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3 years ago

Use the table to identify values of pand a that can be used to factor

Mathematics

2 answers:

Mashutka [201]3 years ago

8 0

Answer:

D. -3 and 4

Step-by-step explanation:

-12 = -3 x 4

-3 + 4 = 1

x^2 + x - 12

= (x - 3)(x + 4)

Answer

D. -3 and 4

BartSMP [9]3 years ago

6 0

ANSWER

D. -3 and 4

EXPLANATION

The given quadratic trinomial is

${x}^{2} + x - 12$

To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.

We can see from the table that, when p=-3 and q=4, then p+q =1.

The trinomial can now be factored as:

${x}^{2} + x - 12 = (x - 3)(x + 4)$

The correct answer is D.

You might be interested in

five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find

ratelena [41]

Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0

3 years ago

Help I’m almost out of time

VladimirAG [237]

Answer: First option.

Step-by-step explanation:

You can idenfity in the figure that $\angle FCE$ is formed by two secants that intersect outside of the given circle.

It is important to remember that, by definition:

$Angle\ formed\ by\ two\ Secants=\frac{1}{2}( Difference\ of\ intercepted\ Arcs)$

Knowing this, you can set up the following equation:

$m\angle FCE=\frac{1}{2}(BD-FE)$

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle $\angle FCE$ .

This is:

$m\angle FCE=\frac{1}{2}(112\°-38\°)\\\\m\angle FCE=37\°$

6 0

3 years ago

Please help extremely confused

svetlana [45]

Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

8 0

2 years ago

Which operation would help solve for y?<br>3 + y = 27

jeyben [28]

Answer:

y =24

Step-by-step explanation:

very simple and direct, just combine the like terms and subtract 3 from 27

and that is the value of your y.

solution

3 + y = 27

y = 27 -3

y =24

4 0

3 years ago

I added the question and the example for reference. Please help! whoever is correct i will give brainliest!

Musya8 [376]

Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

3 0

2 years ago