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anzhelika [568]
3 years ago
11

find an equation for the line parallel to y=3x-2 with y- intercept (0,4). write the answer in the slope intercept form

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0
Parallel lines have same same slope with different c values. comparing the given equation to y=mx+c. m=3 and c=-2. for the parallel line the c is different. 

now apply the values of (0,4) in the equation y=3x+c and solving for C gives
the REQUIRED LINE EQUATION as y=3x+4
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The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to th
harina [27]

Answer:

  • x = 5, y = 7, z = 12

Step-by-step explanation:

<u>Let the numbers be x, y and z</u>

  • x + y + z = 24
  • 2y = z + 2
  • z = x + y

<u>Solving by substitution:</u>

  • x + y + z = z + z = 24
  • 2z = 24
  • z = 12

  • 2y = z + 2
  • 2y = 12 + 2
  • 2y = 14
  • y = 7

  • z = x + y
  • x = z - y
  • x = 12 - 7 = 5

<u>The answer:</u>

  • x = 5, y = 7, z = 12
8 0
3 years ago
What kind of function is being illustrated by f(x)=|2x³-3x|+5?
Dimas [21]

Answer:

Option D: Absolute value function

Step-by-step explanation:

The absolute value of a number is the distance of the number from 0 to the left or right on the number line.

We are given the function;

f(x) = |2x³ - 3x| + 5

This function contains an absolute value symbol which is |2x³ - 3x|.

This function is thus illustrated by an an absolute value function because an absolute value function will be one that contains algebraic expressions within absolute value symbols.

5 0
3 years ago
Car mart pays $110,000 rent each year for its two-story building. the space in this building is occupied by five departments as
Anvisha [2.4K]

First floor:

paint department 1,575 square feet

space engine department 2,925 square feet

Total = 4,500 square feet

 

Second floor:

space window department 1,845 square feet

electrical department 765 square feet

accessory department 1,890 square feet

Total = 4,500 square feet

 

Since 70% is allocated to the 1st floor, therefore the floor is receiving:

First floor expense = $110,000 * 0.70 = $77,000

Second floor expense = $110,000 - $77,000 = $33,000

 

The expense for each department is the proportion on the total expense per floor.

First floor:

paint department = (1575/4500) * 77,000 = $26,950

space engine department = 77,000 – 26,950 = $50,050

 

Second floor:

space window department = (1845/4500) * 33,000 = $13,530

electrical department = (765/4500) * 33,000 = $5,610

accessory department = 33,000 – 13530 – 5610 = $13,860

6 0
3 years ago
A loan of $ 8000 was repaid in 24 equal monthly instalments of $400. The rate of interest on the loan was
masha68 [24]

Answer:

if im right 1600? i did it in my head so im not 100 percent sure

Step-by-step explanation:

7 0
2 years ago
What is the correct expanded form of -3(4 + 2n) ?​
lys-0071 [83]

Answer:

-3(4+2n) multiply -3 by 4 and 2n

-12-6n

3 0
3 years ago
Read 2 more answers
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