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3 years ago

The vertex of this parabola is at (2,-4). When the y-value is -3, the x-value is

Mathematics

2 answers:

Fed [463]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (2, - 4), thus

y = a(x - 2)² - 4

To find a substitute (- 3, - 3) into the equation

- 3 = a(- 3 - 2)² - 4

- 3 = 25a - 4 ( add 4 to both sides )

1 = 25a ( divide both sides by 25 ), hence

a = $\frac{1}{25}$

y = $\frac{1}{25}$ (x - 2)² - 4 ← in vertex form

= $\frac{1}{25}$ (x² - 4x + 4) - 4 ← in expanded form

Hence the coefficient of the x² term is $\frac{1}{25}$

vampirchik [111]3 years ago

5 0

Answer:-5

Step-by-step explanation:

You might be interested in

Kate made 4 dresses with 7 yards of fabric. how many yards did she use on 1 dress

Ksju [112]

This is a fraction equal to
7 yards ÷ 4 dresses

We want a unit rate where
1 is in the denominator, 
so we divide top and bottom by 4.

7÷4= 1.75
_
4÷4=1.
Therefore, Kate used 1.75 yards per one dress (1.75 yds. p/ d)

Hope I helped! :)

5 0

3 years ago

william bougght canned goods at 2.40 per can.he wants to increase the price per can so that he makes a 25% profit. what will the

NemiM [27]

Answer:

The answer is 3

Step-by-step explanation:

25% of 2.40 equals 0.6

so 3 will be the total price and he will get 0.6 profit.

7 0

2 years ago

16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is

Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour = $8.75 per hour

The current salary of per hour = $16.50 per hour

Change in the salary rate per hour = Current salary - Previous Salary

= $16.50 per hour - $8.75 per hour

=$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, $\textrm{Percentage Change in salary} = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}} \times 100$

= $\frac{7.75}{8.75} \times 100 = 88.57$

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0

3 years ago

For a certain candy, 20% of the pieces are yellow, 15% are red, 20% are blue, 20% are green, and the rest are brown. a

OLEGan [10]

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

Brown: $\frac{25}{100}$
Yellow or Blue: $\frac{20}{100} +\frac{20}{100} = \frac{40}{100}$ ....add the numerators

Not Green: $\frac{80}{100}$ .... since the sum of all the rest is 80%

Stiped: $\frac{25}{100}$ .... there are 0 striped candies.

Assuming the ratios/percentages of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.