The y-intercept of the linear function y = 3x - 2 is -2
How to determine the y-intercept?The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
https://brainly.com/question/14180189
#SPJ1
Troy and Lisa were shopping for school supplies. Troy bought 3 notebooks and 5 thumb drives for $20.25. Lisa bought 8 notebooks and 8 thumb drives for $38. Find the cost of each notebook and the cost of each thumb drive.
Answer:
Step-by-step explanation:
3n + 5d = 20.25
24n + 40d = 162
8n + 8d = 38
-24n - 24d = -114
24n + 40d = 162
-24n - 24d = -114
—————————
16d = 48
d = 3
A drive costs $3
3n + 5(3) = 20.25
n = 1.76
A notebook costs $1.75
PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?
Answer: kimi is 22
Step-by-step explanation:
Answer:
Kimi is 11 years old
Step-by-step explanation:
We can read 'twice Kimi's age' as Kimi's age times 2 and
'14 years younger' as minus 14.
Our equation is
2(Kimi's age)-14= Marcus' age
Since Marcus is 8:
2(Kimi's age)-14= 8
Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.
First we add 14 to both sides
2(Kimi's age)-14(+14)= 8(+14)
2(Kimi's age)= 22
Then we divide by 2
2(Kimi's age)/2= 22/2
Kimi's age=11
Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.
A + 1.05 = 3.7 plz help
Answer:
a=2.65
You just bring over the 1.05 to the 3.7, and just go on from there!
Hope this helps!
How to do this problem? Thank you!
Guys I suck at this stuff so can someone Just PLEASE HELP ME
Answer:
I only
Step-by-step explanation:
The others have irrational & unsolvable numbers!
Hope that helps!
Help
Please ..................
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?
Answer:
Step-by-step explanation:
V = πr²h
1014π = πr²·6
r² = 1014/6 = 169
r = 13 cm
The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?
Can anyone help me thank you
Answer:
tu debes de saber las respuestas por qué tú estás como en onceavo
An economist conducts a nationwide survey to study the financial perceptions of US adults. Specifically, he asks a random sample of 1,000 US adults: “Financially, are you doing OK or are you struggling to get by?” The results of the survey show that 829 of the 1,000 participants said they are doing OK.
(a) Construct a 95% confidence interval for the proportion of US adults who would say they are doing OK.
(b) Shortly thereafter, a similar study is conducted in Mexico with the intention of constructing a 95% confidence interval for the proportion of Mexican adults who would say they are doing OK. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.01?
Answer:
a) (0.806, 0.852)
b)Margin of error ≤ 0.01
1.96*√{0.5*(1–0.5)/n} ≤ 0.01
√n ≥ 98
n ≥ 9604
• Smallest sample size = 9604
Step-by-step explanation:
I found this on Chegg
You have a data set with a Gas Price variable. It lists the price of a gallon of regular gasoline at a randomly selected 100 gas stations around the country in a particular week. You calculate a 95% confidence interval for the mean of Gas Price, and it turns out to be $2.43 plus or minus $0.16. Which of the following most closely reflects what you can conclude? a. If your sample size had been 400, and you had observed the same sample mean but a sample standard deviation twice as large as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. c. If you had observed the same sample mean and sample size, but a sample standard deviation twice as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.24. d. If you had observed the same sample mean and sample size, but a sample standard deviation half as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.04.
Answer:
b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample mean plus minus the margin of error.
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.
In this question, we have that:
95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.
Option A:
Sample size of 400, which is four times the original, while the standard deviation is twice the original.
This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.
Option B:
Sample size of 400, which is four times the original, while the rest is the same.
The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.
Option C:
In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.
Option D:
In this case, the margin of error will be halved, since the standard deviation is half the original. So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.
Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|
Step-by-step explanation:
a. 4×|-8| = 4×8 =32
b. 2×3+4×7= 6+28 = 34
c. 8×2-6 = 10
d. 5×4+2×6 = 32
Seven times a certain number plus the number is equal to 88. Find the number.
Answer:
11
Step-by-step explanation:
11 * 7= 77
77 + 11= 88
A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
For simplicity’s assume;
D = number of dogs cages, C = number of cats cages,
R = number of rabbits cages.
Since, The dogs and the cats cages are the same number,
We can say, C = D.
Only one fourth as many cages for rabbits,
So, we can formulate,
R = 1/4D
Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.
2D + 1/4D = 36
Combine like terms and get the same denominator;
9/4D = 36
9D = 144
D = 16
So,
Number of dogs cages = 16
Number of cats cages = 16
And, Number of rabbits cages = 36 - (16 + 16)
= 36 - 32
= 4
Thus,
Number of dogs cages = 16
Number of cats cages = 16
Number of rabbits cages = 4
Learn more about the mathematical expression visit:
https://brainly.com/question/28374179
#SPJ5
A. X = -6 and X = -5.5
B. x = -0.5 and x = -5
C. X = 0 and x = 5
D. X = 5 and x = 6
Answer:
Step-by-step explanation:
The roots are the x-intercepts, 5 and 6.
I need help so please be nice and help me hurry cause I have to turn this in!!
