Answer:
C and D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m =
=
= 
Using (a, b ) = (9, 3 ) , then
y - 3 =
(x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) =
(x - (- 3) ) , that is
y + 6 =
(x + 3) → D
Answer:
B. f(-4) = g(-4), and f(0) = g(0)
Step-by-step explanation:
We are given two functions that have been graphed already. The points on the coordinate plane where the curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).
Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.
Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.
Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)
Answer:
<em>Here</em><em> </em><em>is</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em>
Step-by-step explanation:
<em>PLEASE</em><em> </em><em>THANK</em><em>,</em><em> </em><em>RATE</em><em> </em><em>AND</em><em> </em><em>FOLLOW</em><em> </em><em>ME</em><em>,</em>
<em>AND</em><em> </em><em>PLEASE</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>"</em><em>BRAINLIEST</em><em>"</em><em> </em><em>ANSWER</em><em> </em>
<em>HOPE</em><em> </em><em>IT</em><em> </em><em>HELPS</em><em> </em><em>YOU</em><em> </em>
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.