Is (0,0) a solution to this system?
y ²x²-4
y< 2x-1
A. No. (0,0) satisfies y 42-4 but does not satisfy y< 2x-1.
B. No. (0,0) does not satisfy either inequality.
C. No. (0,0) satisfies y< 2x- 1 but does not satisfy yz 22.4.
O D. Yes. (0,0) satisfies both inequalities.
Answers
Answer:
A. Solution to [tex]y \ge x^2 - 4[/tex] but not to [tex]y < 2x - 1[/tex]
Step-by-step explanation:
Given
[tex]y \ge x^2 - 4[/tex]
[tex]y < 2x - 1[/tex]
Required
Is [tex](0,0)[/tex] a solution?
[tex](0,0)[/tex] implies that:
[tex]x = 0\ and\ y = 0[/tex]
To check if it is a solution or not, we simply substitute 0 for x and for y in the given inequalities
[tex]y \ge x^2 - 4[/tex] becomes
[tex]0 \ge 0^2 - 4[/tex]
[tex]0 \ge 0- 4[/tex]
[tex]0 \ge - 4[/tex]
This solution is true
[tex]y < 2x - 1[/tex] becomes
[tex]0 < 2 * 0 - 1[/tex]
[tex]0 < 0 - 1[/tex]
[tex]0 < - 1[/tex]
This solution is not true because 0 is greater than 1.
Hence, option (A) is correct
Related Questions
Jar of marbles has 80 guessed 84 what is the percent
Answers
Answer:
adsfasdfadfadsfasdfasdfasdfasfasdf
Step-by-step explanation:
asdfasdfadsfasdfasdfadsfasfsdfdas 69 69 69 69 69 69 696 96 69 69 69 69 6
Hong made $105 for 5 hours of work. At the same rate, how much would he make for 11 hours of work? I need help plz thank you
Answers
21 * 11 = $231 for 11 hours
Help asap plspls !! :)
Answers
Answer:
[tex] f = -15 [/tex]
Step-by-step explanation:
Given:
[tex] \frac{f}{3} + 22 = 17 [/tex]
Required:
Find the value of f
Solution:
[tex] \frac{f}{3} + 22 = 17 [/tex]
Subtract 22 on both sides
[tex] \frac{f}{3} + 22 - 22 = 17 - 22 [/tex]
[tex] \frac{f}{3} = -5 [/tex]
Multiply by 3 on both sides
[tex] 3(\frac{f}{3}) = 3(-5) [/tex]
[tex] f = -15 [/tex]
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
−b4+2b2+35
Step-by-step explanation:
b2+5)(−b2+7)
=(b2)(−b2)+(b2)(7)+(5)(−b2)+(5)(7)
=−b4+7b2−5b2+35
The Shortening of a muscle is called ______________.
a
Extension
b
Contraction
c
Tendon
d
Ligament
Answers
Answer:
Contraction
Step-by-step explanation:
I am smart
Answer:
B. Contraction
Step-by-step explanation:
During a concentric contraction, a muscle is stimulated to contract according to the sliding filament theory. This occurs throughout the length of the muscle, generating a force at the origin and insertion, causing the muscle to shorten and changing the angle of the joint.
A person is running a distance race at a constant rate. What time will they finish the race?
What information would you need to be able to solve the problem?
Answers
Answer:
you need the distance
Step-by-step explanation:
DISTANCE = RATE X TIME
Could someone help me with another word problem fir math ! Points and brainlest!
Answers
Answer:
I think 15
Step-by-step explanation:
Because there are 3 in every 20 and 20 goes into 100 5 times and 5×3=15
Answer:
60
Step-by-step explanation:
100-20 = 80
80- 17= 63-3 = 60
14=14^_
HELPPP!!!!!
