Answer:
1
Step-by-step explanation:
when finding slope you use the formula
y2-y1 so you do 11 minus 5 which gets
____ you 6, over 13 minus 7 which
x2-x1 also gets you 6! So 6/6=1 which
means the slope should be 1. again im sorry if im wrong but I hope I could help TT
The graph of f(x) = 3x2 – 5x – 22 passes through the point (0, –22) and one of its zeros is (–2, 0). What is the other zero of the function?
Step-by-step explanation:
this is your answer....
The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .
How to find the x-intercept of a quadratic function ?Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]
How to find zeros of the given function ?Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)
Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.
∴ [tex]3x^{2} -5x-22=0[/tex]
Now we have to solve this equation to find it's another zero.
[tex]3x^{2} -5x-22=0[/tex]
⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]
⇒ [tex]3x^{2} -11x+6x-22=0[/tex]
⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]
⇒ [tex](3x-11)(x+2)=0[/tex]
We know that, if multiplication of two terms is zero, then each of this term is seperately zero.
∴ [tex]3x-11=0[/tex] or [tex]x+2=0[/tex]
⇒ [tex]3x=11[/tex] or [tex]x=-2[/tex]
⇒ [tex]x=\frac{11}{3}[/tex] or [tex]x=-2[/tex]
So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].
Learn more about zeros of a quadratic equation here :
https://brainly.com/question/1498156
#SPJ2
Solve the following system of equations x-2y=14
X+3y=9
9514 1404 393
Answer:
(x, y) = (12, -1)
Step-by-step explanation:
I find the simplest solution is often found using a graphing calculator.
(x, y) = (12, -1)
__
We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.
(x +3y) -(x -2y) = (9) -(14)
5y = -5 . . . . simplify
y = -1 . . . . . divide by 5
x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x
x = 12
Jonah has a 3-pound bag of soil todistribute equally between 6 flower pots.How much soil will be in each pot?
3 Divided 6 = 3 or 6 Divided 3 = 2?????????
-
6
Step-by-step explanation:
3 -> 6
? -> 1
? x 6 = 3 x 1
? = 3 / 6 = 1/2 pound bag of soil
1/2 pound soil will be in each bag
You flip a fair coin 32 times. About how many times would you expect heads to appear?
Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.
Step-by-step explanation:
Find the radius of a circle, when the diameter is 29 cm
Answer:
14.5cm
Step-by-step explanation:
radius is half of diameter
29 / 2 = 14.5
Can you help I’m really stuck on this question.?.?.
No links. Pleas
Answer:
We can't see it all that well sorry.
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEE
Answer:
it needs me to type more but answer is
-5,-4
Answer:
S will be at (-5,-4)
Step-by-step explanation:
T is located at (0,-4)
To move to the left, the x coordinate moves.
(0-5, -4)
S will be at (-5,-4)
The perimeters of two squares are in the ratio 2 : 4. The perimeter of
the larger square is 16 centimeters.
What is the perimeter of the smaller square?
Answer:
8
Step-by-step explanation:
2 : 4
8 : 16
Complete the assignment on a separate sheet of paper
Please attach pictures of your work.
Answer:
Value of x = 15.1 unit (Approx.)
Step-by-step explanation:
Given:
For angle 54°
Base of triangle = 11 unit
Perpendicular of triangle = x unit
Find:
Value of x
Computation:
Using trigonometry function;
Tanθ = Perpendicular / Base
Tan 54 = Perpendicular of triangle / Base of triangle
Tan 54 = x / 11
1.376 = x / 11
Value of x = 1.376 × 11
Value of x = 15.136
Value of x = 15.1 unit (Approx.)
Question #6
Show steps
Correct answer is A
We'll first need to determine what the composite function f(g(x)) is equal to.
Start with the outer function f(x). Then replace every copy of x with g(x). Afterward, plug in g(x) = 3x-2
So we get the following:
[tex]f(x) = \sqrt{x^2-4}\\\\f(g(x)) = \sqrt{(g(x))^2-4}\\\\f(g(x)) = \sqrt{(3x-2)^2-4}\\\\f(g(x)) = \sqrt{9x^2-12x+4-4}\\\\f(g(x)) = \sqrt{9x^2-12x}\\\\[/tex]
Next, we apply the derivative
[tex]f(g(x)) = \sqrt{9x^2-12x}\\\\f(g(x)) = (9x^2-12x)^{1/2}\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*\frac{d}{dx}(9x^2-12x)\\\\f'(g(x)) = \frac{1}{2}(9x^2-12x)^{-1/2}*(18x-12)\\\\f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\[/tex]
Don't forget about the chain rule. The chain rule is applied in step 3 of that block of steps shown above.
The last thing we do is plug in x = 3 and simplify.
[tex]f'(g(x)) = \frac{9x-6}{\sqrt{9x^2-12x}}\\\\f'(g(3)) = \frac{9*3-6}{\sqrt{9*3^2-12*3}}\\\\f'(g(3)) = \frac{21}{\sqrt{45}}\\\\f'(g(3)) = \frac{21}{\sqrt{9*5}}\\\\f'(g(3)) = \frac{21}{\sqrt{9}*\sqrt{5}}\\\\f'(g(3)) = \frac{21}{3*\sqrt{5}}\\\\f'(g(3)) = \frac{7}{\sqrt{5}}\\\\[/tex]
Side note: if you choose to rationalize the denominator, then you'll multiply both top and bottom by sqrt(5) to end up with [tex]f'(g(3)) = \frac{7\sqrt{5}}{5}\\\\[/tex]; however, your teacher has chosen not to rationalize the denominator.
first to reply i will give brainliest btw there is no qusetion
Answer: Hii!
