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Zinaida [17]
2 years ago
9

PLEASE HELP

Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

The equation is y = x + 9.

Step-by-step explanation:

We need to equation of SR

Slope = slope of UV = 3/2

= 1.

One point on SR is (-2, 7) so using the point-slope form of the equation:

y - y1 = m(x - x1)

Here m = 1, x1 = -2, y1 = 7:

y - 7 = 1(x - (-2))

y - 7 = x + 2

y = x + 9

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Dewey buys 10 folders for $6.50. Orioles folders cost $0.50 each and Ravens folders cost $0.75 each. How many of each type of fo
Dennis_Churaev [7]

Answer: he bought 6 of the .75cent then 4 of the .50c

Step-by-step explanation:

4 0
3 years ago
F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.
BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

4 0
3 years ago
HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
2 years ago
1
mafiozo [28]

Answer:

discount price = 0.75p

Step-by-step explanation:

100%-25% = 75% or 0.75

3 0
2 years ago
Please help solve!!<br> -5|x|+4=14
eduard

Answer:

2

Step-by-step explanation:

|x| means absolute value

|x| means if x is positive or negative, its still positive

-5|x|+4=14

-5|x|=10

|x|= -2

answer is 2

3 0
1 year ago
Read 2 more answers
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