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il63 [147K]
3 years ago
7

What is the range of the function f(x) = -4|x + 1| − 5?

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

f(x) ≤ -5

Step-by-step explanation:

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find how long it will take for an investment sum of $40000 to generate simple interest of $8000 at 5% per annum​
guapka [62]

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is <em>I = Prt</em>, where

  • <em>P</em> is the investment
  • <em>r</em> is the annual rate in decimal
  • <em>t</em> is the time

∵ The investment is $40000

∴ <em>P</em> = 40000

∵ The simple interest is $8000

∴ <em>I </em>= 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

∴ <em>r</em> = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

∵ 8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

∴ 4 = t

∵ t is the time of investment

∴ It will take 4 years

6 0
3 years ago
Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the
Artemon [7]

Answer:

StartFraction 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

Step-by-step explanation:

General quadratic equation: ax^2 + bx + c

where a is the coefficient of the quadratic term, b is the coefficient of the linear term and c is the independent term. Here the equation is: x^2 – 2x – 3, so a = 1, b = -2 and c = -3

Quadratic formula:

x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

Replacing

x = \frac{2 \pm \sqrt{(-2)^2-4(1)(-3)}}{2(1)}

8 0
3 years ago
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3 years ago
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An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
Gnoma [55]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

  total profit

Her profit is the amount of money she has left over after paying for

the light fixtures

∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

∵ Her profit is $y

∴ y = 100 - 2.5 x

y = 100 - 2.5 x is the equation that represents her total profit from

the project

Step-by-step explanation:

4 0
4 years ago
The robotics team needs to purchase $350 of new equipment. Each of the x students on the team plans to fundraise and contribute
Stels [109]

Answer:

I assume its asking for the number of students on the team (X) The answer would be 35

Step-by-step explanation:

The problem says, each student of the team plans to contribute equally.

If you divide 350 by 10, you will get 35. Which is, 35 people have paid $10 which comes up to $250.

Let me know if i was right

4 0
4 years ago
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