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zhuklara [117]
3 years ago
5

Please help its a quiz

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0

Answer:

C.

Step-by-step explanation:

Soloha48 [4]3 years ago
8 0
……………..The answer is c
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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average
Semenov [28]

Answer:

\$5,500

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=20\ years\\ P=?\\ A=\$14,300\\r=8\%=8/100=0.08

substitute in the formula above

14,300=P(1+0.08*20)

14,300=P(2.6)

P=14,300/(2.6)

P=\$5,500

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3 years ago
Daniel had 4 times as many stickers as Adrian. He then put his stickers equally into 8 albums. If Adrain had 76 stickers, how ma
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Daniel put 38 stickers in each album
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3 years ago
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What's the better buy: A) 5lb. bag of potatoes for $3.79 or a 2lb. bag<br> for $1.50?
Tcecarenko [31]

Answer:

A 2lb. bag because 1.50 x 2 = 3.00$ plus the extra 1 lb which is 75c = 3.75 $

Step-by-step explanation:

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3 years ago
Trinity is traveling 20 mph on her bicycle. After 2 hours, how far will she have traveled?
andrew-mc [135]

Answer:

40 hours

Step-by-step explanation:

Just multiply the 20 mph by 2

Have a great day!

:)

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3 years ago
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