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3 years ago

Can anyone help me pls

Mathematics

1 answer:

Nikitich [7]3 years ago

3 0

9514 1404 393

Answer:

A. some values (x = 4)

B. all values

C. no values

Step-by-step explanation:

If you subtract the right-side expression from both sides of an equation, so you get something of the form ...

f(x) = 0

Then there are three possibilities:

f(x) is some function of x . . . . "some values" make it true*

f(x) = 0 . . . . "all values" make it true; the equation is an identity

f(x) = constant (non-zero) . . . . "no values" of x will make it true

___

A: 3x = x +8

3x -(x +8) = 0

2x -8 = 0 . . . . . . . . true for "some" values of x, namely, x = 4

B: 5x -(x +x +x +x +x) = 0

0 = 0 . . . . . . . . . . . true for "all" values of x

C: 2(x +5) -(2x +5) = 0

2x + 10 -2x -5 = 0

5 = 0 . . . . . . . . . . . true for "no values" of x (always FALSE)

_____

* The possibility exists that the function f(x) does not have 0 in its range. In that case, there are no real solutions for the equation. For example |x|+1 = 0 has no solutions. For expressions linear in x, there will always be a solution.

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First of all, remember what the equation of a line is:

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Where:

m=slope

b=y-intercept.

Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

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To find b, think about what your (x,y) point means:(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3)

We need to find the value of b. The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

Plug in for x the number 14 and for y the number 3:
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y=mx+b or 3=2 × 14+b,

solving for b: b=3-(2)(14). b=-25.

Plug that in for b:
y=2x-25
Final answer:
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Read 2 more answers

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.

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3 years ago