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Paraphin [41]
3 years ago
14

Express 4x−7y=14 in slope-intercept form. Enter your answers in the boxes.

Mathematics
1 answer:
devlian [24]3 years ago
5 0
Y=2 7x2= 14
X= 7 4x7=28
28-14=14
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A the slope of f(x) is greater than the slope of g(x)
Komok [63]

To find the slope of g(x), use the slope formula(m):

m=\frac{y_2-y_1}{x_2-x_1}        And plug in two points, I will use:

(0, 2) = (x₁, y₁)

(5, 4) = (x₂, y₂)

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

m=\frac{4-2}{5-0}

m=\frac{2}{5}

You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

m=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-) from each distinguished point

Run is the number of units you go to the right from each distinguished point

If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is  \frac{2}{3}

Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A

7 0
3 years ago
Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.
Lyrx [107]

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Is 28/49=4/7 a ratio proportion
leva [86]
28 / 49
divide by 7 at top and bottom

(28/7) / (49/7)
4 / 7
5 0
3 years ago
The temperature in Toronto, Canada, dropped over three hours from 0 °F to -33 °F. If the temperature dropped the same amount eac
professor190 [17]

Answer:

The temp. dropped 11 degrees each hour.

Step-by-step explanation:

33 divided by 3 is 11

4 0
3 years ago
86% percent of senators support a bill. What fraction of senators support the bill?
Natali5045456 [20]

Answer:

\frac{43}{50}

Step-by-step explanation:

It was give that 86% percent of senators support a bill.

We want to determine the fraction of senators that supports the bill.

We just have to convert 86% into a fraction in its simplest form.

86\%=\frac{86}{100}

\frac{86}{100}=\frac{2\times43}{2\times50}

We cancel the common factors to obtain the fraction in the simplest form as:

\frac{43}{50}

7 0
2 years ago
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