Answer:
The function [tex]f:\mathbb Z\to\mathbb Z,~f(x)=3x+4[/tex] is injective (one-to-one).
Step-by-step explanation:
The definition of an injective function follows.
Let [tex]X,Y[/tex] be sets. Let [tex]f:X\to Y[/tex] be a function. We say [tex]f[/tex] is injective if, for all [tex]x,y\in X[/tex], [tex]f(x)=f(y)[/tex] implies [tex]x=y[/tex].
This is the proof that [tex]f:\mathbb Z\to\mathbb Z,~f(x)=3x+4[/tex] is injective.
Let [tex]x,y\in\mathbb Z[/tex] and assume [tex]f(x)=f(y)[/tex]. This means [tex]3x+4=3y+4[/tex]. Subtracting [tex]4[/tex] gives [tex]3x=3y[/tex], then dividing by [tex]3[/tex] gives [tex]x=y[/tex]. Thus [tex]f[/tex] is injective.
5 4. Cos^8A - singa^8A
Answer:[tex]z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))[/tex]
Step-by-step explanation:
Needs to be done using the Pythagorean Theorem
Answer:
11.3 ft high
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
4² + b² = 12²
16 + b² = 144
b² = √128
b = 11.3
The angle between a chord and a targent is equal to the angle in the alternate segment
that's the diagram above
if <BAD =19°
find <ACB
Answer:
19
Step-by-step explanation:
The angle between a chord and a targent is equal to the angle in the alternate segment
if <BAD =19°
<ACB=19
what is the maximum number of students among whom 100 orange ,150 cirtrus, and 250 guavas can be equally distirbuted ? what is the share of each fruits for a student?
Answer:
Hello,
Step-by-step explanation:
HCF(100,150,250)=50*HCF(2,3,5)=50*1=50
Part of each fruits for a student:
2 oranges, 3 cirtrus and 5 guavas.
The 25th percentile for waiting time in a doctor's office is 25 minutes. The 75th percentile is 40 minutes. The interquartile range (IQR) is
Group of answer choices
15 minutes.
14 minutes.
impossible to determine without knowing n.
13 minutes.
Answer:
15 minutes
Step-by-step explanation:
The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.
Michigan and Michigan State play each other this Saturday in football. Based on data from ESPN, Michigan averages 38.1 points per game with a SD of 8.4 and average 424 yards gained per game with a SD of 72. The correlation between points scored and yards gained is 0.68. Thus:
Average points = 38.1, SD= 8.4
Average yards gained = 424, SD= 72, r = 0.68
Required:
a. Find the slope of the regression equation for predicting number of points scored based on average yards gained per game). Report your answer to 4 decimal places.
b. If Michigan gains 500 yards in the game against Michigan State, what is Michigan's predicted points scored? Round to the nearest whole number.
Answer:
200000
by 10009
Step-by-step explanation:
nbebsbsbsbbsbsbsbsbBz
Can anyone help me?
Answer:
y is not a function of x
Step-by-step explanation:
This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
How many gallons of a 5% bleach solution must be
added to 10 Gallons of a 20% bleach solution to
produce that is 15% bleach
Answer:
Step-by-step explanation:
10 gallons of the 20% solution contain 2 gallons of bleach.
x gallons of the 5% solution contain 0.05x gallons of bleach.
If the two are combined, the resulting 10+x gallons contain 2+0.5x gallons of bleach. The concentration is (2+0.05x)/(10+x).
(2+0.05x)/(10+x) = 15%
2+0.05x = 0.15(10+x)
2+0.05x = 1.5+0.15x
0.5 = 0.10x
x = 5
5 gallons of 5% solution is added to the 10 gallons of 20% solution.
Find the coordinates of the vertices of the figure after the given transformation: T<0,7>
A. X′(1,−1),L′(0,2),W′(2,1)
B. X′(−4,2),L′(−5,5),W′(−3,4)
C. X′(3,2),L′(2,5),W′(4,4)
D. X′(0,−3),L′(−1,0),W′(1,−1)
Answer: B
Step-by-step explanation:
Why did historians choose to study this topic?
What is 3 times 10^9
Answer:
3 times 10 ^ 9
Step-by-step explanation:
3 × 10 ^ 9 = 3000000000
453,193 what is the value of the 5
Answer:
50,000
Step-by-step explanation:
3 is in the ones place so 3
9 is in the tens place (90)
1 is in the hundreds place (100)
3is in the thousands place (3,000
modeled by a cylinder with diameter 15 feet
(2f-1)^2, please help, also tell me how to give you brainlyist, or what ever it’s called
9514 1404 393
Answer:
4f^2 -4f +1
Step-by-step explanation:
It can be useful to memorize the form of the square of a binomial:
(a +b)^2 = a^2 +2ab +b^2
Here, you have a=2f and b=-1. Then the square is ...
(2f)^2 +2(2f)(-1) +(-1)^2 = 4f^2 -4f +1
__
More generally, the distributive property applies.
