Answer:
0, 1, 2
Step-by-step explanation:
There is a way for them to intersect at 0 points, for example y=x^2 and y = -1
The way to intersect at 1 point is for the linear function to be tangent to the parabola, like y = x^2 and y = 0
The way to intersect 2 points is just for the linear function to be a secant to the parabola, like y = x^2 and y = 1
What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)
Answer: Choice D
[tex](-\infty, -2) \cup [4, \infty)[/tex]
=====================================================
Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying [tex]-\infty < x < -2[/tex]
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
f(x) = –22 + 10x – 2
Find f(-5)
Answer:
f(-5) = -74 you have to change the x to -5 and then solve
What is the volume of the rectangular prism?
Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3
Answer:
3 1/3 FT 3
Step-by-step explanation:
im not sure if this right but i tried lol
Answer:
There is not enough info you need to add a picture of the box to measure it.
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Answer:
c(h)=12h+6
because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis
alicia runs 5 miles in 40 minutes, if she ran at the same rate. how long would it take her to run 2 miles
Answer:
15 miles
Step-by-step explanation:
if she runs 5 miles in 40 minutes her average speed is 5÷40 = 0.125 miles per min
2 hours = 60 mins × 2 = 120 mins
if she runs 0.125 miles per minute, then 2 hrs = 120 mins × 0.125 = 15 miles
Find the volume of the solid whose base is the region Ix I Iy I < 1 and whose vertical cross sections perpendicular to the y-axis are semicir- cles (with diameter along the base) g
Answer:
volume of the solid = [tex]\frac{\pi }{3}[/tex]
Step-by-step explanation:
As given , the region : |x| + |y| [tex]\leq[/tex] 1
when y [tex]\geq[/tex] 0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = [tex]\frac{1}{2}[/tex][tex]\pi x^{2}[/tex]
Now,
Volume = [tex]\int\limits^0_-1 {\frac{\pi }{2} (1+y)^{2} } \, dy[/tex] + [tex]\int\limits^1_0 {\frac{\pi }{2} (1-y)^{2} } \, dy[/tex]
= [tex]\frac{\pi }{2} (\frac{(1+y)^{3} }{3} )[/tex] - [tex]\frac{\pi }{2} (\frac{(1-y)^{3} }{3} )[/tex]
= [tex]\frac{\pi }{6}[/tex][1-0] - [tex]\frac{\pi }{6}[/tex][0-1]
= [tex]\frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}[/tex]
⇒volume of the solid = [tex]\frac{\pi }{3}[/tex]
Volume of the solid is the value of the capacity of the object that can be hold by it. Thus the value of the volume of the given solid is,
[tex]V=\dfrac{\pi}{3} [/tex]
Given information-The vertical cross sections of the solid is perpendicular to the y-axis.
The region of the base is,
[tex]|x|+ |y|\leq 1[/tex]
VolumeVolume of the solid is the value of the capacity of the object that can be hold by it.
When the value of the variable y is greater than or equal to zero than the value of the x is,
[tex]|x|=1-y[/tex]
When the value of the variable y is less than or equal to zero than the value of the x is,
[tex]|x|=1+y[/tex].
Given inequality makes a square with the corners (1,0), (0,1),(-1,0),(0,-1).
