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3 years ago

Given the function f(x)=-5x^2-2x+20 find f(3)

1 answer:

4 0

$f(x)=-5x^2-2x+20\\\\f(3)\to\text{put x=3 to the equation of the function f}\\\\f(3)=-5(3^2)-2(3)+20=-5(9)-6+20=-45-6+20=-31\\\\Answer:\ f(3)=-31$

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He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot

AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0

3 years ago

Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE

Snezhnost [94]

Answer:

$BE = 4\sqrt2$

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

$BD^2 = BA^2 + AD^2$

Since the shape is a square, then

$BA = AD = 8$

So:

$BD^2 = 8^2 + 8^2$

$BD^2 = 2(8^2)$

Take square roots

$BD = \sqrt{2(8^2)$

$BD = \sqrt{2} * 8$

$BD = 8\sqrt{2}$

BE is half BD.

So:

$BE = \frac{1}{2} * BD$

$BE = \frac{1}{2} * 8\sqrt2$

$BE = 4\sqrt2$

8 0

2 years ago

how many gallons will it take to mow a lawn if you maintain the rate of 1/2 gallon of gasoline per 1/4 mowed

Musya8 [376]

Recall that one whole is 1, or in this case since the denominator is 4, then 4/4 is 1 whole, so the whole lawn is 4/4.

$\bf \begin{array}{ccll}
gallons&mowed\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{2}&\frac{1}{4}\\\\
g&\frac{4}{4}
\end{array}\implies \cfrac{\frac{1}{2}}{g}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{\frac{1}{2}}{\frac{g}{1}}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{1}{2}\cdot \cfrac{1}{g}=\cfrac{1}{4}\cdot \cfrac{4}{4}
\\\\\\
\cfrac{1}{2g}=\cfrac{1}{4}\implies 4=2g\implies \cfrac{4}{2}=g\implies 2=g$

3 0

3 years ago

Three consecutive even integers have a sum of -48. Find the largest integer.

kobusy [5.1K]

Answer:

Step-by-step explanation:

{x - some integer}

2x - the first even integer

2x+2 - the second consecutive even integer

2x+4 - the third consecutive even integer (the largest)

2x + 2x+2 + 2x+4 - the sum of three consecutive even integers

2x + 2x+2 + 2x+4 = -48

6x + 6 = -48

÷3 ÷3

2x + 2 = -16

+2 +2

2x+4 = -14

6 0

3 years ago

Makayla's local movie theater has a movie girl club that charges an annual resignation fee for $25 however movie tickets are dis

photoshop1234 [79]

Answer:

Step-by-step explanation:

C(m) = 6x + 25....the domain will be ur x value...and ur x value represents number of tickets bought......so the domain is best represented by :

whole numbers

it cant be integers because it cant be negative numbers

it cant be rational because it cannot include decimals..u cant buy part of a ticket

it cant be real because it cant include irrational numbers

6 0

3 years ago