Which ordered pair is NOT a solution to the inequality in the graph? (5,1) (4,6) (0,0) (-2,-8)
Answers
====================================================
Explanation:
The red shaded region is the solution set. In other words, if the point is in the red region, then it is a solution. A point like (0,0) is in the red area, so we cross that off the list. The same applies for (4,6) and (-2,-8) as well.
In contrast, a point like (5,1) is not in the red shaded area, so this point is not a solution. Hence it's the final answer.
Note: the solid boundary line means points on the boundary are considered solutions. A dashed boundary line would be used to exclude boundary points from the solution set. Solid boundary lines always go with "or equal to".
Refer to the drawing below if you need a visual of what's going on. I've plotted the four points on the graph given.
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Here's an algebraic approach if you don't have a graph and only have the inequality. Ignore this section if you prefer the first section above.
If we plugged (x,y) = (0,0) into the inequality, then we get...
[tex]y \ge 2x-4\\\\0 \ge 2(0)-4\\\\0 \ge 0-4\\\\0 \ge -4\\\\[/tex]
That's a true statement because 0 is to the right of -4 on the number line, making 0 larger than -4. Since the last inequality is true, this makes the first inequality true. Furthermore, it algebraically confirms why (0,0) is a solution. You should find that (4,6) and (-2,-8) will lead to true statements as well, so they are solutions.
In contrast, (x,y) = (5,1) is not a solution because...
[tex]y \ge 2x-4\\\\1 \ge 2(5)-4\\\\1 \ge 10-4\\\\1 \ge 6\\\\[/tex]
which is false. The value 1 is not larger than 6, nor is it equal to 6.
Related Questions
Which equation has no solution?
A. x + 3 = 5(x+3)
B. 3x + 4 = 3(x - 5)
C. X+ 6 = 6x
D. 5x + 2 = 4x - 3
Answers
Answer: B: 3x + 4 = 3(x - 5) (has no solution)
Step-by-step explanation: (these have solutions)
C: X+ 6 = 6x = 6/5
A: x + 3 = 5(x+3) = −3
D: 5x + 2 = 4x - 3 = −5
Write the equation of the line that passes through
the points (-1,2) and (6, 3) in slope-intercept form
Answers
m = y2 - y1/x2 - x1
x1 = 6
x2 = -1
y1 = 2
y2 = 3
m = 3 - 2/6 +1
m = 1/7
from this point we now have y = 1/7x + b
all we now need is “b” (intercept) and to find that we’ll plug in one of our given points and solve for b.
3 = 1/7(6) + b
b = 2.14
with the slope and the intercept we have our answer :
y = 1/7x + 2.14
hope this helps !
Assume that the GMAT scores across the U.S. follow a bell shaped distribution (symmetric and unimodal) with mean 549 and standard deviation 76. Use the Empirical Rule (68-95-99.7 rule) to answer the following question: What is the GMAT score corresponding to the 16th percentile
Answers
Answer:
The GMAT score corresponding to the 16th percentile is 473.
Step-by-step explanation:
Empirical Rule.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the measures within 1 standard deviation of the mean.
This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).
In this question:
Mean of 549, standard deviation of 76.
16th percentile:
One standard deviation below the mean, so 549 - 76 = 473.
The GMAT score corresponding to the 16th percentile is 473.
are these correct???
Answers
Answer:
yes
Step-by-step explanation:
Simplify the following fraction 4½-2⅝
Answers
Answer:
Step-by-step explanation:
4 1/2 - 2 5/8
4 4/8 - 2 5/8 = 1 and 7/8
i mean i guess you could also do this witho ut sol ving
4 4/8 - 21/8 --> 36/8 - 21/8
i dk it's si mplify not solve so here?
Anyone good at 8th grade math please help out
Answers
Answer:
It should be y = -x + r or y = r - x. To solve for y you would have to isolate y by removing all other variables from y's side of the equation.
Fimd the medium.of given data ? 5,19,8,11,7,6,17,11,6,10
Answers
The average number of employees that call in sick for the day over the course of a year is 25. The number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. Enter the sample mean and the population mean in the boxes
Answers
Answer:
sample mean (x with the bar on top) =24
Step-by-step explanation:
Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25
population mean (mu) =11.52
The same goes for the other one but divide by the population which is 25
how do you solve the problem 2p = 60
Answers
which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)
Answers
Answer:
Step-by-step explanation:
"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context. We could merely round all numbers and work with the results:
For example, starting with the work inside parentheses, we have:
5 5/6 - (1 + 4) = 5 5/6 - 5. We must round 5 5/6 up to 6. Then the "best estimate' is 6 - 5, or just 1.
The solution of the given expression is 17 / 24.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 5⁵/₆ - (1¹/₄ + 3⁷/₈). The value of the expression will be calculated as:-
E = 5⁵/₆ - (1¹/₄ + 3⁷/₈)
E = 35 / 6 - [ 5 / 4 - 34 / 8 ]
E = 35 / 6 - [ ( 10 + 31 ) / 8 ]
E = 35 / 6 - 41 / 8
E = ( 140 - 123 ) / 8
E = 17 / 21
Hence, the solution of the expression is 17 / 21.
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My math assignment is due in 15 min pls help with this question
Answers
Answer:
1st quartile: 2.6
2nd quartile or median: 3.1
3rd quartile: 3.25
Step-by-step explanation:
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
A.It is a linear function.
