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3 years ago

Which reasoning best supports his conclusion?

Mathematics

1 answer:

____ [38]3 years ago

5 0

Answer: You're correct! (A)

Step-by-step explanation:

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Which scenario could be represented by the given graph?

Alex Ar [27]

Answer:

Choice D

Step-by-step explanation:

The distance increases at a steady rate from time = 0 to time = 1.

Then no progress is made between time = 1 and time = 2.

Then the distance increases at the same steady rate from time =2 to time = 3.

Finally, no progress is made between time = 3 and the end of the graph.

Eliminate Choices A, B and C immediately, because none of these scenarios involves a stop and wait.

That leaves only Choice D as a reasonable verbal description of what's happening here.

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3 years ago

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Refer to the figure. Given a is parallel to be and 7 = 94, find the measure of the following angles.

IRINA_888 [86]

Answer :it is 9 tHere is ur answer

3 0

3 years ago

3(x+7)=6(x+2) help plz!!

VikaD [51]

Answer:

x=3

Step-by-step explanation:

4 0

3 years ago

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Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1

Nesterboy [21]

Answer:

$x=4$

Step-by-step explanation:

Given $\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1$ , start by squaring both sides to work towards isolating $x$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2$

Recall $(a-b)^2=a^2-2ab+b^2$ and $\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1$

Isolate the radical:

$\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}$

Square both sides:

$\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2$

Expand using FOIL and $(a+b)^2=a^2+2ab+b^2$ :

$\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36$

Move everything to one side to get a quadratic:

$\displaystyle-\frac{1}{4}x^2+7x-24=0$

Solving using the quadratic formula:

A quadratic in $ax^2+bx+c$ has real solutions $\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ . In $\displaystyle-\frac{1}{4}x^2+7x-24$ , assign values:

$\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24$

Solving yields:

$\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}$

Only $x=4$ works when plugged in the original equation. Therefore, $x=24$ is extraneous and the only solution is $\boxed{x=4}$

4 0

2 years ago

57,600 at 4% compounded semiannually for 3 years

patriot [66]

The answer is 64,866.96, hop this helped!!

4 0

3 years ago