Answers
Answer:
0
Step-by-step explanation:
14=14 so plus 0 is 14 i gues
On a coordinate plane, a polygon is formed by 3 points. One point is 2 units to the left and 1 unit up. Another point is 3 units to the left and 2 units down. Another point is 3 units to the left and 4 units up. What points are the vertices of this polygon? Select all that apply. (1, 2) (2, 1) (4, –3) (–3, 4) (–2, –3) (–3, –2)
Answers
Answer:
Step-by-step explanation:
assuming were starting from the origin point (0,0) then
(-2, 1)
(-3, -2)
and
(-3, 4)
hope this helps <3
4 and 1\3 dived by 4/7
Answers
Given f(x) = 5 find if f(x) = - 3x - 4
Answers
Answer:
The answer is -3*5-4= -15-4=-19. So given f(x)=5 then x=-19.
Step-by-step explanation:
So basically when it says f(5) that means we need to plug in x=5 into the equation -3x-4. So lets solve, -3*5-4=-19. I hope this helps if you need any clarfication please comment. Please dont tell me you are cheating on a quiz/test/assestment. Cheating does not help you by the way!
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?
A.
$60.30
B.
$70.00
C.
$75.10
D.
$100.10
Plz help and don’t give me a wrong answer cause it’s just being rude
Answers
Answer:
$60.30
Step-by-step explanation:
$100.50 x 1.20 = $120.60
$120.60 divided by 2 = $60.30
Please help out with this question .
Answers
Answer:
B
Step-by-step explanation:
Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 32%
Answers
Answer:
selling price: $98.48
markdown price: $31.52
explination
find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price
Answer:
31$
Step-by-step explanation:
Help pls :))))))))))))))
Answers
Answer:left is 7 right is 6
Step-by-step explanation:
left is 7 right is 6
Answer:
the right side is 6 and the left side is 7
Step-by-step explanation:
These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.
Simplify the expression
6 + 3(x + 4)
A
6 + 3x + 12
B
9x + 36
С
3x + 18
D
9X + 4
Answers
Answer:
3x+18
Step-by-step explanation:
6+3(x+4)=6+3x+12
=3x+18
A new fitness center had 350
members in its first year. The
number of members increased by
14% each year thereafter. Find
the approximate number of
members after 8 years.
Answers
I did the math in my calculator
Also learned how to do this last year
what is 34899 x 456759 will be given brainliest to the first one!!!!!!!!
Answers
Answer:
15,940,432,341
Step-by-step explanation:
i hop i am right
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
Answers
Answer:
Sessions needed= 12
Step-by-step explanation:
Giving the following information:
Total hours= 12 hours
Practice= 3/4= 0.75 of an hour
Already practiced= 3 hours
First, we need to determine how many minutes does she practice each session:
Minutes per session= 0.75*60= 45 minutes
Now, we divide the total practice in minutes required for the minutes per session:
Sessions needed= (9*60) / 45
Sessions needed= 12
120 boys try out for the middle
school football team. The ratio of
offensive players to defensive
players is 13:12. Use a tape diagram
to find out the number of
offensive players to defensive
players.
Answers
Answer:
Step-by-step
Assuming that "43" is 4:3,
21/3 = 7
4 * 7 = 28
There are 28 offensive players.ation:
Answer:28 defensive players
Step-by-step explanation:
About how many 8 4/3 foot pieces of fencing can justin get from 100 foot roll?
Answers
Answer:
11
Step-by-step explanation:
100÷8.75=11.4285
round to 11
Which two quantities form a proportional relationship?
