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3 years ago

WHat is the y- intercept of the quadratic function f(x)=(x-6)(x-2)?

Mathematics

2 answers:

aleksandrvk [35]3 years ago

7 0

I think it's (0, -12)

erastova [34]3 years ago

6 0

Answer:

The y-intercept of the quadratic function f(x) is 12.

Step-by-step explanation:

The given function is

$f(x)=(x-6)(x-2)$

At y-axis the value of x is 0.

Substitute x=0 in the given function to find the y-intercept of the function.

$f(0)=(0-6)(0-2)$

On simplification, we get

$f(0)=(-6)(-2)$

$f(0)=12$

The graph of function intersect y-axis at (0,12).

Therefore the y-intercept of the quadratic function f(x) is 12.

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NARA [144]

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14) same concept as 13. .5quart/3people = (1/6) of a quart of milk.

15) 3 yards in total. divides it into pieces that are 1/4 yard long. so each 1 yard makes 4 pieces. that means 3 yards makes 12 pieces in total.

7 0

3 years ago

Read 2 more answers

Latanya leaves her house at 12:30 p.M. And bikes at 12 mi/h to Marta's house. She stays at Marta's house for 90 minute. Both gir

Llana [10]

Answer:

Marta's house is 3.10 miles from Latanya's house

Step-by-step explanation:

* Lets explain how to solve the problem

- Latanya leaves her house at 12:30 p.M.

- She bikes at 12 mi/hr to Marta's house

- She stays at Marta's house for 90 minute

- Both girls walk back to latanya's house at 2.5 mi/h

- They arrive at latanya's house at 3:30 p.M.

- We need to know how far is Marta's house from latanya's house

∵ Latanya starts her trip at 12:30 p.M.

∵ She returns her home at 3:30 p.M.

∴ The time of her trip is → 3:30 - 12:30 = 3 hours

- But she stays at at Marta's house for 90 minutes

∵ 1 hour = 60 minutes

∴ 90 minutes = 90 ÷ 60 = 1.5 hours

∴ The time from her house to Marta's house and from Marta's house

to her house is → 3 - 1.5 = 1.5 hours

- Assume that the distance from her house to Marta's house is d

and the time from her house to Marta's house is $t_{1}$ ,

the time from Marta's house to her house is $t_{2}$

∵ Latanya bikes at 12 mi/h to Marta's house

∵ Distance = speed × time

∴ d = 12 × $t_{1}$

∵ Both girls walk back to latanya's house at 2.5 mi/h

∴ d = 2.5 × $t_{2}$

- Equate the two expressions of d

∴ 12 $t_{1}$ = 2.5 $t_{2}$ ⇒ (1)

∵ $t_{1}$ + $t_{2}$ = 1.5

- Subtract $t_{1}$ from both sides

∴ $t_{2}$ = 1.5 - $t_{1}$ ⇒ (2)

- Substitute equation (2) in equation (1)

∴ 12 $t_{1}$ = 2.5(1.5 - $t_{1}$ )

∴ 12 $t_{1}$ = 3.75 - 2.5 $t_{1}$

- Add 2.5 $t_{1}$ to both sides

∴ 14.5 $t_{1}$ = 3.75

- Divide both sides by 14.5

∴ $t_{1}$ = $\frac{15}{58}$ hour

∴ She spends 15/58 hour to bike to Marta's house

- Lets find d

∵ d = 12 $t_{1}$

∴ d = $12*\frac{15}{58}=3.10$ miles

* <em>Marta's house is 3.10 miles from Latanya's house</em>

6 0

3 years ago

Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges

Slav-nsk [51]

Answer:

$ 22.6

Step-by-step explanation:

Given that

Price charged for each box of seeds = x

Profit gained from from selling boxes of seeds = p

The equation of profit is modeled as

P(x) = 0.5x² + 36x - 179

As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.

Now our above equation becomes

379 = -0.5x² + 36x - 179

Simplifying

379+179 = -0.5x² + 36x

558 = -0.5x² + 36x

0.5x² - 36x + 558 =0

multipying both sides of equation by 2

2(0.5x² - 36x + 558) = 2x0

x² - 72x +1116 = 0

Using quadratic formula we get the following factors

x= 49.4 or x= 22.60

As we can the smalles value is 22.6

So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.

8 0

3 years ago

Read 2 more answers

Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice 2 parts sugar and 8 parts water. She juices 2 le

Alex17521 [72]

The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.

<h3>Amount of sugar and water needed</h3>

Ratio=Lemon juice: Sugar: Water=1:2:8

Table spoons sugar needed=6×2=12

Table spoons water needed=6×8=48

Since 1 cup equals 16 tablespoons

Hence,

Sugar

12 tablespoons=1/16×12 cup

12 tablespoons=3/4 cup

Water

48 tablespoons=1/16×48

48 tablespoons=3 cups

Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.

Learn more about amount of sugar and water needed here:brainly.com/question/9109790

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7 0

2 years ago

What is the expected frequency of east campus and passed?

ser-zykov [4K]

The expected frequency of east campus and passed is C. 42 students

<h3>How to calculate the value?</h3>

The table for expected frequency is ,

East Campus West Campus Total

Passed (84*100)/22=42 (84*100)/200 =42 84

Failed (116*100)/200=58 (116*100)/22=58 116

Total 100 100 200

Passed = 84×100/200

= 42

Therefore, the expected frequency of East Campus and Passed is 42 students.

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3 0

1 year ago