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yulyashka [42]
3 years ago
14

Someone please help me with this

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a)

f(0)

Since x = 0 < 5, then

f(0) = x + 4 = 0 + 4 = 4

(b)

f(6)

Since x = 6 meets the condition 5 ≤ x < 7, then

f(6) = 8

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Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
nikitadnepr [17]

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

  • Same slopes
  • Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

5 0
2 years ago
At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o
Serga [27]
<span /><span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.

</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10).

Sheila deposited money 6 times
Expression: (6)(x) or 6x

Put it all together and the equation is 5(x+10)=6x. 

Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50. 

Sherri paid $60 in each of her 5 deposits because 50 + 10 is 60. 60 by 5 is also $300. 


3 0
2 years ago
A cube and the net for the cube are shown. <br><br> What is the surface area of this cube?
lozanna [386]
Ok, 6×25=150, since there are 6 sides, the answer is 150cm.
3 0
3 years ago
What is 4 multiplied by 5 7/9 as a mixed number or fraction
Andrei [34K]
The answer is 23 and 1÷9

First you multiply 4 by 5 and wind up with 20
Then you multiply four by 7÷9.
That gets you 28÷9
You take out all the nines you can from 28, three in this case.
That gets you 27÷9 + 1÷9
Your total thing is 20+27÷9+1÷9
That equals 20+3+1÷9
That equals 23 and 1÷9
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3 years ago
In which quadrant of the coordinate graph does point J lie?
tia_tia [17]

J lies in Quadrant II.

7 0
2 years ago
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