Using the concept of even and odd functions, it is found that, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].What are even and odd functions?In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(-x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.Hence, considering the function has a local max at (-1,3):
If the function is even, it will have another local max at (1,3).If the function is odd, it will have a local min at (1,-3).For a function increasing on [2,5], we have that:
If the function is even, it will be decreasing on [-5,-2].If the function is odd, it will be increasing on [-5,-2].For even functions it will decrease because we have that f(4) > f(3), for example, hence f(-4) > f(-3).
For the odd function it will increase because if f(4) > f(3), then f(-3) > f(-4) due to the negative signal.
More can be learned about even and odd functions at https://brainly.com/question/13048723
#SPJ1
The perimeter of Figure 1 is four times a number minus three.
The perimeter of Figure 2 is two times the same number plus five. The perimeters
of Figure 1 and Figure 2 are the same.
a. Write an equation to find the number.
b. Solve the equation to find the number.
c. What is the perimeter of Figure 2? Explain.
d. Find the perimeter of Figure 1. Compare the perimeter of Figure
perimeter you found for Figure 2 to justify the value of k is correct.
The answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.What is the circumference?The perimeter of a shape is the distance around its edge.So, there have been two figures provided.
Figure 1's perimeter is four times a number minus three, whereas Figure 2's perimeter is two times the same number plus five.Based on the data provided, we must solve the given subparts of the question.Let x be the number.
Figure 1's perimeter will be equal to 4x - 3.Figure 2's perimeter will be equal to 2x + 5.(A) According to the question, the perimeters of both figures are equal.
As a result, the equation will be:
4x-3 = 2x+5(B) By solving the equation:
4x -3 = 2x + 54x-2x = 3 + 52x = 8x = 4As a result, the answer is 4.
(C) Figure 2 perimeter = 2x + 5
= (2 × 4) + 5= 13As a result, the perimeter of figure 2 equals 13.
Therefore, the answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?
Answer:
23.5kg
Step-by-step explanation:
the total mass of the things he bought is what we are asked to find.
13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.
=23.5kg
Given that (-7, 2) is a point on a circle centered at (0, 2), which equation represents the circle?
If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
Given,
Center of the circle = (0,2)
One point on the circle = (-7,2)
First we have to find the distance between the center and the given point
that is the radius of the circle.
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]
d= 7 units
The standard equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values in the equation
[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]
Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
Learn more about circle here
brainly.com/question/23799314
#SPJ1
Answer:
Step-by-step explanation:
7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds
Answer: B
Step-by-step explanation:
I need help on number 4
Reason:
There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.
The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.
We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.
Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.
The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.
what's 4,1 rotated 270 clockwise?
Answer:
should be -1,4
Step-by-step explanation:
Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answer:
Step-by-step explanation:
$52.00
kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. what is the perimeter of the triangle if x
The perimeter of the triangle is 40 feet .
Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4
Now , According to the question:
Let the sides of triangle be a , b , c
a = 3x -4
b = x^2 -1
c = 2x^2 - 15
x = 4
Substitute the value of x in a, b , c
a = 3 × 4 -4 = 8 feet
b = 4 × 4 -1 = 15 feet
c = 2× 4× 4 - 15 = 17 feet
The perimeter of the triangle is sum of all sides
then, a + b + c
= 17 + 15 + 8 = 40 feet
Hence, The perimeter of the triangle is 40 feet .
Learn more about Perimeter of the Triangle at:
https://brainly.com/question/12441664
#SPJ4
A right-angled triangle and a parallelogram are shown b
13 cm
h
6 cm
The area of the parallelogram is 4 times the area of the
The perpendicular height of the parallelogram is hcm.
Find the value of h.
The height h will be equal to 13 cm for the parallelogram.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.
Given that a right-angled triangle and a parallelogram are shown b
13 cm and 6 cm. The area of the parallelogram is 4 times the area of the right angle.
The height h will be calculated as,
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is,
39=156cm square
156 divided by 12
h=13 cm
Therefore, the height h will be equal to 13 cm for the parallelogram.
