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belka [17]
3 years ago
12

(01.01 LC) What is the rational number equivalent to 1.28?(1 point)

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

  32/25

Step-by-step explanation:

Any finite-length, or repeating, decimal number is a rational number. Perhaps you want the number expressed as the ratio of two integers.

__

You can start by recognizing that the value of the number is one hundred twenty-eight hundredths, or 128/100.

This improper fraction can be reduced by removing a factor of 4 from numerator and denominator:

  128/100 = 32/25

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2×+3(×-4)=8 what the answer to this problem
Contact [7]

Answer:

4

Step-by-step explanation:

2x+3(x-4)=8

2x+3x-12=8

5x-12=8

5x-12+12=8+12

5x=20

5x/5=20/5

x=4

3 0
2 years ago
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What percentage is 420 grams of 750 grams?<br> %
vesna_86 [32]
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Answer: 56%

Explanation:

Divide the numerator by the denominator to get fraction's value:

420/750 =

420 ÷ 750 =

0.56
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3 years ago
1. Identify the polynomial.
maks197457 [2]

Answer:

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8 0
2 years ago
Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly
Alex17521 [72]

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

(A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

(A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)

As \ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0

So, \frac{dy}{dx}>0

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)

As \ln \left(\frac{2}{3}\right)=\ln(0.67)0

So, \frac{dy}{dx}

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  representsy=2\left(\frac{2}{3}\right)^x the given graph.

Hence, option (C) is correct.

6 0
3 years ago
Which equation represents a line with a slope of -6/5<br> and a y-intercept of 1?
Crazy boy [7]

Answer:

y = -6/5x + 1

Step-by-step explanation:

3 0
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