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1 year ago

Explain what is meant by intercepts with the axes give examples of y and x intercepts

1 answer:

7 0

Intercepts with the axes are where your line touches the x or y axis. An example is a straight line, say, y=4x+2. In this case, the y-intercept is 2 because the line touches the y-axis at (0, 2). With y=mx+b format, the y-intercept is b. To find the x-intercept of an equation in y=mx+b format, set y to zero and solve for x. In a parabola, the x-intercepts would be the roots. An example of this is x^2 - 5x + 4 = 0. The roots here are (4,0) and (1,0). Hopefully this helped.

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Billy is helping to make pizzas for a school function. He's made 25 pizzas so far. His principal asked him to make at least 30 p

malfutka [58]

Answer:

5 ≤ x ≤ 50; Billy needs to make at least 5 more pizzas but no more than 50

Step-by-step explanation:

Let

x -----> the number of pizzas

we have the compound inequality

$30 \leq x+25 \leq 75$

Divide the compound inequality into two inequalities

$x+25 \leq 75$ ----> inequality A

$x \leq 75-25$

$x \leq 50\ pizzas$

The solution of the inequality A is the interval -----> (-∞,50]

$30 \leq x+25$ -----> inequality B

$30-25 \leq x$

$5 \leq x$

Rewrite

$x \geq 5$

The solution of the inequality B is the interval -----> [5,∞)

therefore

The solution of the compound inequality is

(-∞,50] ∩ [5,∞)=[5,50]

$5\leq x \leq 50$

Billy needs to make at least 5 more pizzas but no more than 50

8 0

3 years ago

Read 2 more answers

Choose all answer that are correct

Ludmilka [50]

The answer would be B and Dbecause if you use the formula y-b=m(x-a) where m is the gradient, and (a,b) are a point on the line.
So m= (y2-y1)/(x2-x1) = (4-1)/(3-(-3)) = 3/6 = 1/2
And by using (a,b) this tells us that a=-3 when b=1 AND a=3 when b=4
Therefore the full equation must be either
y-1=1/2(x+3) AND
y-4=1/2(x-3)
Hope this helps :-)

3 0

4 years ago

2/5x+1/4x=39<br><br><br> what is x

vitfil [10]

Answer:

x is equal to 60

5 0

3 years ago

Read 2 more answers

What is 50% of 80? part ? / whole ? = % / 100

Lapatulllka [165]

50% of 80 = 50% = .5 80x.5=40

I don’t understand what you mean by part and whole

6 0

3 years ago

What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys

Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

If the system of linear equations has one solution, then the two line are intersected
If the system of linear equations has no solution, then the two line are parallel
If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0

3 years ago