Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Odd and Even Functions.
Basically an Even Function is such that,
If there is a function f(x) is positive, then if we replace x as -x, then also it should give a positive function such as,
f(x) = f(-x)
thus, square of any function is always positive, so the answer is, option 2)
===> g(x) = 2x^2 + 1
Related Questions
Some points were initially placed on a line. After that, a point was inserted between each pair of neighboring points. After that, such an insertion was repeated two more times. 113 points are on the line as a result. How many points were placed on the line initially?
Answers
Answer: The initial number of points on the line was 15.
Step-by-step explanation:
8n-7=113
8n=120
n=15
Answer:
15 points
Step-by-step explanation:
Initial number of points= x
It can be added 1 less points between the existing ones, so:
Step 1
added x-1, and number of points become x+x-1= 2x- 1Step 2
added 2x-1-1= 2x-2 and number of points become 2x-1+2x-2= 4x-3Step 3
added 4x-3-1= 4x-4 and finally we have 4x-3 + 4x-4= 8x -7 pointsNow,
8x-7= 1138x= 120x=120/8x=15Number of initial points is 15
Help please and explain it
i posted this one before but it got deleted somehow
Answers
Answer:
2) [tex]\frac{1}{4} c[/tex]
3/4 of the cyclists did not finish, thus 1/4 did.
3) [tex]59-t[/tex]
56 people were on the bus. 3 people got on(56+3=59). Then t people got off(-t)
4) [tex]\frac{G}{30}[/tex]
Out of 30 people, g of the are girls
5) [tex]\frac{16}{c}[/tex]
Out of c people, 16 are boys
Hope it helps <3
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answers
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Answers
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
The cost to write an ad in a news paper is $10 plus $0.25 per word. Write an inequality that can be used to find the maximum amount of words Marianne can put in her ad if the most she can spend is $15.
Answers
Answer:
f(x)=10+0.25x
she can put maximum 20 words
Step-by-step explanation:
f(x)<=15
10+0.25x<=15
0.25x<=5
x<=20
Answer:
10 + .25 w ≤15
Step-by-step explanation:
The flat fee is 10 dollars
It is .25 per word
10 + .25w
This must be less than or equal to the amount she has to spend
10 + .25 w ≤15
In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
Answers
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answers
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
Answers
Answer:
The correct option is D
D) the height of the rock 3.2 seconds after it is propelled
Question:
The question is incomplete as it doesn't say what to find. I know that whole question which is given below
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?
A) the height of the rock 3.2 seconds before it reaches the ground
B) the time it takes the rock to reach the ground, or 3.2 seconds
C) the time it takes the rock to reach a height of 3.2 meters
D) the height of the rock 3.2 seconds after it is propelled
Solution:
h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.
Help, I don't understand
Answers
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
What is an equation of the line that passes through the points (-7, -6) and
(-1,0)?
Answers
Answer:
equation of line:
y = mx+c
1) find the gradient, m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]
[tex]m = 1[/tex]
2) find y-intercept, c using coordinate (-1,0)
y = mx + c
0 = 1(-1)+ c
-1 + c = 0
c = 1
the equation of line: y = x + 1
Choose the biconditional statement that could be based on the following: P → Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. Q → P: If its opposite sides are parallel, then a quadrilateral is a parallelogram. Question 1 options: A) P ↔ Q: A quadrilateral is a parallelogram if and only if its opposite sides are parallel. B) P ↔ Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. C) ∼P → ∼Q: If a quadrilateral isn't a parallelogram, then its opposite sides aren't parallel. D) P → P: If a quadrilateral is a parallelogram, then it's a parallelogram.
Answers
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P
Step-by-step explanation:
A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.
The symbol is q arrows going both ways (⇔) p
Hope this helps!!
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP
Step-by-step explanation:
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answers
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (13.5, 14, 20 , 28) meters and the total length of the carpet is (25.5, 26 ,32 ,40) meters. which number in the () is correct?
Answers
Answer:
28 meters.
40 meters.
Step-by-step explanation:
Let x be the length of the larger piece, then we have:
1/4 x + 5 = 12
1/4 x = 12 - 5
1/4 x = 7
Multiply both sides by 4:
x = 28 meters.
The total length of the carpet = 12 + 28 = 40 meters.
The length of bigger piece is 28 and the total length of carpet is 40.
How to find the length of object from problem statement -By the problem,
A machine cuts a strip of carpet into two pieces.
Given, length of smaller piece is 12 meters .
