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4 years ago

What are the intercepts of the graphed function?

Mathematics

1 answer:

nadya68 [22]4 years ago

8 0

Answer

D) x-intercept = (–1, 0)

y-intercept = (0, –3)

Step by step explanation

x-intercept is nothing but where the curve cuts the x-axis, in x-axis the value of y is always zero.

Here the curve cuts the x-axis at x = -1, where y value is 0.

Therefore, the x-intercept = (-1, 0)

y-intercept is nothing but where the curve cuts the y-axis, in y-axis the value of x is always zero.

Here the curve/graph cuts the y-axis at y = -3, where x value is 0.

Therefore, the y-intercept = (0, -3)

The answer is

x-intercept = (–1, 0)

y-intercept = (0, –3)

Thank you.

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Write the equation of the line through the points (4,5) and (0,3)

taurus [48]

Answer:

y = 2x + 3

Step-by-step explanation:

y = ?x + 3

(0,2)

+4 +2

(4,5)

mx = 4/2 = 2

y = 2x + 3

hope this helps :)

6 0

3 years ago

Read 2 more answers

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that

xxMikexx [17]

Answer:

The projected world population in 2015 was 8,705,121,030 people.

Step-by-step explanation:

Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :

5,000,000,000 x 1.02 ^ (2015-1987) = X

5,000,000,000 x 1.02 ^ 28 = X

5,000,000,000 x 1.741024 = X

8,705,121,030 = X

Therefore, the projected world population in 2015 was 8,705,121,030 people.

4 0

3 years ago

A 4.00-kg box sits atop a 10.0-kg box on a horizontal table. The coefficient of kinetic friction between the two boxes and betwe

mamaluj [8]

Newton’s second law for the system of two boxes in the x-direction is given by:
F - f k = (m + M )a
F - µk (m + M )g = (m + M )a
⇒ a = (F/m + M) - µkg = (150N / (4kg+10kg)) - 0.6(9.8m/s² ) = 4.83m/s²

For the top box, we get fs = ma = 4kg x 4.83m/s² =19.3N

6 0

3 years ago

Help, Please!

Mnenie [13.5K]

Answer:

p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18

d(x) = (x - 2)

r = 0

f(x) = x⁵ - 10x³ + 9

Step-by-step explanation:

From the synthetic division given in the question,

Polynomial p(x) = x⁶- 2x⁵- 10x⁴ + 20x² + 9x - 18

Divisor d(x) = (x - 2)

After synthetic division of this polynomial by 2 we get the remainder,

r = 0

And the new polynomial f(x) that can be used further to find the other factors will be,

f(x) = x⁵ + (0).x⁴ + (-10)x³ + (0).x² + 9

f(x) = x⁵ - 10x³ + 9

3 0

3 years ago

How do I confirm that f and g are inverses?

Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

-----------------------------------------------------------------------------

g(f(x))

= g( $\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$ ) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

4 0

4 years ago