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2 years ago

Which represents the inverse of the function f(x) = 4x?

Mathematics

2 answers:

Licemer1 [7]2 years ago

3 0

Answer:

The inverse is 1/4x

Step-by-step explanation:

y = 4x

To find the inverse, exchange x and y

x = 4y

Solve for y

1/4 x = 4y/4

1/4x = y

The inverse is 1/4x = y

aliina [53]2 years ago

3 0

Answer:

y = x/4

Step-by-step explanation:

y = 4x

x = 4y

y = x/4

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Which number line shows the solution set for the inequality -4x+7>15

Ira Lisetskai [31]

First, let's simplify the inequality as much as we can:

-4x + 7 > 15
-4x > 8

Divide by -4:
x < -2

3 0

2 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

3 years ago

___ tens 15 ones=4 tens 5 ones

saw5 [17]

Answer:

3 tens

Step-by-step explanation:

4 tens and 5 ones is 45

so 45 minus 15 is 30

so 3 tens

3 0

3 years ago

The picture is what I need help with i don’t get it

Allisa [31]

Given:

Find: interval notation of the given number line.

Explanation:

$[-4,\infty)$

is the interval notation for the given number line.

6 0

11 months ago

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He not

NISA [10]

Answer:

3/8 bucket

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

<u>To find the amount of nuts that fills entire basket we can put this as:</u>

1/4 bucket → 2/3 barrel
x bucket → 1 barrel

<u>Use cross-multiplication to find the value of x:</u>

x×2/3 = 1×1/4
x = 1/4 ÷ 2/3
x = 1/4×3/2
x = 3/8 bucket

PART B

Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.

6 0

2 years ago