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3 years ago

What is (f + g)(x)? f(x)=x^3−x g(x)=x^3+2x^2−10

Mathematics

1 answer:

Leya [2.2K]3 years ago

4 0

(f+g)(x)=f(x)+g(x) = x³-x +x³ +2x²-10=2x³ + 2x²-x-10
(f+g)(x)=2x³ + 2x²-x-10

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A store sells 4 main types of chocolate bars milk chocolate dark chocolate white chocolate and hazelnut chocolate the store empl

sergij07 [2.7K]

Hi there! The answer is A. 252

To find the percentage of the customers who preferred the milk chocolate bar we need to know two things:

First we need to know the total amount of customers, which is 50.
Second we need to know how many of these customers preferred the milk chocolate bar. This bar is preferred by 28 people.

Now we can fill in the following formula, in order to find our percentage:
$\% = \frac{part}{total} \times 100 \% = \frac{28}{50} \times 100 \% = 0.56 \times 100 \% = 56 \%$

Now we can multiply this percentage by the total amount of chocolate bars which will be bought (which is 450).
$56 \% \times 450 = 0.56 \times 450 = 252$

Hence, the answer is A. 252
~ Hope this helps you!

7 0

3 years ago

If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?

Zielflug [23.3K]

$\sin \theta = \dfrac 2 3$

$\tan \theta < 0$

Positive sine, negative tangent, means we have a negative cosine. We're talking about the second quadrant.

$\cos^2 \theta + \sin ^2 \theta = 1$

$\cos^2 \theta = 1 - \sin ^2\theta$

$\cos \theta = \pm \sqrt{1 - \sin ^2\theta}$

We know it's negative,

$\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}$

Answer: -(1/3)√5

4 0

3 years ago

Is number 19 correct

olganol [36]

Yes it is. Hope it helps.:)

8 0

3 years ago

Read 2 more answers

Derive a formula for the bullet speed v in terms of D, T, and a measured angle θ between the position of the hole in the first d

Ad libitum [116K]

Answer:

θ = 2π

Rotational period = T

so the angular velocity is:

w=2πT

v=Dt

D=vt

Step-by-step explanation:

3 0

3 years ago

Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y= 6. Include your

hram777 [196]

Answer:

x+y=0

Step-by-step explanation:

Hi there!

We're given the line x+y=6 and we want to write the equation of the line that's parallel to x+y=6 and passes through the origin (or the point (0,0)) in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients (the values of a, b, and c are numbers).

Note that a CANNOT be 0 and CANNOT be negative

First, let's find the slope of the line that will be parallel to x+y=6, as parallel lines have the same slope.

We'll do this by converting x+y=6 from standard form into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

x+y=6

subtract x from both sides

y=-x+6

although there's no number in front of x, there's the negative sign, which means that the slope of x+y=6 is -1

Since parallel lines have the same slope, the slope of the new, parallel line is also -1

here's our equation so far in slope-intercept form:

y=-x+b

we need to find b

As the line will pass through (0,0), we can substitute it into the equation to solve for b

substitute 0 as x and 0 as y into the equation

0=-(0)+b

multiply

0=0+b

0=b

so the equation in slope-intercept form is y=-x+0

But remember! The problem asks for the answer in standard form

in that case, add x to both sides of the equation

Hope this helps!

8 0

3 years ago