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GaryK [48]
3 years ago
15

If f(x) =g(x) + 10 and g(x) = 3(x) - 18

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Step-by-step explanation:

This is called a nested function. Remember, math is a language.

We define a function where x is whatever we want it to be, f(x) = g(x) +10

but we have yet another function inside and itvs defined as g(x) = 3x - 18

if we were to write it out, it woukd be

f(x) = (3x - 18) + 10

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Solve using elimination 5x+7y=9 <br> 2x-3y=-37
uranmaximum [27]

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

4 0
2 years ago
3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 +
klemol [59]

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

3 0
3 years ago
What is the sum of the first 11 terms of the arithmetic series in which a1= -12 and d=5?
SVEN [57.7K]
Hello :  
the terme general is : an = a1 +(n-1)d
 a11 = a1+(11-1)×5
a11 = -12+50
a11 = 38
<span>the sum of the first 11 terms is : S11 = (11/2)(a1+a11)
</span>S11 = (11/2)(-12+38)
S11 = 143
3 0
3 years ago
Baxter has a sandbox that holds Kinetic sand. The diagram
NARA [144]

It's a cuboid

  • Length=L=3-3/4=3.75ft
  • Breadth=11/12ft=0.92ft
  • Height=H=4ft

Volume:-

  • LBH
  • 3.75(0.92)(4)
  • 13.8ft²

6 0
3 years ago
Read 2 more answers
Pls help, I will give brainlist!
LenKa [72]

Answer:

Step-by-step explanation:

2.)A=\frac{bh}{2}

\frac{15*10}{2}=75.

3.) years to month

6 years is 72 month+2 month=74 month

month to days

74 month=2250.84days.

6 0
3 years ago
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