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2 years ago

Find the y-intercept for the parabola defined by

Mathematics

1 answer:

wolverine [178]2 years ago

4 0

Answer:

Step-by-step explanation:

Set x=0

when you do that, you will find the point where y=12 since x^2+8x=0, but adding the 12 moves up the y-component by 12 units

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What are the solutions of the system?

svetlana [45]

Answer:

Option C. No solution is the right answer.

Step-by-step explanation:

Here the given equations are y = x²+2x+3 -----(1)

and y = 4x-2 -------(2)

Now we substitute the value of y from equation 2 into 1.

x²+2x+3 = 4x-2

x²+2x+3-2x = 4x-2-2x

x²+3 = 2x-2

x²+3-2x = 2x-2x-2

x²-2x+3 = -2

x²-2x+5 = 0

Then value of $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

$=\frac{+2\pm \sqrt{4-4\times 1\times 5}}{2}$

$=\frac{2\pm \sqrt{4-20}}{2}$

Since in this solution √(-20) is not defined. Therefore there is no solution.

3 0

2 years ago

Read 2 more answers

9 is the geometric mean between 4 and which other number?

KonstantinChe [14]

Answer is A. 20.25

cause 20.25 x 9 = 81
√81 = 9
so 9 is the geometric mean <span>between 4 and 20.25</span>

5 0

2 years ago

A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving. What is the unit rate for calories per c

Dimas [21]

Answer:

a) The unit rate for calories per cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.

a) What is the unit rate for calories per cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per cup is 100 calories per cup

b) How many calories are there in 2 cups of the cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

7 0

2 years ago

Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places

Sergeeva-Olga [200]

Solution: Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.

Answer: The given random experiment can be considered as binomial experiment with probability of success = 0.2 and number of trials = 5

Therefore, we have:

$n=5,p=0.2,q=(1-p)=1-0.2=0.8$

Let x be the number calls that reach to live person.

We have to find $P(x=0)$

Using the binomial probability distribution, we have:

$P(x=0)=\binom{5}{0}0.2^{0} (1-0.2)^{5-0}$

$=1 \times 1 \times 0.8^{5}$

$=0.3277$

Therefore, the probability that none of them reaches a live person is 0.3277

6 0

2 years ago

A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?

S_A_V [24]

Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

8 0

2 years ago

Read 2 more answers