Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
Answers
Explanation:
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
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Related Questions
1 mi = 1.6 km
How many miles are in 39.2 kilometers?
Answers
Answer:
24.35775
Step-by-step explanation:
Ty for points xd
Answer:
24.35 miles
Step-by-step explanation:
just divide 39.2 by 1.6
Five Identical semicircles are arranged as shown.
Find the diameter of one circle
Answers
The diameter of one circle is 28 units
Find the diagram shown below:
Considering the semi-circle at the centre.
Let the unknown distance from the left be x:Let the unknown distance from the right be y:To get the value of "x"
x + 16 = 22
x = 22 - 16
x = 6
To get the value of "x"
16 +y = 22
y = 22 - 16
y = 6
Diameter of one of the circle = x + 16 + y
Diameter of one of the circle = 6 + 16 + 6
Diameter of one of the circle = 28
Hence the diameter of one circle is 28 units
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Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answers
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
What is the leading coefficient of a third degree function that has an output of 221 when x=2, and has zeros of −15, 3i, and −3i?
Answers
Answer:
1
Step-by-step explanation:
The function with the given zeros will factor as ...
f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'
You have ...
f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a
Then a = 221/221 = 1
The leading coefficient is 1.
_____
Additional comment
As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.
Help me out please number 10 and if you can answer 13 please
Answers
25 divided by 25 /100 divided by 25 = 1/4
A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?
Answers
Answer:
130=monthly charge
119=one time installation fee
Step-by-step explanation:
119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!
Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation
Answers
47
-18
29 try that
And if can try division
Answer: 1.50
Step-by-step explanation:
The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.
Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.
The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.
John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent this situation.
A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
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Answer:
12$ tip together is will be 92$
Step-by-step explanation:
I need helpppoppppppppppppp
Answers
Answer:
Step-by-step explanation:
2 1
2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by
Answers
Answer:
6.4, 7.5, 8.6adding 1.1 each time
Kim is playing an online trivia game. she has 25 points and earns 1 point for each correct answer .she will advance to the next round if her score is over 34 points
Answers
Answer: 10 points
Step-by-step explanation:
She must get 10 answers right to get into the next round, if it need to be over 34
25+10=35
Can i have brainliest
Answer:
1x + 25 > 34
Step-by-step explanation:
test says its right
3 4/9 - 1 1/6 answer please
Answers
Whole part = 2
Fractional part = 5/18
=========================================================
Explanation:
4/9 = 8/18 after multiplying top and bottom by 2
1/6 = 3/18 after multiplying top and bottom by 3
So the fractional parts subtract to:
4/9 - 1/6 = 8/18 - 3/18 = (8-3)/18 = 5/18
The whole parts subtract to
3-1 = 2
Overall, we end up with the mixed number of [tex]2 \frac{5}{18}[/tex]
We can write this as 2 & 5/18 or as 2 5/18
Side note: This mixed number converts to the improper fraction of 41/18.
In 2012, New York had a population of about 19 million people,
and Vermont had a population of about 626,000 people. What
is the difference in populations between New York and
Vermont?
A) 13.4 x 106
B) 1.8374 x 107
C) 1.34 x 107
D) 1.7964 x 107
Answers
Answer:
B(if the option is 10^7 instead of 107
Step-by-step explanation:
no. of people in New York=19000000
no. of people in Vermont =626,000
difference in populations = 19000000-626,000 =18374000
therefore, the difference in populations is 18374000
(which can also be written as 1.8374x10^7)
Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)
Answers
Answer:
[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]
Step-by-step explanation:
[tex]x^6-16x^2[/tex]
[tex]x^2\left(x^4-16\right)[/tex]
[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]
[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]
The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
Given that,
To determine the equivalent expression equivalent to x⁶ - 16x²
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= x⁶ - 16x²
= x²[x⁴- 16]
= x²[x² + 4] [x² - 4] [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)
Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.
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All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.
Answers
The shape of the cross-section resulting from the cut is Rhombus.
Given that,
All the edges of the object in the diagram are equal in length.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
We have to determine,
What is the shape of the cross-section resulting from the cut?
According to the question,
All the edges of the object in the diagram are equal in length.
The length of all edges is equal in the rhombus.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.
Moreover, the area of the rectangle formed in this case will be half of the rhombus.
Hence, The shape of the cross-section resulting from the cut is Rhombus.
