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Alex
3 years ago
10

Which is a factor of 18x2 + 3x − 6? A. 2x + 1 B. 2x + 3 C. 3x + 2 D. 3x − 1

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

18x^2+3x-6=3(6x^2+x-2)=3(6x^2+4x-3x-2)\\\\=3[2x(3x+2)-1(3x+2)]=3(3x+2)(2x-1)\\\\Answer:\ \boxed{C.\ 3x+2}

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Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
Solve - 2x - 7 &gt; X+ 8.<br> O A. x&lt;-3<br> O B. x&lt;-5<br> O C. x&gt;-5<br> O D. x&gt;-3
Rzqust [24]

Answer:

x < -5

Step-by-step explanation:

- 2x - 7 > x+ 8

Add 2x to each side

- 2x+2x - 7 > x+2x+ 8

-7 > 3x+8

Subtract 8 from each side

-7-8 > 3x+8-8

-15 > 3x

Divide by 3

-15/3 > 3x/3

-5 >x

x < -5

6 0
2 years ago
Click the photo to solve the photo
dangina [55]

Answer:

A=2

B=4

C=6

D=5

E=7

F=8

G=3

H=1

Step-by-step explanation:

explanation is in the picture!

6 0
2 years ago
What is the surface area of a rectangular prisim with a height of 22 and area of 64
NikAS [45]

Answer:

1408 multiply 64 by 22 for a total of 1,408

6 0
3 years ago
Read 2 more answers
Suppose f'(7)=9 and g(7)= 5. <br> Find h'(7) where h(x) = 3f(x) + 2g(x) + 7<br><br> h'(7)=???
Ratling [72]

Answer:

The value of h'(7) = 44 .

Step-by-step explanation:

Given:

f'(7)=9 and g(7)= 5

We have to find : h'(7)

Also,

⇔ h(x) = 3f(x) + 2g(x) + 7   ...equation (i)

Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:

⇔ h(7) = 3f(7) + 2g(7) + 7

⇔ h(7) = 3f(7) + 2g(7) + 7

Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:

⇔ h(7) = 3(9) + 2(5) + 7

⇔ h(7)=27+10+7

⇔ h(7)=44

So the value of h=(7) = 44 .

6 0
3 years ago
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