Mathematics College

5. What are the two different ways of factoring -6x - 18? Select all that apply. *
-6(x + 3)
6(x + 3)
6(-x - 3)
-6(x - 3)

Answers

Answer 1

Answer:

-6(x+3) is your answer ( i hope)

Step-by-step explanation:

Answer 2

Answer:

-6(x+3)

Step-by-step explanation:

please mark me the brainliest

Related Questions

Write x² - 6x + 3 in the form (x-a)²+ b.​

Answers

Answer:

(x + 3)² - 12

Step-by-step explanation:

x²+6x-3

=  x²+ 6x + 9 - 12

= (x + 3)² - 12

The form of x² - 6x + 3 can be written as (x-3)² - 6.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

Equation= x² - 6x + 3

Now,

To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:

Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.

To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.

Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.

Simplify the last two terms: (x - 3)² - 6.

Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.

Therefore, by the given equation the answer will be (x-3)² - 6.

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ2

Helppp MEEEEEEE!!!!! what is 3(-2)-15+2=
And plzzzzzzzz show your work

Answers

Answer:

Step-by-step explanation:

3(-2)-15+2 = -6-15+2 = -21+2 = -19

Answer: -19

Step-by-step explanation:

3(-2)-15+2

Multiply the 3 and -2 because of the parenthesis first:-6-15+2

Next just put the negative numbers together:-21+2

Then just do -21+2=-19

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

Answers

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]

Probability of you winning and fireworks going off:

100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]

0.2275 = 22.75% probability that you actually won that round

what's the radius for r=13 mm?

Answers

Step-by-step explanation:

14 mm³ because the radius is this

Need to do this Help please

Answers

Answer:

Step-by-step explanation:

Now e have two figures

1 is ABCD and other is APQD ,

Now to find g and f,

Now the are both figure is ,

Area = length * width

Area ABCD = 39 cm^2

AB* BC = 39

(g+7) * ( f) = 39

Again,

Area APQD = AP*QD= 16 cm ^2

(g)*(f)=16

from here f =16/g  putt it in above equation we get ,

(g+7)*16/g = 39

16*g-39*g+96 =0

-23g +96 = 0

g = 96/23

g =3 cm

Now for f putt in one of the above equation ,

f =16/3

f =5.33 cm

Answer:

f = 3cm g = 6cm

Step-by-step explanation: to find f

Subtract the area of APQD from ABCD then divide by 7

f = (39 - 18)/7

f = 21/7

f = 3

To find g, divide the area of APQD by 3

18/3 = 6

We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ

Solve: 12x^2+5x-4=12^2x+6


A. x = 2

B. x = –5

C. x = 2, x = –5

D. no solution

Answers

Subtract the 12x^2 first.
5x - 4 = 6
Add the four
5x = 10
Then divide the 5 from both sides
X = 2

Complete the square to solve 3x2 + 12x = 9.
O A. x=2+1
O B. %= 3 + 6
OC. X=-2+
O D.%-
D. x=-2 + 13

Answers

Answer:

C) x = -2 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

3x² + 12x - 9 = 0

divide through by 3

x² + 4x - 3 = 0

add 3 to each side

x² + 4x = 3

divide 4 in half and square it; add it to each side of equation

x² + 4x + 4 = 3 + 4

(x + 2)² = 7

x + 2 = [tex]\sqrt{7}[/tex]

x = -2 ± [tex]\sqrt{7}[/tex]

MARKING BRAINLEIST IF CORRECT AND QUICK

Answers

Answer:

Step-by-step explanation:

D)

Hope that helps!

A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.​

Answers

If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.

We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.

Therefore the box has length and breadth as 4 ft each and a height of 2 ft.

Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.

Answers

Answer:

Step-by-step explanation:

n = 101 × 103 = 10,403

sum of digits = 8

Lower bound of 19.4mm??

Answers

Answer:

19.35?

Step-by-step explanation:

If you wanted to measure how much your dog weighs, which unit of measure would you use?
A: Grams
B: Meters
C: Liters

Answers

Answer:

Grams

Step-by-step explanation:

Meters is for measuring height

Litres are for measuring water

-x²-2x+7=-17 help lol

Answers

you can just use photomath

Give the coordinates of the point obtained from each reflection. (a) Reflect the point (-3, 7) across the y-axis: 00 (b) Reflect the point (-3, 7) across the x-axis: (01)​

Answers

Answer:

a) Rule for reflection across y - axis:

(x, y) → (-x, y)(-3, 7) → (3, 7)

b) Rule for reflection across  x - axis:

(x, y) → (x, -y)(-3, 7) → (-3, -7)

HELP FAST!!!!
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A. -3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75

Answers

Answer:

[tex]-1.5x - 3.5y =- 31.5[/tex]

Step-by-step explanation:

Given

AB: [tex]-7x + 3y = -21.5[/tex]

[tex]PQ(x_1,y_1) = (7,6)[/tex]

Required

Determine the equation of PQ

First, we calculate the slope of AB:

[tex]-7x + 3y = -21.5[/tex]

Make 3y the subject

[tex]3y = 7x - 21.5[/tex]

Make y the subject

[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]

An equation has the general form:

[tex]y = mx + b[/tex]

Where m = slope

So:

[tex]m = \frac{7}{3}[/tex] -- Slope of AB

From the attached diagram, we can see that PQ is perpendicular to AB.

