In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
I will give Brainlyest if u are first
Which situation could be represented by the equation 324 = 8 1x?
A) An athlete swam a total of 32 4 miles. The athlete swam & 1 miles every day. What is x, the number of days the
athlete swam
B) An athlete swam 32.4 miles on Monday, the athlete swam 81 miles and the rest on Tuesday What is the number of
miles the athlete swam on Tuesday
C) An athlete swem 324 miles it took the athlete & 1 minutes to swim each mile What is x the total number of minutes the
athlete swam?
D) An athlete swam 32.4 miles on Friday. The athlete swam 81 miles on Saturday. What is x the total amount of miles the
athlete swam on Friday and Saturday
Answer:
C it does make sense and looks like right answer
Write an equation of the line in slope intercept form that passes through (0,4) and (-3,-8)
Answer:
y=4x+4
Step-by-step explanation:
The equation for the slope-intercept form is y=mx+b. m is the slope and b is the y-intercept. To find the slipe we can use the equation m=y2-y1/x2-x1, next decide which one you want as x1,y1, and which one as x2,y2 (doesn't really matter which one you choose.) I then plugged in my value and got the equation -8-4/-3-0=m=4. so far we have y=4x+b. b is our y-intercept which they already have us, which is 4 so we just have to plug it in and get our answer y=4x+4.
Hope this helps you
I just want to check I I'm right I'm just unsure someone tell me if I'm wrong or right and if I'm wrong please correct me and explain why thank you!!!
A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower
Answer:
[tex]90,000^{3}[/tex] (90,000 cubed)
Step-by-step explanation:
150 x 30 x 20
PLEASE I NEED HELP
Factor out the coefficient of the variable.
The expression 3/8d+3/4 factored is
Answer:
9
Step-by-step explanation:
Find the total surface area of the
following square pyramid:
10 cm
12 cm
SA = [?] cm2
Step-by-step explanation:
Hope this helps, happy learning!!!!
The surface area of the square pyramid will be 240 square centimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the square pyramid will be 12 cm and 10 cm.
Then the surface area of the square pyramid will be
The surface area is four times the area of the triangle.
Surface area = 4 x 1/2 x 12 x 10
Surface area = 2 x 120
Surface area = 240 sqaure cm
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
please help. its on ratio.
Answer:
2/14, 1/7, 3/21, and 18/126
Step-by-step explanation:
Find the slope pls help !!!
Using the similar triangles, which equation could be used to find the slope of line AB?
A)slope=p/q
B)slope=q/p
C)slope=n/m
D)slope=q/n
Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}
[/tex].
✅Therefore, slope of line AB = p/q
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?
Answer:
A) α = 0.04136
B) β = 0.00256
Step-by-step explanation:
We are given;
Sample size; n = 400
Proportion; p = 60% = 0.6
Formula for mean is;
μ = np
μ = 400 × 0.6 = 240
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.6 = 0.4
σ = √(400 × 0.6 × 0.4)
σ = √96
σ = 9.8
A) our null hypothesis is at p = 0.6
Probability of making a type I error means we reject the null hypothesis when it is true.
This can be expressed in reference to the question as;
α = P(x < 220) + P(x > 260) all at p = 0.6
Now,
P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04
Also;
P(x > 260) = z = (260 - 240)/9.8 = 2.04
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.
Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068
Thus;
α = 0.02068 + 0.02068
α = 0.04136
B) Type II error occurs when we fail to reject the null hypothesis even though it's false.
In this case our alternative hypothesis is at p = 48% = 0.48
Thus;
μ = np
μ = 400 × 0.48 = 192
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.48 = 0.52
σ = √(400 × 0.48 × 0.52)
σ = √99.84
σ = 9.992
Type II error would be given by;
β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]
β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]
β = (2.8 < z > 6.81)
Rearranging this gives us;
β = P(z < 6.81) - P(z < 2.8)
From z-distribution tables, we have;
β = 1 - 0.99744
β = 0.00256
In this exercise, we have to calculate the gasoline rates, and the answer will be:
A)[tex]\alpha= 0.04136[/tex]
B)[tex]\beta= 0.00256[/tex]
We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;
[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq}[/tex]
Where:
[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]
[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]
A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:
[tex]\alpha= P(x<220)+P(x>260)[/tex]
Now,
[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:
[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]
Thus;
[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]
B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:
[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]
Type II error would be given by:
[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]
Rearranging this gives us:
[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]
See more about statistics at : brainly.com/question/7412334
solve the equation
1.2²(4a-8)=16
Answer:
I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty
Answer:
Step-by-step explanation:
Can you solve?
|x+5|=12
What is the answer please
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
This table shows a linear relationship.
x 6 7 8 9 10
y 17 19 21 23 25
Based on the information in this table, which equation can be used to model the relationship between x and y?
y = 2x + 5
y = 5x
y = 2x
y = 5x + 2
Answer: I think it's A. But I'm not entirely sure,
Step-by-step explanation:
Answer:
its y=2x + 5
explanation:
I took the test and got it right
What are the solutions to m2 - 9 = 0?