pls help asap ignore the answer i put
Answers
Answer:
C
Step-by-step explanation:
15 times 2 is 30
1 times 2 is 2
Proportinal
Hope this helps
Consider the expression
5/6 (1/2x + 6) - 3x
What is the value of the expression evaluated for x =12
Answers
Answer:
5/6(1/2x)+5/6(6)-3x
-31x/12+5/12-3x
-3x+5/12+5
Step-by-step explanation:
1+cos2a+sin2a/1-cos2a+sin2a=cota
Answers
Answer:
Proved
Step-by-step explanation:
Required
Show that:
[tex]\frac{1+cos2a+sin2a}{1-cos2a+sin2a}=cota[/tex]
[tex]cos2a = cos(a + a) = cos^2a - sin^2a[/tex]
So, we have:
[tex]\frac{1+cos^2a - sin^2a+sin2a}{1-(cos^2a - sin^2a)+sin2a}=cota[/tex]
[tex]\frac{1+cos^2a - sin^2a+sin2a}{1-cos^2a + sin^2a+sin2a}=cota[/tex]
[tex]1- cos^2a = sin^2a[/tex]
So, we have:
[tex]\frac{1+cos^2a - sin^2a+sin2a}{ sin^2a+ sin^2a+sin2a}=cota[/tex]
[tex]\frac{1+cos^2a - sin^2a+sin2a}{2sin^2a+sin2a}=cota[/tex]
Rearrange the numerator
[tex]\frac{1 - sin^2a+cos^2a+sin2a}{2sin^2a+sin2a}=cota[/tex]
[tex]1- sin^2a= cos^2a[/tex]
So, we have
[tex]\frac{cos^2a+cos^2a+sin2a}{2sin^2a+sin2a}=cota[/tex]
[tex]\frac{2cos^2a+sin2a}{2sin^2a+sin2a}=cota[/tex]
[tex]sin2a = 2sina\ cosa[/tex]
So, we have:
[tex]\frac{2cos^2a+2sinacosa}{2sin^2a+2sinacosa}=cota[/tex]
Factorize:
[tex]\frac{cosa(2cosa+2sina)}{sina(2sina+2cosa)}=cota[/tex]
Rewrite as:
[tex]\frac{cosa(2cosa+2sina)}{sina(2cosa+2sina)}=cota[/tex]
[tex]\frac{cosa}{sina} = cota[/tex]
[tex]cota = cota[/tex]
Estimate the quotient using compatible numbers.
627 ÷ 8 = _____
A 600
B 80
C 700
D 90
Answers
What is the probability that the second sock is black?
Please help ASAP!!! Brainliest if correct!!! Thank you !
A- 5/7
B- 3/7
C- 5/8
D- 3/8
Answers
Answer:
WEGGWEGEWGEWGGEWGWE
Step-by-step explanation:
EWGWEGWEW
What are the zeros of the graphed function?
A. 0 and 4
B. -4, -2 and 0
C. 0, 2, and 4
D. -4 and 0
Answers
Answer:
Option C
Step-by-step explanation:
Zeros of a function are also called as x-intercepts of a function, which means where the graph/function intersects the x-axis.
In the image we see the graph intersects the x-axis at three points
x=0 , x=2 , x=4 so our answer is option C
The roots or zeros of the graphed function f(x) are 0, 2 and 4.
What are the zeros of a function?
The x - intercepts of the graph of the function gives the zeros of the function. It is at this value that the dependent variable [y] is zero.
Given is a graph of a function f(x).
The graph of the function f(x) is shown. The total number number of x - intercepts will tell us about the degree of the function which is equal to three. The degree of a function also represents the total number of possible solutions or zeros of the function and the values of the x - intercepts will be the zeros of the function. The graph of the function cuts the x - axis at x = 0, x = 2 and x = 4.
So, we can conclude that the graph has a degree of 3 and the possible roots or zeros of this function f(x) are x = 0, x = 2 and x = 4 repsectively.
Therefore, the roots or zeros of the graphed function are 0, 2 and 4.
To solve more questions on Zeroes of function, visit the link below-
brainly.com/question/14400360
#SPJ2
Yall i need this to be corret please explain giving brainliest:)
Answers
What is percent of 800 of 900
Answers
Answer:
88.89%
Step-by-step explanation:
800 of 900 is also equivalent to 8 of 9. Divide 8 by 9 to get your percentage which should be 0.88 on your calculator but multiply that number by 100 to get the percentage of 88.89% which is rounded and your final answer.
Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation One-third x + one-fourth x + x = 57models the scenario, how many books does Lindsay own?
12
18
36
48
Answers
Answer:
Lindsey owns 12 books
Step-by-step explanation:
1/3x:Lindsay
x:Destiny
1/4x: Henry
1/3x+1/4x+x=57
4/12x+3/12x+x=57
7/12x+x=57
19/12x=57
x=57*12/19
x=36
1/3x=36/3
1/3x=12
PLZ MARK ME BRAINLIEST
Answer:
12
Step-by-step explanation:
got it right one edge 2020
