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PilotLPTM [1.2K]
2 years ago
10

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

Mathematics
1 answer:
galina1969 [7]2 years ago
6 0

Answer:

3^x+12x-4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = 3^x + 10x + 2x - 4 = 3^x + 12x - 4

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The answer is p = -2/3 and q= -2
igomit [66]

y=\dfrac{p}{q+x}\\\\\dfrac{1}{y}=\dfrac{1}{\frac{p}{q+x}}=\dfrac{q+x}{p}

We have x and y intercept:

(2, 0) and (0, 3).

Substitute the coordinates of points to the equation:

(2,\ 0)\\\\0=\dfrac{q+2}{p}\to q+2=0\to q=-2\\\\(0,\ 3)\\3=\dfrac{q+0}{p}\to3p=q\to3p=-2\to p=-\dfrac{2}{3}

6 0
3 years ago
A rectangle has an area 18sq cm.id its length and width are wjole numbera.what is its greatest possible perimeter
makkiz [27]

Answer:

38cm

Step-by-step explanation:

1. The perimeter of a square can be found with the formula2 \times (width + length)

2. Since its length and width are whole numbers, it must be either

1 x 18,

2 x 9 or

3 x 6

3. Using the formula in step 1, we can found that the perimeter in these cases are

38

22

18

respectively

4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.

3 0
3 years ago
How do I do this homework???​
Nonamiya [84]

Step-by-step explanation:

a)

135

/ \

3. 45

/ \

3. 15

/ \

3. 5

b)

250

/ \

10 .25

/\ / \

2 5. 5 5

c)

351

/ \

3. 117

/ \

3. 39

/ \

3. 13

Hope it helps :)

5 0
4 years ago
A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb pe
AveGali [126]
First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds
4 0
3 years ago
A number decreased by 19,<br> divided by -6, is no more than 5.'<br> ality:
iren2701 [21]

Answer:

Fifteen less than twice a number35% of n4/17 of nSubtract y from 5Subtract 5 from yadd|sumof x and|to 8x added to 3x subtracted from 20p added to tp subtracted from tmultiply x and 825 divided by a numberquotient of ten and a number decreased by twothe sum of 4 and a number divided by 104 times a number plus 5 times the same numbert is atleast 10 and at most 22divide 8 by xdivide x by 93 groups of wx is no less than 25The product of w and 5 is less than 21w more than 47 times the sum of x and ytake away 4 from 3 times dtwice the sum of a number and 3

3 0
3 years ago
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