O m = -9 and m = 0
m = -3 and m = 3
оооо
m = -3
O m = 9
Answer:
m = -3 and m = 3
Step-by-step explanation:
[tex] {m}^{2} - 9 = 0 \\ \\ {m}^{2} - {3}^{2} = 0 \\ \\ (m + 3)(m - 3) = 0 \\ \\ m + 3 = 0 \: \: or \: \: m - 3 = 0 \\ \\ m = - 3 \: \: or \: \: m = 3 \\ \\ m = - 3, \: \: 3[/tex]
Answer:
b is correct
Step-by-step explanation:
G
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls in
Mr. Chang's class?
o 28-4-49
0 28 x 7 - 16
017-28 - 11
o 1-28-
Answer:
Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.
Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.
1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answer:
y=2x
Step-by-step explanation:
HELP PLEASE
I need to know a line that goes through (17,1/3) and (25 1/2,1/2) aka the slope
Answer:
0.16/8.5
Step-by-step explanation:
so to get the slope use (Y2-Y1) over (X2-X1)
this means that the formula is
1/2-1/3
---------
25.5- 17
What is the answer to this question
Answer:
C
Step-by-step explanation:
Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.
The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.
Which point represents the fourth bus stop?
A.
(11, 8)
B.
(13, 12)
C.
(15, 10)
D.
(19, 12)
Answer:
Y then X
Step-by-step explanation:
cause I know
Answer: C bc i think
There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?
Answer:
485
Step-by-step explanation:
500/100=5
5*3=15
500-15=485
Hope this helps;)
Answer:
485
Step-by-step explanation:
interior and exterior of angles of triangles
please help !!
Answer:
x = 20
Step-by-step explanation:
Assuming you require the value of x
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 15 is an exterior angle of the triangle, thus
7x - 15 = x + 28 + 4x - 3 , that is
7x - 15 = 5x + 25 ( subtract 5x from both sides )
2x - 15 = 25 ( add 15 to both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Which of the following is the solution of the system of equations shown
Answer:
(3,-4)
Step-by-step explanation:
because the two lines meet at that point.
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
5x+4=2(x+2)
please help me i tried it and i got it wrong I got 2/5
Answer: x= 0
Step-by-step explanation:
5x + 4 = 2(x + 2) First distribute on the right side of the equation
5x + 4 = 2x + 4 Subtract 2x from both sides
-2x -2x
3x + 4 = 4 Subtract 4 from both sides
-4 -4
3x = 0 Divide both side by 3
x = 0
Given that line t and line g are parallel and that m<2=105 and m<15=95 select the angle measure for each angle named.
Answer:
<1 = <9 = <4 = <12 = 75
<2 = <3 = <10 = <11 = 105
<5 = <8 = <13 = <16 = 85
<6 = <7 = <14 = <15 = 95
plsssss
do all of the questions and I give you brainlist .make sure they are right
Answer:
1) 6,000 B) 800 C) 4,000
2)7,500
3)third and fourth one
4)6,951
Step-by-step explanation:
just because
Answer:
1 a. 6043=6000 b. 789=1000 c. 3911=4000
2 7341 is a possible solution
3 350 6000 7900
4 6951
What is the slope of the line that passes through the points (3,5) and (6, 10)?
A. Y= 573
B. Y= -5/3
C. Y= 3/5
D.Y= -3/5
Answer 5/3
Explanation
Slope formula m = y2 - y1 - Rise
x2 - x1 - Run
10 - 5 = 5
6-3 = 3
I know this is correct. I am not sure why this isn't one of the answers.
Help me plzzzzzzz I really need help
Answer:
41
Step-by-step explanation:
y = 4x + 21
y = 4 x 5 + 21
y = 20 + 21
y = 41
Answer:
The answer is 41
y=4x+21
Step-by-step explanation:
y=4x+21
y=4(5)+21
y=20+21
y=41
The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?
PLEASE HELP I WILL GET YOU WHATEVER YOU WANT!!
Answer:
Step-by-step explanation:
20% of 260
Or 52 votes