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erma4kov [3.2K]

3 years ago

15

Give in, interval notation, the unknown numbers in the following description. When 4 is added to twice a number, the result is g

reater than it equal to 18.

1 answer:

lbvjy [14]3 years ago

5 0

The answer is 8 hope this helps all u have to do is figure out what two numbers added togher give you 18

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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3

ArbitrLikvidat [17]

ANSWER

$\boxed {( \frac{1}{2} , 1)}$

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

$(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})$

Using L(0,-3),N(1,5) gives,

$(\frac{0+1}{2}, \frac{ - 3+5}{2})$

$(\frac{1}{2}, \frac{ 2}{2})$

$(\frac{1}{2}, 1)$

Or we could have also used,M(-2,1),O(3,1) to get,

$(\frac{-2+3}{2}, \frac{ 1+1}{2})$

$(\frac{ 1}{2}, \frac{ 2}{2})$

$(\frac{ 1}{2}, 1)$

The correct answer is C

6 0

3 years ago

Use the graph of the function to find f(-2)

lesya692 [45]

Answer:

Answer D: f(-2) = 2

Step-by-step explanation:

To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".

To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.

That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.

Therefore f(-2) = 2

4 0

3 years ago

Clarisse used the ordered pairs (0, 13) and (24, 5) for her trend line. What would be the y-intercept of her trend line?

laila [671]

Answer:

Step-by-step explanation:

Remark

You have 2 points to solve the equation y = mx + b. After finding m, use either of the points to find b.

Formula

y = mx + b

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 13
y1 = 5
x2 = 0
x1 = 24

m = (13 - 5)/(0 - 24)

m = 8 / - 24

m = - 1/3

y = mx + b

y = -1/3 x + b

Use (0,13) as the point.

13 = -1/3 * 0 + b

13 = b

The y intercept = (0,13)

5 0

2 years ago

If contact lenses cost 80$ how much will they cost if they are with 10% off?

nevsk [136]

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

6 0

2 years ago

If x varies inversely with y and x = 4 when y = 8, find x when y = 16

Jobisdone [24]

I think x=8
8/4 = 2
16/2 = 8

5 0

3 years ago