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3 years ago

F(x) = 4x + 2; find f(8)

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

f(8)=34

Step-by-step explanation:

To solve, you just substitute x for 8

4(8) + 2

32 + 2

F(8) = 34

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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe

Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x + 32.50 = 10.25x + 51.25

14x - 10.25x = 51.25 - 32.50

3.75x = 18.75

x = 18.75/3.75

x = 5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

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8 0

2 years ago

Read 2 more answers

What are the like terms in 2y3 – 4y2 + y + y3?

Goryan [66]

Like terms are terms that have the same variable and/or "pesty" numbers.

2y^3 and 4y^2 are like terms, so are y and y^3, since they all contain the variable, Y.

5 0

3 years ago

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age

puteri [66]

Answer:

5m-50

Step-by-step explanation:

Let Diego current age be x,

Given that Diego’s current age is five times Martina’s age ten years ago

Martina current age = m years

10 years ago Martina's age = m-10

Hence we have

x = 5(m-10) = 5m-50

So we find that Diego's current age can be expressed in terms of m as

Deigo's current age= 5m-50

Verify:

Deigo current age = 5m-50

Hence Martina age 10 years ago = 5m-50 divided by 5 = m-10

Martina current age = m-10+10 = m

Verified.

8 0

4 years ago

What is the slope of a line that passes through (0,5) and (-3,-4)

Marina86 [1]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 3, - 4)

m = $\frac{-4-5}{-3-0}$ = $\frac{-9}{-3}$ = 3

8 0

3 years ago

Mr. Miller has a 20-foot ladder, which he

dimulka [17.4K]

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

$b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}$

$b=\sqrt{72}$

$b= 8.49 ft$

round to the nearest foot,

b = 8 ft

3 0

3 years ago