What is the solution to x-16=-12??

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Plus 16 on both side and negative 12plus 16 is 4 so x equals 4

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Find f(-2). 4 8 10 20

ICE Princess25 [194]

Answer:

The f(-2) is 20.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 6

We have to find the f(-2),

f(-2) = 2×(-2)^2 - 3×(-2) + 6

f(-2) = 8 - (-6) + 6

f(-2) = 8 + 6 + 6

f(-2) = 20.

3 0

3 years ago

Which of the following is an even function

nata0808 [166]

An even function is a function where positive and negative values of x give you the same result.

Where f(2) = f(-2) and f(3) = f(-3)

To formally check it, you need to evaluate f(-x) and see if you get the original function back.

Graphically, an even function is symmetrical over the y-axis.

The only graph here that does all of that is f(x) = |x|

7 0

3 years ago

The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at

Anna007 [38]

<h3>Answer: Choice B is correct</h3>

========================================================

Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\$

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

8 0

2 years ago

What are the missing angle measures in triangle ABC?

Finger [1]

we know that

In the right triangle ABC

∠ $A+$ ∠ $B=90$ ------> by complementary angles