Factor this polynomial expression.
15x^2- 2x - 8
O A. (5x + 4)(3x - 2)
O B. (5x - 4)(3x+2)
O C. (5x + 2)(3x - 4)
O D. (5x-2)(3x+4)

Answers

Answer 1

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

[tex] \longrightarrow [/tex] 15x² + (10 - 12)x - 8

[tex] \longrightarrow [/tex] 15x² + 10x - 12x - 8

[tex] \longrightarrow [/tex] 5x(3x + 2) - 4(3x + 2)

[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)


Related Questions

What are the zeros of the function below? Check all that apply.
(x - 1)(x + 1)
----------------
6(x-4)(x+7)
A. 7
B. 1
C. -1
D. 4
E. 6
F. -7​

Answers

pretty sure it’s D and F because if you set (x-4)=0, x is 4 and if you set (x+7)=0, x is -7

UN PASTEL SE CORTA QUITANDO CADA VEZ LA TERCERA PARTE DEL PASTEL QUE HAY EN EL MOMENTO DE CORTAR ¿QUE FRACCION DEL PASTEL ORIGINAL QUEDO DESPUES DE CORTAR TRES VECES?

Answers

Answer:

No queda nada del pastel.

Step-by-step explanation:

El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.

Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.

Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3

Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis

Answers

Answer D is correct

q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr​

Answers

I’m not positive this is right but try 26. I set 2x+1 and 3x-5 equal to each other and solved for x. I got x=6 then plugged it into both of the equations then added the equations together.

erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
-5x - 25 = 78
Step 1:-5x - 25 -25 = 78 - 25
Step 2: -5x = 53
Step 3:-5x/-5 = 53/-5
step 4: x = -53/-5

a step 1: She should have added 25 to each side
b step 1: She should have divided both sides by -5.
c step 3: She should have divided both sides by -5.
d step 3: She should have multiplied both sides by -5.

Answers

Answer:

A

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

The set of ordered pairs represents a function. Write a rule that represents the function.

Answers

The answer is: y = 4x + 1

I need help pleaseeee

Answers

Do u have to simply?
Fraction is 2/5
Decimal is 0.4
Percent is 40%

-4/7 + 2/7 x –14x + 4/7

Answers

The answer is -96/7x

Can you pls mark brainleist

11(p-3)=5(p+3) really need an answer please hahaha

Answers

Answer:

P = 8

Step-by-step explanation:

Answer:

p=104/33

Step-by-step explanation:

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer:

Slope is 3

y-intercept is 2

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.

Answers

Answer:

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A comparison of the area and circumference is not possible since the area cannot be determined.

The numerical value of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

Using the area and the circumference of the circle, it is found that the correct statement is given by:

The numerical value of the circumference is greater than the numerical value of the area.

What is the area of a circle?

The area of a circle of diameter d is given by:

[tex]A = \frac{\pi}{4}d^2[/tex]

What is the circumference of a circle?

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In this problem, we have that d = 3, hence:

[tex]A = \frac{\pi}{4} \times 3^2 = \frac{9\pi}{4} = 2.25\pi[/tex]

[tex]C = \pi \times 3 = 3\pi[/tex]

Hence the correct option is given by:

The numerical value of the circumference is greater than the numerical value of the area.

More can be learned about the area and the circumference of a circle at https://brainly.com/question/15673093

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A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent

Answers

Answer:

11%

Step-by-step explanation:

I think that's the answer just check first

I NEED THIS ANSWER I DONT UNDERSTAND PLEASE HELP

Answers

Answer:

A. 904.3 cm³

Step-by-step explanation:

Radius of the ice cream cone (r) = 6 cm

Height of the ice cream cone (h) = 12 cm

Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm

Total volume of ice cream = volume of cone + volume of hemisphere

= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]

Plug in the values

[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]

[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]

[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]

[tex] = (452.16) + (452.16) [/tex]

Total volume of ice cream = 904.3 cm³ (nearest tenth)

Paola and Tom opened a lemonade stand. This week they sold 20 cups of lemonade and received $5 in tips. If they spend $30 on supplies, which inequality could be used to find x, the price of each cup they must sell to make a profit?

