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3 years ago

Question 6 of 23 What is the slope-intercept equation of the line below?

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

I think its B , because if you connect the TWO dots forming a triangle its 3 up and 4 to the right making 3/4 as the slope and the Y intercept is 1 so y=3/4x +1

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I do not understand the 5 question.

WINSTONCH [101]

It is A because y=20x-5 and so it goes up and to the right

8 0

3 years ago

Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight time the number. What is zabato's

9966 [12]

Answer:

Zabato is thinking of 6

Step-by-step explanation:

I first set it up as an equation based on the word problem you have given me

(n + 10)3 = 8n

Distribute the 3

3n + 30 = 8n

Isolate n

3n - 8n +30 - 30 = 8n - 8n - 30

-5n = -30

-5n/-5 = -30/-5

n = 6

To check replace 6 with n

(6 + 10)3 = 8 (6)

(16)3 = 48

48 = 48

5 0

3 years ago

I need help with 11 and 12

Yakvenalex [24]

Answer:

Both are inverse pairs

Step-by-step explanation:

Question 11

$g(x)= 4 + \dfrac{8}{5}x$

(a) Rename g(x) as y

$y = 4 + \dfrac{8}{5}x$

(b) Solve for x :

$\dfrac{8}{5}x = y - 4$

(c) Multiply each side by ⅝

$x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}$

(d) Switch x and y

$y = \dfrac{5}{8}x - \dfrac{5}{2}$

(e) Rename y as the inverse function

$g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}$

(f) Compare with your function

$f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)$

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

Question 12

h(x)= x - 2

(a) Rename h(x) as y

y = x - 2

(b) Solve for x:

x = y + 2

(c) Switch x and y

y = x + 2

(e) Rename y as the inverse function

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

5 0

3 years ago

Calculate the area of the quarter circle estimate using 3.14 for pi

mars1129 [50]

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Area of a quarter circle is given by the formula:

$Area = \frac{\pi r^2}{4}$

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π = 3.14

Substitute π = 3.14 and r = 3 into the formula $Area = \frac{\pi r^2}{4}$

$Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2$

The area of the quarter circle with radius 3ft is $7.065 ft^2$

Learn more here: brainly.com/question/25843249

6 0

3 years ago

Which is greater 1/4 or 3/4

grigory [225]

<span>If we are to compare which among the given fractions is smaller, we first determine the decimal equivalent of each. If we are to solve for those, we determine that 3/4 is equal to 0.75 and 1/4 is equal to 0.25. This is done by dividing the numerator by the denominator. Comparing 0.75 and 0.25, we can conclude that 0.75 or 3/4 is greater compared to 0.25 or 1/4. </span>

5 0

3 years ago