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ch4aika [34]
3 years ago
10

A and b are positive integers. Find −2a+3b if a^3 b^2=72.

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0
The answer for "-2a + 3b" is 5.

To solve this equation, you must first find "a" and "b". A^3 times B^2 = 72. In this case, a = 2 (2*2*2 = 8) and b = 3 (3*3 = 9) since their outcomes multiplied together equal 72.

Now you fill in for "a" and "b". "-2*2 + 3*3" before adding you do all the multiplying, which leaves "-4 + 9". Combining like terms gives you 5.

I hope this helps!!
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A ball was tossed up into the air. The height of the ball as a function of the time the ball is in the air in seconds can be mod
Andrei [34K]

The height of the ball 2 seconds after being thrown is 20.8m

In order to get the required quadratic function, we need to write the given information as coordinate.

  • If the time the ball was initially thrown in the air, it was 7. 5 meters off the ground, this is written in a coordinate form as (0, 7.5)

  • If after 1. 25 seconds, the ball was at its maximum height of 15.3125 meters in a coordinate form as (1.25, 15.3125)

Get the slope of the equation;

m=\frac{15.3125-7.5}{1.25-0}\\m= \frac{7.8125}{1.25}\\m= 6.25

Get the y-intercept "b"

Recall that y = mx + b

7.5=6.25(0) + b\\7.5 = b\\ b= 7.5

Get the required equation:

y = 6.65x + 7.5

Next is to get the height of the ball 2 seconds after being thrown

y = 6.65x + 7.5\\y = 6.65(2)+ 7.5\\y=13.3 + 7.5\\y=20.8m

Hence the height of the ball 2 seconds after being thrown is 20.8m

Learn more on functions here: brainly.com/question/1214333

3 0
3 years ago
Please solve this question?
fredd [130]

Answer:

read it.

Step-by-step explanation:

a b c easy as 1 2 3

3 0
3 years ago
-5 = .25d +3<br><br> Help me
Natalka [10]

Answer:

d =  - 32

Step-by-step explanation:

- 5 = 0.25d + 3 \\ add \: 5 \: from \: both \: sides \\  \\  - 0.25 = 8 \\ divide \: both \: sides \: by \:  - 0.25 \\  \\ d =  - 32

7 0
3 years ago
Drake has 3 Grammy wins and little Wayne has 5 Grammy wins. select all proportional relationships tat have the same ratio to tha
valentinak56 [21]
The answers are D and E
8 0
4 years ago
For the function, the vertex of the function's graph is given. Find the unknown coefficients.
olga2289 [7]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)~~=~~(-2,4) \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{b}{2a}=-2\implies -\cfrac{b}{2(1)}=-2\implies -b=-4\implies \boxed{b=4} \\\\[-0.35em] ~\dotfill


\bf c-\cfrac{ b^2}{4 a}=4\implies c-\cfrac{\boxed{4}^2}{4(1)}=4\implies c-\cfrac{16}{4}=4 \\\\\\ c-4=4\implies \boxed{c=8} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=x^2+4x+8~\hfill

7 0
3 years ago
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