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siniylev [52]
3 years ago
7

2. The table shows distance, y, that Mario runs in x minutes.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0
Assuming the left is minutes and the right is distance, Mario runs 1 mile in 7 minutes
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*
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Which terms in the following expression are like terms?
Alinara [238K]

9514 1404 393

Answer:

  (c)  5x and 3x, and 4 and 1

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

  • x^3: variable x, power 3
  • 5x: variable x, power 1
  • -3x: variable x, power 1
  • 3y: variable y, power 1
  • 4: no variable
  • -1: no variable

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

6 0
2 years ago
How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160
Marina CMI [18]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}

\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n
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3 years ago
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Answer:

use desmos to graph it

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Find the product.<br><br><br> (−7)(8) =
Inga [223]

Answer:-56

Step-by-step explanation:The product is your answer

4 0
3 years ago
Gaby deposited $200 in a savings account earning 4% simple interest over 7 years. What was the total interest Gaby earned?
Yuki888 [10]
I=prt. I= $200 X 4% X 7. I= 8 X 7. I= 56. Her total interest earned was $56 :)
5 0
3 years ago
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