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Rom4ik [11]
3 years ago
5

Is y=3x+4 parallel or perpendicular

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

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docker41 [41]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A bank account earns a fixed rate of interest compounded quarterly (every 3 month)
Stolb23 [73]

Answer:

Here’s what I got.

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7 0
3 years ago
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lana66690 [7]

Answer:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1.y_1) = (0,0)

(x_2.y_2) = (7,15)

So:

m = \frac{15 - 0}{7 - 0}

m = \frac{15}{7}

m = 2.143

For the given options.

The unit rate is the coefficient of x

So: y = \frac{19}{8}x

Going by the above definition of unit rate.

m = \frac{19}{8}

m = 2.375

y = \frac{27}{13}x

m = \frac{27}{13}

m = 2.077

y = \frac{21}{9}x

m = \frac{21}{9}

m = 2.333

y= \frac{11}{5}x

m= \frac{11}{5}

m= 2.20

y = \frac{15}{7}x

m = \frac{15}{7}

m = 2.143

y = \frac{31}{15}x

m = \frac{31}{15}

y = 2.067

y=\frac{13}{6}x

m=\frac{13}{6}

m=2.167

The unit rates grater than the graph's from small to large are:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

m=\frac{13}{6}              m= \frac{11}{5}           m = \frac{21}{9}            m = \frac{19}{8}

4 0
3 years ago
Read 2 more answers
Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

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ValentinkaMS [17]
C. Is the correct answer
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