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Ad libitum [116K]
3 years ago
12

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

Mathematics
1 answer:
icang [17]3 years ago
4 0
I believe the answer is y = -5/2x + 6
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Data from an independent research company found that the annual cost per worker for insurance​ (health, life,​ liability, etc.)
lesantik [10]

Answer:

The cost per worker goes in five years from $67.81 at 1997, to $394.14 in 2001. It is an increase of $326.33 (481%).

f(0)=67.81e^{0.44\cdot 0}=67.81*1=67.81\\\\f(1)=67.81e^{0.44\cdot1}=67.81*1.553=105.29\\\\f(2)=67.81e^{0.44\cdot2}=67.81*2.411=163.48\\\\f(3)=67.81e^{0.44\cdot3}=67.81*3.743=253.84\\\\f(4)=67.81e^{0.44\cdot4}=67.81*5.812=394.14\\\\

Step-by-step explanation:

The annual cost per worker is modeled by the function:

f(x)=67.81e^{0.44\cdot x}

where x = years from 1997.

We have to calculate the cost per worker from 1997 to 2001, according to the function f(x).

We have:

f(0)=67.81e^{0.44\cdot 0}=67.81*1=67.81\\\\f(1)=67.81e^{0.44\cdot1}=67.81*1.553=105.29\\\\f(2)=67.81e^{0.44\cdot2}=67.81*2.411=163.48\\\\f(3)=67.81e^{0.44\cdot3}=67.81*3.743=253.84\\\\f(4)=67.81e^{0.44\cdot4}=67.81*5.812=394.14\\\\

The cost per worker goes in five years from $67.81 at 1997, to $394.14 in 2001. It is an increase of $326.33 (481%).

5 0
3 years ago
the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?
stepladder [879]
I would more detail so I can better answer your question for you

5 0
3 years ago
Please answer with steps shown. Thanks!
maks197457 [2]

Answer: q = 40

Step-by-step explanation:

Given the quadratic formula as

x = [-b +/-√(b^2 -4ac)]/2a

b = -14

a = 1

c = q

Difference d between the two roots.

d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a

d = 2√(b^2 -4ac)/2a

d = √(b^2 -4ac)/a

And d = 6

Substituting the values of a,b and c. We have;

6 = √[(-14^2) - (4×1×q)]

Square both sides

6^2 = 196 - 4q

4q = 196 - 36

q = 160/4

q = 40

The equation becomes

x^2 - 14x + 40 = 0

3 0
3 years ago
What is ?l4 as a mixed number?
PSYCHO15rus [73]

Answer:

It's a whole number. It cannot be a mixed number. Anyways I would have to know the denominator.

3 0
3 years ago
-3z+8=2z-12 what is the answer?
Gre4nikov [31]

Answer:

Step-by-step explanation:

Simplifying

-3a + 8 = 2z + -12

Reorder the terms:

8 + -3a = 2z + -12

Reorder the terms:

8 + -3a = -12 + 2z

Solving

8 + -3a = -12 + 2z

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -3a = -12 + -8 + 2z

Combine like terms: 8 + -8 = 0

0 + -3a = -12 + -8 + 2z

-3a = -12 + -8 + 2z

Combine like terms: -12 + -8 = -20

-3a = -20 + 2z

Divide each side by '-3'.

a = 6.666666667 + -0.6666666667z

Simplifying

a = 6.666666667 + -0.6666666667z

3 0
3 years ago
Read 2 more answers
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