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Arturiano [62]
3 years ago
8

Graph a line with a slope of 2/5 that contains the point (-2,4)

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

To graph the line, we first have to find the equation of line using the point-slope formula:

y-y_{1}=m(x-x_{1})\\y-4=\frac{2}{5}(x-(-2)\\y-4=\frac{2}{5}x+\frac{4}{5}\\  y=\frac{2}{5}x+\frac{4}{5}+4\\y=\frac{2}{5}x+\frac{4+20}{5}\\ y=\frac{2}{5}x+\frac{24}{5}

Now, by graphing, the function would be like the image attached.

ZanzabumX [31]3 years ago
3 0

y = mx + b

4 = 2/5(-2) + b

4 = -4/5 + b

4 4/5 = b

24/5 = b

y = 2/5x + 24/5

Hope this helps! ;)

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Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
3 years ago
What times 3/8 equals 1 whole
Elis [28]

\frac{8}{3} times \frac{3}{8} equals 1

Solution:

Given expression is at what times \frac{3}{8} equals the whole.

Whole means 1 in a fraction.

Let us take the number of times be x.

x\times\frac{3}{8} =1

Multiply by \frac{8}{3} on both sides of the equation.

x\times\frac{3}{8}\times\frac{8}{3}  =1\times\frac{8}{3}

x\times\frac{24}{24} =1\times\frac{8}{3}

x\times\frac{24}{24} =\frac{8}{3}

x\times1 =\frac{8}{3}

x =\frac{8}{3}

Hence the fraction \frac{8}{3} times \frac{3}{8} equals 1.

5 0
3 years ago
Use the triangle shown on the right to answer the question. According to the law on sines, which of the following statement(s) a
Lelechka [254]

Answer:

See below.

Step-by-step explanation:

The law of sines is usually written as a / sin A = b / sin b == c / sin C    where a is the side opposite angle A ,etc.

The first equation is true because it is obtained by cross multiplying

a / sin A = b / sin B,  therefore   b sin A = a sin B.

The second one is not true.

The third and fourth are both true.

3 0
3 years ago
Read 2 more answers
Write an exponential function that passes through (0, 3) and (1, 6).
Ilya [14]

Answer: y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3

Step-by-step explanation:

here is an example function that satisfies the requirement:

y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3

if you plug in x=0,

you get y= 3, which satisfies (0,3)

if you plug in x=1,

you get y = 1 - 1 + 1 - 1 + 1 + 1 + 1 + 3,

you get y=6, which satisfies (1,6)

3 0
3 years ago
Nathan took his car in for service and repairs. He had a coupon for 10% off. Original Prices • Labor $223.83 • Parts $318.85 • O
motikmotik
223.83 + 318.85 + 63.83 = 606.51
100 - 10 = 90 --> 1 - 0,10 = 0,90
606.51 * 0,90 = 545.859
545.859 * 1,06 = 578.61054 ≈ $ 578.61

6 0
3 years ago
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