B.It is a quadratic function.
C. The domain is x 2-3.
D. The range is all real numbers.
Answers
Answer:
Vertex of a quadratic function (formula)
Step-by-step explanation:
What is the slope intercept form of this line?
Answers
Answer:
y = 1/4 x - 2
Step-by-step explanation:
y = mx + b
m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive
x = x
b = y-intercept --> (0,-2) --> -2
10. (05.05 LC)
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
Y
The origin is not included in the shaded region and the shaded area is above the line.
O The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
Answers
Answer:
c
Step-by-step explanation:
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answers
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
What is the area of the figure below?
:8 in.
21 in.
A 84 in2
B 160 in?
C 168 in2
D 336 in?
Answers
Answer:
The answer is C. 168 in^2
Step-by-step explanation:
(Area = Base x Height)
21 * 8 = 168
What percentage of $250 is $75?
Answers
To calculate the percentage,
75/250×100 = 30%
Answer:
30%
Step-by-step explanation:
75/250=0.3
0.3= 3/10
3/10=30%
What is the value of x?
Answers
x = 6 × 12/8
x = 6 × 3/2
x = 3 × 3
x = 9
HELP ME PLEASE (pre algebra)
Answers
Answer:
30
Step-by-step explanation:
5ab -2c
Let a = 2 b=3 c=0
5*2*3 - 2*0
30 - 0
30
pls help anyone!! i don’t know the answers :(
Answers
Answer:
36 Times
Step-by-step explanation:
If there is 10 fruits and 3 of them are pears
10x 12= 120
3x12 = 36
Answer:
Step-by-step explanation:
all the fruits are 10
the pears are 3
probability of picking a pear is 3/10
out of 120 times the pear may be picked 120*(3/10) = 36 times
in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes. if a child is selected at random, find the probability that the child has blonde hair or brown eyes
Answers
[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]
The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.
let, the event be A,
i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.
now, we have,
total no of sample space = 35
probability of blonde hair = 10/ 35
probability of brown eyes = 14/35
probability of both blonde hair and brown eyes = 4/35
so, we get,
probability of blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35
= 20 / 35
= 4/7
Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.
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If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.
Answers
Answer:
[tex]p\ =\ 92[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q^2}[/tex]
[tex]p =23; q=4[/tex]
Required
Find p, when [tex]q = 2[/tex]
We have:
[tex]p\ \alpha\ \frac{1}{q^2}[/tex]
Express as equation
[tex]p\ =\ \frac{k}{q^2}[/tex]
Make k the subject
[tex]k =pq^2[/tex]
When: [tex]p =23; q=4[/tex]
[tex]k =23 * 4^2[/tex]
[tex]k =368[/tex]
When [tex]q = 2[/tex], we have:
[tex]p\ =\ \frac{k}{q^2}[/tex]
[tex]p\ =\ \frac{368}{2^2}[/tex]
[tex]p\ =\ \frac{368}{4}[/tex]
[tex]p\ =\ 92[/tex]
find the hcf and the lcm of these for 10 points plz
Answers
Answer:
LCM of 64 and 94= 3008
HCF of 64 and 94= 2
Step-by-step explanation:
Do a venn diagram with the prime factors of 64 on the left, and the prime factors of 94 on the right. If they have the same factors put them in the middle of the venn diagram. Then you multiply everything in the diagram and get the LCM. The HCF is found by multiplying the factors in both lists which is only 2.
A defense company working for the government claims that at most 6% of its missiles are defective. A sample of 160 missiles is taken and 16 are defective. Test their claim at 1% level.
Required:
State clearly the null and the alternative hypothesis
Answers
Answer:
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
Step-by-step explanation:
The null hypothesis is the problem statement and the alternate hypothesis is a contradiction of null hypothesis
Hence,
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
Given Limit of f (x) = 6 as x approaches 1. What is Limit of left-bracket 5 f (x) right-bracket as x approaches 1? 5 6 11 30
Answers
Answer: D. 30
Step-by-step explanation:
Edge 100%
Answer:
the answer is d on edge
Step-by-step explanation:
give me question about equation of a circle question with real life situation.
Answers
A- perpendicular
B- transversal
C- parallel
D-skew
E- coincident
F- concurrent
What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?
Answers
Answer:
B and D
Step-by-step explanation:
they both make srnse to me
The required percentage of individuals is 66.07%.
What is percentage?
A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The required data from the given table is as follows,
The total number of individuals is 112.
The number of individuals who ride Ferris wheel but not roller coaster is 74.
As per the question the percentage can be found as below,
Required percent = (The required number ÷ Total number) × 100
= (74 ÷ 112) × 100%
= 66.07%
Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is 66.07%.
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Find the value of a in this isosceles trapezoid. D. 11 A. 7 B. 15 C. 4
Answers
Answer:
B
Step-by-step explanation:
Because 15-4=11
and both angles are equal
Pls help 10 pts
X =
1
3
7
Answers
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Secant-Secant Formula:(whole secant) x (external part) =
(whole secant) x (external part)
4 *(9) = x *(12)
36 =12x
Divide each side by 12
36/12 = 12x/12
3 =x
True or false diagonals of rectangle are equal
Answers
Answer: A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.
Step-by-step explanation: