Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.
Step-by-step explanation:
Tn=ar^(n-1)
r=-10/-5=2
a=-5
Tn=-5×(2)^(n-1)
Tn=-5•(2)^(n-1)
an=5•(2)^(n-1)
The white Christmas tree is 7.55m
Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m
High golden Christmas tree: 15.1m - 0.454m = 14.646m
The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m
Choose: A 37.296m
Answer:
Step-by-step explanation:
The carving was made from a scale model with a scale of 1 inch = 1 foot. This means that one foot on the actual carving is represented by one inch on the model. So the model is smaller than the actual carving.
On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long.
We would convert the 1 foot on the model to inches because the model is represented in inches
12 inches = 1 foot
This means that on the model, Teddy Roosevelt's mustache was 12 inches by 8 inches long. Therefore,
Teddy Roosevelt's mustache was 12 feets by 8 feets long on the monument or carving
Answer:
f(x) = (x -(-3))(x -(-4))
Step-by-step explanation:
The function can be written as the product of binomial terms whose values are zero at the given zeros.
(x -(-3)) is one such term
(x -(-4)) is another such term
The product of these is the desired quadratic function. In the form easiest to write, it is ...
f(x) = (x -(-3))(x -(-4))
This can be "simplified" to ...
f(x) = (x +3)(x +4) . . . . simplifying the signs
f(x) = x^2 +7x +12 . . . . multiplying it out