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Roman55 [17]
3 years ago
15

Find a cubic function with the given zeros. 7, -3, 2

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0
\bf x=
\begin{cases}
7\\-3\\2
\end{cases}\implies 
\begin{cases}
x=7\implies &(x-7)=0\\
x=-3\implies &(x+3)=0\\
x=2\implies &(x-2)=0
\end{cases}\\\\
-------------------------------\\\\
(x-7)(x+3)(x-2)=\textit{original polynomial}
\\\\\\
(x^2-4x-21)(x-2)\implies x^3-4x^2-21x-2x^2+8x+42
\\\\\\
x^3-6x^2-13x+42
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You start driving south for 16 miles, turn left, and drive east for another 12 miles. At the end of driving, what is your straig
Shkiper50 [21]
The answer is 28 miles
x=12+16
5 0
3 years ago
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What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base B C and vertex A is
vfiekz [6]

<u><em>Answer:</em></u>

x = 25

y = 14

<u><em>Explanation:</em></u>

The described scenario can be represented using the attached triangle.

<u>1- getting the value of x:</u>

We know that ΔABC is an isosceles triangle with AC = BC

<u>This means that:</u>

∠CAB = ∠CBA

We know that ∠CAB = 50° and ∠CBA = 2x°

<u>Equating the two angles, we get:</u>

50 = 2x .................> Divide both sides by 2

x = 25

<u>2- getting the value of y:</u>

We know that the sum of the internal angles of a triangle is 180°

<u>This means that:</u>

∠ABC + ∠CAB + ∠ACB = 180°

<u>We have:</u>

∠ABC = 2x = 50°

∠ACB = 5y + 10

∠CAB = 50°

<u>Now, we substitute to get the value of y as follows:</u>

50 + 50 + 5y + 10 = 180

110 + 5y = 180

5y = 180 - 110

5y = 70 .............> Divide both sides by 5

y = 14

Hope this helps :)

7 0
3 years ago
Can someone Help me with this ? :C and put in the Workings
Sedbober [7]

Answer:  1. 456\div2 =228 2. 538\div7=76.85

Step-by-step explanation:

The given division problems :

1.\ 456\div2

2.\ 538\div7

By long division (see the attachment)

1. Divisor= 2

Dividend =456

Quotient = 228

Remainder =0

So, 456\div2 =228

2. Divisor= 7

Dividend = 538

Quotient =76.85

so, 538\div7=76.85

6 0
3 years ago
Rashawn read 25 pages of his book each day until he finished the book. His book was 400 pages long.
Katyanochek1 [597]

The first thing we are going to do for this case is define variables.

We have then:

x: number of days

y: number of pages remaining.

We write the linear equation that models the problem:

y = -25x + 400

The intersection with the vertical axis is:

We evaluate x = 0:

y = -25 (0) + 400\\y = 0 + 400\\y = 400

We get the point:

(x, y) = (0, 400)

The intersection with the horizontal axis is:

We evaluate y = 0:

0 = -25x + 400\\25x = 400

x = \frac{400}{25}\\x = 16

We get the point:

(x, y) = (16, 0)

Answer:

The graph is:

y = -25x + 400

Graph located in the bottom left.

4 0
3 years ago
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What is the solution to the system of liner equations shown on the graph?
Valentin [98]

Answer:

C The system has no solution

Step-by-step explanation:

They are parallel lines so there is no solution :).

5 0
3 years ago
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