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ivolga24 [154]
3 years ago
8

Explain the connection between factors, solutions, and x-intercepts.

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

Factors can be set to zero in order to find the solutions, which are the x-intercepts on a graph.

ex:

x^2 + 4x - 4

(x + 2)(x + 2)

x+2=0

x=-2

x+2=0

x=-2

-2 would be the only x-intercept on the graph.

Someone correct me if I'm wrong, thank you

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table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x. x 0 1 2 3 4 g(x) -11 -10 -8 -4 4 Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g

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B) The number of volume of a cylinder is half of its number of the total surface area.
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Answer:

V=179.6cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

V=\pi r^2h

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and the surface area:

SA=2\pi r^2+2\pi rh

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

V=\frac{1}{2}SA

substitutig the equivalent expressions on each side:

\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)

and we simplify and solve for the height (since is the value we don't know of the cylinder):

\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)

we substitute the value of the radius r=7cm, and we get:

h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm

thus the volume is:

V=\pi r^2h

V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3

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