To know more about an area of the parallelogram follow
https://brainly.com/question/10744696
#SPJ2
6. James and his
friend both started
a part-time job at
the Swimming Hole
earning $8.50 per
hour. James
worked 10 1/2
hours
his first week.
James agreed to
pay his friend $8.25
of his salary for
reimbursement of
gas. How much
money will James
have left after he
pays his friend for
gas?
The amount that James left has left after paying his friend 10% is; $80.325
How to Solve Algebra Word Problems?We are told that James and his friend both earn $8.5 per hour. Thus;
Amount earned by James per hour = $8.5
Amount earned by the friend per hour = $8.5
Total time James works in his first week = 10 ¹/₂ hours
Now, James agreed to pay his friend 1/10 of his salary
Thus, amount that James earned is;
10.5 * 8.5 = $89.25
Thus, amount he has left after paying his friend 10% is;
(100% - 10%) * $89.25 = $80.325
Read more about Algebra Word Problems at; https://brainly.com/question/21405634
#SPJ1
matthew wants to estimate the mean number of sales from l'oreal makeup ads. he records the number of sales from 100 randomly selected l'oreal makeup ads. what is the population?
The population is the ads selected.
What is a population?A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data gathering and analysis in statistics and other branches of mathematics.
Now,
In the given number of sales from 100 randomly selected L'oreal Makeup ads,
The population is all the ads that are being selected for the sales, as it satisfies the definition of Population.Hence, the population is the ads selected.
To learn more about population, refer to the link: https://brainly.com/question/25630111
#SPJ4
there are eight friends each friend wants five gummy bears and there are nine gummy bears and each box how many boxes will they need
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
What is Division by Sharing?
A technique used to introduce the idea of division is sharing equally. It entails dividing a sum equally across groups, one at a time, until each group has the same amount. When teaching division by sharing, physical objects like counters are frequently used.let the number of gummy bears bag = x
9x/8 = 5
9x = 40
x = 4.4
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
Learn more about sharing and divisions
brainly.com/question/112003
#SPJ4
i need help please thanks
Answer:
the answer is the answer of the answer okay answer
Step-by-step explanation:
the answer is the answer of the answer okay aanswer
GUYS HELP 4-10! ASAP IF YOU CAN EXPLAIN STEP MY STEP SO I CAN UNDERSTAND NEED MY GRADES UP! PLEASE HELP Please help. I need to get my grades up so the help would really mean a lot!
Step-by-step explanation:
so, the best way to help you is to help you understand how to solve such problems yourself.
let me know if you still don't understand something :
4.
this you can solve just by common sense.
let's see if you understand it with smaller numbers :
1 ball costs $3. how much will 2 balls cost ? well, twice as much : 2×3 = $6.
how much will 3 balls cost ? hmmm ? three times as much : 3×3 = $9.
and so on.
so, how much will 10 balls cost ? right, ten times a much : 10×3 = $30.
now,
8 eggs for 3 cups of flour.
how many eggs for 30 cups of flour ? you notice that 30 is 10 times 3, right ?
yes, ten times a many eggs : 10×8 = 80 eggs.
5.
3 quarters simply means 3/4.
if we want to know how much 3/4 of something is, we have to multiply that something by 3/4.
so, for 60 students :
60 × 3/4 = 180/4 = 45 students bring a lunch from home.
6.
similar to 4.
5 books in 2 days.
how many books in 8 days ?
you notice that 8 is 4 times 2 ?
so, yes, 4 times as many books : 4×5 = 20 books.
7.
now we are getting into areas, where we need more thinking and apply formal mathematics.
10 pounds jam requires 5 pounds apples.
8 pounds jam require x pounds apples.
the easiest way is to use ratios :
jam to apples = 10/5 = 2/1 = 2
8 pounds jam to x pounds apples must follow the same ratio, as we are using the same recipe.
8/x = 2
8 = 2x
x = 4
so, to get 8 pounds of jam we need 4 pounds of apples.
8.
it seems they were very, very hungry ...
