anyone????? That can help me answer these

Answers

Answer:

5. 3050ft³ (rounded to 3 s.f.)

6. 4190ft³(rounded to 3 s.f.)

7. 4600ft³(rounded to 3 s.f.)

Formulas (For easier reference):

Volume of a cone: pi×r²×[tex]\frac{h}{3}[/tex]

Volume of cylinder: pi×r²×h

Volume of a sphere: [tex]\frac{4}{3}[/tex]×pi×r³

Volume of a hemisphere: [tex]\frac{2}{3}[/tex]×pi×r³

Step-by-step explanation:

You can just apply the formulas to the question:

5. Volume of cone = pi×9²×[tex]\frac{(16-10)}{3}[/tex]

                               = 162pi

  Volume of cylinder = pi×9²×10

                                   = 810pi

Volume of figure = 162pi+810pi

                            = 972pi

                            = 3050ft³ (rounded to 3 s.f.)

6. Volume of sphere = [tex]\frac{4}{3}[/tex]×pi×10³

                                   = 1333[tex]\frac{1}{3}[/tex]pi

                                   = 4190ft³(rounded to 3 s.f.)

7. Volume of hemisphere = [tex]\frac{2}{3}[/tex]×pi×(26÷2)³

                                          = 1464[tex]\frac{2}{3}[/tex]pi

                                          = 4600ft³(rounded to 3 s.f.)

factor completely.
6x^2- 150

A) 6(x-5)^2
B) 6(x-5) (x+5)
C) (3x+2) (2x-75)
D) 6(x+5)^2
E) (2x-15) (3x+10)​

Answers

Answer:

B) 6(x-5) (x+5)

Step-by-step explanation:

Common factor.

6 ( ^2 − 25)

Use the sum-product pattern.

6 ( ^2+5−5−25).

Common factor from the two pairs.

6((+5)−5(+5)).

Rewrite in factored form.

6 ( − 5 ) ( + 5).

Is this function linear or nonlinear?

y=2x2−4

10 POINTS

Answers

Answer:

I think it's nonlinear

Nonlinear is the answer

24. Michael leaves his house at 0837 and travels by motorcycle to the railway station, which is 27 km from his
house.
(i) If he arrives at the station 36 minutes later, find the average speed at which he travels in km/h.
(ii) If the train, which is due at 0942, is 11 minutes late, how long will he have to wait?

Answers

Answer:

i) 45km/hr

ii)29 min

Step-by-step explanation:

average speed = distanced travelled / time elapsed

It took 36min and need to convert to hr

36min x [tex]\frac{hours}{60 min}[/tex] = [tex]\frac{36 hr}{60 min}[/tex] = [tex]\frac{9 }{15 }[/tex] hours

distanced travelled is 27 km;

average speed = 27km / (9/15hr) = 45 km/hr

Add 36min to 0837 becomes 0913, the train will arrive at 0942 and the wait will be the difference of 0942 - 0913 = 29 min

what is the square root of 81 by the difference between the product of -1 and -3 and the square root of 4​

Answers

Answer:

3

Step-by-step explanation:

The expression is [tex]\sqrt{81} -(-1*-3*\sqrt{4})[/tex] Type the expression into a calculator.

Can someone help me I don’t understand this

Answers

Use pythagorean theorem to get EG. If you have EG, you also have all the sides of the equilateral triangle.

The square in the triangle equals 90° so add 90+ the other two sides :)

Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answers

Answer:

7.95 divided by 5 times 16 so 7.95 divided by 80= so about 10 cents

Step-by-step explanation:

A computer technician charges customers $75 per hour.
Let h represent the number of hours the technician works.
o f(h) = 75 + h
o f(h) = 75 + h
Of(h) = 75h
Of(h) = 75 - h

Answers

Answer:

C. f(h)=75h

Step-by-step explanation:

That is the answer, hope it helps!

Answer:

it is the first one f(h)=75+h

Which identity is the result of using the pythagorean theorem to show that a triangle with side lengths x^2 - 1, 2x, and x^2 + 1 is a right triangle?
A. (x^2 - 1)^2 + (2x)^2 = -(x^2 + 1)^2
B. -(x^2 -1)^2 + (2x)^2 = (x^2 +1)^2
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
D. (x^2 - 1)^2 - (2x)^2 = (x^2 + 1)^2

Answers

9514 1404 393

Answer:

  C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...

  C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

__

Expanded, this is ...

  x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity

Answer:

C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Find the value of x

Answers

Answer:

65

Step-by-step explanation:

remember a TRIANGLE always have a 180 degrees total angle,

so 45+70=115

180-115=65

Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?

Answers

Answer:

y = 1/4x - 2

Step-by-step explanation:

I hope this helps :)

Answer:

y = 1/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 1/4

y-intercept b = -2

Step 2: Plug into formula

y = 1/4x - 2

How many kilograms equal 22 pounds? [1 pound = 0.454 kilogram

Answers

Answer: 9.97903k = 21.99999528

10k = 22.0462p

Step-by-step explanation:

Answer:

B 9.988

LOLOLOLOL

A rocket ship travels at 2.0×104 miles per hour. If a satellite is 2.5×105 miles from​ Earth, how long will it take the rocket to make the trip from Earth to the​ satellite? (Hint: Divide the distance to the satellite by the​ speed.) Write your answer in scientific notation.

Answers

Answer:

20104 and 25105

Step-by-step explanation:

The triangles in the picture are congruent by which method

Answers

Answer:

ASA

Step-by-step explanation:

The battery life for Bruhier's cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for
16 hours. When four apps are running, the battery will only last for 4 hours.
This situation represents
variation.
The constant of variation, k, is equal to
If eight apps are running, Bruhler's battery will last for 4 hours

Answers

Answer:

inverse, 16, 4

Step-by-step explanation:

The constant of variation when eight apps are running, battery lasts for 4 hours is 32.

What is Inverse Variation?

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The battery life varies inversely with the number of apps running

The battery life is denoted by b

and the number of apps is denoted by a

then

[tex]\rm b\; \alpha \; (1/a)\\\\b = k /a[/tex]

here k is the proportionality constant

The battery lasts for 16 hours when the apps opened is 1

The battery lasts for 4 hours when the apps opened is 4

16 = k

The constant of variation when eight apps are running, battery will last for 4 hours

[tex]\rm 4 = k /8[/tex]

k = 32

To know more about Inverse Variation

https://brainly.com/question/11592410

#SPJ2

An arts academy requires there to be 3 teachers for every 75 students and 4 tutors for every 48 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​108 students?

Answers

Answer:

A. or B.

Step-by-step explanation:

I

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