All categories

3 years ago

Mike compared the y-intercept of the graph of the function

Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

Answer:

(the answer is • -4)

...

aleksklad [387]3 years ago

4 0

Answer:

-4

Step-by-step explanation:

Given function

f(x) = 5x + 12

From the table we get the function g(x), use pairs (1, 10) and (3, 14)

The slope:

m = (14 - 10)/(3 - 1) = 4/2 = 2

The y-intercept:

10 = 2(1) + b
b = 10 - 2
b = 8

The function g(x) is found as:

g(x) = 2x + 8

The y- intercept of f (x) is subtracted from the y-intercept of g (x):

8 - 12 = -4

You might be interested in

What is the remainder of 3,368,008 divided by 5574

zheka24 [161]

The answer is 604.235378543

4 0

3 years ago

Read 2 more answers

All factors of x cubed minus 6x squared plus 11x minus 6

miv72 [106K]

Answer:

Step-by-step explanation:

x³-6x²+11x-6

put x=1

1³-6×1²+11×1-6=1-6=11-6=0

by synthetic division

1| 1 -6 11 -6

| 1 -5 6

|----------------

| 1 -5 6 |0

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3(x-2)=0

(x-2)(x-3)=0

x=1

x-1=0

so x³-6x²+11x-6=(x-1)(x-2)(x-3)

6 0

3 years ago

Consider the rectangular prism below.

Radda [10]

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

4 0

3 years ago

A triangle has side lengths of 13 in, 29 in, and 30 in. Classify it as acute, obtuse, or right.

kenny6666 [7]

Acute

Angle ∠ A = α = 25.385° = 25°23'6″ = 0.443 rad

Angle ∠ B = β = 73.004° = 73°14″ = 1.274 rad

Angle ∠ C = γ = 81.611° = 81°36'41″ = 1.424 rad

8 0

3 years ago

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

4 0

3 years ago