Answer:
y=4x-5.
Step-by-step explanation:
slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;
1) to find value of k:
if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;
2) to find the value of 'b':
if to substitute the given coordinates into the equation of the given line, then:
15=4*5+b, b= -5.
3) finally, y=4x-5
What expression is equivalent to 3x + 14 + 3x + 10.
The answer is 6x+ 24
9514 1404 393
Answer:
a = -2, h = 2, k = 1
Step-by-step explanation:
Compare the expressions. Match one pattern to the other.
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The transformations are ...
Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.
Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.
A table and graph are shown in the attachment.
Answer:
Step-by-step explanation:
The derivative of your function is ...
y' = dy/dx = 2e^(2x) +6
At x=0, the value is ...
y'(0) = 2e^0 +6 = 8
dy = 8·dx
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Δy = y'(0)·Δx
Δy = 8(.03)
Δy = 0.24
Answer:
A, C, E, F, G
Step-by-step explanation:
let's actually solve the inequality -7x+14>-3x-6:
Adding 7x to both sides simplifies the inequality to 14> 4x-6.
Adding 6 to both sides isolates 4x: 20 > 4x.
Finally, dividing both sides by 4 yields 5 > x, or x < 5.
We must now determine which of the possible solutions A-G are less than 5:
A, C, E, F, G
