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Zolol [24]
3 years ago
7

70 points and i’ll give brainliest!! please answer all the questions on the page! must show work and how you got the answer. ple

ase help i’m desperate!!!

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

6. One variable only so pretty straightforward.

length-x+4

width-x

x+x+4=80

2x=76

x=38

x+4=42

answer: length 42cm and width 38cm

7. Another money problem!

n-# of nickels

q-# of quarters

n=3+q

0.05n+0.25q=2.85

Substitution works like a charm!

0.05(3+q)+0.25q=2.85

0.15+0.05q+0.25q=2.85

0.3q=2.7

q=9

n=3+q

n=3+9

n=12

answer: 9 nickels and 12 quarters

8. One variable situation again.

Ann's money-2b+9

Betty's money-b

b+2b+9=60

3b=51

b=17

2b+9=43

answer: Ann has $43 and Betty has $17.

9. # of red m&m's-x+1

# of blue m&m's-x

x+1+x=13

x=6

x+1=7

answer: 6 blue and 7 red m&m's

10. a-number of adult tickets

s-number of student tickets

a+s=785 ----> a=785-s

5a+2s=3280

5(785-s)+2s=3280

-3s=-645

s=215

a+s=785

a+215=785

a=570

answer: 215 children tickets and 570 adult tickets

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52

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A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th
STatiana [176]

Answer:

The equation for the curve is:

f(x) = 7*e^{2*x}

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

f(x) = A*e^{k*x}

Replacing that in the second equation, we get:

k*A*e^{k*x} = 2*A*e^{k*x}

From that equation, we can conclude that k = 2

Then:

f(x) = A*e^{2*x}

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

f(0) = 7 =  A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A

Then we can conclude that the equation for the curve is:

f(x) = 7*e^{2*x}

6 0
2 years ago
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