Now the limit for the given solid is between 0 to 1 and area is equal to the semicircle which is,
[tex]A=\dfrac{\pi x^2}{2} [/tex]
Thus the volume of the solid whose area bounded by the region 1 to -1 and vertical cross section is semicircle can be given as,
[tex]V=\int\limits^1_0 {\dfrac{\pi x^2}{2} } \, dx [/tex]
[tex]V=\dfrac{\pi}{2} [\;\;\int\limits^1_0 {(1+y)^2} \, dy +\int\limits^1_0 {(1-y)^2} \, dy ][/tex]
[tex]V=\dfrac{\pi}{2} [\;\;\dfrac{\int\limits^1_0 {(1+y)^3}}{3} \, +\dfrac{\int\limits^1_0 {(1-y)^3} \, }{3} ][/tex]
[tex]V=\dfrac{\pi}{6} [\;\;\ {(1-0)^3} \, +{(0-1)^3} \, ][/tex]
[tex]V=\dfrac{\pi}{3} [/tex]
Thus the value of the volume of the given solid is,
[tex]V=\dfrac{\pi}{3} [/tex]
Learn more about the volume of the solid here;
https://brainly.com/question/2254156
at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies
Step-by-step explanation:
Given that the ratio of zebras are 5 and giraffes are 2
We add them giving is 7
So: giraffe=2/7 × 21 = 6
Zebra 5/7 × 21 = 15
help due in 15min
Simplify each expression
2(x + 4) - 3(y + 2x)
2d + 3(4d + 2k) - 3k
5(4m - 2r + 7) + 4m + 3r
Answer:
The last lines are the final answers, if you need a deeper explanation let me know but I wanted to make sure you understood and got it in time.
Step-by-step explanation:
2(x+4)-3(y+2x)
2x+8-3y-6x
-4x-3y+8
2d+3(4d+2k)-3k
2d+12d+6k-3k
14d+3k
5(4m-2r+7)+4m+3r
20m-10r+35+4m+3r
24m-7r+35
I hope I didn't get anything wrong in a hurry!
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
Finn,Rita,And Marcus have 4 honey nut bars to share equally? How many honey bars does each person get? Each person gets______bars?
HELP ME PLEASE,GUYS!
Answer:
4/3=1 1/3
Step-by-step explanation:
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represents the number of games that require 4 tokens.
Janie plays the 3-token game four times. Write two equivalent expressions to represent the number of tokens that Janie will need to play each of the three games at least one time.
12
3 + 3 + 3 + 3 = 12
3 x 4 = 12
Thanks!! <3
Find 3.5% of 950 g.
Answer:
33.25 g
Step-by-step explanation:
Answer:
33.25 g
plz refer to the picture
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
Geometry pls halp... I have been asking this single question for over half an hour
Answer:
first one is SAS
Step-by-step explanation:
plz help will make brainliest!!!
Answer:
Answer is true.
Hope this helps.
i give 10 points and brainliest
Answer:(5,-9)
Step-by-step explanation:
5. In the right triangle shown below, the length of side AB is x, the length of side BC is x + 2, and the length of the
hypotenuse AC is x + 4. Use this information to find the length of each side. (Use the Pythagorean theorem to get
an equation, and solve for x.)
I need an answer quick!!!
It’s from the problem set to lesson 17 M.1
Answer:
[tex]AB = 6[/tex] [tex]BC = 8[/tex] [tex]AC = 10[/tex]
Step-by-step explanation:
The picture of the triangle is missing.
Given
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
Required
Find x
When Pythagoras theorem is applied, we have:
[tex](AC)^2 = (BC)^2 + (AB)^2[/tex]
This is so, because AC is the hypotenuse
So, we have:
[tex](x+4)^2 = (x+2)^2 + x^2[/tex]
Open brackets
[tex]x^2 + 4x + 4x + 16 = x^2+2x + 2x + 4 + x^2[/tex]
[tex]x^2 + 8x + 16 = x^2+4x + 4 + x^2[/tex]
Collect Like Terms
[tex]x^2 -x^2 - x^2 + 8x -4x + 16 - 4 = 0[/tex]
[tex]- x^2 + 4x + 12 = 0[/tex]
Expand:
[tex]- x^2 + 6x -2x+ 12 = 0[/tex]
Factorize:
[tex]-x(x -6) -2(x- 6) = 0[/tex]
[tex](-x -2)(x- 6) = 0[/tex]
Split
[tex]-x - 2 = 0[/tex] or [tex]x - 6 = 0[/tex]
[tex]-x = 2[/tex] or [tex]x = 6[/tex]
[tex]x =-2[/tex] or [tex]x = 6[/tex]
Because [tex]BC = x + 2[/tex] and [tex]AB = x[/tex]
[tex]x =-2[/tex] can not be considered.