Step-by-step explanation:
Can you please help me solve this problem using the Pythagorean theorem I’m so lost!!! (I Will give a brainliest if you help)
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent
Answer:
The average spent at his store is of $37.60.
The average spent at his competitor's store is of $48.53.
Step-by-step explanation:
Average of a data set:
The mean of a data set is the sum of all values divided by the number of values.
His store:
15 orders.
Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50
The average is:
[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]
The average spent at his store is of $37.60.
Store of the competitor:
15 orders
Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69
The average is:
[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]
The average spent at his competitor's store is of $48.53.
Answer:
a) Manager's store: mean = $37.60
Competitor's store: mean = $48.53
b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.
Step-by-step explanation:
used this for my test and it was correct.
I need help with this
Answer:
C. 16 inch 3
Step-by-step explanation:
11 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Answer:
1 There are 20 marbles in a bag. 0/1 . 4 marbles are green. • 7 marbles are red. 5 marbles are white. • 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 니 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content.
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
The answer is $22.75! (A)
Step-by-step explanation:
All you have to do is subtract $36.50 by $13.75 and get the amount of the 2nd piggy bank.
22.75 + 13.75 = 36.50
Helllllllllppppppppppppppppppppppppp
Will Identify the outlier in the data set. 77, 73, 78, 78, 71, 75, 120, 75, 77, 72, 75, 70 The outlier is
Answer:
120
Step-by-step explanation:
120
every other number is in the 70s
Help! Write a recursive for formula
Answer:
cc
Step-by-step explanation:
what is 9-3 3/7? answer pls
Answer:
6.5
Step-by-step explanation:
6.5
Answer:
5 4/7
Step-by-step explanation:
if i read your question right that is the answer
Test the hypothesis that the average content of containers of a particular lubricant is 15 liters if the contents of a random sample of 15 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3 and 9.8 liters. Use a 0.01 level of significance and assume that the distribution of contents is normal.
Also find 95% confidence interval for the population mean. Interpret your results
Answer:
Kindly check explanation
Step-by-step explanation:
Given The samples:
X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8
Using a calculator ;
Sample mean, xbar = 10.27
Sample standard deviation, s = 0.462
H0 : μ = 15
H1 : μ < 15
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(10.27 - 15) / (0.462/sqrt(15))
-4.73 / 0.1192878
= - 39.65
Using the Pvalue form Tscore, calculator, df = 14
Pvalue = 0.000001,
Since, Pvalue < α ; then we reject the Null
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at 95%, df = 14
Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559
Lower boundary :
10.27 - 0.2559 = 10.0141
Upper boundary :
10.27 + 0.2559 = 10.5259
(10.0141 ; 10.5259)
The true population means should reside within the interval
What are the dimensions of this matrix?
2 x 1
2 x 2
1 x 1
1 x 2
Answer:
el primero es 2
el segundo es 4
el trersero es 1
y la última es 2
si multiplicas 2 x 1 y los otros el resultado sería
9
Write and solve the equation that represents the sentence below. The product of 18 and a number is 109.8. Which statements are correct? Check all that apply. It can be solved by using the division property of equality. It can be solved by using the multiplication property of equality. The equation should be StartFraction x Over 18 EndFraction = 109.8. The equation should be 18 x = 109.8. The answer is 6.1. The answer is 1,976.4.
Answer:
the answer is a, d, e
Step-by-step explanation:
the product of 18 and a number is 109.8=
18n=109.8
to find n, you need to divided by 109.8 by 18. You will get 6.1
To check, replace c with 6.1.
18x6.1=109.8
Answer:
ade
Step-by-step explanation:
anyone wanna to study math subject?? as a free coaching??
Step-by-step explanation:
Math is hard.....
and I don't like it anymore
Question
If Johnathon has work 16 hours a day from 8am to 12pm, and he has to drive from point a to b, which the distance is 3600 miles. His car can drive for 700 miles on a full tank of gas, which 1 gallon is 28 miles. What is the amount of stops and gallons of gas to get to point a and b?
Step-by-step explanation:
For which equation is a = 4 not the solution?
9 a = 36
5 a = 54
8 a = 32
Answer:
nAnI
Step-by-step explanation:
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
The sum of the digits of 1 874 (1 + 8 + 7 + 4) is equal to 20. How many natural numbers smaller than 10 000 have a sum of their digits equal to 34?
A. 8
B. 9
C. 12
D. 10
E. 11
ANSWER FAST AND NO FILES
The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.
What numbers have a total sum of their digits equal to 34?Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:
9997 = 349979= 349799 = 347999= 349988= 349898 = 348899 = 348989 = 34What is the total of numbers to get this result?The total numbers is 8.
Learn more about numbers in: https://brainly.com/question/17429689
82.6% into lowest form
Answer:
0.825
Step-by-step explanation:
To convert to lowest form, you have to shift the decimal place 2 places to the left.
tan C-
I need help with this pleases help
Answer:
is 40/41 because is de answerv