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ludmilkaskok [199]

3 years ago

11

Solve each inequality below. Then check the 2 inequalities that have the same solution (one is in column 1, the other is in colu

mn 2)

1 answer:

Semmy [17]3 years ago

3 0

Answer:

Step-by-step explanation:

brainly.com/question/22157981

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Factorise x squared + 4x + 3

olganol [36]

<h3>Answer: (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

add to 4
multiply to 3

There are two ways to multiply to 3 and they are

1 times 3 = 3
-1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

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3 years ago

Theo has a balence of $-4 in his savings account. After making a deposit, he has $25 in his account.What is the overall change t

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The has a +$29 change in his account

6 0

3 years ago

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

Anettt [7]

Answer:

1) The size of the colony after 4 days is 6553 mosquitoes

2) After $t = 4.9\ days$

Step-by-step explanation:

To answer this question you must use the growth formula

$N = N_0e ^ {kt}$

Where

$N_0$ is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and $N_0=1000$ then N = 1600

Then we use these values to find k.

$1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47$

Now that we know k we can find the size of the colony after 4 days.

$N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes$

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

$10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days$

6 0

3 years ago

a bus is traveling at a constant speed.if the bus is 15 1/2 miles in 1/3 of an hour. how many miles will the bus travel in one h

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Answer:

A

Step-by-step explanation:

A

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2 years ago

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A kangaroo hops 2 kilometers in 4 minutes. How far can the Kangaroo hop in 10 minutes?

Artyom0805 [142]

Answer:

5 km

Step-by-step explanation:

10/4 = 2.5

2 x 2.5 = 5

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3 years ago

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