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3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

Answer:

4x + 1

f + g(x) = f(x) + g(x) → Add the two functions together

3x - 1 + (x + 2)

3x - 1 + x + 2

3x + x − 1 + 2 → Combine like terms

4x + 1

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Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

coldgirl [10]

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

3 0

4 years ago

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mario62 [17]

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3 years ago

To mix plaster for a dental model, 45 milliliters (mL) of water are used for 100 grams (g) of plaster. How many milliliters (mL)

Tomtit [17]

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3 years ago

(m+2)(m+3)=(m+2)(m-2)

Anastaziya [24]

(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2

The final answer is m=-2~

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