Jenny ate 6 1/4 pizzas.
Dolly ate 5 1/4 pizzas.
6 1/4 = (6×4 + 1)/4 = 25/4
5 1/4 = (5×4 + 1)/4 = 21/4
so, Jenny ate 25/4 / 21/4 = 25/21 = 1.19047619... times more pizza.
or in other words she ate
25/4 - 21/4 = 4/4 = 1 more pizza.
9.
so, he wins 5 of every 15, that is a ratio of 5/15 = 1/3.
he had 75 matches. 1/3 of 75 matches (see also 5.) means
75 × 1/3 = 75/3 = 25.
he won 25 matches.
10.
Mrs. Paul is 145 cm tall.
the daughter is 1/5 of that. see 5. and 9. :
1/5 of 145 means
145 × 1/5 = 145/5 = 29 cm
her daughter is 29 cm tall (a baby).
a fair six-sided die is rolled twice. what is the probability of getting 2 on the first roll and not getting 4 on the second roll?
The probability of getting 2 on the first roll and not getting 4 on the second roll is 5/36.
The two events mentioned are independent.
Given, first event getting 2 on the first roll and second event getting 4 in second roll.
So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.
P (getting first 2) = 1/6
P (no second 4) = 5/6
Therefore P (getting first 2 and no second 4) = 1/6 x 5/6 = 5/36
Learn more about probability - https://brainly.com/question/14210034?referrer=searchResults
#SPJ4
What’s the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?
7, 28, 63, 112.. 175..
Answer: 7, 28, 63, 112, 175, 252, 343, ...
Step-by-step explanation:
7, 28, 63, 112, 175
7*1, 7*4, 7*9, 7*16, 7*25, ...
7*1², 7*2², 7*3^2, 7*4², 7*5²
Hence, 7n², n=1, 2, 3, 4, ...
7*6²=
7*6*6=
252
7*7²=
7*7*7=
343
Thus,
7, 28, 63, 112, 175, 252, 343, ...
Answer:
good luck brooooooooooo
orthogonality on a circle suppose that ab is the diameter of a circle with center o and that c is a point on one of the two arcs joining a and b. show that ca⇀ and cb⇀ are orthogonal.
It is proved that ca⇀ and cb⇀ are orthogonal .
Let AO = - u vector , OB = u vector and OC = α vector .
According to question ,
u * u = v * v = r ^ 2 and
AC vector = AO vector + OC vector = u + v
BC vector = BO vector + OC vector v - u ,
Applying dot - product ,
( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )
= ( v . v ) - ( u . u )
= ( r ^ 2 ) - ( r ^ 2 )
= 0
Hence , AC and BC are orthogonal .
To learn more on orthogonality :
https://brainly.com/question/1952076
#SPJ4
Find the slope of the line that passes through the given points.
(-4,3) and (9,-2)
m=
Answer:
m=-5/13
Step-by-step explanation:
(-4,3) and (9,-2)
y2-y1/x2-x1
-2-3/9+4
-5/13
Hope this helps!
Please mark as brainliest if correct!
Tulong bukas na deadlinee plss
Answer:
I don't know it like off
HELP MEEE PLEASEEEEEEEE
Answer:
the answer is blank, don't type anything in just f a I l
a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?
The angle for shooting laser gun should be 89.98°.
The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).
Writing the formula for tan theta, that relates the given height and distance
Now, tan θ = vertical height ÷ horizontal distance
Keep the values in above mentioned equation of theta to find the angle.
tan θ = [tex]\frac{443443443}{181818}[/tex]
Performing division to find the tan theta and subsequently calculate the angle
tan θ = 2438.94
θ = tan⁻¹ 2438.94
Calculating tan inverse to find the value of theta
θ = 89.98°
Therefore, the angle for shooting laser gun by a men in black agent should be 89.98°.
Learn more about calculation of angle -
https://brainly.com/question/21865829
#SPJ4
que es limite al infinito en calculo diferencial?
