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3 years ago

6

Simplify: x2 + 5x + 6(x + 3) x 42x + 4 4 2 2(x + 2) (x + 2)

2 answers:

umka2103 [35]3 years ago

8 0

252xsquared + 763x +4

Andreyy893 years ago

5 0

252x squared + 763x + 4

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2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girl

Masja [62]

2/5 are girls, therefore 3/5 are boys

3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16

Altogether = 16 + 24 = 40

24 - 1 6 = 8

There are 40 children altogether
There are 8 more boys than girls.

5 0

3 years ago

Read 2 more answers

For each exponential function, a) write a new function, and b) sketch the corresponding graph (on the same coordinate plane) bas

Luda [366]

A reflection over the y-axis means that "x" will change signs.

A dilation causes the graph to stretch (if the factor is greater than 1) or shrink/compress (if the factor is between 0 and 1). Usually, the instructions will say whether it is a vertical or horizontal stretch (or shrink) so you know which variable is affected. Since it was not specified, I am going to assume that this is both a vertical and a horizontal shrink.

Answer: y = $\frac{1}{2}$ ( $4^{-2x}$ )

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3 years ago

Susie is participating in a bake sale for a fundraiser. She baked 8 pies to sell. Two pies weigh 105 g each, one pie weighs 106

MAVERICK [17]

Answer:

105.25 g

Step-by-step explanation:

The average weight is the sum of the weights divided by the number of pies.

(105 + 105 + 106 + 108 + 108 + 103.5 +102 +104.5) / 8

= 105.25

3 0

3 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

So

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

2 years ago

a car salesperson earns a $500 fee per car she sells.if she sells 4 cars in one day,how much money does she earn in fee?

serg [7]

Hi Chandlermatos13,

To find the answer to your problem we would need to multiply. $500 x 4 would be $2,000.

Your answer is $2,000

Hope this helps

Cupkake~

4 0

3 years ago