Answer:
y=4x+7
Step-by-step explanation:
4x+y=7
Isolate one of the variables
4x-4x+y=7+4x
y=7+4x
slope is 4 (Up 4, Right 1)
y-intercept is (0,7)
The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>
How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:

You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:

So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
he bought 60 stamps
Step-by-step explanation:
6*5=30
30*2=60
Answer:
A and B
Step-by-step explanation:
using the law of exponents
•
=
, hence
=
→ A
note that (- 3)² = 9 = 3², hence
= (3²)³ =
→ B
The sum of adjacent sides is half the perimeter, so is 25 cm. Since the side lengths are consecutive numbers, they are both nearly half of 25 cm. One side is 12 cm, the other is 13 cm.
These lengths, then, are one leg and the hypotenuse of the right triangle that makes up half the parallelogram. The other leg, the altitude, is found using the Pythagorean theorem (or your knowledge of Pythagorean triples). It is
... altitude = √((13 cm)² -(12 cm)²) = √(25 cm²) = 5 cm
The length of the altitude is 5 cm.