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Lana71 [14]
3 years ago
11

Which quantity is given by the constant term ?

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0
The general equation of a line in slope-intercept form is:
y = mx + b
where m is the slope and b is the constant term.
If x is put equal to zero the equation becomes:
y = b
therefore the constant term b is the intercept on the y axis, or the y-intercept.
You might be interested in
Which of the following are ordered pairs for the equation y = 1/2x + 2?
pshichka [43]

Answer:

Some ordered pairs could be (0,2) and (2,3).

Step-by-step explanation:

Hope this helps!!

8 0
3 years ago
This table gives a few (x,y) pairs of a line in the coordinate plane
umka21 [38]

Answer:

-41

Step-by-step explanation:

Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.

y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)

We can use points (-36, -117) and (-27, -98), so

x1 = -36

x2 = -27

y1 = -117

y2 = -98

y - (-117) = \dfrac{-98 - (-117)}{-27 - (-36)}(x - (-36))

y + 117 = \dfrac{19}{9}(x + 36)

y + 117 = \dfrac{19}{9}x + 76

y = \dfrac{19}{9}x - 41

The y-intercept is -41.

4 0
3 years ago
The difference of 3 times a number and 15 is no less than the square of the number.
jok3333 [9.3K]

Answer:

(B) The inequality that represents this relationship is 3x  < x^2 +15

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x)  = 3x

Square of the given number = (x)^2  = x^2

Now, According to the question:

The difference of (3 x) and 15 is no less than x^2

⇒ 3x - 15 < x^2\\ \implies 3x  < x^2 +15

or, 3x  < x^2 +15

Hence, the given inequality is represented as 3x  < x^2 +15

8 0
3 years ago
Read 2 more answers
Write the set of real numbers in interval notation. {x | x ≥ −8}
Vikentia [17]
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
8 0
3 years ago
"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.
Basile [38]

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

 

sin 45 = p / 10

p = 5√2

 

cos 45 = q /10

q = 5√2

 

<span>Hope this answers the question. Have a nice day.</span>

5 0
3 years ago
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