Answer:
Domain:
-∞<x<∞, or (-∞,∞) in interval notation
Range:
-∞<f(x)<∞, or (-∞,∞) in interval notation
Step-by-step explanation:
It’s infinite both ways, so:
Domain:
-∞<x<∞, or (-∞,∞) in interval notation
Range:
-∞<f(x)<∞, or (-∞,∞) in interval notation
Solve for x. 6x−24=x−2
Answer:
22/5
Step-by-step explanation:
6x-24=x-2
6x-x=-2+24
5x=22
x=22/5
Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00
Range: {y E RI y <0}
Domain: {r €R! -
Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI-
Domain: {i e RI-00 <
Range: {y € R. y > }
Submit
Answer:
It's all in the picture. good luck :)
Step-by-step explanation:
Domain : R
Range : ( - ∞, 0)
(Refer the image attached for complete question)
We have the following function -
k(x) = [tex]-2^{x}[/tex]
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
k(x) = [tex]-2^{x}[/tex]
for x = 0, the function k(0) = 1
The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.
If we plot the graph of the function k(x), it will look like as shown in the figure attached.
The graph of the function k(x) = [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.
The Domain of the function k(x) : R
The Range of the function k(x) : ( - ∞, 0)
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aneeta bought 3 3/4 kg of apples and 4 1/2 kg guava what is the total weight of fruits purchased by her
Answer: 33/4
Step-by-step explanation:
The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?
Answer:
8 centimeters.
Step-by-step explanation:
[tex]6cm\ on\ map\ -> 15km\\[/tex]
Divide 3 both sides:
[tex]2cm\ on\ map\ -> 5km[/tex]
Multiply 4 on both sides:
[tex]8cm\ on\ map\ -> 20km[/tex]
8cm on the map represents 20km.
The distance of 20 Km on scale is 8 cm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale: 6cm represents 15 Km
1 cm represents 5/2 = 2.5 Km
So, the distance of 20 Km is represented by
= 20/ 2.5
= 8 cm
Hence, the distance on scale is 8 cm.
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if x - 2y = 1 and 2x - y = -4, then x + y = ?
Answer:
x + y = -5
Step-by-step explanation:
x - 2y = 1
2x - y = - 4
then:
x = 1 + 2y
then:
2(1+2y) - y = -4
(2*1 + 2*2y) - y = -4
2 + 4y - y = -4
3y = -4 -2
3y = -6
y = -6/3
y = -2
x = 1 + 2y
x = 1 + 2*-2
x = 1 - 4
x = -3
Check:
x - 2y = 1
-3 -2*-2 = 1
-3 + 4 = 1
Answer:
x + y = -3 -2= -5
A basketball player shoots free throws and makes them with probability 1/7. What is the probability of the event the player will miss three in a row?
Answer:
216/343 or 0.6297 (4dp)
Step-by-step explanation:
Anytime the probability of an event occurs more than once in a particular order (one time after another in the same instance), then the probability is multiplied together. If the probability of him making the shot is 1/7, then the probability of him missing it is 6/7. This is because this is the only other possible outcomes and all outcome probabilities must add to 1 (1-1/7 - 6/7).
So, if he misses it three times in a row then the probability is:
6/7 (probability miss this first time) x 6/7 (probability miss second time) x 6/7 (probability miss 3rd time).
6/7 x 6/7 x 6/7 = 216/343
or 0.6297 (4dp)
Hope this helped!
POSSIBLE POINTS 10
Il Candice can paint a room in 6 hours by herself and Grace can paint the same room in 8 hours by herself, how long will it
take them to paint it together?
Answer: 2 hours
Step-by-step explanation:
If Candice can paint a room in 6 and Grace can paint one in 8 subtract and 6 and get 2 hours
What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The horizontal distance is represented by the 1st number in each coordinate. What is the difference between -7 and 12?
==================================================
Explanation:
Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.
You can use subtraction to get
-7-12 = -19
or
12-(-7) = 12+7 = 19
The final result is made positive since negative distance does not make sense.
So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.
All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.
