All categories

3 years ago

The graph shows the functions f(x), p(x), and g(x):

Mathematics

1 answer:

Kruka [31]3 years ago

8 0

Two functions have equal values where their graphs cross.

A) The solution to the pair of equations
.. y = p(x)
.. y = f(x)
will be where the graphs intersect, at (x, y) = (-3, -3).

B) We already know that (-3, -3) is one solution to y=f(x). The graph also appears to go through the point (0, 0).

C) p(x) = g(x) where their graphs cross, at x = -6. Both functions have the value 1 for that value of x.

You might be interested in

Can someone help me with this? Write 437.09 as a mix number

AlexFokin [52]

The answer of that question is19.

6 0

3 years ago

What is the equation of the line that is parallel to the given

finlep [7]

Answer

O 4x+3y=-6

Step-by-step explanation:

Hello, I can help you witht this,

to solve this you need

step one

the line we are looking for is paraller to the line in the graph, it means both of then have the same slope.

find the slope of the line in the graph

remember

to find the slope of a line with two known points you can use

Let

$P1(x_{1},y_{1})}\\P1(x_{2},y_{2})\\slope\\s=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

pick two points from he graph

P1(0,3)

P2(3,-1)

put the values into the equation

$slope(m)\\m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{-1-3}{3-0}\\m= \frac{-4}{3}$

so, the slope of the line we are looking for is m=-4/3 and passes through the point (-3,2)

step 2

use the equation

$y-y_{1}=m(x-x_{1})$

to ding the equation of the line

P1(-3,2)

$y-y_{1}=m(x-x_{1})\\y-2=\frac{-4}{3} (x+3})\\isolate\ y\\y-2=\frac{-4x}{3}-4\\y=\frac{-4x}{3}-4+2\\y+\frac{4x}{3}=-2\\multiply\ each\ side\ by\ 3\\3(y+\frac{4x}{3})=3*-2\\\\3y+4x=-6\\4x+3y=-6\\$

and that's all, that is the equation of the line that is parallel to the given

line and passes through the point (-3, 2).

Have a good day.

7 0

3 years ago

Https://skribbl.io/?kX5sVzzk3Iui join skribble.io game

Klio2033 [76]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si

pshichka [43]

Answer:

An equation modeling the situation is : 4 m + 6 n = 180

Step-by-step explanation:

Here, the total number of guests in the banquet hall = 180

Let us assume number of tables ordered with capacity of

4 people each = m

And number of tables ordered with capacity of 6 people each = n

So, total number of people in m tables = m x ( Capacity of 1 table)

= m x (4) = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

= n x (6) = 6 n

So, the total capacity of ( m + n) tables = 4 m + 6 n

Also, the total required capacity = 180

⇒ 4 m + 6 n = 180

Hence, an equation modeling the situation is : 4 m + 6 n = 180

3 0

3 years ago

The width of a rectangle is 8y- 1.5 feet and the length is 1.5y+9 feet. Find the perimeter of the rectangle.

lyudmila [28]

Answer:

$P=19y+15$

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of a rectangle is expressed as

$P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\$

collect like terms

$P=3y+16y+18-3\\\\P=19y+15$

6 0

3 years ago