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MatroZZZ [7]
3 years ago
8

Find the Y-Intercept -3x + 7Y = 21

Mathematics
2 answers:
ivann1987 [24]3 years ago
4 0
The answer is 3
Trust me dog
Andreas93 [3]3 years ago
4 0

Answer:

(0, 3)

Step-by-step explanation:

To find the y-intercept of a linear equation, we simply need to put the equation into "slope-intercept" form.  This will allow the y-intercept to be shown as the constant being added to the equation.  To put a linear equation into slope-intercept form, we simply need to solve for Y.  Let's do that.

-3x + 7Y = 21

3x + -3x + 7Y = 3x + 21

7Y = 3x = 21

(1 / 7) * 7Y = (3x + 21) * (1 / 7)

Y = (3x / 7) + (21 / 7)

Y = 3x/7 + 3

Now that we have the Y isolated, we can see the constant being added is 3.  Hence, the y-intercept is (0,3) since by definition the y-intercept is the point at which the line crosses the x axis (where x = 0).  If you plug x=0 into the equation, you get Y = 3.

Cheers.

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5. Kamala worked for 7 1/2 h. She spent 2/3 of the time on her computer. How long was she on her computer?​
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2 years ago
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Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
Alborosie

Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
3 years ago
Which of the following characteristics describe the graph of an exponential function?
Aleonysh [2.5K]

Answer:

A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION

f

(

x

)

=

b

x

An exponential function with the form

f

(

x

)

=

b

x

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>

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,

b

≠

1

, has these characteristics:

one-to-one function

horizontal asymptote:

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0

domain:

(

−

∞

,

∞

)

range:

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a - 8

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