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2 years ago

Multiply the following and combine terms where possible. -a(a-b-3)

Mathematics

1 answer:

Scrat [10]2 years ago

6 0

Answer:

-a^2 +ab +3a

Step-by-step explanation:

-a(a-b-3)

Distribute

-a*a -a*(-b) -a *(-3)

-a^2 +ab +3a

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You have 15 dollars and earn 50 more dollars doing chores. You then go to the store to buy a shirt for 10 dollars. How much mone

Sonbull [250]

50 + 15= 65-10= $55 left

4 0

3 years ago

Read 2 more answers

Find the exponential function that passes through the points (2,80) and (5,5120)

juin [17]

Answer:

y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

y1 = a·b^(x1)

y2 = a·b^(x1)

Divide the second equation by the first:

y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

(y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

a = y1/(b^(x1))

In summary:

b = (y2/y1)^(1/(x2 -x1))
a = y1·b^(-x1)

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

b = (5120/80)^(1/(5-2)) = ∛64 = 4

a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

y = 5·4^x

3 0

2 years ago

Someone help please.

AnnyKZ [126]

Answer:

Translation (the +5)

Dilation (the x 4)

Compression (the 3 to 1/3, and the x to 2-x)

Step-by-step explanation:

Brainliest, please!

5 0

3 years ago

A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an

leva [86]

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

$A=P(1+\frac{r}{n} )^{nt}$

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

$A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20$

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

3 0

3 years ago

Due to conservation efforts, the gray whale has been removed from the endangered species list. There are now 13,000 in the world

brilliants [131]

Answer:

$P = 13,000(1.11) ^ t$

Step-by-step explanation:

This scenario can be modeled using an exponential growth equation.

The exponential growth equations have the following form:

$P = p (1 + r) ^ t$

Where P is the population in year t

p is the initial population at t = 0

r is the growth rate

t is the time in years.

In this case we know that the current population is 13,000 and that the growth rate is 11%

$p = 13,000\\r = 0.11$

The equation that models this scenario is:

$P = 13,000(1 + 0.11) ^ t$

$P = 13,000(1.11) ^ t$

4 0

2 years ago