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3 years ago

Given f (x) = x2 + 7, evaluate f (4).

Mathematics

2 answers:

Blizzard [7]3 years ago

8 0

Answer:

f(4) = 23

Step-by-step explanation:

$f(x) = x^2 + 7$

Plug x = 4

$f(4) = 4^2 + 7$

$f(4) = 16 + 7$

$f(4) = 23$

trapecia [35]3 years ago

3 0

Answer: f(4) = 23

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(4).

We find f(4) by plugging 4 in for x, everywhere that x appears in the function.

So we have f(4) = (4)² + 7.

(4)² is 16 so we have 16 + 7 which is 23.

So f(4) is 23.

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

3 years ago

wallace has a $50 bill. pizza pies cost 12.25 each. if p represents the number of pizzas he buys, write an expression for the ch

Stolb23 [73]

Since he has to give 50, and 12.25*p is the amount of money he has to spend (since it's 12.25 per pizza), we have 50-12.25=change

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3 years ago

Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They

Anika [276]

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

8 0

3 years ago

At a baseball game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number

Eddi Din [679]

Answer:

64 sodas and 32 hot dogs

Step-by-step explanation:

192 divide by 2 = 96. 96 divide by 3 = 32. 32 +32 =64 because there was 2 times as many sodas sold.64 +32=96.

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3 years ago