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GenaCL600 [577]
3 years ago
12

If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

f(x) - g(x)

= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL

= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1

= 2x² - 4x - 3 - x² + 16 ← collect like terms

= x² - 4x + 13 → B

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist
Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

8 0
3 years ago
What is the answer for number 12
GalinKa [24]
(3*4)+(1*7)/7*4 = 12+7/28 = 19/28

your answer is 19/28
4 0
3 years ago
Read 2 more answers
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)? A. y + 7 = -4(x - 1)
Nana76 [90]

In general point-point form, the equation for the line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

Here we have (a,b)=(-1,7) and (c,d)=(-2,3)

(-2 - -1) (y - 7) = (3 - 7)(x - -1)

-1(y - 7) = -4(x+1)

y - 7 = 4 (x+1)

Answer: Choice D

3 0
3 years ago
The tolerance for a plank of wood at a factory is 3 yd + 0.002 yd. Which of the following
Jet001 [13]

Answer:

3.012 Yards

If that is an answer choice (which I suppose it is, as I have the sme question).

I will explain why:

Firstly the answer choices (A: 2.998, B. 3.001, C: 2.999) all fall below 3.002 yards, even though they aren't enough, it is still within a reasonable range, far closer to 3.002 than 3.012. Therefore, It would be your answer!~

3 0
3 years ago
The complement of an angle is 35 degrees what is the measure of the angle?
Naily [24]

Complementary angles add up to 90 degrees.

The complement angle to 35 is:

90 - 35 = 55 degrees.

The answer is D.

4 0
3 years ago
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