Answer:
16 easy
Step-by-step explanation:
3629 you can use the digits twice make the largest four digit number
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure
best answer gets brainliest
Which of the following is most likely the next step in the series?
Answer:
I need more info to answer this question.
Step-by-step explanation:
what is 893 :9 in long division
Simplify the expression below.
12a−8−5a+12
Step-by-step explanation:
Given
12a - 8 - 5a + 12
= 7a + 4
Hope it will help :)
Answer:
7a + 4
Step-by-step explanation:
First, let's rewrite this expression to combine like terms:
12a – 8 – 5a + 12 — I bolded the constants and underlined the expressions with variables
12a – 5a – 8 + 12 — it looks a little easier regrouped, doesn't it?
The last two terms are easy, right?
12 – 8 = 4 — simplify with subtraction
We'll focus on the first two terms now. Let's rewrite the terms with variables attached to make the subtraction easier:
a(12 – 5) = a(7) = 7a
We could also think of it this way: multiplication is just repeated addition.
12a = a + a + a + a + a + a + a + a + a + a + a + a (we just add a to itself 12 times)
5a = a + a + a + a + a (we just add a to itself 5 times)
Subtracting this expression would then look like this:
a + a + a + a + a + a + a + a + a + a + a + a – (a + a + a + a + a)
a + a + a + a + a + a + a + a + a + a + a + a – a – a – a – a – a
Five of the a values will cancel out, and to show this, we can rewrite the expression once more, like this:
a – a + a – a + a – a + a – a + a – a + a + a + a + a + a + a + a
The five a values cancel out and leave us with this:
a + a + a + a + a + a + a
How many a values are added together now? Seven of them, right? We add a to itself 7 times. We can then rewrite that expression as 7a.
Using the [12 – 8 = 4] expression from above, we add the 4 to the 7a to find our final answer: 7a + 4
I hope this helps increase your understanding of the concept! Have a great day!
23:
-
Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3
a. X-intercept is (3,0)
CH
x-intercept is 0.-
y-intercept is 0,-
y-intercept is (3,0)
b.
d. x-intercept is (3, 0)
x-intercept is
0
y-intercept is
10
y-intercept is (0,3)
Please select the best answer from the choices provided
А
ОВ
Answer:
[tex](-\frac{3}{7}, 0)[/tex] -- x intercept
[tex](0,3)[/tex] -- y intercept
Step-by-step explanation:
Given
[tex]y = 7x + 3[/tex]
Required
Determine the x and y intercept
For x intercept.
Set [tex]y = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]0 = 7x + 3[/tex]
Collect Like Terms
[tex]7x = -3[/tex]
Make x the subject
[tex]x = -\frac{3}{7}[/tex]
Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]
For the y intercept;
Set [tex]x = 0[/tex]
So, we have:
[tex]y = 7x + 3[/tex]
[tex]y = 7*0 + 3[/tex]
[tex]y = 0 + 3[/tex]
[tex]y = 3[/tex]
Hence, the y intercept is: [tex](0,3)[/tex]
AnswerB
Step-by-step explanation:
help asap, i will mark brainliest!
Answer:
150m
Step-by-step explanation:
[tex]Length=120-(-30)=120+30=150m[/tex]
Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?
Answer:
pesaria 2.25 kilos
explicacion
Five higschool friends all happen to be female born in 2003 assuming that the survival of each ine is independent what is the proablity that at least one lives to be 100 year old
Answer:
15%
Step-by-step explanation:
I need help on this. Can someone pls help me
Answer:
2
2
3x
Step-by-step explanation:
1.) we can divide both sides by three to get
(3x+6)/3=x+?
x+2= x+?
from here we can tell that ?=2
2.) Let's start by dividing both sides by negative one
(x-2)/ -1= ?-x
simplify
-x+2= ?-x
Here we get ?= 2
3.)
Let's mulitply both sides by 5 to get
15x-10= 5(?-2)
15x-10 = 5?-10
15x= 5?
3x= ?
the answer here is 3x
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?
a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5
Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Step-by-step explanation:
Let p represent the proportion of all households in the city that gave a charitable donation in the past year.
Reseracher wants to check whether p > 50% or p > 0.5
Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.
So Null hypothesis: [tex]H_o: p=0.5[/tex]
Alternative hypothesis: [tex]H_a:p>0.5[/tex]
The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?
Answer:
10 months
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
a. Solve for x in the
diagram
Answer: 15 i think
Step-by-step explanation:
Answer:
as their is no labeling so it's hard to answer
55+55=110
180-110=70
vertical angles
so x=70
2x +5y = -7
7x + y = -8
Solve by substitution SHOW WORK!
Answer:
x = 1, y = -15
Step-by-step explanation:
7x + y = -8 ⇒ y = -7x-8
2x + 5y = -7
substitute -7x-8 for y:
2x + 5(-7x-8) = -7
2x - 35x - 40 = -7
-33x - 40 = -7
-33x = -33
x = 1
y = -7x-8 = -15
1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (0.98) ^ x represents the value, y of one account that was left inactive for a period of x years .
a. What was the initial amount of money that was left in this savings account?
b. What is the percent of change each year in this savings account?
Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In this question, we have:
[tex]y = 5000*(0.98)^x[/tex]
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.