Answer:
10.) y = -5x + 7
12.) y = 3/2x - 8
Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.
10.)
2 = -5(1) + b.
2 = -5 +b
b = 7
therefore...
y = -5x + 7
12.)
2(-5) = 3(2) + b
-10 = 6 + b
b = -16
therefore...
2y = 3x - 16
simplified:
y = 3/2x - 8
The end behavior of the function is the one in option C.
<em>"One end increases and one end decreases"</em>
<h3>
What can we say about the end behavior?</h3>
Here we have the function:
f(x) = -ln(2x) + 4.
Remember that for the natural logarithm, as x tends to zero the function tends to negative infinity.
And as x tends to infinity, the natural logarithm tends to infinity.
So, for our function where we have a negative sign before the logarithm, as x tends to zero the function tends to infinity and as x tends to infinity the function tends to zero.
Then the correct option is C:
<em>"One end increases and one end decreases"</em>
If you want to learn more about end behaviors:
<em>brainly.com/question/1365136</em>
<em>#SPJ1</em>
Answer:
The answer is D
Step-by-step explanation:
Reorder the terms
Calculate
Use the properties of exponents
Therefore, the answer is c^6 d^12 e^4 or D
Answer:
6075
Step-by-step explanation:
- Given series is: 25 + 30 + 35 + ⋯ + 245.
- Here, first term (a) = 25
- Common difference (d) = 5
- Last term
- First we find the number of terms that this series has by the following formula:
- Plugging the values of a, d and
, we find.
- Thus, the given series contains 45 terms.
- Next, we find the sum of the given series using the formula given below.
