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andrew11 [14]
2 years ago
12

ther a Point Is Part of the Solution Decide whether each point is a solution to the system. y<=3x+4 and y<=3x-2 (0, –2) (5

, 0) (3, 13)
Mathematics
1 answer:
frosja888 [35]2 years ago
3 0

Answer:

(5,0) is the only solution out of those points

Step-by-step explanation:

If you graph the 2 inequalities you'll notice the point (0,-2) falls on the dotted line, since the line is dotted this can not be a solution as a dotted line entails that anything on that line is not a solution, for the point (3,13) it doesn't fall in a solution for either inequality due to what I just stated, the point (5,0) on the other hand falls in the domain and range of both inequalities.

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On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
If p= (-2,7) find: Rx-axis(P)​
Nana76 [90]

Answer:

P(-2,7)

P'(-2,-7), ANSWER

reflection across the x-axis rule:

(×,y) ===> (x,-y)

Easy way to do this is draw the point on graph paper and count the same units above/below the x-axis. This example you are 7 units above the x-axis so you would count 7 units below the x-axis giving you the point.

6 0
2 years ago
Wilson has a balance of $890 on a credit card with an APR of 18.7%, compounded monthly. About how much will he save in interest
Leona [35]
890×(1+0.187÷12)^(12)−890×(1+0.125÷12)^(12)
=63.61 saved
8 0
2 years ago
Read 2 more answers
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negati
neonofarm [45]

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

3 0
2 years ago
Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks an
zzz [600]

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

6 0
1 year ago
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