Answer:
x=1/3y - 2
Step-by-step explanation:
Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
about the graph of the system.
Solve A and B
PLEASE HELP ASAP!!!
Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
[tex]\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0[/tex]
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : [tex]H_0: \mu =0[/tex]
Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =[tex]\alpha = 0.05[/tex]
[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]
Where m = no. of restrictions
k = No. of independent variables
[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
Toby gets 78 votes which is 52 percent how many voted in Tobys grade
Answer:
52% = 0.52
78/0.52 =150
150 students voted
Answer:
150
Step-by-step explanation:
When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes. you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.
What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain
$4.30 makeup; 40% discount
Answer: free makeup
Step-by-step explanation: girl u got it
Answer:
40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58
Step-by-step explanation:
Write the equation 4x + 2y - 6 = 0 in the slope-intercept form (y = mx + b).
Answer:
y= -2x+3
Step-by-step explanation:
First, you want to isolate the variable 2y on its own.
It would look like this: 2y= -4x+6
Then, divide every term by two.
It would look like this: y=-2x+3
Hope it helped.
Answer:
y= -2x+3
Step-by-step explanation:
Find all solutions in the interval [0, 2π).
4 sin^2 x - 4 sin x + 1 = 0
Answer:
[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]
Pls give me a real awnser this is a chart so the question is the pic
Answer:
The answer is in the attachment!
Step-by-step explanation:
Angles of a triangle are in the ratio 2:4:3the smallest angle of the triangle is
Imagine that two researchers, Bill and Ted, independently carry out clinical trials to test the same null hypothesis: H0: COX-2 selective inhibitors (used to treat arthritis) have no effect on the risk of cardiac arrest. They use the same population for their study, but Bill uses a sample size of 60 randomly selected subjects and Ted uses a sample size of 100 randomly selected subjects. Assuming all other aspects of their studies are the same, answer the following:
Required:
a. Whose study has the higher probability of a Type-II error?
b. Whose study has higher power?
c. Whose study has the higher probability of a Type-I error?
d. Should their alternative hypotheses be one-sided or two-sided? Explain
e. Suppose Bill’s analysis results in p-value = 0.03. What should be his conclusion?
Answer:
A) The 60-subject study will have the higher probability of a Type-II error.
B) 100-subject study will have higher power.
C) they will have the same probability of a Type-I error
D) Two tailed because either of the two results would be of interest
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
Step-by-step explanation:
A) A type II error is an error that occurs when we accept the null hypothesis even though it is actually false.
Now, Smaller sample sizes usually would have a lesser chance of rejecting the null hypothesis even though it's false. Thus, the 60-subject study will have the higher probability of a Type-II error.
B) power = 1 - Pr(Type II error)
Since the 60-subject study has a higher probability of type II error it means it will have lesser power. Thus, 100-subject study will have higher power.
C) Type I error is when we incorrectly reject a true null hypothesis.
Pr(Type I error) = significance level
Now, since we are told that other aspects of their study are the same it means their significance levels are the same, it means they will have the same probability of a Type-I error
D) It should be two tailed because either of the two results would be of interest. It's either the drug was associated with more cardiac arrests or less potential treatment option.
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
number 2 please thank you!!
Answer:
the inverse of a function takes the output of the actual function as the input and gives the input of the initial function as the output
here, we are given that when we input 23 in the inverse function of 'f', we get 3
this means that if we input 3 in the initial function, we will get 23 as the output
f(x) = x² - ax + 8
changing the input value to 3
f(3) = (3)² - 3a + 8
changing the output value to 23
23 = 9 - 3a + 8
3a = 17 - 23
3a = -6
a = -2
Solve for x 10x+1=8x+25
Answer:
x=12
Step-by-step explanation:
(10(12)=8(12)+25)=(120+1=96+25)=(121=121)
The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.
Answer:
A.) phase shift is h=6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y= -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x-6))-21
Step-by-step explanation:
Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.
Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n
Answer:
f(n)=2n+4
Is the answer
Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?
Answer:
they are 4 meters apart from each other i think im not so sure
A recipe for salad dressing calls for 3 teaspoons of oil for every 2 tablespoons of vinegar
Answer:
6
Step-by-step explanation:
Answer:
1,1.5 is the answer
Step-by-step explanation:
If the sum of three consecutive numbers is 852, what is the middle one?
it should be 3 and 3 is the the right answer
The required middle number is 284 and the three consecutive numbers would be 283, 284, and 285 respectively.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Let the three consecutive numbers would be x, x + 1, x + 2 respectively
Given that the sum of three consecutive numbers is 852
⇒ x + x + 1 + x + 2 = 852
⇒ 3x + 3 = 852
⇒ 3x = 852 - 3
⇒ 3x = 849
⇒ x = 849/3
⇒ x = 283
So the three consecutive numbers would be 283, 284, and 285 respectively.
Therefore, the required middle number is 284.
Learn more about the number system here:
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I NEED HELP PLS HELP MEEE
The four in the hundred
thousands place is
the
value of the four in the millions
place
4,473,774
Answer:
1/10th of the value of the four in the millions place
might be wrong....
not sure.....
i can't delete my answer though so....
i apologize
joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?
Convert 3 1/2 to a improper fraction:
3 1/2 = 7/2
Divide 7/2 by 1/4:
7/2 ÷ 1/4
7/2 × 4/1
28 / 2
= 14
Joaquin has finished 14 assignments
Answer:
14
Step-by-step explanation:
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number
Answer: the equation would be x-6 = 5(x+2) and x= 0.666666666666667
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
3. Evaluate the expression 18
7+2 - 4
a. 2
b. 1.4
c. 6
d. 18
Can someone please help, ty!!
Answer:
B i think
Step-by-step explanation:
3 square feet divided by 1/7 ft
Answer: 6.4008
Step-by-step explanation:You can use the Calculator EX clap.
A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower
Answer:
$343.45
Step-by-step explanation:
$318.75 x 1.0775 = $343.45
or
$318.75 x 0.0775 = $24.70
$318.75 + $24.70 = $343.45
The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
What is percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have a customer purchased a lawn mower for a total purchase price of $318.75.
Sales tax rate = 7.75%
Sales tax amount = 7.75% of $318.75
Sales tax amount = $24.64 ≈ $24.70
Original price = 318.75 + $24.70 = $343.45
Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
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What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5
Answer:15
Step-by-step explanation:
what is 1325864 in expanded form
Answer:
1,000,000 + 300,000 + 20,000 + 5,000 + 800 + 60 + 4
Step-by-step explanation:
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2 - 5i
-2 + 10i
-2 - 10i
Answer:
The answer is 1, -4, 2+5i, 2-5i
Step-by-step explanation:
Answer:
B,C,E,F
Step-by-step explanation:
Edge 2020
ANSWER TO GET BRAINLIEST!!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.