MATHEMATICS HIGH SCHOOL

Which of the following inequalities is graphed on the coordinate plane

Answers

Answer 1

Answer:

Answer:

Equation of the inequality will be y ≥ -2x + 6

Step-by-step explanation:

In the figure attached graph of an inequality has been given.

So to find the equation of the inequality we will find the equation of a line first.

The line is passing through two points (0, 6) and (3, 0)

The line given will be in the form of y = mx + c

Here y intercept c = 6

and m = $(y-y')/(x-x')=(6-0)/(0-3)$

m = (-2)

The equation of the line will be y = (-2)x + 6

y = -2x + 6

As we can see shaded part is above the line and line is in solid form (not dotted) so the equation of the inequality will be y ≥ -2x + 6

Therefore, the given inequality in the graph will be y ≥ -2x + 6.

Answer 2

Answer: Even though you didn't bother to share the list of acceptable choices ...
that short group of inequalities that the question calls "the following" ...
we can give you the answer anyway.

The graph depicts the inequality

y > -2 x + 6 .

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What times what equals 11, but if you add the numbers together you get 12.

Answers

The pair of numbers you want is

11
and
1.

11 * 1 = 11

Now, 11 + 1 = 12

Answer: 11 and 1

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?

Answers

Answer:

The length of the diameter of the circle is 10 unit.

Step-by-step explanation:

Given : The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4).

To find : How long is the diameter of the circle?

Solution :

The center of a circle is at the origin i.e. $C=(x_1,y_1)=(0,0)$

An endpoint of a diameter of the circle is at $D=(x_2,y_2)=(-3,-4)$

The distance between the center and the end point of the diameter is the radius of the circle.

So, we find the radius with the help of distance formula,

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Substitute the value in the formula,

$r=√((-3-0)^2+(-4-0)^2)$

$r=√(9+16)$

$r=√(25)$

$r=5$

Diameter is twice of radius $d=5* 2=10$

Therefore, The length of the diameter of the circle is 10 unit.

Use the distance formula
$√((-4-4)^2+(-3-3)^2) = √(100)=10$

A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat?

Answers

The coat will cost $221.40. If you move a decimal two spaces to the left from 40% (.40) and multiply it by $369.00, you'll get $147.60. You then subtract $147.60 from $369.00 and get $221.40, the final price of the coat.

The best way to work out something like this is to find out what ten percent is. The way in which you do this is to divide the price by 10. This gives you $36.90. Therefore, this is equal to ten percent. As you're looking for forty percent, you need ot mulitply the answer by four, and this gives you $147.60. You then have to subtract $147.60 from $369
$369-147.60= $221.40
I deleted my answer and put the correct one- sorry about that, my calculator seems to have a mind of its own :)

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips. There are 9.6*10^5 paper clips in the container. Find the approximate weight of each paper clip in ounces. (1 pound= 16 ounces) Show Your Work.

Answers

Answer:

The approximate weight of each paper clip is 0.035 ounce.

Step-by-step explanation:

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips.

= $2.1*1000=2100$ pounds

There are 9.6*10^5 paper clips in the container.

= $9.6*100000=960000$

Now we get that 960000 paper clips weigh 2100 pounds.

So, each paper clip will weigh = $(2100)/(960000)$ = 0.0021875 pounds

And 1 pound = 16 ounces

0.0021875 pounds = $16*0.0021875$ = 0.035 ounce

Hence, the approximate weight of each paper clip is 0.035 ounce.

Divide the total weight (2.1 * 10^3 lbs.) by the total quantity of things (9.6 * 10^5) to get the lbs./paperclip.

Then, multiply that number by 16 to get ounces/paperclip.

I need help finding the missing information for a rhombus

Answers

Answer:

∠BCE = 28°
∠ABE = 62°
∠BAD = 56°

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, and bisect each of the vertex angles. Of course, adjacent vertex angles are supplementary.

Assuming E is where the diagonals cross, then we have ...

∠ABE = 124°/2 = 62°

∠BCE = 90° -62° = 28°

∠BAD = 2·28° = 56° . . . (= 180° -124°)

Which of the following expressions would give the number of ways to choose a group of 7 from a group of 15?

Answers

The formula is ¹⁵C₇. Then the number of ways to choose a group of 7 from a group of 15 will be 6435.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Then the number of ways to choose a group of 7 from a group of 15 will be given by the combination formula.

Then we have

Number of ways = ¹⁵C₇

Number of ways = 6435

More about the permutation and the combination link is given below.

brainly.com/question/11732255

#SPJ2

You didn't supply any expressions, but it'd be one of these (assuming it's unique combinations, rather than the duplicate permitting permutations):
(15!)/(7!(15-7)!)
or
(15!)/(7!8!)
or
(15•14•13•12•11•10•9)/(7!)
or
(15•14•13•12•11•10•9)/(7•6•5•4•3•2)
or
32432400/5040
or
6435

depending on what it has as possible answers.