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Alexandra [31]
3 years ago
11

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0
Answer -
(f+g)(x) = 3^x + 10x + 4x - 2

(f+g)(x) = 3^x + 14x - 2
abruzzese [7]3 years ago
4 0
(f+g)(x) = 3^x + 10x + <span>4x - 2
</span>(f+g)(x) = 3^x  + 14x  - 2
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Please help me with math!! ​
Elina [12.6K]

Answer: y = -\frac{8}{9} (x-15)^2+200

Step-by-step explanation:

To answer this, we have to use quadratic equations.

We can represent this by using information given to us.

Knowing that a parabola peaks at its vertex, and the flare goes from its launch site (x = 0) and hits the ground 30m from the launch site (x = 30), we know that the flare peaks 15 meters away horizontally from the launch point.

We also know that the y-intercept is 0, because it is fired from the ground.

Knowing that the vertex for the parabola is (15, 200) and the y-intercept is (0, 0), we can model an equation.

Vertex form is:

y = a(x-h)^{2}  + k, where (h, k) is the vertex.

y  = a(x-15)^2+200

We can plug the y-intercept, (0, 0), into this equation to find a:

0 = a(-15)^2 + 200\\0 = 225a+200\\a = -\frac{8}{9}

7 0
4 years ago
The point (5/13,y) in the fourth quadrant corresponds to angle θ on the unit circle.
andreyandreev [35.5K]
Cos θ = adjacent / hypothenus = 5/13
opposite = sqrt(hypothenus^2 - adjacent^2) = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12

sec θ = 1/cos θ = 1/(adjacent / hypothenus) = hypothenus / adjacent = 13/5
cot θ = 1/tan θ = 1/(opposite/adjacent) = adjacent / opposite = 5/12

sec θ = 13/5
cot θ = 5/12
5 0
4 years ago
A cell phone company offers two texting plans people who use plan a pay $0.10 for each text sent or received people who use Plan
lianna [129]

Step-by-step explanation:

I'm sorry that i cannot answer your question but i need these points badly for my questions for some missing assignments i have sorry

8 0
4 years ago
The failure of a circuit board interrupts work that utilizes a computing system until a new board is delivered. The delivery tim
Hatshy [7]

Answer:

The expected cost is 152

Step-by-step explanation:

Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y

f_Y(y ) = \frac{1}{5-1} = \frac{1}{4} if 1\leq y \leq 5 and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)

Recall that, by definition  

E(Y^k) = \int_{-\infty}^{\infty} y^kf_Y(y)dy

Also, we are given that C = 50+3Y+9Y^2. Recall the following properties of the expected value. If X,Y are random variables, then

E(a+bX+cY) = a+bE(X)+cE(Y)

Then, using this property we have that E[C] = 50+3E[Y]+ 9E[Y^2].

Thus, we must calculate E[Y] and E[Y^2].

Using the definition, we get that

E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3

E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}

Then

E(C) = 50 + 3\cdot 3 + 9 \cdot \frac{31}{3} = 152

5 0
3 years ago
PLEASE HELP!!!!!
amm1812

Answer:

Because here score is 575 she must pay 2365 per mo according to the table

If her score were 850 she would pay 1685 per month

So the difference in the two rates is:

2365 - 1685 = 680  a month more because of the low credit score

6 0
3 years ago
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