Select the point that is a solution to the system of inequalities.
y< x2 + 6
y> x2 - 4
Answers
The only point that is a solution to the system of inequalities is (C) (2, 6).
How to determine inequalities?To solve this problem, substitute each of the points into the inequalities.
For point (A), y < (4)² + 6 and y > (4)² − 4.
This simplifies to y < 22 and y > 12.
However, 2 is not greater than 12, so (A) is not a solution.
For point (B), y < (0)² + 6 and y > (0)² − 4.
This simplifies to y < 6 and y > −4.
However, 8 is not less than 6, so (B) is not a solution.
For point (C), y < (2)² + 6 and y > (2)² − 4.
This simplifies to y < 10 and y > 0.
6 is less than 10 and greater than 0, so (C) is a solution.
For point (D), y < (−2)² + 6 and y > (−2)² − 4.
This simplifies to y<2 and y>−8.
-4 is not greater than -8, so (D) is not a solution.
Therefore, the only point that is a solution to the system of inequalities is (C).
Find out more on inequalities here: https://brainly.com/question/24372553
#SPJ1
Related Questions
Three tennis balls that fit in cylindrical tennis ball cane. If each ball is 14 inches in diameter, what is the volume of air left between the balls and the cane
Answers
Given:
Diameter of the tennis ball = 14 inches.
Three tennis balls are fit in a cylindrical tennis ball cane.
To find:
The volume of air left between the balls and the cane.
Solution:
Diameter of the tennis ball = 14 inches.
Radius of the tennis ball = 7 inches
Radius of tennis ball is equal to radius of cane. So,
Radius of the cane = 7 inches
Height of cane is:
[tex]3\times 14=42[/tex] inches
Volume of a ball is:
[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]
Where, r is the radius of the ball.
So, the volume of 3 ball is:
[tex]V_2=3\times V_1[/tex]
[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]
[tex]V_2=4312[/tex]
Volume of the cane is:
[tex]V_3=\pi r^2h[/tex]
Where, r is the radius of the cane and h is the height of the cane.
[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]
[tex]V_3=6468[/tex]
Now, the volume of air left between the balls and the cane is:
[tex]V=V_3-V_2[/tex]
[tex]V=6468-4312[/tex]
[tex]V=2156[/tex]
Therefore, the volume of air left between the balls and the cane is 2156 cubic inches.
Chloe was given a gift of a conical bird feeder that has a volume of 785.4 cubic centimeters. What is the area of the lid she will need to cover the bird feeder?
Answers
Answer:
392.7 cubic centimeters. Hope that helps :)
Step-by-step explanation:
please help geometry
Answers
Answer:
E = 10
Step-by-step explanation:
Faces = F = 6
Vertices = V = 6
Edges = E = ?
F + V = E + 2
6 + 6 = E + 2
12 = E + 2
E = 12 - 2
E = 10
Answer:
10
Step-by-step explanation:
There are 6 faces and 6 vertices.
The formula is F + V = E + 2.
So,
6 + 6 = E + 2
12 = E + 2
E + 2 = 12
E = 10
There are 10 edges.
if √3 = 1.732 find the value of √27 - 3√75+5√48+2√108
Answers
Answer:
Exact Form:
3√3−3√155+12√333-3155+123
Decimal Form:
−34.57898412…
how many units is 12x+16
Answers
Answer:
I think the answer is 1/2
Step-by-step explanation:
because
12x=6
x=6/12
•°•x=1/2
I need help I don't understand it at all
Answers
Answer:
x = 9
Step-by-step explanation:
Given
5x - 31 = 23 - x ( add x to both sides )
6x - 31 = 23 ( add 31 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
Answer: X = 9
Step-by-step explanation: basically you solve it just like any other algebra equation. The only difference is that you have x’s on both sides. You have to move one of them over. I move the x to the right and I added it to the left side. 5x plus x is 6x. ( in case you didn’t already know an x never stands alone when you see one alone it always has an imaginary 1 beside it.) after I did that I tried to isolate 6x so I added 31 to 23. 31 plus 23 equals 54. I then had the equation 6x=54. The next thing I wanted to do was to isolate the x. I then dived 6 on both sides and got x= 9