Answers

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

The area of a rectangle is 5/6 square foot. The width is 2/3 foot. How many times greater is the length than the width? Write your answer in simplest form.

Answers

Answer:

15/8

Step-by-step explanation:

The area of a rectangle is given as 5/6 square foot.

The width is given as 2/3 foot

But area if a Rectangle = Lenght × width

A = Lenght x width

5/6= Lenght × 2/3

If we make Lenght subject of the formula we have

lenght= (5/6) / (2/3)

length = (5×3)/(6×2)

Lenght= 5/4

To calculate the number of times greater is the length than the width we take the ratio of Lenght and width

Lenght / width = (5/4) / (2/3)

= (5×3)/(4×2)

= 15/8

Hence the number of times greater is the length than the width is 15/8

PLEASE HURRY!!!
Let z = Equals 38 (cosine (StartFraction pi over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) ) and w = 2 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) ) .

What is the product of zw?
40 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
76 (cosine (StartFraction pi Over 16 EndFraction) + I sine (StartFraction pi Over 16 EndFraction) )
40 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )
76 (cosine (StartFraction 3 pi Over 16 EndFraction) + I sine (StartFraction 3 pi Over 16 EndFraction) )

Answers

9514 1404 393

Answer:

  d.  76(cos(3π/16) +i·sin(3π/16))

Step-by-step explanation:

To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:

  38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)

___

In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))

A car rental agency advertised renting a car for $23.95 per day and $0.24 per mile. If Shawn rents this car for 3 days, how many whole miles can he drive on a $150 budget?

Answers

Answer:

23.95(3)+ 0.24=150 multipy 3 and 23.95

71.85+0.24m=150 subtract 71.85 from 150

0.24m=78.15 divide 78.15 by 0.24

m=325 miles

In a two-digit number, the units digit is six less than three times the tens digit. Four times the units digit minus five times the tens digit equals 11. Find the digits.

Answers

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this

Daisy filled a bucket with 7/6 gallon of rain.water.
later she poured out 1/6 of gallon of of the water. how much water is left in the bucket?​


I'll mark you brilliantest

Answers

A gallon or 6/6 gallon

Write in index form
9x9x9

Answers

Answer: 9^3 or 9 by the power of 3.

Step-by-step explanation:

what does rise over run mean in math?

Answers

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation:

Which equation represents the rectangular form of 5pi/6​

Answers

Answer:

D, StartRoot 3 EndRoot x + 3 y = 0

Step-by-step explanation:

The equation which represents the rectangular form of 5pi/6​ is √3x-y=0.

We are given that;

The expression 5pi/6​

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).

Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).

Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.

Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).

Therefore, by the equation answer will be √3x-y=0.

To learn more about equations :

brainly.com/question/16763389

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A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-

bedroom condo. The total rent she receives is $1240. She needs to make repairs on the

condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-

bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total

repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.

How much is the rent for all three condos? Define your variables then write and solve a

system of equations.

Answers

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

3x+2=2x+2+x
How many solutions does the equation have? Explain why and how

Answers

Step-by-step explanation:

3x-2x -x = 2-2

x=0

the solutions =2

1) must moves the numbers

2) solve them

Help. IM SO LOST ON THIS! ;(

Answers

Answer:

1. 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4[tex]\frac{2}{3}[/tex] cups of potatoes

There's your answer.

write the equation of a line that has a slope of 3 and passes through the point (1,2) in slope intercept form

Answers

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer

On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?

Answers

3.6 in= 55 miles
55x3= 165
55/6= 9
165+9= 174
174 miles

HELLLLLLLLLLLLLLLLLLLPPPPPPPP

Answers

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω`●)

$11.13-$5.50-$6.12=$10.51; $30- $10.51

Answers

What is the problem?? I would love to help

What is the slope?
rise=6
run=12

Answers

Answer:

0.5

Step-by-step explanation:

Rise over run. 6/12 or divide. 6 divided by 12 equals 0.5.

Answer: 1/2

Step-by-step explanation:

6/12 simplified is 1/2

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