All categories

2 years ago

Can you show the work for (4x-4)(x-4)

Mathematics

1 answer:

Paladinen [302]2 years ago

6 0

Answer:

4x² - 20x + 16

Step-by-step explanation:

Given

(4x - 4)(x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x - 4) - 4(x - 4) ← distribute both parenthesis

= 4x² - 16x - 4x + 16 ← collect like terms

= 4x² - 20x + 16

You might be interested in

The fox population in a certain region has a relative growth rate of 4% per year. It is estimated that the population in year 20

den301095 [7]

Answer:

a) $P(t) = 17900e^{0.04t}$

b) The population estimated in 2008 is of 24651.

Step-by-step explanation:

The population growth model may be given by the following exponential function:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

(A.) Find a function that models the population t years after 2000 (t=0 for 2000)

We have that:

$P_{0} = 17900, r = 0.04$ . So

$P(t) = P_{0}e^{rt}$

$P(t) = 17900e^{0.04t}$

(B.) Use the function from part A to estimate the fox population in the year 2008.

2008 is 8 years after 2000. So:

$P(8) = 17900e^{0.04*8} = 24650.5$

The population estimated in 2008 is of 24651.

3 0

2 years ago

Given the diagram below, what is cos 45

Mamont248 [21]

Hey

Your answer is pretty simple

1/√2
Don't forget to mark Brainliest :^)

5 0

2 years ago

i haven't submitted a single assignment for this class since winter break bc i didn't realize she was assigning things on goform

rosijanka [135]

Answer and Step-by-step explanation:

Trigonometric Function (These only work for right triangles):

SOH-CAH-TOA

S = Sine = sin

C = Cosine = cos

T = Tangent = tan

O = Opposite (side)

H = Hypotenuse (side)

A = Adjacent (side)

SOH = sin(angle) = $\frac{opposite}{hypotenuse}$

CAH = cos(angle) = $\frac{adjacent}{hypotenuse}$

TOA = tan(angle) = $\frac{opposite}{adjacent}$

1. sinQ (Q is the angle) = $\frac{14}{50} = \frac{7}{25} = 0.28$

Use Pythagorean Theorem to find side PQ. $14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48$

2. cosQ = $\frac{48}{50} = \frac{24}{25} = 0.96$

3. tanQ = $\frac{14}{48} = \frac{7}{24} = 0.29$

3 0

2 years ago

You pick a card at random. What is P(even or prime)? Write your answer as a percentage.

Nataly [62]

The answer is 50 percent because there is a 2/4 x 100 chance

6 0

1 year ago

O A PQR is reflected over the x-axis. What are the coordinates of O'?

topjm [15]

Answer:

(8,-2)

Step-by-step explanation:

When reflecting something across the X axis the y axis coordinate is the one that will change to put the position further up or down. In this case we are moving it down to the same amount below the axis that it is now above it. That means that since it is currently 2 above the X axis it would then be 2 below the X axis making it at -2 so the coordinates would be (8,-2)

I hope this helps and please don't hesitate to ask if there is anything still unclear!

7 0

2 years ago

Read 2 more answers