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Answer: C. A rhombus
Step-by-step explanation:
Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44
Answers
$4.08/16oz=$0.255/oz
Can you find the unit price ($/oz) of the remaining 2? You will then compare. The lowest value is the best buy!
What is the common ratio for the geometric sequence?
4/3,4, 12, 36,...
Enter your answer in the box.
Answers
Answer:
3 is the correct answer
u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here
4/(4/3) = 3
also 12/4 = 3
also 36 /12 = 3
hence the common ratio for this GP is 3
hope it helped
Step-by-step explanation:
i need help plzzzzz be a good mon,woman
Answers
The revenue earned when the shovel is sold for $20 is the same when the shovel is sold for $60.
Hope this helps! :)
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups
PLEASE HURRY ITS A TEST AND TIMED
Answers
20/4=5
(5*2)/3= 3 1/3
orignal price on a comb 0.99 discount 55%
Answers
Answer:
I think 5.45? Sorry, not the best at math
Step-by-step explanation:
if you get a 55% discount off of 0.99 cents you pay 0.45 $
you're saving 0.54 $
Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________ standard deviation above the mean IQ score of ____________. A. 2; 90 B. 1; 110 C. 2; 75 D. 1; 100
Answers
Using the normal distribution, it is found that the correct option is:
D. 1; 100In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem:
The mean on the Wechsler Scale is of 100, hence [tex]\mu = 100[/tex].The standard deviation is of 17, hence [tex]\sigma = 17[/tex].Brianna had an score of 117, hence [tex]X = 117[/tex]Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{117 - 100}{17}[/tex]
[tex]Z = 1[/tex]
Hence, the option d is correct.
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Josephine is looking for a new job as a plumber. She responds to a classified ad for a position that pays 54K. What would her weekly salary be to the nearest cent if she gets this job? A. $855.77 B. $1,038.46 C. 1,125.00 D. $1,057.69
Answers
Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.
It should be noted that there are 52 weeks in one year.
Based on the information given, the annual salary is given as 54000.
Therefore, the weekly salary will be:
= Annual salary / Number of weeks.
= 54000 / 52
= $1038.46
Her weekly salary is $1038.46.
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Calculate the area of the quarter circle estimate using 3.14 for pi
(Please do say click this link for the answer and I didn’t mean to click that answer)
Answers
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
Area of a quarter circle is given by the formula:
[tex]Area = \frac{\pi r^2}{4}[/tex]
Where r represents the radius of the circle
In the quarter circle shown, the radius, r = 3 feet
π = 3.14
Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]
[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
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Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).
Answers
Hello there! :)
Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.
We are also given a point that the line passes through.
That's enough information to find the equation of the line.
First, we write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.
y-4=-14(x-4)
y-4=-14x+56
y=-14x+60
Hence, that's the equation. Hope it helps.
~A lonely teen who helps others with a smile
-Grace
Good luck.
3,080 feet = ____ miles. Answer as a proper fraction or as a whole or mixed number
Answers
Explanation:
There are 5280 feet in one mile so 3080/5280 is equal to 3080 ft/ 1 mile.
7/12 is equal to 3080/5280 when simplified.
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Conversion a mixed number 2 2/
5
to a improper fraction: 2 2/5 = 2 2/
5
= 2 · 5 + 2/
5
= 10 + 2/
5
= 12/
5
To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5
b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
c) Write a previous answer (new numerator 12) over the denominator 5.
Two and two fifths is twelve fifths
Multiple: 15/
4
* 12/
5
= 15 · 12/
4 · 5
= 180/
20
= 9 · 20/
1 · 20
= 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/
1
.
In other words - fifteen quarters multiplied by twelve fifths = nine.
A car travels 15 km in 13 minutes. What is its average speed in km/h?
Answers
Answer:
69.45 km/hStep-by-step explanation:
Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)Conclusion:
Therefore, the speed is 69.45 km/h (Approximate)Hoped this helped.
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Answers
Answer:
4. Parallelogram
5. Parallelogram
6. Parallelogram
Step-by-step explanation:
4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.Hoped this helped.
[tex]\sf 12(3+5)[/tex]
Answers
Hi,
12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96
I hope it helped.✅
Answer:
[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]
my Christmas present to you
Answers
what is 1+1-2+3+1-4+5-5+6+2-8+8 x 2-16+4x5-20 = ?
first to answer correctly gets marked brainliest
Answers
Answer: The answer is 0.