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3 years ago

Solve for a variable 7x + y = 4

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

6 0

Answer:

x= $\frac{4-y}{7}$

y= 4-7x

Step-by-step explanation:

Let me know if you need the explanations.

Natalka [10]3 years ago

5 0

Answer:

3x+4x+y-2+1+2

Step-by-step explanation:

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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

Michael's little brother plays with the building blocks what are in the shape of a cube in a cube has an edge length of 15 mm wh

MakcuM [25]

Answer:

Your answer would be C)1,350 mm

Step-by-step explanation:

face area = (15 mm)² = 225 mm²

cube area = 6 × face area = 6×225 mm² = 1350 mm²

3 0

3 years ago

here are the first four tearms of a sequence 1, 11, 22, 37, find and express in terms of n the nth term of this sequence

Umnica [9.8K]

2n² + n + 1

<u>Explanation:</u>

The sequence is 4, 11, 22, 37

Difference between: 7, 11, 15

The first differences are 7, 11, 15, and the second differences are 4.

Since half of 4 is 2, then the first term will be 2n^2.

Subtracting 2n² from the sequence gives 2, 3, 4, 5 which has nth term n + 1.

Therefore the final answer is 2n² + n + 1

7 0

3 years ago

∆ABC is reflected about the line y = -x to give ∆A'B'C' with vertices A'(-1, 1), B'(-2, -1), C(-1, 0). What are the vertices of

blsea [12.9K]

Hi there!
Reflections across the line y = -x always go by the rule (-y, -x). We can use this rule to get our answer here. We are given the aftermath of the reflection coordinates, which are <span>A'(-1, 1), B'(-2, -1), and C'(-1, 0). All we have to do now is switch up the coordinate values and multiply them by -1. Here is the work -
A'(-1, 1) => (1, -1) => x -1 => A(-1, 1)
B'(-2, -1) => (-1, -2) => x -1 => B(1, 2)
C'(-1, 0) => (0, -1) => x -1 => C(0, 1)
Therefore, the coordinates of Triangle ABC are A(-1, 1); B(1, 2); C(0,1). Hope this helped and have a phenomenal day!</span>

6 0

4 years ago

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On Monday, Andrew ate some grapes. On Tuesday, he ate 2 more grapes than what he ate on Monday. On Wednesday, He ate 2 more grap

Valentin [98]

Answer: I think It's 38

Step-by-step explanation:

you can multiply or add all of them together

6 0

2 years ago

Read 2 more answers