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Darya [45]
4 years ago
8

Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8

Mathematics
2 answers:
beks73 [17]4 years ago
6 0

Answer: B

Step-by-step explanation:

Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18

18=9x+54

Subtract 54 from both sides to get:

-36=9x

Divide both sides by 9 to get x = -4

krek1111 [17]4 years ago
5 0

Answer:

-4 =x

Step-by-step explanation:

ƒ(x) = 9x + 54

Let f(x) = 18

18 = 9x+54

Subtract 54 from each side

18-54 = 9x + 54-54

-36 = 9x

Divide each side by 9

-36/9 = 9x/9

-4 =x

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3 years ago
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10
kipiarov [429]

step 1

find the coordinates of the factory

the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)

coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport

let

A coordinates of warehouse-------> A( 39,-52)

B coordinates of airport---------> B(-39,52)

C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3

find the distance airport to factory

B(-39,52)

C(39,52)

distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39

the total number of miles=169 miles

<em>Thus</em> the answer is 169

4 0
3 years ago
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Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t
Katarina [22]

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

6 0
3 years ago
The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n
Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width =  8 inches

height =  7 inches

Volume of regular prism is given  by area of base * height

area of base  = length * width ( as bin is rectangular)

area of base  = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

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_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 *  full capacity of the recycling bin

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694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0
3 years ago
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