Factor completely:

–abc –5ac –4ab –20a

Answers

Answer 1

Answer:

[tex]-a(b+5)(c+4)[/tex]

Step-by-step explanation:

[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]

Answer 2

The factor of the given expression is -a(b+5)(c+4)

What is factorization?

Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object

Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,

-abc -5ac-4ab-20

- a(bc +5c+4b+20)

- ac(b+5)+4(b+5)

- a(b+5) (c+4)

Hence, the factor of the given expression is -a(b+5)(c+4)

Learn more about factorization, click;

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Related Questions

Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51

Answers

[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]

Find the value of X in the following 3x+4=25

Answers

The answer is 7

Step-by-step explanation:

subtract 4 from 25 which is 21 than divide by 3 getting x =7

Answer:

x=7

Step-by-step explanation:

3x+4=25

3x=25–4

3x=21

X=21÷3

X=7

fill in the blank to make the fractions equivalent. 1/2 ?/10​

Answers

Answer:

5/10

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10

5/10

Answer:

5

Step-by-step explanation

multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

I need help please! It’s due tonight and I don’t know.

Answers

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

Could anyone help? I’ve watched the videos but they’ve confused me even more

Answers

Answer:

for a) you have to draw the graph of y = x - 1 for values from 0 to 7 so you need to make the table in the picture:(see the attached picture) now draw it using the coordinates from the table

but for b) I don't know I tried something but it didn't work.

Can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST

Answers

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

write 28 + 24 as a product of two factors using the greatest common factor and the distributive property

Answers

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

PLEASE HELP ME FAST IF YOU CAN

Answers

Answer:

1. 180°

2. m∠AOB

3. 60° + 90 ° + 30 ° = 180 °

4. x = 15

Step-by-step explanation:

Reason for number 1:

All straight lines are 180°

Reason for number 2:

These angles all add up to 180° and the line with this angle is m∠AOB.

HELP pleaseeeeeeeeee

Answers

Answer:

Or is separate

And is together

does the equation have roots? if yes, find them.

x^2=32

Answers

Answer:

[tex]x=\pm 4\sqrt2[/tex]

Step-by-step explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]

Solve for x

x+0.15x=3.45

Answers

Answer:

thanks for the points new comer you will get use to it

hidden valley motel 32 feet long

Answers

Did you forget to put in the rest of the question?

85% of 540 = 30% of C

Answers

Answer:

C = 1530

Step-by-step explanation:

85% of 540 = 30% of C

0.85 * 540 = 0.3 * C

459/0.3 = 0.3C/0.3

C = 1530

Answer:

c = 1530

Step-by-step explanation:

First, convert the percentages to a decimal.

[tex]85\div100=0.85\\30\div100=0.30[/tex]

In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.

With that, you can write this equation:

[tex]0.85\times540=0.3\times c[/tex]

Now, just solve for c:

[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]

To confirm that:

[tex]0.85\times540=0.30*1530\\459=459[/tex]

the total of this is 297197401415÷842035

Answers

Answer:

Approximately 352,951.36

Answer:

Step-by-step explanation:

= 297197401415+842035

= 297198243450

=297197401415/842035

=352951.363

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction​

Answers

Answer:

Side length = 4.80 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 14.4 cm:

An equilateral triangle has three congruent sides.

Since a triangle has three sides, and the sum of those sides represent the perimeter.  We can assume that each side of the triangle represents a third (⅓) of the perimeter.

Perimeter of an equilateral triangle = side + side + side = 3(side)  

Perimeter = 14.4 cm

[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]

Therefore, the length of each side of an equilateral triangle is:  4.80 cm.


Can somebody please help me and tell me how did you get the answer please thank you!!!

Answers

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

1/2(12w+8)-1/8(10w-5) This confuses me very much pls help

Answers

Answer:

3 8 + 3 7  divided by 8

Step-by-step explanation:

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

Solve the system by substitution
y=-8x -24
y=-4x

Answers

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.

Answers

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.

simplify 2 by 3 multiply by 2 plus 3 1 by 3​

Answers

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Suppose a candy bar weighs ounces. How much does a pack of bars weigh?

Answers

Answer: it ways ounces?????????????

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x

0
2
2x-2
O
X
0
2x
X-1

Answers

Answer:(1-(1/x))/2

Step-by-step explanation:

(1-(1/x))/2

We can multiply both sides by x:

Top:  x(1-(1/x)) = (x - 1)

Bottom: 2x

(1-(1/x))/2


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

What is the slope of this equation and Y intercept.

Y= 3/5x + 6

Answers

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

Type the missing digit in this number
7,587_64 is divisible by 8.

Answers

0! 7587064 is divisible by 8

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

If 5mi ≈ 8km, how many miles would be equal to 50 km

Answers

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

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