3. If 7 large pizzas are purchased for a party, the amount of pizza each person can have is
inversely proportional to the number of people who come to the party. If 14 people come to
the party, each person can have 6 slices. How many slices can each person have if 21 people
come to the party.
Answer:
9 slices
Step-by-step explanation:
Set up a proportion:
[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]
Cross multiply and solve for x, the amount of slices if 21 people come:
14x = 126
x = 9
So, each person can have 9 slices
What is the denominator For these problems ?
Answer:
10, 6, 6, 12, 8, 3, respectively
Step-by-step explanation:
The denominator is the bottom number in a fraction.
Point Q lies on AB. What definition, property, or postulate justifies the statement AQ + QB = AB?
Answer:
Segment Addition Postulate.
Step-by-step explanation:
The segment addition postulate justifies the statement:
[tex]AQ+QB=AB[/tex]
To help this make sense, you are namely adding segments on a line in order to achieve a complete line segment.
janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls
Answer:
11000
Step-by-step explanation:
Answer:
11000
Step-by-step explanation:
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find the length of the hypotenuse.
Answer:
sguubztg mp and former president elect of couple of couple have started to download the books and Brave new home in school and Brave people to subscribe our own home
(2/3)to the power of 4=16/81
how to get this answer?
Josh and Karen live 20 miles apart and at exactly 2 pm, both decide to ride their bikes towards each other's houses so that they can meet on the path somewhere in between. Josh rides at an average speed of 15 miles per hour and Karen rides at an average speed of 10 miles per hour. If Josh takes a 10 minute break after he starts to look at some birds while Karen rides the whole time, how many miles from Karen's house will they meet?
Answer:
They will meet at a distance 9 miles from Karen's house.
Step-by-step explanation:
Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]
The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.
Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]
From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means
If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey
Also, Josh rides at an average speed of 15 miles per hour
and Karen rides at an average speed of 10 miles per hour
Now, for Josh
Distance = [tex]S_{1}[/tex]
Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)
Speed= 0.25 mile/min
Time spent = [tex]t - 10[/tex] mins
From
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Distance = 0.25 mile/min × (t-10) min
[tex]S_{1}[/tex] = 0.25(t-10) mile
[tex]S_{1}[/tex] = 0.25t - 2.5
t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)
For Karen,
Distance = [tex]S_{2}[/tex]
Speed = 10 mile/hour (Covert to mile/minute);
Speed= [tex]\frac{1}{6}[/tex] mile/min
Time spent = t
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min
[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile
t = 6[tex]S_{2}[/tex] ......... (2)
Equating equations (1) and (2), we get
([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]
Then,
([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]
Recall that
[tex]S_{1} + S_{2} = 20 miles[/tex]
Then, [tex]S_{1} = 20 - S_{2}[/tex]
∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]
2.5[tex]S_{2}[/tex] = 22.5
[tex]S_{2}[/tex] = 22.5 / 2.5
[tex]S_{2}[/tex] = 9 miles
This means Karen covers a total distance of 9 miles
Hence, they will meet at a distance 9 miles from Karen's house.
need help asap!!! ill maek you brainliest.if anyones good at angles with proofs
Bowlero Lanes charges $4.50
per game of bowling for each
person. They also charge a flat
fee of $2.25 to rent bowling
shoes. If you rented shoes and
spent a total of $20.25, how
many games did you bowl?
O 2.25x + 4,50 - 20.25
O =
2.25x + 20.25 = 4.50
O 4.50x + 2.25 = 20.25
O
4.50x -2.25 = 20.25
Answer:
4.50x + 2.25=20.25
this should be it
Answer:
4.50x+2.25=20.25
Step-by-step explanation:
4.50*4=18+2.25=20.25
M little sister needs help with a geometry problem
Answer:
Segment bisector = KL
IJ = 11⅓
Step-by-step explanation:
Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.
Length of IJ:
From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.
Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓
Segment bisector = KL
IJ = 11⅓
50+30 x12 20 POINTS GUYS YESSSSSSSSSSSSSSSSSSSSSSS
Answer:
960
Step-by-step explanation:
50+30= 80
80x12=960
Answer:960
Step-by-step explanation:
50+30 = 80
80x12=960
Find the slope of the line.
