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zloy xaker [14]
2 years ago
9

-5x + y = 56 and x + y = -4

Mathematics
1 answer:
12345 [234]2 years ago
6 0
The slope of -5x + y = 56 is 5

the slope of x + y = -4 is -1
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Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x
yuradex [85]

The equation which represents exponential decay is y=6(1/3)^{x}

Given four equations : 1)y=3^{x} -4, 2) y=2(4)^{x}, 3) y=3^{x}/2, 4) y=6(1/3)^{x}.

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like a^{x}.

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y=3^{x} -4

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=24^{x}

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y=3^{x}/2

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6(1/3)^{x}

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6(1/3)^{x}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

4 0
2 years ago
64 ounces in 8 cups unit rate
Veseljchak [2.6K]
So the unit rate is basically how many ounces in 1 cup?

So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.

64 = 8

64 / 8 = 8 / 8

8 = 1

So there are 8 ounces in 1 cup, which is your unit rate.
7 0
3 years ago
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the neare
Fiesta28 [93]

Answer:

6.4 meters per second

Step-by-step explanation:

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?

0.9 meters per second

1.6 meters per second

6.4 meters per second

10.4 meters per second

Speed = distance / time

Olympian's speed = 100 / 9.6 = 10.4 meters per second

Sarah's speed = 16.8 meters per second.

Difference in speed = 16.8 - 10.4 = 6.4

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

6 0
2 years ago
A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sof
lakkis [162]
Answer:
The answer is 408

Explanation:
20% of 510 is 102 and 510 - 102 is 408
8 0
2 years ago
What's the difference between perpendicular bisectors and altitudes
FromTheMoon [43]
Perpendicular bisectors help you find the centroid; altitudes help find the orthocenter. This is all in a triangle.
4 0
3 years ago
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