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3 years ago

Please helppp me !!!

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Answer:

Step-by-step explanation:

Subtracting and adding functions is actually super intuitive. As a super simple example, if you had f(x)=5+x and g(x)=3 then (f-g)(x) = 5+x-3 = 2+x.

So you basically just add or subtract any like terms. So now with your two functions we can hopefully figure it out. let me know if there's anything you don't understand.

f(x) = x^2+2x-6

g(x) = x+5

(f-g)(x) = (x^2+2x-6) - (x+5) When subtracting you have to distribute the minus sign to the second function so -(x+5) becomes -x-5

(f-g)(x) = x^2+2x-6-x-5 So there's 2x-x and -6-5 which are x and -11

x^2+2x-6-x-5 = x^2+2x-x-6-5 = x^2+x-11

So that's the answer.

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The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone. What is the v

Anastasy [175]

Answer:

97.6 cm³

Step-by-step explanation:

Volume of plastic object :

Volume of cylinder - volume of cone

From. The diagram. :

Radius, r = diameter /2 = 4/2

Volume of cylinder = pi*r²h

V = 22/7 * 2² * 8 = 100.53096 cm³

Volume of cone = 1/3*pi*r²h

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V = 2.9321531 cm³

(100.53096 - 2.9321531) cm³

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5 0

3 years ago

The maximum afternoon temperature in Granderson is modeled by t=60-30 cos (x<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="T

kicyunya [14]

The equation is $t=60-30 cos (x \frac{\pi}{6})$

the -30 expression, is subtracting, if negative, from the 60
if the cosine returned is negative, you'd end up with a +30,
negative * negative = positive

and then the 30 expression will ADD to the 60 amount
so the temperature "t" is highest, when the 30 expression, is
positive and and it's highest

when does that happen, when cosine is negative and at its highest,
well, cosine range is $-1\le cos(\theta ) \le 1$
so the lowest value cosine can provide is -1, when is cosine -1?
well, at $\pi$

so... let's find a value that makes that expression to $cos(\pi)$

$\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=6
\\\\
thus
\\\\
t=60-30 cos (6 \frac{\pi}{6})\implies t=60-30 cos (\pi )
\\\\
t=60-30[-1]\implies t=60+30\implies t=90$

----------------------------------------------------------------------------------------
so...for August, that'll mean

$\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=7
\\\\
t=60-30 cos (\frac{7\pi}{6})\implies t=60-30\left( -\cfrac{\sqrt{3}}{2} \right)
\\\\
t=60+(15\cdot \sqrt{3})\implies t\approx85.98^o$

4 0

3 years ago

In a batch of 960 calculators, 8 were found to be defective. What is a probability that a calculator chosen at random will be de

DaniilM [7]

Out of 960 calculators, 8 were found be to defective

Probability:
$\frac{8}{960}$
0.00833...
As a Percent:
0.00833....× 100
0.833%
To the nearest tenth of percentage:
0.833% ≈ 0.8%

8 0

4 years ago

Read 2 more answers

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = $(1\frac{1}{2})x$