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user100 [1]
2 years ago
14

Jamal is running 42 kilometers. The amount of time t it takes Jamal to run varies inversely with the rate, r, at which he runs,

write the inverse variation equation that represents this situation
Mathematics
1 answer:
leva [86]2 years ago
6 0

Answer:

t α 1 /r ; t = k/r

Step-by-step explanation:

Given that :

Time taken, t varies inverse as rate, r

MATHEMATICALLY,

t α 1 /r

Hence,

t = k/r ;

Where, k is the proportionality constant

Hence, the situation could be expressed as :

t = k/r OR

t α 1 /r

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F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?
Gwar [14]
<h3>Answer:     Negative</h3>

======================================================

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

3 0
3 years ago
Jemer lost his ball and decided to buy a new one. the new ball cost $300. which is three times the price of his old ball. how mu
shusha [124]

Answer:

The cost of the old ball was $100.

Step-by-step explanation:

The cost of the new ball = $300

The new ball has three times the price of his old ball.

So, let the price of the old ball be = x

As per situation, we get the equation:

3x=300

Dividing both sides by 3:

\frac{3x}{3}= \frac{300}{3}

=> x = 100

Hence, the cost of the old ball was $100.

8 0
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givi [52]

Answer:

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Now using the variables in the question;

V = area of base * height of pyramid

Area of base = V/height of pyramid

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