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GrogVix [38]
3 years ago
13

The ratio of boys to girls in Fiona's class is

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Ratio of boys to girls = 1 : 3

Unknown constant = x

x + 3x = 24

4x = 24

x = 6

No. of girls = 3 x 6 = 18

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your answer would be A. I would hope this is right

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What situation should be used to rewrite 16(x^3+1)^2 -22(x^3+1)-3=0 as a quadratic equation
Oliga [24]
16(x^3+1)^2-22(x^3+1)-3=0

Use substitution:  x^3+1=t

16t^2-22t-3=0\\\\16t^2-24t+2t-3=0\\\\8t(2t-3)+1(2t-3)=0\\\\(2t-3)(8t+1)=0\iff2t-3=0\ \vee\ 8t+1=0

2t-3=0\ \ \ |+3\\\\2t=3\ \ \ |:2\\\\t=\dfrac{3}{2}\\..............................\\8t+1=0\ \ \ \ |-1\\\\8t=-1\ \ \ \ |:8\\\\t=-\dfrac{1}{8}

we're going back to substitution:

x^3+1=\dfrac{3}{2}\ \vee\ x^3+1=-\dfrac{1}{8}\ \ \ \ |subtract\ 1\ from\ both\ sides\ of\ the\ equations\\\\x^3=\dfrac{1}{2}\ \vee\ x^3=-\dfrac{9}{8}\\\\x=\sqrt[3]{\dfrac{1}{2}}\ \vee\ x=\sqrt[3]{-\dfrac{9}{8}}


x=\dfrac{1}{\sqrt[3]2}\ \vee\ x=-\dfrac{\sqrt[3]9}{2}\\\\\boxed{x=\dfrac{\sqrt[3]4}{2}\ \vee\ x=-\dfrac{\sqrt[3]9}{2}}

4 0
3 years ago
The equation f(x) = x – 5 translated 4 units to the left is g(x) = ?
muminat

Answer:

g(x)=(x+4)-5

Step-by-step explanation:

I don't explain well but bascially translated to the left is adding 4 in the x with a paranthesis. Right is negative

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Read 2 more answers
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Use the Pythagorean Theorem. 80 ^{2} = 42^{2} + x^{2} What do you think the answer is?
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Answer:

8r^{3} - 6r

Step-by-step explanation:

2r(4r^2-3)

= 8r^{3} - 6r

5 0
3 years ago
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