Hence:
[tex]x = 6[/tex]
Substitute 6 for x in
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
[tex]AC = 6 + 4[/tex]
[tex]AC = 10[/tex]
[tex]BC = 6 + 2[/tex]
[tex]BC = 8[/tex]
[tex]AB = 6[/tex]
Please help. . . . . . . . .
9514 1404 393
Answer:
recursive: 5, 3, 2
explicit: 5, 3
Step-by-step explanation:
First of all, you can identify the first term as a1 = 5.
Then you can see that the ratio of consecutive terms is ...
15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio
In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.
[tex]\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}[/tex]
__
The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.
[tex]\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}[/tex]
I'll give the brainiest IF you answer this correctly.
Answer:
Um the North China Plain
Step-by-step explanation:
Is dis math...
Enter the product.
0.76 x 1,000 =
Answer:
760
Step-by-step explanation:
this is the answer you just add zeros and move the decimal
Que forma tiene un hexágono y como se entre si?
Answer:
Al igual que los cuadrados y los triángulos equiláteros, los hexágonos regulares encajan sin ningún espacio para enlosar el plano (tres hexágonos se encuentran en cada vértice), por lo que son útiles para construir mosaicos.
If the following figure is a rectangle, find the missing measures. round all answers to 1 decimal place if necessary.
Answer:
VW=31
WX=19
YW=36.4 or [tex]\sqrt{1322}[/tex]
ZX= 18.2 or [tex]\frac{\sqrt{1322} }{2}[/tex]
VX= 36.4 or [tex]\sqrt{1322}[/tex]
Step-by-step explanation:
Since the figure is a rectangle certain rules about the lengths of its sides and diagonals apply. One such rule is that opposite sides are equal, so YX=VW and VY=WX. Then you need to find the length of the diagonals by using the Pythagorean theorem since the diagonals cut the rectangle into two right triangles. By using the theorem you can find that the length of the diagonal YW is 36.4 or [tex]\sqrt{1322}[/tex], and since all diagonals are congruent VX is the same. Finally, in rectangle diagonals bisect each other, therefore part of one must be half of the total, so ZX must be half of VX.
HELP MY MOM IS GOING TO KILL ME
Answer:
−a2+17b
Step-by-step explanation:
Pls help quick………… Math
if Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
a- (x,y) -> (-5,7y)
b- (x,y) -> (5/2x,5/2y)
c- (x,y) -> (5x,5y)
d- (x,y) -> (5/2x,7/3y)
Answer:
B [tex](x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)[/tex]
Step-by-step explanation:
Dilations
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B [tex]\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}[/tex]
Solve for x Show all steps
25 x² + 100 = 0
Step-by-step explanation:
25x² + 100 = 0
25(x² + 4) = 0
x² + 4 = 0
x² = -4
Since x² >= 0 for all real values of x, there is no real solution for x. However there are complex solutions.
=> x = ±√-4
=> x = 2i or x = -2i.
Amber is arranging 5 vases of flowers for a party. She fills each vase with 1/3 cup of water. How much water did she use?
Answer:
Step-by-step explanation:
5 * 1/3=5/3
5/3=1 2/3 water for 5 vases
Three less than the quotient of a number and 4 is 13. What is the number? Let n be the unknown number
Answer:
64
Step-by-step explanation:
n/4-3=13
n/4=16
n=64
What is the slope of the line? question 3
Answer:
slope =1
Step-by-step explanation:
hope it help you
Answer:
Undefined.
Step-by-step explanation:
The x-coordinates of the points along the straight line are always 1.
slope = change in y-coordinate/change in x-coordinate.
Since the change in x-coordinate is 0 (1-1=0), the denominator in the above will be 0 and the fraction (i.e. the slope) would be undefined.
write the standard number 723,600 in scientifict notation
Answer:
723,600 = 7.236 × [tex]10^{5}[/tex]
Step-by-step explanation:
Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.