This means that, the relationship between their slope is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Substitute 7/3 for m1

[tex]m_2 = -\frac{1}{7/3}[/tex]

[tex]m_2 = -\frac{3}{7}[/tex]

The equation of PQ is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = m_2 = -\frac{3}{7}[/tex]

and

[tex]PQ(x_1,y_1) = (7,6)[/tex]

So, we have:

[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]

Multiply both sides by 7

[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]

[tex]7y - 42 = -3(x-7)[/tex]

Open bracket

[tex]7y - 42 = -3x + 21[/tex]

Collect Like Terms

[tex]3x + 7y = 42 + 21[/tex]

[tex]3x + 7y = 63[/tex]

Divide through by -1/2

[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]

[tex]-1.5x - 3.5y =- 31.5[/tex]

The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]

Answer:

B. -1.5x − 3.5y = -31.5

Step-by-step explanation:

Got it right on the test. ; )

Question Help
The number of kilograms of water in a human body varies directly as the mass of the body. An 87 kg person contains 58 kg of water. How many kilograms of water are
in a 78 kg person?
kg of water are in a 78 kg person

Answers

Answer:

52kg

Step-by-step explanation:

use cross multiplication method when encounter problems like these

A truck driver drove 13 hours and earned $520. What is the hourly rate?

Answers

Answer:

$40

Step-by-step explanation:

520/13=40

Answer:

Step-by-step explanation:

[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]

Factorize
2(x+y) ²+9 (x+y)+7​

Answers

Answer.!.!.’hope it help

Answer:

(2x+2y+7)(x+y+7)

Step-by-step explanation:

I suspect this is what you are expected to do.

Define z=x+y

2z^2+9z+7

2z^2+2z+7z+7

2z(z+1)+7(z+1)

(2z+7)(z+1)

(2x+2y+7)(x+y+7)

ANSWER QUICK FOR BRANLIEST PLEASEEEE!!! There are 4 packs of crayons for every 7 students. How many students can share 16
packs?

Answers

The answer is 44 students

Which equation means the same as two more than the number of

apples is 5?

Group of answer choices

A. 2 + 5 = a

B. 2(a + 5) = 10

C. 2a + 5 = 5

D. a + 2 = 5

Answers

Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

(4,0)

Step-by-step explanation:

1/3S=9
Three options
A S=3
B. S2/3
C S=27

1/3 times S=9

Answers

Answer:

C

Step-by-step explanation:

1/3S=9

multiply 3 on both sides

S=27

Helppp plzzzzzzzzzzzzzz

Answers

Answer:

equivalent

Step-by-step explanation:

i just know

Equivalent :)
Explanation: adding 2k and 6k together creates 8k, making both equations 4+8k, hope this helps!

What is the slope of the line that passes through (3,3) (7,6)?

Answers

Answer:

3/4 i think

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

slope=(y_2-y_1)/(x_2-x_1)

slope=(6-3)/(7-3)

slope=(3)/(4)

slope=0.75

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12.56

Step-by-step explanation:

The formula to find the Circumference of a circle is [tex]C=\pi D[/tex] where d is the diameter and c is the circumference.

First, calculate the diameter of the circle by multiplying the radius by 2 and substitute it in for the value of D:

[tex]C=\pi 4[/tex]

Then, multiply pi and the diameter together:

[tex]C=12.56[/tex]

Answer:

12.57

Step-by-step explanation:

trust me

Please help!! Please

Answers

what do u need help with?

Step-by-step explanation:

I'm in confusion

¯\(°_o)/¯

What do you need help with????

Mrs. Wicker bought a case of 24 juice boxes for $12. How much did each box of juice cost?

Answers

Answer:

If 24 juice boxes=12$

Then one box=24÷12=2

One box is 2$

Step-by-step explanation:

:)

Factor the expression using the GCF. 25b+50​

Answers

divide by 25 should get b+2

xy(3x2 – 2y2) – yz(2y2 – 3x2) + zx(15x2 – 10y2)​

Answers

jdhhdhdhdhhdhdhdhhdhdhdh

an 800 deposit for 24 months earned $200 in interest. i need to find out the rate, and total value

Answers

Answer:

rate: 8.33 dollars per month in interest. total value: $1000

Step-by-step explanation:

Answer:

rate is 8.30 and total value is 1000

Step-by-step explanation:

Other Questions
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