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xxMikexx [17]
3 years ago
9

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Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
Hyfhihbhuunhmmhjn. Njjb m
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On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (0, 3) and then goes down through
grin007 [14]

Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

\frac{y - 1}{1 - 3} = \frac{x - (- 4)}{-4 - 0}

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒ y = \frac{1}{2} x + 3

Again, the equation of the line passing through the points (0,1) and (4,-1) is

\frac{y - (- 1)}{- 1 - 1} = \frac{x - 4}{4 - 0}

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒ y = 1 - \frac{1}{2}x

Therefore, the function is defined as

f(x) = \frac{1}{2} x + 3 for x ≤ 0 ........... (1) and  

f(x) = 1 - \frac{1}{2}x for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

6 0
3 years ago
Read 2 more answers
Horatio has taken out a $12,450 unsubsidized Stafford loan to pay for his four-year undergraduate education. The loan has an int
love history [14]
I'll just give you an answer based on my understanding.
I'll use the formula for compounding interest.

A = P(1+r/n)^nt

A = future value of the loan including interest
P = principal of the loan
r = interest rate
n = number of times the interest is compounded per year (monthly=12)
t = number of years the money is loaned for

Given: 
P = 12,450
r = 7.3%, compounded monthly
t = 10 years

A = 12,450 (1+0.073/12)^12*10
A = 12,450 (1.006)¹²⁰
A = 12,450 (2.05)
A = 25,522.50

25,522.50 - 12,450 = 13,072.50 total interest paid.

3 0
3 years ago
Read 2 more answers
Which polynomial represents the sum below?
julia-pushkina [17]
A. 5x^2-13x-5 :))))))
5 0
3 years ago
Please Help and thank you so much
Pachacha [2.7K]

Answer:

C.

Step-by-step explanation:

A dilation is NOT referred to as a rigid transformation because the image is NOT necessarily the same size as the pre-image. Therefore, the answer is C.

3 0
3 years ago
I need help with this
Ksju [112]

Answer:

C would be the correct answer

Step-by-step explanation:

7 0
2 years ago
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