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lapo4ka [179]
3 years ago
8

125 + (a-b)³ help me​

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

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(4.04 MC)
aev [14]

The equation of a linear function: y = mx + b

x = y - 3 → y - 3 = x      <em>add 3 to both sides</em>

y = x + 3     <em>it's a linear function!</em>


y = x³ + 2 NOT, because we have x³

y = 6x² NOT, because we have x²

y = 2/(3x) NOT, because x is in denominator.

7 0
3 years ago
Read 2 more answers
A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=−16t2+192t. After how
steposvetlana [31]

Answer:

t=7seconds or 5seconds

Step-by-step explanation:

s=-16t^2 +192t

let s=560ft

560=-16t^2 +192t

16t^2 -192t+560=0

16(t^2-12t+35)=0

(t^2 -12t +35)=0

factoring it ,it will give

(t-7)(t-5)=0

solving for t

t-7=0 or t-5=0

t=7s or t=5s

3 0
3 years ago
Please explain why. Thanks
xxTIMURxx [149]

<h3><u>Question</u> :-</h3>

Is (x-2) is a factor of x³-3x²-x +7 –

  • Yes
  • No ☑

<h3><u>Explanation</u> :-</h3>

We are given –

  • Polynomial function, P(x) = x³-3x²-x +7

  • In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

  • Let's find value of x!

\qquad \twoheadrightarrow\bf P(x) = x³-3x²-x +7

\qquad \twoheadrightarrow\bf Q(x) =x - 2

\qquad \twoheadrightarrow\bf If \:Q(x) = 0

\qquad \twoheadrightarrow\bf x - 2 = 0

\qquad \twoheadrightarrow\bf x = 2

Now Put x = 2 into the polynomial –

\qquad \purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}

\qquad \twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5

\qquad \twoheadrightarrow\sf P(2) = 8 -12 +5

\qquad \twoheadrightarrow\sf P(2) = 13-12

\qquad \purple{\twoheadrightarrow\bf P(2) =1 }

  • Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

5 0
2 years ago
Volunteers at Sam's school use some of the student council's savings for a special project. They buy 3 backpacks for $7 each and
nydimaria [60]

Answer:

Sam's student council spent $39 on backpacks + paper and pens.

Step-by-step explanation:

They bought 3 backpacks for $7 each. 3 x 7 = $21.

They also filled those backpacks with paper and pens costing $6 each. 3 backpacks x $6 = $18.

Now, add the two prices.

18 + 21 = 39

<em>hope this helps :)</em>

3 0
3 years ago
Read 2 more answers
Need help anyone can help
Ket [755]

Answer:

b

Step-by-step explanation:

because

7 0
3 years ago
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