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3 years ago

The function g(x)= x^2+3. The function f(x) = g(x+2).

Mathematics

1 answer:

emmasim [6.3K]3 years ago

5 0

so you would siplify it and it would come out to: f(x)=g(2).

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What is the value of the x-coordinate of the vertex of the function shown

lakkis [162]

The answer is x=-2

As you could see, this is a factored function.

The un-factored version is x^2+4x-12

-b/2a=x

-4/2=-2= x of vertex

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2 years ago

Bentley is at Sasha’s birthday party where there are 10 girls and 12 boys waiting for a turn to bob for apples. Sasha’s mom will

klio [65]

Answer:

The probability that Bentely will be selected first = 0.046

Step-by-step explanation:

The person will be randomly selected, it is not stated that sex is considered in the selection.

The total number of people present at the party = 10 + 12 = 22

The probability that Bentely will be selected first = 1/22

The probability that Bentely will be selected first = 0.046

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3 years ago

Find the distance from P to l.

ki77a [65]

$Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\$

$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

4 0

3 years ago

1/5x-2/3y=30<br> What is the value of the x in the equation when y=15

svetlana [45]

Answer:

$\frac{1}{5} x - \frac{2}{3} y = 30 \\ \frac{1}{5} x - \frac{2}{3} 15 = 30 \\ \frac{1}{5} x - \frac{30}{3} = 30 \\ \frac{1}{5} x - 10 = 30 \\ \frac{1}{5} x = 30 + 10 \\ \frac{1}{5} x = 40 \\ x = 40 \div \frac{1}{5} \\ x = 40 \times \frac{5}{1} \\ x = 40 \times 5 \\ x = 200$

I hope I helped you^_^

8 0

2 years ago

Read 2 more answers

3/8 of {38/5-1/3{5/4+10/3}×12/5

boyakko [2]

Answer:

1863/275=6.7745recurring

Step-by-step explanation:

Dont u have a calculator

8 0

3 years ago