53x +2 = 25х – 8
please help me, step by step
Answers
Answer:
-5/14
Step-by-step explanation:
53x +2 = 25х – 8
Subtract 25x from each side
53x-25x +2 = 25х-25x – 8
28x +2 = -8
Subtract 2 from each side
28x +2-2 = -8-2
28x = -10
Divide by 28
28x/28 = -10/28
x = -5/14
Answer:
[tex]53x+2=25x-8[/tex]
Subtract 2 from both sides
[tex]53x+2-2=25x-8-2[/tex]
[tex]53x=25x-10[/tex]
Subtract 25x from both sides
[tex]53x-25x=25x-10-25x[/tex]
[tex]28x=-10[/tex]
Divide both sides by 28
[tex]\frac{28x}{28}=\frac{-10}{28}[/tex]
[tex]x=-\frac{5}{14}[/tex]
OAmalOHopeO
Solve using the laws of cosine
Answers
Answer:
13°
Step-by-step explanation:
Cosine formula: a² = b² + c² - 2(b)(c)cos(a)
8² = 21² + 14² - 2(21)(14)cos(x)
64 = 441 + 196 - 588cos(x)
Bring constants to one side
64 = 441 + 196 - 588cos(x)
-441 -441 -196
-196
-573 = -588cos(x)
Divide by the coefficient
-573/-588 = -588cos(x)/-588
cos(x) = 573/588
To find x you need to use arcsin or cos^-1
x = arccos(573/588) = 12.969°
Answer:
[tex]\displaystyle 13° = m∠X[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X \\ \\ \frac{-8^2 + 14^2 + 21^2}{2[14][21]} = cos∠X → \frac{-64 + 196 + 441}{588} = cos∠X → 0,9744897959... = cos∠X \\ \\ 12,969468847...° = cos^{-1}\:0,9744897959... \\ \\ 13° ≈ 12,969468847...°[/tex]
As you can see, the inverse function MUST be used towards the end of your result, or elce you will throw it off!
I am joyous to assist you at any time.
Prime numbers between 1 and 11
Answers
Answer:
2, 3, 5, 7, 11
Step-by-step explanation:
jajwjendnna1ll4tllsqk2nenqn
Answer:
2, 3, 5, 7, 11
Step-by-step explanation:
just list all the numbers that are only divisible by itself and 1
1 is just not a prime number
not 4 because it has factors 2x2 as well
not 6 because it has factors 3x2
not 8 because it has factors 4x2
not 9 because it has factors 3x3
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
3 in.
Area = [?] inches?
Enter the number that
belongs in the green box.
Enter
Pls someone help
Answers
Answer:
28.26
Step-by-step explanation:
A = (3.14)(3)^2
A = 3.14 * 9
A = 28.26
Answer:
28.26
Step-by-step explanation:
The area of a circle is
A = pi r^2 where r is the radius
A = 3.14 ( 3)^2
A = 3.14 *9
28.26
Can someone help me with number 18 and explain how to do it please.
Answers
Answer:
its 380
(TRUST ME)
Step-by-step explanation:
Idenify the domain for the function, f(x).
(Negative infinity, infinity)
(Negative infinity, 0) Union (0, infinity)
(Negative infinity, 2) Union (0, 2) Union (0, infinity)
(negative infinity, negative 2) Union (negative 2, 0), union (0, infinity)
Answers
Answer:
[tex]Domain = (-\infty,\infty)[/tex]
Step-by-step explanation:
The function is not given; So, I will answer this question using
[tex]f(x) = 1.6x - 2[/tex]
Required
The domain
In [tex]f(x) = 1.6x - 2[/tex],
- there is no fraction where x is in the denominator
- there is no root where x is in the radicand
This means that, there is no restriction on x.
Hence, the domain is:
[tex]Domain = (-\infty,\infty)[/tex]
Answer:
A. (negative infinity, infinity)
Step-by-step explanation:
what is the surface area of the cone?
•144pi in sq.
•132pi in sq.
•36pi in sq.
•60pi in sq.
Answers
Answer: 144pi in sq
Step-by-step explanation:
A=(Pi)(8)(10)+(pi)(8)=
Pi(80)+pi(64)
144pi in sq
Which expression is equivalent to the expression-6.4-12+4.6
Answers
Answer:
-1
Step-by-step explanation:
answer is -1.
............
-1
-1 is the answer to the question
Answered by Gauthmath must click thanks and mark brainliest
Fred bought 7 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 33 cards left.
How many cards did Fred start with ?
Answers
(If you’re not counting the cards he purchased, then Fred would have 59 cards.)
PLSSS HELPPPP I WILL MAKE YOU BRAINIST PLSSS 26 POINTSSSS Drag the tiles to the correct boxes to complete the pairs. Match the equations of the lines with their graphs.
