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2 years ago

Factor y=2x^2+10x+12

Mathematics

2 answers:

malfutka [58]2 years ago

7 0

Factorise the quadratic equation this way :)

Reptile [31]2 years ago

6 0

Answer:

y=2(x+2)(x+3)

Step-by-step explanation:

First, we need to factor the right side:

y=2(x^2+5x+6)

Now, we can have an incomplete equation like this:

y=2(x+_)(x+_)

In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!

So, our factored form is

y=2(x+2)(x+3)

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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

7 0

11 months ago

Simplify: 6-/18 - 3.450

grigory [225]

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

5 0

3 years ago

What is 4/7 of 70 apples

AlladinOne [14]

Answer:

40 apples

Step-by-step explanation:

4/7 of 70

1. rewrite in mathematical terms

4/7 * 70

2. solve

4/7 * 70

= 40

8 0

2 years ago

Sam, Maya, and John playing a match, Sam has Half of what Maya has, and maya has fewer than John with three points. Their points

Ksivusya [100]

so john is x and if Maya has the same as john but -3 then

x+x-3

but sam is still missing and she has half of Maya which is 0.5x - 1.5

so the equation is

x+x-3+0.5x-1.5=68

and then you add 3 and 1.5 to 68 which is

2.5x=72.5

and you divide by 2.5 which is 29

John has 29 points

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3 years ago

Farmer Jackson is filling orders for eggs from his chickens. He has one order from Jared’s Market Store for 64 eggs, and one ord

Anettt [7]

Answer:

B. A small carton holds 6 eggs, and a large carton holds 8 eggs

3 0

2 years ago

Read 2 more answers

Factor y=2x^2+10x+12​

Factor y=2x^2+10x+12