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4 years ago

Show all the ways to take 10

Mathematics

1 answer:

soldi70 [24.7K]4 years ago

8 0

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Given the information below, write the equation in Standard Form.

Sergio [31]

Answer:

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

Step-by-step explanation:

The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where

The vertex of the parabola is (h , k)
The focus is (h + p, k)

∵ The vertex of the parabola is (3 , -2)

∴ h = 3 and k = -2

∵ The focus is (5 , -2)

∴ h + p = 5

- Substitute h by 3 to find p

∵ 3 + p = 5

- Subtract 3 from both sides

∴ p = 2

∵ The standard form of the equation of the parabola is (y - k)² = 4p (x - h)

- Substitute the values of h , k , and p in the equation

∴ (y - -2)² = 4(2) (x - 3)

∴ (y + 2)² = 8 (x - 3)

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

3 0

3 years ago

How many solutions does the equation below have?

miskamm [114]

Answer:

1. none

Step-by-step explanation:

When you simplify the expression, you see that the statement is is false for any value of x.

7 0

3 years ago

Read 2 more answers

: Your experience indicates that offering a discount in your emails increases responses by 80%. Your last email, without a disco

timofeeve [1]

For this case we can make the following rule of three:
23000 -------> 100%
x --------------> 180%
Clearing the value of x we have:
x = (180/100) * (23000)
x = 41400
Answer:
you would expect about:
a) 41,400 responses

8 0

3 years ago

In a shop, two kinds of candies A and B were sold at $2 each and $5 each respectively. Tammy paid at least $75 for 20 candies A

olga55 [171]

Answer:

Exact answer not possible: See below.

Step-by-step explanation:

The total that Tammy would pay is the sum of 2A and 5B, where A and B are the number of candies costing $2 and $5, respectively. Therefore:

2A + 2B = Total Spent

We are told Tammy spent at least $75, which can be written as "Total Spent > $75."

The equation becomes 2A + 5B > 75

Rearranging:

2A + 5B > 75

2A > 75 - 5B

A > (75 - 5B)/2

To find the maximum of the candy A bought, one can try different values of A and B that result in a total of at least $75. If the amount spent were $75 exactly, a solution would be 35 A (for $70), leaving $5 for 1 candy B. But we don't know the exact amount. The problems states "at least $75." As far as we know, Tammy may have spent $105, $405, $1,005, or even $4,005 (200 A and 1 B). One cannot pick a maximum simply since the maximum spent is not defined. The next possible value above $75 would be $77, which represents 36 A and 1 B candies.