(2f -1)^2 = (2f -1)(2f -1) = 2f(2f -1) -1(2f -1)
= (2f)(2f) +(2f)(-1) +(-1)(2f) +(-1)(-1) = 4f^2 -2f -2f +1 = 4f^2 -4f +1
For what value of x is the parallelogram a rhombus.
Answer:
Step-by-step explanation:
2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°
22x + 26 = 180
22x = 154
x = 7
X>70
y<45
What is the smallest whole number value of x - y?
Answer:
27
Step-by-step explanation:
x-y
We are subtracting and we want the smallest number
We want the smallest number for x and the largest number for y
The smallest number for x is 71
The largest number for y is 44
71-44
27
URGENT! 15 PNTS
Points T, R, and P, define _____
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
Answer:
Since points T, R, and P are all present on plane B, the answer is A.
Points T, R, and P define plane B
We have given that,
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
We have to determine the Points T, R, and P, define
What is the plane?A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle.
Since points T, R, and P are all present on plane B, the answer is A
Points T, R, and P define plane B.
To learn more about the plane visit:
https://brainly.com/question/2644832
#SPJ5
If a drawing of a house is 12 inches tall and the scale ratio is 1 inch:6 feet, how tall is the house?
А
6 feet
B
18 feet
C
72 feet
D
82 feet
Answer:
72 ft
Step-by-step explanation:
We can use a ratio to solve
1 inch 12 inches
---------- = -----------
6 ft x ft
Using cross products
1 * x = 6*12
x = 72 ft
HELP HELP ASAP!!! ANYONE ANYONE
Answer:
Step-by-step explanation:
factor each total
27 = 3 x 3 x 3
18 = 3 x 3 x 2
45 = 3 x 3 x 5
The largest (and only) common factor is 3
however each factorization also contains the product 3 x 3 = 9
so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.
another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.
a number is divisible by 10 if it has ____ in ones place .
Answer:
A number is divisible by 10 if it has a zero in ones place.
Step-by-step explanation:
We know that 10= 2 x 5 .So to be divisible by 10 we have to be divisible by both 2 and 5As we know ,Numbers divisible by 2 are even numbers and numbers divisible by 5 if it has a zero or a five in ones place . From that, we have A number is divisible by 10 if it has a zero in ones place.please help me with this
——/———————-////—————-
Answer:
"C"
Step-by-step explanation:
-B means the B is in the opposite direction
Five more than twice a number is three. Write that in equation
Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
15. (x - 3)
If f(x) = 2x2 – 5, find the following.
16.fly-2)
17. f(a+h)-f(a)
Answer:
16. f(y-2) = 2(y-2)²-5
= 2(y²-4y+4)-5
= 2y²-8y+8-5
= 2y²-8y+3
17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)
= 2(a²+2ah+h²)-5-2a²+5
= 2a²+4ah+h²-2a²
= h²+4ah
Mr. Green just spent $11.95 on a
haircut. About how much should he
leave for a 15% tip?
1) you find the multiplier by dividing 15÷100=0.15
2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95
Answer:
13.74
Step-by-step explanation:
To determine the tip, take the total amount and multiply by the tip percentage
11.95 * .15
1.7925
Round to the nearest cent
1.79
Add this to the cost of the haircut
11.95+1.79
13.74
I'm having an issue with a perpendicular line equation
Answer:
Step-by-step explanation:
y = [tex]\frac{5}{6}[/tex] x - 12
m = [tex]\frac{5}{6}[/tex]
( - 1, 2 )
y - 2 = [tex]\frac{5}{6}[/tex] ( x - ( - 1 ))
Equation of the ║ line is y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{17}{6}[/tex]
Slope of the perpendicular line is ( - [tex]\frac{6}{5}[/tex] )
y - 2 = - [tex]\frac{6}{5}[/tex] ( x - ( - 1 ))
Equation of the ⊥ line is y = - [tex]\frac{6}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Find the equation of the line passing through the point (-7,2)(−7,2) that is perpendicular to the line 4x - 3y = 104x−3y=10.
Answer:
Step-by-step explanation:
Slope of the given line: m=4/3
Slope of the perpendiclar : m'=-3/4 (the inverse of the opposed of m)
Equation of the perpendiclar line: (passing through (-7,2))
[tex]y-2=(x+7)*\dfrac{-3}{4} \ or\\\\ y=-\dfrac{3x}{4} -\dfrac{13}{4}[/tex]
60°
8
30°
х
Determine the value of x.
Answer:
4 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x / 8
8 sin 60 = x
8 ( sqrt(3)/2) = x
4 sqrt(3) =x
what is the area of triangle JHK?
9514 1404 393
Answer:
4.18 square units
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.
A = 1/2(2.2)(3.8) = 4.18 . . . square units
HELP PLEASE WILL MARK BRAINLIEST
Answer:
C.
Step-by-step explanation:
since x=1 it should be -1 so C. is correct
(a + b + c)(a + b - c)
Answer:
[tex]a^{2} + 2ab + b^{2} - c^{2}[/tex]
Step-by-step explanation:
A B C
A a^2 ab -ac
B ab b^2 -bc
C ac bc -c^2