Help?? The answer isn't -1026 btw i already guessed :(
Answer:
153
Step-by-step explanation:
12² - 3 [ 4([tex]\frac{1}{4}[/tex] - [tex]1^{8}[/tex] ) ] ← evaluate the inside part of the bracket
= 144 - 3 [ 4([tex]\frac{1}{4}[/tex] - 1) ]
= 144 - 3 [ 1 - 4 ]
= 144 - 3(- 3)
= 144 + 9
= 153
Torvald uses an equation to produce the following table of
ordered pairs:
X
-2
0
y
-7
-3
1
5
Which equation describes this list?
24
Answer:
x + 4
For the equation to be true, you have to input the x value and it should give you the y value that corresponds. For example, we will input -2. Hopefully we get -7
-2 + 4
2
this means that x + 4 is not correct.
What about -3x? lets see
-3(-2)
-6
nope!
2x - 3
2(-2) - 3
-4 - 3
-7!!
2x - 3 is the answer!!
Step-by-step explanation:
PLEASE HELP.. Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 46,638(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
A. y ≥ 0
B. y < 46638
C. 0 < y ≤ 46638
D. ℝ
Using it's concept, the range of the given exponential function is:
C. 0 < y ≤ 46638.
What is the range of a function?The range of a function is the set that contains all possible output values for the function.
In this problem, the function is:
y = 46,638(0.78)^x.
It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:
C. 0 < y ≤ 46638.
More can be learned about the range of a function at https://brainly.com/question/28388172
#SPJ1
Which is traveling faster, the car or the train? be prepared to explain your reasoning.
This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems.
It also allows students to estimate decimal calculations.
Students are likely to approach the question in a few different ways. As students work, notice students using each strategy.
By finding or estimating the speed of the train in miles per hour and comparing this to the speed of the car
By finding the distance the car travels in 4 hours and comparing it to the distance the train travels in 4 hours
For more information on speed click on the link below:
https://brainly.com/question/13943409
#SPJ4
Find the volume of the figure
Answer: 5 m³
Step-by-step explanation:
We will break the figure into two different parts.
Volume of a rectangular prism can be found with V = L * W * H
V = L * W * H
V = (2 m) * (1.5 m) * (1.5 m)
V = 4.5 m³
-
V = L * W * H
V = (2 m) * (2 m - 1.5 m) * (0.5 m)
V = 0.5 m³
Now, we will add them together.
4.5 m³ + 0.5 m³ = 5 m³
Answer:
5m³
Step-by-step explanation:
Hello!
You can picture this rectangular prism as a whole prism with a part removed.
The dimensions of the whole prism are 1.5m, 2m, and 2m.
The part cut out is 1m, 0.5m, and 2m.
We can find the volume of the whole rectangular prism and subtract the volume of the removed part.
Find the volume(1.5 * 2 * 2) - (1 * 0.5 * 2)6 - 15Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.
Systems by elimination
2x - y = 2
-8x + 4y = −8
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by elimination.
2x−y=2;−8x+4y=−8
Multiply the first equation by 4,and multiply the second equation by 1.
4(2x−y=2)
1(−8x+4y=−8)
Becomes:
8x−4y=8
−8x+4y=−8
Add these equations to eliminate x:
0=0
Which image displays a segment perpendicular to AC?
Answer:
B
Step-by-step explanation:
Image B displays a segment perpendicular to AC.
Constructions are precise drawings of geometric shapes, angles, and lines. We'll need a pencil, a ruler (a straight-edge), and compasses to do this. The fundamental constructions are the perpendicular bisector and the angle bisector.
Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
If two geometric objects intersect at a right angle, they are perpendicular. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
In image B, the bisector BD is dividing the line AD into two equal halves.
To know more about geometry follow
https://brainly.com/question/24334771
#SPJ2
Three times a number k minus 5/3 is no more then 4/9
Answer:
right that is good try hard
Answer:
( 3 * k ) - [tex]\frac{5}{3}[/tex] [tex]\leq[/tex] [tex]\frac{4}{9}[/tex]
Hope this helps.
Step-by-step explanation: