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2 years ago

The sum of three consecutive positive numbers is 147. Find the product of the greatest and the

Mathematics

1 answer:

Dima020 [189]2 years ago

5 0

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

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How you divided numbers

german

Answer:

Step-by-step explanation:

It really depend what number, or what type of number you are multiplying, it's kind of like multiplication you're just doing it backwards. Say that you were trying to divide 20 by 5 you think in your head OK five times what equals 20 and your answer would be four because 5×4 is 20 that's the easiest way to think of it that did not help you with your question tell me in the comments and I will find a better way to explain it.

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3 years ago

a jogger is running around a 3/4 mile track and is 2/3 around the track. How far has the jogger traveled?

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

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3 years ago

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Can somebody help me please.

serg [7]

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Step-by-step explanation:

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2 years ago

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola: $y=k (x-\frac13)^2$

Part 1

If the curve passes through point $(\frac23 ,1)$ , this means that when $x=\dfrac23$ , $y = 1$

Substitute these values into the equation and solve for $k$ :

$\implies 1=k \left(\dfrac23-\dfrac13\right)^2$

$\implies 1=k \left(\dfrac13 \right)^2$

Apply the exponent rule $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

$\implies 1=k \left(\dfrac{1^2}{3^2} \right)$

$\implies 1=\dfrac{1}{9}k$

$\implies k=9$

Part 2

The chord of a parabola is a line segment whose endpoints are points on the parabola.

We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

$\implies \pm \dfrac13 = x-\dfrac13$

$\implies x=\dfrac23, x=0$

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:

$\implies \dfrac23-0=\dfrac23$

**Please see attached diagram for drawn graph. Chord is in red**

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2 years ago

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

Rasek [7]

To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.
$f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= \frac{y-4}{-8} \\ f^{-1}(x)=\frac{x-4}{-8}$

From the work show, it can be seen that Talib's work is correct.

4 0

3 years ago

Read 2 more answers