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3 years ago

Find the function value f(-8) f(x)=6x-1

Mathematics

1 answer:

Volgvan3 years ago

5 0

Step-by-step explanation:

-8=6x-1

You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x

-6x=-1+8

-6x=7

You will divide both sides by-6

-6x/-6=7/-6

x=7/-6

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Paul works for a company that deals in paints and dyes. He is paid a fixed monthly salary plus 15 percent commission on monthly

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If x is the sales amount over $20,000, the function g(x) giving Paul's commission is 0.15x

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3 years ago

Please answer letters A and B

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3 years ago

Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area a

ASHA 777 [7]

Answer:

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Company (2) is $7.4 cheaper.

Step-by-step explanation:

From the tables given in the picture,

Let the equation representing the rental 'y' and distance traveled 'x' is represented by,

y = mx + b

For company (1),

Here m = per mile rental charges = Slope of the graph

b = Initial charges

Since slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through (30, 53.55) and (60, 87.15) will be,

m = $\frac{87.15-53.55}{60-30}$ = $1.12 per mile

So the equation will be,

y = 1.12x + b

Since this line passes through (30, 53.55),

53.55 = 1.12(30) + b

b = 53.55 - 33.6

b = 19.95

So the expression representing charges for the company (1) will be,

y = 1.12x + 19.95

For company (2),

Per mile charges = slope of the line

m = $\frac{78-56.75}{50-25}$

m = $0.85 per mile

Equation for the charges will be,

y = 0.85x + b

Since this line passes through (25, 56.75),

56.75 = 0.85(25) + b

b = 56.75 - 21.25

b = 35.5

Therefore, equation representing total charges for company (2) will be,

y = 0.85x + 35.5

By comparing per mile charges,

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Steven plans to drive 85 km in rental truck.

Charges for company (1),

y = 1.12x + 19.95

y = 1.12(85) + 19.95

y = $115.15

Charges for company (2),

y = 0.85x + 35.5

y = 0.85(85) + 35.5

y = $107.75

Difference in charges of both the companies = 115.15 - 107.75 = $7.4

Therefore, company (2) is $7.4 cheaper.

6 0

3 years ago

Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-

kondaur [170]

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is:

$y = \frac{3}{4}x - \frac{15}{4}$

<h3>Solution:</h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

We have to find equation of line

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

$\frac{3}{2}x - 2y = \frac{-17}{2}$

Rearrange the above equation into slope intercept form

$\frac{3x}{2} + \frac{17}{2} = 2y\\\\y = \frac{3x}{4} + \frac{17}{4}$

On comparing the above equation with slope intercept form y = mx + c,

$m = \frac{3}{4}$

So the slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is $m = \frac{3}{4}$

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also $m = \frac{3}{4}$

Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)

Substitute $m = \frac{3}{4}$ and (x, y) = (1 , -3) in slope intercept form

y = mx + c

$-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}$

Thus the required equation of line is:

substitute $m = \frac{3}{4}$ and $c = \frac{-15}{4}$ in slope intercept form

$y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}$

Thus the equation of line is found out

3 0

3 years ago

Please help! What values of b and c make △QRS≅△WVX?

BabaBlast [244]

Answer:

b = 12 and c = 5

Step-by-step explanation:

For them to be congruent, the triangles must be congruent by HL, so c+44 = 5b - 11 and b + 34 = 10c - 4. From the first equation, we get that c = 5b - 55. We can substitute this into the second equation and get: b + 34 = 10(5b-55) - 4 = 50b -554 -> 49b =588 -> b = 12. We use this to solve for c: c = 5b -55 = 5(12) - 55 = 60 - 55 = 5. Therefore, b = 12 and x = 5.

I changed up my solution (sorry for the careless mistake), but I hope this helps! :)

7 0

3 years ago

Read 2 more answers