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Y_Kistochka [10]
3 years ago
9

In a school, for every 5 boys there are12 girls. if there are 300 gilrs how many boys are there?

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0
U would divide 300 by 5 which is 79.8
andrezito [222]3 years ago
4 0
The answer is 125 boys 125:300
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3ab (2ab + 2a -b )-2a (2ab -2b +a )
sp2606 [1]
<span> a • (6ab2 + 2ab - 2a - 3b2 + 4b) </span>

Step by step solution :<span>Step  1  : 
</span><span>Equation at the end of step  1  :</span> (3ab • (2ab + 2a - b)) - 2a • (2ab + a - 2b) <span>Step  2  :</span><span>Equation at the end of step  2  :</span> 3ab • (2ab + 2a - b) - 2a • (2ab + a - 2b) <span>Step  3  :</span><span>Step  4  :</span>Pulling out like terms :

<span> 4.1 </span>    Pull out like factors :

  <span> 6a2b2 + 2a2b - 2a2 - 3ab2 + 4ab</span>  = 

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Final result :<span> a • (6ab2 + 2ab - 2a - 3b2 + 4b)</span>
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kykrilka [37]
15+8=23, i think is the answer
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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) The function’s equation written in factored form is equal to

f(x)=2x(x-4)

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

f(x)=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

f(x)=a(x-2)^2-8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2

therefore

The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

f(x)=a(x-0)(x-4)

f(x)=ax(x-4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

-8=a(2)(2-4)\\-8=-4a\\a=2

therefore

The function’s equation written in factored form is equal to

f(x)=2x(x-4)

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3 years ago
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Answer + Step-by-step explanation:

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\text{used property :} \  \  \  \frac{a^{m}}{a^{n}} =a^{m-n}

_______________________

(4^8)^3 = a^{8 \times 3}=a^{24}

\text{used property :} \  \  \  (a^n)^m = a^{n \times m}

_______________________

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_______________________

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_______________________

<u>Recall</u> : If a ≠0  ⇒ a⁰ = 1

Then

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