2p Determine the value of a such that the system of equations below would have an infinite number of solutions?

1 answer:

6 0

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12

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A car is driving at 100 kilometers per hour. How far does it travel in 2 seconds?

Alisiya [41]

Answer:

$\frac{1}{18}\ km$ or $\frac{500}{9}\ m$

Step-by-step explanation:

Remember that

1 hour=3,600 seconds

by using proportion

$\frac{100}{3,600}\frac{km}{sec} =\frac{x}{2}\frac{km}{sec} \\ \\x=2*100/3,600\\ \\x=\frac{1}{18}\ km$

Convert to meters

$(1,000)*(\frac{1}{18})=\frac{500}{9}\ m$

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3 years ago

6. Write the explicit formula for the geometric sequence of the height of the ball on the 10th bounce.First bounce: 54 inchescom

Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

$\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}$

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

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1 year ago

Find the domain of the following piecewise function.

il63 [147K]

Answer:

$(2,8]$