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3 years ago

Use the Quadratic Formula to find the x-intercepts (zeros) to the following equation: 0 = -2x2 - 7x + 12

Mathematics

1 answer:

IRISSAK [1]3 years ago

8 0

Answer:

The x-intercept is 8/7.

Step-by-step explanation:

There is only one x-intercept because the equation is linear. And you don't need the quadratic formula to find the x-intercepts at all. Hope this helps!!

You might be interested in

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

Find the x and y intercepts and the slope -8x-3y=24

alexandr1967 [171]

First you add 8x on both sides and then you get -3y=8x+24 then you divide -3 on both side and you get y=-8/3x-8 so then the y intercept is 8 and the slope is -8/3. Hope this helped. Please click on the thanks button if this helped. If you have any questions or concerns please ask them down in the comments.

6 0

3 years ago

I NEED HELP PLS

Alisiya [41]

Answer:

114.5 in³

Step-by-step explanation:

Volume of cone:

⅓ × 3.14 × 8² × 12

= 803.84 cm³

Volume of hemisphere:

⅔ × 3.14 × 8³

= 1071.786667 cm³

Total = 803.84 + 1071.786667

= 1875.626667 cm³

1 cm = 0.393701 inches

1 cm³ = 0.393701³ inches

Volume in in³:

1875.786667/0.393701³

= 114.4579471 in³

7 0

3 years ago

Helppppp and explain tooo pls and thankyouuu

Nina [5.8K]

Answer:

--- ---

| -5 -2 |

| 4 12 |

--- ----

Step-by-step explanation:

A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions . To add two matrices, just add the corresponding entries, and place this sum in the corresponding position in the matrix which results.

6 0

3 years ago

Keegan deposits into her savings account at the beginning of the year. The account earns 3% simple interest each year. She has $

fiasKO [112]

Answer:

She deposits $350 into the account at the beginning of the year.

Step-by-step explanation:

Let us assume that Keegan deposits $P into her savings account at the beginning of the year.

The account earns 3% simple interest each year and she has $360.50 in her account at the end of the year.

If Keegan did not make any additional deposits or withdrawals during the year.

So, we can write that $P[1+\frac{3}{100} ]= 360.50$

⇒ P = $350 (Answer)

7 0

3 years ago