Step-by-step explanation:
_6,_3 I hope this help it like it should (_6,2) (_1,0)
write the ratio 2/7 to 4/5 as a fraction in simplest form
Divide. Write your answer in simplest form.
Please help.
2/3x - 4 = -2
A) -3
B) -4
C) -9
D) 3
Answer:
D) 3carollnx talk me
............ that is the correct options
Answer:
D) 3be confident to answer any questions
Is (4,1) (8,1) (8,2) (12,2) (12,3) (16,4) (20,3) a function, yes or no?!
Answer:
No, it is not a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer:
it not a function
Step-by-step explanation:
Since x = 12 produces y = 2 and y = 3, the relation
(4,1),(8,1),(8,2),(12,2),(12,3),(16,4),(20,3)
is not a function.
The relation is not a function.
Hope this help
A.
Write an expression for the perimeter?
B.
Write an expression for area
C.
Write Both as equations
Answer:
A. x+2+x+2
B. 2(x)
C. x+2+x+2=p
2(x)= a
Find the equation of the line through (10, 4) that is parallel to the line with the equation
y = -1x + 3. Give the equation in standard form.
Answer:
x + y = 14
Step-by-step explanation:
The question asks for the final answer to be an equation in standard form. The standard form of the equation for a line is ...
ax +by = c
where a, b, c are integers with no common factors, and 'a' is positive.
__
When working with parallel and perpendicular lines, standard form is an easy form to work with. The coefficients (a and b) of parallel lines will be the same. All that is different between parallel lines is the value of 'c'.
Given this fact, it is convenient to start by putting the given equation into standard form. For that, we want the x-term on the same side of the equal sign as the y-term.
Adding x to both sides of the given equation puts it in standard form:
x +y = x +(-x) +3
x + y = 3 . . . . . simplified
__
Now that we know our equation will be of the form ...
x + y = (some constant)
we need to find the constant. We can do that by using the given point values for x and y.
For the given point (x, y) = (10, 4), the constant for the parallel line will be ...
x + y = 10 + 4 = 14
x + y = 14 . . . equation of parallel line through (10, 4)
What are the numerical measures of each angle?
Answer:
<1 and <3 equal 29 degrees
<2 ans <4 equal 151 degrees
Step-by-step explanation:
instructions in pic :)
Q
100%
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Answer:
Step-by-step explanation:
it’s B
7 and 4 is the only number that has a unique chance. The correct option is B.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Let's analyze the possible sums of both dice, using the notation:
Dice₁ + Dice₂ = sum.
Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.
I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:
We can have 2 if:
1 + 1 = 2
Only one permutation.
and 12 if:
6 + 6 = 12
Again, only one permutation.
so 2 and 12 have the same chance (1 out of 36)
now, to have 3 we can have the:
2 + 1 = 3
1 + 2 = 3.
and to have 11
5 + 6 = 11
6 + 5 = 11
Again, 3 and 11 have the same probability (2 out of 36 options)
And now we can see a pattern.
4 and 10 will have the same chance.
5 and 9 will have the same chance
6 and 8 will have the same chance
7 is the only number that has a unique chance (and it has the largest one)
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There are 958 students in Central High
School. There are 50 more girls than boys.
How many boys are there?
Answer:
Step-by-step explanation:
958/2=479= half of the students
479-50=429
There are 429 boys
a survey of 800 people who binge-watch were asked how many episodes is too many to watch in one viewing session. the results are displayed in the bar graph. explain how this graph is misleading
Answer:
The graph is misleading because the vertical scale is not even. It goes from 0 to 15 and then thereafter the scale reverts to a scale of 5.
This is misleading because had the graph gone in a scale of 5 from the get go, the number of people who thought 3-4 episodes were too much would have looked higher in the graph as they seem to comprise of about 5% of the sample population.
The scale should begin at 0 and then go like 5 ⇒ 10 ⇒ 15 ⇒ 20 ⇒ 25 ⇒ 30