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Dafna1 [17]
3 years ago
15

Identify the factors of x2 − 4x − 12. (1 point)

Mathematics
2 answers:
GalinKa [24]3 years ago
7 0
X² - 4x - 12 = 
x² + 2x - 6x - 12 =
x(x + 2) - 6(x + 2) = 
(x + 2)(x - 6)
Jet001 [13]3 years ago
7 0

Answer:

D. (x-6)(x+2)

Step-by-step explanation:

We have been given a polynomial x^2-4x-12. We are asked to find the factors of our given polynomial.

We will use splitting the middle term format of factoring quadratic polynomial.

We need two numbers, whose product is -12 and whose sum is -4. Such two numbers are  -6\text{ and }2.

x^2-6x+2x-12

(x^2-6x)+(2x-12)

Factor out GCF of each group:

x(x-6)+2(x-6)

(x-6)(x+2)

Therefore, factors of our given expression are (x-6)(x+2) and option D is the correct choice.

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The answer is 80. This is because we can find the area of one of the triangles by (4*8)/2 = 16. We multiply this by 4 since there are 4 triangles. 16*4 = 64. Now finally, we add the area of the base to this value. 4*4+64=80. Therefore the answer is 80 cm^2
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3 years ago
Find the part what is 160% of 13.7
lidiya [134]
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5 0
3 years ago
Write an inequality for the shaded region shown in the figure.​
Snezhnost [94]

Answer:

y ≥  x^2 - 1

Step-by-step explanation:

First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)

Then:

y ≥ a*x^2 + b*x + c

where a*x^2 + b*x + c is the general quadratic equation.

Now let's find the equation for the parabola:

f(x) = a*x^2 + b*x + c

We also can see that the vertex of the parabola is at the point (0, -1)

This means that:

f(0) = -1 = a*0^2 + b*0 + c

     = -1 = c

then we have that c = -1

Then:

f(x) = a*x^2 + b*x - 1

Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1

Which means that:

f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1

f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1

Then we got two equations:

a + b - 1 = 0

a - b - 1 = 0

from this we can conclude that b must be zero.

Then:

b = 0

and these equations become:

a - 1 = 0

a - 1 = 0

solving for a, we get:

a = 1

Then the quadratic equation is:

f(x) = 1*x^2 + 0*x - 1

f(x) = x^2 - 1

And the inequality is:

y ≥  x^2 - 1

8 0
3 years ago
In one month you earned $100 delivering newspapers if you deposit the money in a savings account with a simple interest rate of
saw5 [17]

In 6 months, Simple interest of $6 will be earned for investing $100.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Principal (P) = $100, SI rate (R) = 12%, Time (T) = 6 months = 0.5 years

Step 2:

Calculate Simple Interest by the formula SI = PRT/100

⇒ SI = 100 × 12 × 0.5/100

⇒ SI = $6

6 0
3 years ago
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