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2 years ago

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number of

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

Answer:

The manager's prediction is false

Step-by-step explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

2000x+4000=3500x-40000

Collect Like Terms

2000x+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

$\frac{-1500}{-1500} = \frac{-44000}{-1500} \\= \frac{-44000}{-1500}\\x= -29.3$

Hence, the manager's prediction is not true because x $\neq$ 35

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1 year ago

Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4

Andrei [34K]

Answer:

a) (x + 5) (x - 5)

b) (x + 5i) (x - 5i)

c) (x + (5i/2)) (x - (5i/2))

d) (x-1)(x-1)

e) x +i√3 +1) (x -i√3+1)

Step-by-step explanation:

To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x

a) f(x) = x²-25

x²-25 = 0

⇒(x + 5) (x - 5)

b) f(x)=x²+25

x² + 25 = 0

x²= -25

x = √-25

x = √25i

x = ±5i

⇒(x + 5i) (x - 5i)

c) f(x)=4x²+25

4x²+25 = 0

4x²= -25

x² = -25/4

x = ±√(-25/4)

x = ±(√25i)/2

x = ±5i /2

⇒(x + (5i/2)) (x - (5i/2))

d) f(x)=x²-2x+1

x²-2x+1 = 0

⇒(x - 1)²

e) f(x)=x²-2x+4

x²-2x+4 = 0

x²-2x = -4

x²-2x +1 = -4 +1

x²-2x + 1 = -3

(x-1)² +3 = 0

(x-1)²= -3

x-1 = √-3

x = ±√3i +1

⇒(x +i√3 +1) (x -i√3+1)

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1 year ago

What number is halfway between 60and 70

tatuchka [14]

Answer:

Step-by-step explanation:

70 - 60 = 10

10 / 2 = 5

Thus 65

5 0

2 years ago

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A tennis shop sold twenty $100 racquets at an 8% profit and ten $80 bags at a 15% loss. The profit on the combined transaction w

Sergeeva-Olga [200]

So first let me assume that the Total profit of the racquets are 8 percentage and not individually.

Now to find the profit we can do

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Now
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2 years ago

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