The table represents the linear function f(x), and the equation represents the linear function g(x).

Mathematics

2 answers:

Eva8 [605]2 years ago

8 0

9514 1404 393

Answer:

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:

The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.

The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.

The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

xxMikexx [17]2 years ago

8 0

Answer:

Step-by-step explanation:

i cant figure out

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julia-pushkina [17]

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2 years ago

Find f(t – 3) for f(x) = 4x2 – 8x + 4.

GarryVolchara [31]

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

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5 0

2 years ago

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

dezoksy [38]

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

$\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})$