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skelet666 [1.2K]
3 years ago
13

What are the values a, b, and c in the following quadratic equation? −6x = −8x2 − 13

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

Quadratic equation follows form: ax^2 + bx + c = 0

a = 8

b = - 6

c = 13

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Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
12345 [234]

Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : C(a)=7500a-1500, M(C)=0.9C- 50  and  M(C(a))=6750a-1400

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :  

C(a)=7500a-1500

Substitute a=1.5,

C(1.5)=7500(1.5)-1500

C(1.5)=11250-1500

C(1.5)=9750

Now, taking function M(C)=0.9C- 50

Substitute C=9750,

M(9750)=0.9(9750)- 50

M(9750)=8775- 50

M(9750)=8725

Now, taking function M(C(a))=6750a-1400

Substitute a=1.5,

M(C(1.5))=6750(1.5)-1400

M(C(1.5))=10125-1400

M(C(1.5))=8725

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

8 0
3 years ago
Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S
TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0
3 years ago
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you
Lena [83]

Answer:

10 hours

Step-by-step explanation:

7 0
2 years ago
Can someone please help me? :(
Anit [1.1K]

Answer:

____________________________________

\large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}

\large{ \boxed{ \tt{♡ \: VOLUME \:  = l \:  \times b  \:  \times h}}}

\longrightarrow \: 4 \frac{1}{3}  \times 3 \frac{1}{3}  \times 4

\longrightarrow \:  \frac{13}{3}  \times  \frac{10}{3}  \times 4

\longrightarrow \:  \frac{540}{9}

\longrightarrow \tt \: 57 \frac{7}{9}  \: ft ^{3}

  • Our final answer is 57 7 / 9 ft^3 .

- HappY LearninG ^_________^

4 0
2 years ago
Is 3 tenths mutilipied by 100 equals 300 thousandths
Kisachek [45]
Yes your right it equals 300 thousandths
4 0
2 years ago
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