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3 years ago

Graph y=3/4x−3. Identify the x-intercept.

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

Answer:

x=(4y)/(3)+4

Step-by-step explanation: hope this helps :D

saw5 [17]3 years ago

5 0

Answer: 4

You're welcome

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Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and

andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

$\frac{n!}{n1!*n2!*...*nk!}$

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

$\frac{15!}{7!*5!*3!}$

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.

5 0

3 years ago

What is the equation of a line perpendicular to:

Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

7 0

2 years ago

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

NemiM [27]

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

$6 in^2 : x in^2 = (3 in)^2 : (2 in)^2$

$\frac{6}{x} = \frac{3^2}{2^2}$

$\frac{6}{x} = 2.25$

$\frac{6}{x}*x = 2.25*x$

$6 = 2.25x$

$\frac{6}{2.25} = \frac{2.25x}{2.25}$

$2.67 = x$

Area of ∆EDF = 2.7 in²

5 0

3 years ago

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit

Hitman42 [59]

To find the area of the circle, you will use the formula for finding area of any circle.

The radius is half the diameter.

A = pi x r^2
3.14 x 13^2
A = 530.66 square units

The area is 530.66 square units.

3 0

3 years ago

Read 2 more answers

What is the correct factorization of<br> 6x2 + 24x?<br><br> Hurry

blagie [28]

Answer:

6x^2*(x+4)

Step-by-step explanation:

hope this helps! :)

4 0

3 years ago