The answer is -60. this is because the signs implemented in front of numbers give it a sort pattern .

when there are two additions the last number after the positive sign will give a positive number 1 greater than the initial number for example + 5 + 6. Answer afterward will be + 7 and for negative sign eg: - 7 - 8 in the question will give the answer -8 the same number after a negative (-) sign .
Hope this helps

4 0

2 years ago

Which of the following graphs best represents f(x) = −2 sin(4x) + 3?

Artist 52 [7]

The graph for f(x) = sin x is a sinusoidal graph.

f(x) = 2 sin 4x
has an amplitude of 2 or the highest point is 2 and a period of
Period = 3π/4 = π/3
f(x) = 2 sin 4x + 3
the graph is shifted 3 points upward.

3 0

3 years ago

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?

Zanzabum

Answer:

$\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}$

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

$f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}$

8 0

3 years ago