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Afina-wow [57]
3 years ago
9

The sum of 3 times a number and 4 is between -8 and 10. Define a variable, write an inequality, and solve the problem.

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

<u>Understanding:</u>

The sum of 3 times a number (i'll define it as x) and 4 means 3x+4 is between -8 and 10 which means the value of 3x+4 is less than 10 and greater than -8. With that said, the inequality for that problem would be -8.

<u>Solving the problem:</u>

Now we know that -8, you can solve the problem by <em>subtracting 4</em> from each side then<em> dividing by 3.</em>

<em />

<em>-8-4</em>

<em />

<u>Final Answer:</u>

<u>-4</u>

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otez555 [7]

Answer:

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Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

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5y-20 = 3x+6

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Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

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2 years ago
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Answer:

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Step-by-step explanation:

The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).

The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.

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Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; y-y_1=m(x-x_1) ......[1] ; where m is the slope and a point (x_1, y_1) on the line.

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As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

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(3, 25) and (8, 40)

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

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now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

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if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

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N=3
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