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3 years ago

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

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

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

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 > X+ 8. O A. x<-3 O B. x<-5 O C. x>-5 O D. x>-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. Find h'(7) where h(x) = 3f(x) + 2g(x) + 7 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:

⇔ $h(7) = 3f(7) + 2g(7) + 7$

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