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3 years ago

Find equation that the model below represents

Mathematics

1 answer:

rosijanka [135]3 years ago

4 0

Answer:

5/6

Step-by-step explanation:

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Find the slope of the line.

joja [24]

Answer:

you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

4 0

3 years ago

The number of <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> s

Alex777 [14]

Answer:

D. 4

Step-by-step explanation:

Without actually solving the equation, recall that for $a=|b|$ , there are two cases:

$\begin{cases}a=b, \\a=-b\end{cases}$

In the given equation $|x-2|^{10x^2-1}=|x-2|^{3x}$ , there are two pairs of absolute value symbols.

Since each has two cases, there must be a total of $2\cdot 2=\boxed{4}$ different equations created.

All four cases are:

$\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}$

Exponents differ, hence clearly there are four possible solutions to this equation.

You can solve for all four values of $x$ by taking the log of both sides and using a bit of algebra to verify you have four solutions.

5 0

3 years ago

In the town of sleepy Oak. the fine for speeding ticket is $32.65 + s dollars. Where s is the miles per hour over the speed limi

Mkey [24]

A: 38.4 - 25 = 13.4
13.4 + 32.65 = $46.05

B: 50.15 - 32.65 = 17.5
17.5 + 25 = 42.5 mph

5 0

3 years ago

Find the mean for the following group of data items. 175, 115, 145, 115, 135

leva [86]

Answer:

137

Step-by-step explanation:

175+115+145+115+135= 685

685÷5= 137

To put that into words you add up all the numbers and divide the sum by how many numbers there are.

4 0

3 years ago

Two cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for the oil change, plus y

ad-work [718]

Answer:

Basic fee = $14.95

1.5 dollars per quart of oil

Step-by-step explanation:

Each customer is charged a fee x (in dollars) for the oil change, plus y dollars per quart of oil used.

The oil change for the car that requires 5 quart of oil costs $22.45.

$x+5y=22.45$

$x=22.45-5y$

The oil change for the car that requires 7 quarts of oil costs $25.45.

$x+7y=25.45$

$x=25.45-7y$

Both equation having x

so make it equal and solve for y

$22.45-5y=25.45-7y$

Add 7y on both sides

$22.45+2y=25.45$

subtract 22.45 from both sides

$2y=3\\y=1.5$

now plug in 1.5 for y and solve for x

$x=22.45-5y\\x=22.45-5(1.5)\\x=14.95\\$

6 0

3 years ago