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3 years ago

Which statement describes the solution set of function f? f(x)= 3x^2 - 4x - 2

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

Vertex form

( 2 /3 , − 10 /3 )

x and y intercepts

Y intercept ( 2 + √ 10 /3 , 0 ) , ( 2 − √ 10/ 3 , 0 )

X intercept ( 0 , − 2 )

Step-by-step explanation:

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Diego pays $4.50 for 3 pound of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas

lys-0071 [83]

Answer:

D. 3b + 2(b + 0.75) = 4.50; $0.60 per pound of bananas, $1.35 per pound of oranges

Step-by-step explanation:

Price per pounds of bananas = b

Price per pound of oranges = b + $0.75

Diego buys:

3 pounds of bananas = 3(b) = 3b

2 pounds of oranges = 2(b + 0.75)

Amount paid by Diego is expressed as:

3b + 2(b + 0.75) = 4.50

To find the price per pound of each fruit, use the equation above to find the value of b:

3b + 2b + 1.50 = 4.50

Combine like terms

5b + 1.50 = 4.50

5b + 1.50 - 1.50 = 4.50 - 1.50

5b = 3

5b/5 = 3/5

b = 0.6

Price per pound of banana = b = $0.6

Price per pound of oranges = b + $0.75

Plug in the value of b

= $0.6 + $0.75

= $1.35

4 0

4 years ago

Solve 2^x = 1/32 5 1/5 -5

Rainbow [258]

Answer:

You're answer is -5 :)

Step-by-step explanation:

8 0

3 years ago

What is the answer for this and please explain ?

Sauron [17]

The Pythagorean Theorem: (a² + b² = c²)
1. Substitute the known values
20² + 15² = c²
400 + 225 = 625
2. Solve
625 = c²
Divide and solve for both side, simplify and you get:
Answer: C = 25

3 0

4 years ago

Read 2 more answers

Help asap plz, dhdhhshdhdhd

IgorLugansk [536]

Answer:

x=7

Step-by-step explanation:

The two marked angles in the image are supplementary, so we can form the following equation:

2x-3=x+4

We can solve that equation to find x.

2x-3=x+4

2x=x+7

x=7

I hope this helps.

7 0

3 years ago

50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in orde

tia_tia [17]

The first thing we are going to do for this case is define variables.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:
$0.16x + 0.08 (320-x) = 0.09 (320)
$
Rewriting we have:
$0.16x + 25.6 - 0.08x = 28.8
$
From here, we clear x:
$0.16x - 0.08x = 28.8 - 25.6

0.08x = 3.2

x = 3.2 / 0.08

x = 40$
Then, the amount of Soybean meal is:
$x = 40 lb
$
The amount of cornmeal is:
$320 - x = 320 - 40 = 280 lb
$
Answer:
cornmeal: 280 lb
Soybean: 40 lb.

4 0

3 years ago