Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9

Answers

Answer 1

Answer: 9 3/10, 9.5, 9.9

9 3/10 is equal to 9.3

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1)Which system of linear inequalities is graphed?A){x<−2y≤−x−1
B){x<−3y≤−x+1
C){x≤−3y≤−x−3
D){x<−3y≤−x−1

2)Which system of linear inequalities is graphed?

A) {y≤2x+1x+y≥−2
B) {y≥2x+1x+y≤−2
C) {y<2x+1x+y>−2
D) {y>2x+1x+y<−2

Answers

Answer:

1 ) D

2 ) D

Step-by-step explanation:

The general form of the straight line is given by y=mx+c, where m is the slope and c is y-intercept.

1 ) According to the graph, we get the co-ordinates (0,-1) and (-1,0).

Using these so-ordinates, we will find the equation of the line.

i.e. Slope $m = (y_(2)-y_(1))/(x_(2)-x_(1))$

i.e. $m = (0-(-1))/(-1-0)$

i.e. m = -1

Now, substituting m and (0,-1) in general form, we get c = -1.

So, the equation of this straight line is y = -x-1.

We will now use 'Zero Test' i.e. substitute (0,0) in the required equation and since the given regions are away from the origin, this pair of points will not satisfy the equation.

So, we get y < -x-1 and as the region is given to less than x= -3.

Hence, option D is correct.

2) Now, according to the second graph, we get the points (0,-2), (-2,0) and (0,1), (-1,-1) for two lines respectively.

Solving as in 1) we get that the equations of the lines are given by x+y = -2 and y = 2x+1 respectively.

Again using 'Zero Test', we see that these pair of points does not satisfy the equations.

So, we get x+y < -2 and y > 2x+1.

Hence, option D is correct.

Answer: C and B

Step-by-step explanation:

AA, BBB, and CCC are collinear, and BBB is between AAA and CCC. The ratio of ABABA, B to BCBCB, C is 1:21:21, colon, 2. If AAA is at (7,-1)(7,−1)left parenthesis, 7, comma, minus, 1, right parenthesis and BBB is at (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis, what are the coordinates of point CCC?

Answers

Answer:

The coordinates of point C are (-8,5).

Step-by-step explanation:

It is given that A, B and C collinear and B is between A and C.

The ratio of AB to BC is 1:2. It means Point divided the line segments AC in 1:2.

Section formula:

$((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))$

The given points are A(7,-1) and B(2,1).

Let the coordinates of C are (a,b).

Using section formula the coordinates of B are

$B=(((1)(a)+(2)(7))/(1+2),((1)(b)+(2)(-1))/(1+2))$

$B=((a+14)/(3),(b-2)/(3))$

We know that point B(2,1).

$(2,1)=((a+14)/(3),(b-2)/(3))$

On comparing both sides we get

$2=(a+14)/(3)$

$6=a+14$

$6-14=a$

$-8=a$

The value of a is -8.

$1=(b-2)/(3)$

$3=b-2$

$3+2=b$

$5=b$

The value of b is 5.

Therefore, the coordinates of point C are (-8,5).

The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).

How to determine the location of a point within a line segment

According to the Euclidean geometry, a line is formed by two points on a plane and three points are collinear if all the three points go through a single line.

By definitions of vector and ratio we derive an expression to determine the coordinates of the point B:

$\overrightarrow{AB} = (1)/(1+2)\cdot \overrightarrow{AC}$

$\vec B - \vec A = (1)/(3)\cdot \vec C -(1)/(3)\cdot \vec A$

$(1)/(3)\cdot \vec C = \vec B - (2)/(3)\cdot \vec A$

$\vec C = 3 \cdot \vec B - 2\cdot \vec A$

If we know that A(x,y) = (7, -1) and B(x,y) = (2, 1), then the coordinates of point C is:

C(x, y) = 3 · (2, 1) - 2 · (7, -1)

C(x, y) = (6, 3) + (- 14, 2)

C(x,y) = (- 8, 5)

The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).

Remark

The statement is poorly formatted and reports mistakes. Correct form is shown below:

A, B and C are collinear and B is between A and C. The ratio of AB to BC is 1 : 2. If A is A(x, y) = (7, -1) and B(x, y) = (2, 1), what are the coordinates of point C?

To learn more on line segments, we kindly invite to check this verified question: brainly.com/question/25727583

G purchased a family income policy at age 40. the policy has a 20-year rider period. if g were to die at age 50, how long would g's family receive an income?

Answers

Rider period is the period which is offered by the insurer to the policy holder in which the policy would be revived and the benefits pertaining to the policy. In the current scenario, the policy has 20 years of rider policy and is taken when the holder is 40 years old. At the age of 50 years, half of the rider period is consumed and thus the family will wait for the remaining half of the rider period to access the benefits.

Therefore, g's family will receive income for 10 years.

Final answer:

If G, who bought a family income policy with a 20 years rider at age 40, dies at age 50, his family would continue to receive income for another 10 years, which is the remaining period of the policy.

Explanation:

The question refers to a family income policy, which is a type of life insurance. In this situation, G bought a policy at the age of 40 which includes a term life insurance policy and a decreasing term rider of 20 years. If G were to die at age 50, the remaining term of the rider would dictate how much longer the family receives income. As G has held the policy for 10 years, there would be another 10 years remaining on the policy. Therefore, G's family would continue to receive an income for an additional 10 years after G's death.

Learn more about Family Income Policy here:

brainly.com/question/32795614

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How many liters will a U.S. 6-quart container hold? Round your answer to the nearest hundredth

Answers

You are given volume of 6 USquart. You are required to convert this into liters and be rounded off to thenearest hundredth. Keep in mind that forvolume, every one liter is equal to 1.05669 US quart. So you need to divide the6 US quart. This is equal to 6.34014 liters. To round of the nearest hundredth,the ocation of the hundredth is the four in 6.34014. since after four iszero, the round off rule states that from 0-4, the preceding number remainsunchanged. So the final answer is 6.34 liters.

6 quarts can hold 6.34 liters.

Megan bought 50 beads for $9.95. she received a 10% discount, she paid a sales tax of 6%. how much did she pay fro the beads

Answers

$9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.

The drama club is showing a video of the recent play the first showing began at 2:30 PM the second showing was scheduled to start at 5:25 PM with in half hour break between the showings how long is the video in hours and minutes