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2 years ago

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

Mathematics

2 answers:

Mashutka [201]2 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]2 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.

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What is the scale factor of ABC to ADEF?

kolbaska11 [484]

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2 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation 7 If

Juliette [100K]

Answer:

The required constant of variation is 4 and the equation is y=4xz over w (over meaning a fraction)

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Step-by-step explanation:

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1 year ago

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

vfiekz [6]

Answer:

$y=\frac{1}{2}x-5$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

$x-2y-x=6-x\\-2y=-x+6$

Divide both sides by -2

$y=\frac{1}{2} x-3$

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :

$y=\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\frac{1}{2}x+b$

Plug in the given point (-6,-8)

$-8=\frac{1}{2}(-6)+b\\-8=-3+b$

Add 3 to both sides to isolate b

$-8+3=-3+b+3\\-5=b$

Therefore, the y-intercept is -5. Plug this back into $y=\frac{1}{2}x+b$ :

$y=\frac{1}{2}x-5$

I hope this helps!

7 0

2 years ago

HELP ME!! plz? Combing like terms.

Bad White [126]

T: 8x+19

7x-2(4-2x)+6(5-x)-x+2-(6x+5) = 7x-8+2x+30+6x-x+2-6x-5 = 8x+19

Y: 56-8x

9-(-2-3x)+4(-x+6)-x+12-3(2x-3) = 9+2+3x-4x+24-x+12-6x+9 = 56-8x

5 0

2 years ago

A 16 inch candle is lit and burns at a constant rate of 1.1 inches per hour. Let t represent the never of hours that have elapse

Alex17521 [72]

Answer:

(a) Number of inches that have burned from the candle since it was lit is (1.1t) inches

(b) The remaining length of the candle is (16 - 1.1t) inches

Step-by-step explanation:

(a). Length of candle before it was lit = 16 inches

Constant rate at which at which candle burns = 1.1 inches per hour

Let t represent the number of hours that have elapsed since the candle was lit

In 1 hour, 1.1 inches of the candle burned

Therefore, in t hours, (1.1t) inches of the candle would have burned since the candle was lit

(b) Remaining length of candle = length of candle before it was lit - length of candle that have burned = 16 inches - 1.1t inches = (16 - 1.1t) inches

6 0

3 years ago