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3 years ago

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PLEASE MATH HELP ALGEBRA 1

1 answer:

S_A_V [24]3 years ago

3 0

F(x) shows number of bees and g(x) shows number of flowers
f(x)=1500*(0.88)^n
g(x)=800-25n
n shows month
B)n=6
1500*(0.88)^6=696
800-25*6=800-150=650
c)it's hard to say because you should find n in this equation
1500*(0.88)^n=800-25n
but it seem n is between 6 and 7

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<u>Step 6: Solve for c in the second equation</u>

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

<u>Step 8: Substitute d and c into the first equation</u>

<u /> $28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

3 years ago

Read 2 more answers

The teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as th

wariber [46]

4+2x = x (x = student in smaller group)

4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group
4 + 2(8) = 20 students in the larger group

8 0

4 years ago

When two numbers are multiplied together, the result is 128.

fomenos

Answer:

32 and 4

Step-by-step explanation:

128=2^7

(8xa)xb=128

axb=2^4=16

(8x4)x4=128

3 0

2 years ago

If f(x)=7x what is the inverse of f(x)

Brums [2.3K]

Answer:

f(x)=x/7

Step-by-step explanation:

f(x)=7x

y=7x

x=7y (switch y and x for inverse)

x=7y (isolate y)

x/7=y

The inverse of f(x)=7x is f(x)=x/7

8 0

3 years ago

At the car show Inez saw a truck wheel shaped like a circle with a radius of 3 ft. She wants to know the area of the truck wheel

Nadusha1986 [10]

Answer:

$28.27ft^2$

Step-by-step explanation:

To solve this problem, we can use the area of a circle formula:

$A=\pi r^2$

<em>A = area</em>

<em>r = radius</em>

Lets plug the values into the equation:

$A=\pi (3^2)$ Calculate $3^2$

$A=\pi (9)$ Multiply $\pi$ and 9 together

$A=28.27$

The area of the truck wheel is $28.27ft^2$

3 0

3 years ago