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julsineya [31]
3 years ago
13

Translate into algebraic expression and simplify: ''Ten times the sum of a number and three'' b) nine substracted from twice a n

umber''
Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Step-by-step explanation:

a)\\n-\text{the number}\\\\\text{Ten times the sum of a number and three:}\\\\\boxed{10\times(n+3)=10(n+3)}\\\\b)\\n-\text{the number}\\\\\text{Nine substracted from twice a number}:\\\\\boxed{2n-9}

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When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a
djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

<span>As there’s no direct way to find x, we can use the <span>Bhaskara formula:</span></span>

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) <span> + 75 = </span>-78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.


Window x = [ -15, 0] y = [ -78.125, 75]
5 0
3 years ago
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Answer:

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3 years ago
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I hope this helps you

3 0
2 years ago
The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there.
FrozenT [24]
There are 222 boys in the class. You find this by dividing 185 by 5 which gets you 37, so you have to multiply the 6 by 37 to find the amount of boys.
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3 years ago
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K(x)=6x-12; k(x)=18<br> please help idk what the answer is
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Ok so you would plug in 18 for the x so it would be 6(18)-12 and then 6x18 is 108 and 108-12=96 so your answer is 96
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