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Julli [10]
3 years ago
5

Factor the polynomial by grouping: 12x^3-28x^2-15x+35

Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

(3x-7)(4x^{2} -5)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

You might be interested in
!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
F(a)=a^4+3a^3-17a^2+2a-7 at a=3
Anon25 [30]

Answer:

a

Step-by-step explanation:

a

6 0
3 years ago
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
11 months ago
What is the slope of the line that passes through the points(7,-9) and (15,-29)?
Alex Ar [27]
(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
3 0
3 years ago
2. Hanna made 5 hit out of 13 during her first baseball game. What percentage of hits did she make?
MrRa [10]

Answer:

B. 38%

Explanation:

Given parameters:

Number of hits = 5hit

Total hits = 13

Unknown:

Percentage of hits shed made = ?

Solution;

The percentage of hit made = \frac{number of hits }{Total hits} x 100

input the parameters and solve;

        Percentage of hit made = \frac{5}{13} x 100

       Percentage of hit = 38%

Percentage of hit = 38%

4 0
3 years ago
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