Also given, length of smaller piece = 5 + 1/4 (length of larger piece)
⇒ Length of larger piece = 4*(length of smaller piece - 5) meters
= 4*(12 - 5) meters
∴ Length of larger piece is = 28 meters
Thus the total length of carpet is = length of larger piece + length of smaller piece .
∴ Total length of carpet is = (28 + 12) meters = 40 meters
The length of bigger piece is (28)
The total length of carpet is (40)
To learn more about statement problem, refer -
https://brainly.com/question/18648288
#SPJ2
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answers
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?
Answers
Answer:
18 numbers
Step-by-step explanation:
These are all the two digit numbers with at least one 7.
17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answers
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
For more references on the Recursive Formula, click;
https://brainly.com/question/8972906
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Problem 3
Your cat had a litter of seven kittens of the kittens are female and white, and of the kittens are white. What is the
probability that your cousin will choose a female kitten given that it is a white?
Answers
Answer:
3/4
Step-by-step explanation:
From the above question, total number of cats in the litter = 7
We are told in the question that 4/7 of the kittens are white
This means
The number of kittens that are not white = 7 - 4/7 = 3/7
The number of kittens that are female and white = 3/7
This question is a conditional probability question
The probability that your cousin will choose a female kitten given that it is white is calculated as:
Probability that the kittens are female and white ÷ Probability that the kittens are white
= 3/7 ÷ 4/7
= 3/7 × 7/4
= 3/4
Therefore, probability that your cousin will choose a female kitten given that it is a white is 3/4
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Answers
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation [tex]A = P(1+rt)[/tex]
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]
Round to the nearest whole cent
P = $18,181.82
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters. A circle is shaded blue. A small unshaded square is at the center of the circle.
Answers
Answer:
31/40
Step-by-step explanation:
The question is incomplete. Here is the complete question with appropriate diagram.
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.
What is the probability that a point chosen at random is in the blue region?
Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.
Using the formula Area of a circle = πr²
314 = 3.14r²
r² = 314/3.14
r² = 100
r = 10 cm
Diameter of the circle = 2*10 = 20 cm
Area of a square = Length * length
Area of the outer square = 20*20 = 400cm²
Area of the inner square with side length 2cm = 2*2 =4cm²
Area of the shaded region = Area of the square - Area of the inner square
= 314-4 = 310cm²
The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square
= 310/400
= 31/40
Answer: its 2/157
Step-by-step explanation: edg 2020
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answers
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
**true or false**
all functions are relations but not all relations are functions
explain
Answers
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Step-by-Step explanation: simple mathematics
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answers
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
What is the value of the expression 1.3(x + 2)-(y - 6) when x = 4 and y = 2
A) 1.1
B) 11.8
C) 2.6
D) 26
Answers
Answer:
11.8Option B is the right option.
solution,
X=4
y=2
now,
[tex]1.3(x + 2) - (y - 6) \\ = 1.3(4 + 2) - (2 - 6) \\ = 1.3 \times 6 - ( - 4) \\ = 7.8 + 4 \\ = 11.8[/tex]
Hope this helps..
Good luck on your assignment
Answer:
It's 11.8
Step-by-step explanation:
Hey guys please help find the area
Answers
Answer: 120 inches
Step-by-step explanation: because 12 times 10 is 120
Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?
y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE
2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE
3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE
Answers
Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
Help me please I need help
Answers
Answer:
4 to the power of 8
Step-by-step explanation:
if they have the same base number with a exponent u can add the exponenets together to simplify it but if they dont have the same base number you can not add the exponents together
Answer:
b.
[tex] {4}^{8} [/tex]
Step-by-step explanation:
With the same base you just add the exponents.
Divide. Simplify(or reduce) 32 dived by seven eights
Answers
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
- Mg (3) + O2(g) → 2 Mgo (3)
Answers
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
absolute temperature of 273.15 K absolute pressure of 1 atmUsing the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
4a-5=3 simplify this pleaseeee
Answers
Answer:
Hey there!
Given Equation
4a-5=3
Add 5 on both sides
4a=8
Divide by 4 on both sides
a=2
Hope this helps :)
Answer:
a= 2Step by step explanation
4a - 5 = 3
Add 5 on both sides:
4a - 5 +5 = 3 + 5
Simplify
4a = 8
divide both sides by 4
4a/4 = 8/4
Simplify
a = 2
Hope this helps...
Good luck on your assignment..
I tried to do this but it makes it wrong :,(
Answers
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation: