3 years ago

Solve the inequality 13 > 3x + 1

Mathematics

2 answers:

Ivenika [448]3 years ago

3 0

4 > x

step by step explanation:

13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x

ivanzaharov [21]3 years ago

3 0

I hope it helps you ❤️❤️❤️

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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3 years ago

If y varies directly as x, find the constant of variation if y = 25 and x = 5.

Soloha48 [4]

Answer:

The constant of variation is 5

Step-by-step explanation:

We know direct variation is of the form

y = kx

We know y =25 and x=5

25 = k*5

Divide each side by 5

25/5 = 5k/5

5 = k

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3 years ago

*20 points* a coin is flipped 3 times and number of times heads appears is recorded. how many different outcomes can occur

8_murik_8 [283]

There can only be two outcomes that result from the coon being flipped because there’s only two sides.

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3 years ago

Read 2 more answers

Solve the equation. Round the solution to the tenths place.<br> 6.35t = 56.515<br> t =

Westkost [7]

Answer:

t = 8.9

Step-by-step explanation:

6.35t = 56.515

56.515 / 6.35 = t

t = 8.9

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4 years ago

H U R R Y 2 0 P O I N T S

koban [17]

Distance is 26 hehhehehehehe :)

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3 years ago