Answers
What tiles ??????????????
I need help with this one, its too hard for me
Answers
Answer:
<C + <D = < DEK
<D = 40
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<C + <D = < DEK
60 + <D = 100
<D = 100 -60
<D = 40
Answer:
[tex]m\angle C+m\angle D=m\angle DEK[/tex][tex]60+m\angle D=100[/tex]
[tex]m\angle D=100-60[/tex]
[tex]m\angle D=40[/tex]--------------------------
Hope it helps...
NEED ASAP
What is tan^-1(0.52)?
O A. 58.70
O B. 31.3
O C. 7210
OD. 27.50
Answers
Answer:
27.50°
Step-by-step explanation:
tan^-1(0.52) = 27.4744316° = 27.50
Roy spent 3/8 of his money on 10 identical files and 10 identical board games. He then spent 1/10 of the remainder on 6 identical staplers. A board game cost 5 times as much as a file. A stapler cost $1.50 more than a file. (a) How much did Roy spend on a file? (b) How much did Roy spend on a board game?
Answers
Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount
Answer:
Step-by-step explanation:
Complete this item.
For the following figure, can you conclude that / | | m? Select true or false.
Answers
Answer:
true
Step-by-step explanation:
:)
Label five places in the photo that have a slope.
Answers
Step-by-step explanation
The orange machine, the very end of the shovel part. That line is a slope. The middle part of the scooper could also be a slope. The very beginng part of the scooper is also a slope. The bottom part of the scooper is also a slope. The bottom part at the end of the scooper could also be slope.
FOR EASY BRAINLIEST ANSWER THIS QUESTION:
Two cars leave from the same place and travel in the same directionOne car travels one an one third times as fast as the other. After 3 hours, they are 45 miles apart. What is the speed of each car?
Answers
Answer:
22.5 m/h and 7.5 m/h
Step-by-step explanation:
Let's said that x is the speed of the faster car. That means the slower one must have the speed of x/3.
x/3 * 3 + 45 = x * 3
x + 45 = 3x
45 = 3x - x
45 = 2x
x = 22.5
x/3 = 7.5
Add parentheses to the expression so that its value is 70:
4 + 8 × 6 - 2
4 + (8 × 6) - 2
4 + 8 × (6 - 2)
no parentheses are needed
(4 + 8) × 6 - 2
Answers
Answer:
(4 + 8) * 6 - 2
Step-by-step explanation:
P - Parenthesis
E - Exponent
D - Division
M = Multiplication
A - Addition
S - subtraction
(4 + 8) * 6 - 2 = 12 *6 - 2
= 72 - 2
= 70
Answer:
d.) ( 4 + 8 ) × 6 - 2
Step-by-step explanation:
( 4 + 8 ) × 6 - 2
Add 4 and 8.
12 × 6 -2Multiply; 12 by 6.
72 - 2Subtract 2 from 72.
70.Find the area of the sector. Round the answer to the nearest tenth.
Answers
Answer:
63.4
Step-by-step explanation:
Area of arc is (pi*(11)^2*(60/360))=63.4
Mark dropped an object from a bridge 400 feet above ground level
Answers
i think the question is incomplete.Then what happened???? And what to find???
What conclusion can be derived by comparing the central tendencies of the two data sets?
A: (7, 6, 3, 1, 6, 2, 4, 6, 3, 5;
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}
Answers
Find the zeros of the polynomial 99x + 11.
O-1/9
O 1/9
O 9
O-9
Answers
Answer:
-1/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set the polynomial equal to 0 first:
99x + 11 = 0. Now subtract 11 from both sides to get
99x = -11. Now divide both sides by 99 to get
x = -11/99 which simplifies down to
x = -1/9 so the first choice is the one you want.
Points for late night math helpers! Thank you guys :)
Answers
A line passes through the points (0,0) and (4,4). What is the equation of the line?
Answers
Answer:
y = x
Step-by-step explanation:
So what we're going to want to do here is use the slope formula and the general equation y = mx + b.
Let's start.
The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.
Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.
With our slope 1, the answer is just y = x. Very simple equation.
Hope this helped!
What is the y-intercept of this quadratic function f(x) = x2 + 2x + 3
Answers
Hi there!
[tex]\large\boxed{0, 3}[/tex]
Find the y-intercept by substituting in 0 for x:
f(0) = 0² + 2(0) + 3
Simplify:
f(0) = 3
Answer:
0,3
hope this helped !!!
Step-by-step explanation:
