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Natalka [10]
2 years ago
9

F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7

Mathematics
1 answer:
djyliett [7]2 years ago
3 0

Answer:

{5x}^{2}  + 6x =  - 8

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

{ - 12x}^{2}  - 15x + 7 - ({ - 7)x}^{2}  + 9x - 15

Now we can solve for the equation.

{ - 5x}^{2}  - 6x - 8 = 0 \\   {5x}^{2}  + 6x =  - 8

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Find the following dates in the units given:
11Alexandr11 [23.1K]

Answer and step-by-step explanation:

a.  4 litres in 5 minutes (litres per minute)

4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes

b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes

60 minutes = 4*15 minutes

4 * 4 = 16 litres per hour

c. 800 kilowatt hours in 2 months

1 year = 12 months = 2*6 months

kilowatt per year = 800 * 6 = 4800 kilowatt per year

Hope this helped :3

3 0
3 years ago
Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun
RUDIKE [14]

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

8 0
3 years ago
Use factoring to write an expression that is equivalent to 28w - 40.
mote1985 [20]

Answer:

4(7w+10)

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A school is arranging a field trip to the zoo. The school spends 635.85 dollars on passes for 43 students and 2 teachers. The sc
aalyn [17]

Answer:

$22.67

Step-by-step explanation:

The school spends 635.85 dollars on passes for 43 students and 2 teachers, then the school spends

\$635.85 :(43+2)=\$14.13 per person.

The school also spends 367.22 dollars on lunch for just the students, so the school spends

\$367.22 :43=\$8.54 per person.

In total, a pass and lunch for each student was spent

\$14.13+\$8.54=\$22.67

7 0
3 years ago
27/100 irrational or rational?
andriy [413]

Answer:

It would be a rational number.

Step-by-step explanation:

An easy way to tell if a number is rational is by seeing if it can be put in fraction form. As you can see, 27/100 is a fraction, so it is rational.

8 0
3 years ago
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