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miss Akunina [59]
3 years ago
7

Find expressions for each of the following. Please make sure to show your work!

Mathematics
1 answer:
masha68 [24]3 years ago
3 0
A)
g(a) = (3a - 5)^2 + 4a - 1

b)
g(a+2) = (3(a+2) - 5)^2 + 4(a+2) - 1
g(a+2) = (3a + 6 - 5)^2 + 4a + 8 - 1
g(a+2) = (3a +1)^2 + 4a + 7
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With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hour
Monica [59]

1/9 + 1/2 = 1/x

Let x = length of time it will take both hoses to work together

Multiply both sides by 18x.

2x + 9x = 18

10x = 18

x = 18/10

x = 9/5

x = 1.8 hours

In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.

5 0
3 years ago
Which equation finds the area of a square with a side length of 5 n Superscript 4 units?
Oduvanchick [21]

Answer:

area of a square is S^2

s = 5n^4

area = (5n^4)^2 = 25n^8

Step-by-step explanation:

4 0
3 years ago
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Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? Explain your reasoning.
pochemuha

Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.

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9 0
3 years ago
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Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car d
Olegator [25]

Answer:

The speed of the cars is 32 \frac{km}{h}

Step-by-step explanation:

First we must first have the clear concept that speed=\frac{distance}{time} or s=\frac{d}{t}

Our question is the speed of the cars then the variable to clear will be s.

Let's raise the equation for each car taking into account that we have the following data:

Car 1: s_{1}=s+1 , t_{1}=2 and d_{1}= d_{2}

Car 1: s_{2}=s-10 , t_{2}=3 and d_{1}= d_{2}

The two cars travel the same distance so we will raise the distance formula for each car and then match them.

<em>Car 1</em>

d_{1}=s_{1}*t_{1}

d_{1}=(s+1)*2

d_{1}=2s+2

<em>Car 2</em>

d_{2}=s_{2}*t_{2}

d_{2}=(s-10)*3

d_{2}=3s.30

d_{1}=d_{2}

2s+2=3s-30

2+30=3s-2s

32=s

The speed of the cars is 32 km/hr

7 0
3 years ago
⭐ Question 3
mash [69]

Answer:

1/10

Step-by-step explanation:

Because there are 10 markers and only one is yellow. so you have a one in ten chance to pull a yellow marker.

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!</em>

8 0
2 years ago
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