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OLEGan [10]
2 years ago
13

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times

the smaller number
Mathematics
1 answer:
irakobra [83]2 years ago
4 0
Two Consecutive Odd Numbers: D, D+2

(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D

Two Consecutive Odd Numbers are 29, 31

Check. . 31 + 2(29) = 4(29) - 27
..................31 + 58 = 116 - 27
.................89 = 89 ..... CORRECT!
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Y = 3(x+ 4)^2+ 4 plz find the vertex and whether the graph has a minimum or maximum point
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6 0
2 years ago
If the fuel tank in Jim's car holds 14 gallons of fuel, define a formula to determine the number of gallons of fuel in Jim's fue
salantis [7]

Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:

y = -0.02x + 14

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • Jim's car holds 14 gallons of fuel, hence b = 14.
  • Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is m = -\frac{1}{50} = -0.02.

Hence, the function is:

y = -0.02x + 14

You can learn more about linear functions at brainly.com/question/25898120

5 0
2 years ago
7. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two
AlladinOne [14]

Answer:

f(g(x)) =

\sqrt{8x \:  -  \: 13}  \:  +  \: 9

Step-by-step explanation:

f(x) =

\sqrt{x}  \:  +  \: 9

g(x) = 8x - 13

f(g(x) =

\sqrt{8x \:  - 13}  \:  +  \: 9

5 0
3 years ago
Find three consecutive integers whose sum is 57????
Setler79 [48]

Answer:18 19 20

Step-by-step explanation:"Consecutive"  means that the integers will follow each other in value, for example:  1, 2, 3 or 4, 5, 6.  Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up:   Let x= the first integer     Then    X+1= 2nd consecutive integer   and x+2= 3rd  .  

Suppose that x=1   x+1= 1+1=2   and x+2=1+2=3   However, you need specific consecutive numbers whose sum is 57.  Remember that sum means to add:

x+  (x+1)  + (x+2) = 57                 Addition of all 3 consecutive numbers   Now solve for x

                                                   and substitute into each part to come up with the three integers:

3x + 3= 57        3x=54               x=54/3  =  18            x=18,   x+1= 18+1=19      x+2=18+2=20

Check your answer:  18+19+20=57                 57=57  Check

7 0
3 years ago
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