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2 years ago

What are two numbers I can use to multiply to 4, but also i can add those numbers to equal 2? Any integers are okay.

1 answer:

8 0

No 'real' numbers can do that job.
The two numbers are complex.

They are ...

1 + i √3
and
1 - i √3 .

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

sveticcg [70]

Answer:

Part 1: 25x ≥ 600

Part 2: 15y ≥ 600

Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

1. Money earned by Jamie washing cars for $25 each

Let x represent the number of cars Jaime washes.

2. Money earned by Stella making pecan pies for $15 each

Let y represent the number of pies she makes

3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

15y ≥ 600

y ≥ 600 / 15

y ≥ 40

From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

y ≥ 40 ∩ y ≤ = 40 = 40.

Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

6 0

3 years ago

Question 1:

nexus9112 [7]

Answer:

#1) A 3%

#2)B 31.23

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Suppose that y varies directly with x, and y=3 when x=8

spayn [35]

we are given

y varies directly with x

so, we can write equation as

$y=kx$

where

k is a constant

now, we need to find k

we are given

y=3 when x=8

so, we can plug it and find k

$3=k*8$

$k=\frac{3}{8}$

now, we can plug it back

$y=\frac{3}{8}x$

(A)

we have got equation as

$y=\frac{3}{8}x$

for finding inverse , we can switch x and y

$x=\frac{3}{8}y$

now, we can solve for y

$8*x=8*\frac{3}{8}y$

$8*x=3y$

$f^{-1}(x)=\frac{8x}{3}$ ............Answer

(B)

we have

$y=\frac{3}{8}x$

we can plug x=4 and find y

$y=\frac{3}{8}*4$

$y=\frac{3}{2}$ ................Answer

4 0

3 years ago

What is the square root of PEMDAS?

Aleks04 [339]

Answer:

square roots fall under exponets

Step-by-step explanation:

5 0

2 years ago

F(x)=(4t^2-t) (t^3-8t^2+12) in product rule.

gavmur [86]

$\dfrac{d}{dt} [(4t^2-t)(t^3 -8t^2+12)]\\\\\\=(4t^2-t)\dfrac{d}{dt}(t^3-8t^2 +12) + (t^3 -8t^2 +12) \dfrac{d}{dt} (4t^2 -t)\\\\\\=(4t^2 -t)(3t^2-16t)+(t^3-8t^2+12)(8t-1)\\\\=12t^4-64t^3 -3t^3+16t^2+8t^4-64t^3+96t-t^3+8t^2-12\\\\=20t^4-132t^3+24t^2+96t-12$

6 0

2 years ago