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3 years ago

If f(x) = 2x + 5x and g(x) = 3x — 5, find (f+ g)(x).

Mathematics

2 answers:

dalvyx [7]3 years ago

6 0

<h3>Given:</h3>

f(x) = 2^x + 5x

g(x) = 3x - 5

( f + g ) ( x ) = f(x) + g(x)

<h3>Explanation:</h3>

By putting the values, we get

2^x + 5x + 3x - 5

= 2^x + 8x - 5

<h2>Answer:</h2>

(f+g)(x) = 2^x + 8x - 5

jonny [76]3 years ago

4 0

Answer:

2^x + 8x - 5

Step-by-step explanation:

<h3>Given</h3>

f(x) = 2^x + 5x and g(x) = 3x - 5

(f+ g)(x)

<h3>Solution</h3>

(f+ g)(x) =
f(x) + g(x) =
2^x + 5x + 3x - 5 =
2^x + 8x - 5

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What is 6476 divided by 2

In-s [12.5K]

The answer to 6476 divide by 2 is 3238

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4 years ago

Evaluate the summation of 3 n plus 2, from n equals 1 to 14. 39 49 340 343.

lord [1]

The summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

<h3>How to find the sum of consecutive integers?</h3>

$1 + 2 + 3 + ... + n = \dfrac{n(n+1)}{2}$

<h3>
What are the properties of summation?</h3>

$\sum_{i=r}^s (a \times f(i) + b) = a \times [\: \sum_{i=r}^s f(i)] + (s-r)b$

where a, b, r, and s are constants, f(i) is function of i, i ranging from r to s (integral assuming).

For the given case, the considered summation can be written symbolically as:

$\sum_{n=1}^{14} (3n + 2)$

It is evaluated as;

$\sum_{n=1}^{14} (3n + 2) = 3 \times [ \: \sum_{n=1}^{14} n ] + \sum_{n=1}^{14} 2\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times \dfrac{(14)(14 + 1)}{2} + (2 + 2 + .. + 2(\text{14 times}))\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times 105 + 28 = 343\\$

Thus, the summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

Learn more about summation here:

brainly.com/question/14322177

5 0

3 years ago

I will give lots of points please help

marin [14]

Step-by-step explanation:

PART 1:

on the graph you can make a triangle at any point and with any angle measures.

i recommend a smaller right triangle to be easiest.

i recommend the points (0,3) A (3,0) B and (0,0) C

∆ABC angle measurements:

m∠CAB=45°

m∠ABC=45°

m∠ACB=90°

PART 2:

(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right

m∠FDE=45°

m∠DEF=45°

to find the missing value of the angle EFD we will use subtraction and addition

180-(45+45)

180-90

therefore, the m∠EFD=90°

PART 3:

both the angle measures and the shapes of the triangles are the same

PART 4:

i used a 1:1 ratio

sorry for the wait :)

7 0

2 years ago

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

kipiarov [429]

Answer: 37

Step-by-step explanation:

As per given description in the question, we have

Population standard deviation : $\sigma=2.6\text{ miles per gallon}$

Critical value for 98% confidence interval = $z_{\alpha/2}=2.33$

Margin of error : E= 1 mile per gallon

Formula we use to find the sample size :

$n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2$

i.e. $n=(\dfrac{(2.33)\cdot(2.6)}{1})^2$

$\Rightarrow\ n=36.699364\approx37$

Therefore , the number of automobiles should be used in the test =37

4 0

3 years ago

A plane flies 440 miles with wind, and 340 miles against wind in same time. If speed of wind is 25 mph, find speed in still air?

Viefleur [7K]

V = s/t

now, t is equal for both cases so we write these 2 equations:
440/(Vp+Vw) = t

and

340/(Vp-Vw) = t
Now again, since t is equal for both cases we can make these 2 equations equal to eachother.
440/(Vp+25) = 340/(Vp-25)
(Vp - 25)*44=34*(Vp+25)
44Vp - 1100 = 34Vp + 850
10Vp = 1950
Vp = 195

Answer is 195mph

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3 years ago