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2 years ago

What is the equation of the following linear funchon?

Mathematics

1 answer:

juin [17]2 years ago

3 0

Answer:

3x+8

Step-by-step explanation:

linear function formula ax+b

when x=3 3a+b=17 and when x=6 6a+b=26

3a=9 a=3,

when x=3 3.3+b=17 9+b=17 b=8

3x+8

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6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.

oee [108]

Cosine = adjacent/hypothenuse
Adjacent = angle between the right angle and C
Adjacent = 21
Hypothenuse = longest side
Hypothenuse = 35

Solution: 21/35

6 0

3 years ago

What is the initial value in the equation f(x) = 350(1 - 0.12)^x? *

kvasek [131]

Given:

The function is:

$f(x)=350(1-0.12)^x$

To find:

The initial value of the function.

Solution:

We have,

$f(x)=350(1-0.12)^x$

The value of the function at x=0 is called the initial value of the function.

For x=0, we get

$f(0)=350(1-0.12)^0$

$f(0)=350(0.88)^0$

Clearly 0.88 is a non zero number and zero to the power of a non zero number is always 1.

$f(0)=350(1)$

$f(0)=350$

Therefore, the initial value of the function is 350.

5 0

3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

$\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640$

To have a profit of 200, we need to sell:

$-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2} = 60$

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0

3 years ago

(09.02)

dmitriy555 [2]

X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4

Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.

4 0

2 years ago

Replace ∗ with a monomial so that the expression can be rewritten as a square of a sum or a difference: 25a^2+ ∗ + 1/4 b^2

zavuch27 [327]

Answer:

be rewritten as a square of a sum

Step-by-step explanation:

4 0

2 years ago