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3 years ago

What is the y-intercept of the function f(x)=4 – 5x? A:-5 B:-4 C:4 D:-5

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

Answer: option C is the correct answer

Step-by-step explanation:

The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .

The equation of a straight line is modelled using the slope - intercept equation of

y = mx + c

Where m is the slope( change in value of y/ change in value of x.

c = the y-intercept

Looking at the function given,

f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.

Rearranging the function, it becomes

f(x)= – 5x +4

The intercept is 4

Option C is the correct answer.

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What type of line is the graph of y = 7?<br><br> Vertical<br> Horizontal<br> Rising<br> Falling

Ksivusya [100]

The line y = 7 would just be a Horizontal line on 7
Basically, you go up 7 units then draw a straight horizontal line across
Hope this helps!

5 0

3 years ago

Read 2 more answers

What is the area of this triangle? A=bh2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and

vichka [17]

Answer:

30 m²

Step-by-step explanation:

What is the area of this triangle? A=bh/2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and third side labeled 13 m.

Area of a triangle = bh/2

b = Base = 5m

h = Height = 12m

Area of the triangle = 5m × 12m/2

= 60m²/2

= 30 m²

6 0

2 years ago

The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th

Alex777 [14]

The x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

From the graph:

x-intercept = (0, 0) and (8, 0)

Maximum value of the graph = 270 at x = 4

Increasing in the interval x ∈ (0, 4)

Decreasing in the interval x ∈ (4, 8)

As the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Rate of function = (270-120)/(4-1) = 50

Thus, the x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0

2 years ago

EThe graph of a quadratic function passes through the points (6,0) and (p,0). The maximum point

MA_775_DIABLO [31]

Answer:

p = - 5

Step-by-step explanation:

The vertex of the function is (0.5, 30.25 )

Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical

with equation x = 0.5

The axis of symmetry passes through the midpoint of the roots, thus

$\frac{6+p}{2}$ = 0.5 ( multiply both sides by 2 )

6 + p = 1 ( subtract 6 from both sides )

p = - 5

6 0

3 years ago

Solve 3x + 7 > -x - 9. Show each step of your work.

Kruka [31]

Answer:

x > -4

Step-by-step explanation:

Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:

3x + 7 > -x -9

3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides

3x > -x -16

3x + x > -x -16 + x add x to both sides

4x > -16

$\frac{4x}{4}$ > $\frac{-16}{4}$ divide both sides by 4

x > -4

In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.

3 0

2 years ago