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Y_Kistochka [10]
3 years ago
10

Which point is not in the solution set of 3x+2y<12? A (1,4) B (2,3) C (3,1) D(4,-1)

Mathematics
2 answers:
arlik [135]3 years ago
6 0
Test each one out! Coordinates are written in (x, y) so just substitute each one

A) 3(1)+2(4) = 11
B) 3(2)+2(3) = 12
C) 3(3)+2(1) = 11
D) 3(4)+2(-1) = 10

Out of all these answers B has a value less than 12 so the answer is:

B (2,3)

julsineya [31]3 years ago
5 0
B. Would be the answer all others are valid .
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This graph displays a linear function. What is the rate of change?
ivolga24 [154]

Answer:

5/1 or 5

Step-by-step explanation: You find two points that the line goes on. So in this it would be 1,1 for the first one, the second one is 2,4. Then you go from the first point up or down to get to the same level at the second point. Then you go over to the left or right to meet the second point, in this graph you will go up 5 times to get to the same level. Then over 1 time to get to the point. Then you divide the rise over the run the rise is 5 and the run is 1, so you would do 5 divided by 1 and the answer of that is 5.

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8 0
3 years ago
Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator
rewona [7]

Answer:

f\left(-3\right)=\frac{126}{125}

Step-by-step explanation:

Given

f\left(x\right)\:=\:\left(5\right)^x+1

Putting x = -3 to find f(-3)

f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1

as

5^{-3}=\frac{1}{125}       ∵  \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

so

f\left(-3\right)=\frac{1}{125}+1

\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}

f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}

f\left(-3\right)=\frac{126}{125}      ∵ 1\cdot \:125+1=126

Thus,

f\left(-3\right)=\frac{126}{125}

6 0
4 years ago
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WINSTONCH [101]

Answer:


Step-by-step explanation:

1. 15/16

2. 2/1

3. 3/2

4. 41/50

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3 years ago
Darnel has $9 in a savings account. The interest rate is 10%, compounded annually.
aksik [14]

9514 1404 393

Answer:

  $2.98

Step-by-step explanation:

The amount of interest earned is ...

  I = P((1 +r)^t -1)

  I = $9(1.1^3 -1) ≈ $2.98

Daniel will earn about $2.98 in interest in 3 years.

6 0
3 years ago
Jack agrees to sell Tyler his pocketknife for 3 baseball cards. Tyler sells his soccer ball for 2 baseball cards. In what way ar
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Answer:

the baseball cards are used as currency in this example

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