Answer:
2
Step-by-step explanation:
The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
y-3=1/2(x-7)
PLS HELP ME OUT GUYS
Answer:
X = -1
Step-by-step explanation:
y - 3 = 1/2 (x - 7)
x would equal -1.
pls help with this
15 points
with calculations also so i understand
Answer:
4200
Step-by-step explanation:
[tex]men = x \\ 360 - 130 = 260 \\ 260 = 2800 \\ 130 = x \\ 2800 \times 130 \div 260 = 1400 \\ total = 1400 + 2800 \\ = 4200[/tex]
9514 1404 393
Answer:
10080
Step-by-step explanation:
The angle occupied by Women voters is ...
360° -130° = 230°
Then the angle difference between the two sections is ...
Women voters - Men voters = 230° -130° = 100°
The number of voters is proportional to the angle they occupy on the pie chart. That means ...
(difference in voters) / (total voters) = (difference angle) / (total angle)
2800 / (total voters) = 100° / 360°
Cross multiplying gives ...
360° × 2800 = 100° × (total voters)
Dividing by 100° gives ...
total voters = (360/100)×2800 = 10080
The total number of voters in the election is 10080.
Let g(x)=Intragal from 0 to x f(t) dt, where r is the function whos graph is shown.
Picture attached with question and graphs. As well as points needed
If
[tex]\displaystyle g(x) = \int_0^x f(t) \, dt[/tex]
then g(x) gives the signed area under f(x) over a given interval starting at 0.
In particular,
[tex]\displaystyle g(0) = \int_0^0 f(t) \, dt = 0[/tex]
since the integral of any function over a single point is zero;
[tex]\displaystyle g(4) = \int_0^4 f(t) \, dt = 8[/tex]
since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;
[tex]\displaystyle g(8) = \int_0^8 f(t) \, dt = 0[/tex]
since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;
[tex]\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8[/tex]
since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;
[tex]\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0[/tex]
since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;
[tex]\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24[/tex]
since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;
[tex]\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64[/tex]
since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.
On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate
Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{66 - 62}{0.7071}[/tex]
[tex]Z = 5.66[/tex]
[tex]Z = 5.66[/tex] has a p-value of 1.
1 - 1 = 0.
There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
A similar problem is given at https://brainly.com/question/24663213
Find the general solution of the given differential equation x2 y’ -2xy = x4 + 3
[tex] \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r[/tex]
Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)
The general admission tickets sold are 1467 and the number of reserved seats tickets sold is 358.
Two equations would be derived from the question:
$2.50a + $5b = $3667.50 equation 1
a + b = 1109 equation 2
Where:
a - number of people for the general admission
b = number of people for the reserved seats
To determine the value of b, take the following steps:
Multiply equation 2 by 2.5
2.5a + 2.5b = 2772.50 equation 3
Subtract equation 3 from 2
2.5b = 895
Divide both sides by 2.5
b = 358
In order to determine the value of a, substitute for b in equation 2
358 + a = 1109
a = 1109 - 358 = 1467
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Which table could be a partial set of values for a linear function?
(Had to repost cuz of spamming)
The circumference of a circular garden is 72.22 feet. What is the radius of the garden?
Answer:
36.11 feet
Step-by-step explanation:
If the circumfrence goes across the circle, and the radius goed halfway, substitute the measuremants. C/2. So, divide 72.22 by 2 and you get 36.11 feet!
Which algebraic expression is equivalent to this expression?
6(22 - 12) + 63
Help me please!!
The numerical value of this algebraic expression is 123
Step-by-step explanation:To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.
Resolution:[tex]\large \sf =6(22 - 12) + 63[/tex]
[tex]\large \sf =6(10) + 63[/tex]
[tex]\large \sf =60 + 63[/tex]
[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]
Therefore, we can conclude that the numeric value of this expression will be 123
There are 1,000 students in Sharon's high school. 65% of the students are taking Spanish. How many students are taking Spanish?
Answer:
650 students are spanish.
Step-by-step explanation:
just say 1,000 people = 100%
then 650 students would = 65%
Hope I helped
Andrew invests $9000
What are you asking?
Please help me on my homework
i dont know what the next sequence is
The next term of the sequence is 9
The terms of the sequence are given as:
64, 49, 36, 25, 16,...
When the above sequence is analyzed, we can see that:
Each term of the sequence is a perfect square
So, the sequence can be rewritten as:
8^2, 7^2, 6^2, 5^2, 4^2, ....
The next term would be 3^2.
The square of 3 is 9
i.e. 3^2 = 9
Hence, the next term of the sequence is 9
Read more about sequence at:
https://brainly.com/question/7882626
Complete the equivalent fraction.2/1= /18
Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]
[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]
[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]
[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]
[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]
[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]
[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]
[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]
[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]HELP PLS
Answer:
with what 0-0 are youy okay?
Step-by-step explanation:
will mark as brain list plzzz help no links
Answer:
Step-by-step explanation:
the answer is 10
Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
The speeds are 74 mph and 87 mph.
Step-by-step explanation:
Let x = speed of slower train
x + 13 = speed of faster train
The trains meet when the sum of the distances = 483
3x + 3(x+13) = 483
6x + 39 = 483
6x = 444
x = 74 mph
The speeds are 74 mph and 87 mph.
2. Jones has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. If after 4 hours, he had 9 pages of notes completed, at what rate did he complete the
note pages during those 4 hours?
O 2.25 pages per hour
O 2 pages per hour
O 2.5 pages per hour
0 4 pages per hour
Answer:
2.25
Step-by-step explanation:
if you did 4ph you would get 16 so no. if you did 2ph you would get 8 so no. if you did 2.5ph you would get 8.20 so no but if you did 2.25ph you would get 9 c:
Answer:
A) 2.25 pages per hourStep-by-step explanation:
Let the average rate is x.
We have:
1 + 4*2 = 4xSolve for x:
4x = 9 x = 9/4x = 2.25Correct choice is A
Can anyone please help me?? Please?
Look at the given table of values and write the ordered pairs that represent the inverse of the function.
tính cỡ mẫu cho một nghiên cứu điều tra xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung bình một đơn thuốc của nghiên cứu thử là 1,03. Nếu như người điều tra tin tưởng 95% rằng kết quả nghiên cứu của mình chỉ sai lệch so với quần thể là 10%
Answer:
xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung
Step-by-step explanation:
I'll give brainiest whoever answers first
aight slide it here big boy
Which of the following statements describes a positive correlation?
The more I study the lower my test scores
The greater the cost, the better the merchandise
Walnut is more dense than pine
none of the other alternatives are correct
Answer:
The greater the cost, the better the merchandise
Step-by-step explanation:
It’s giving a positive correlation.
Divide $5100 in the ratio 4:3
how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother
Answer:
Step-by-step explanation:
a
consider the line y= -4/7x+2
Answer:
y=(7/4)x + 12, y=(-4/7)x -46/7
Step-by-step explanation:
first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12
parallel:
since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7
ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?
Answer:
The answer is 7 she Can Buy 7 packages of cookies.
Step-by-step explanation:
1. 15-5.50=9.50
2.9.50-7.75=1.75
3. 1.75-0.25*7=0
She wouldn't have any money left over to buy it
Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.
Answer:
3.33
Step-by-step explanation:
3.33
mixed number= 3 1/3
Answer:
3 1/3
Step-by-step explanation:
[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =
[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]
10/3 = 3 1/3
-Chetan K
x divide3=8 solve equation for x
Answer:
x = 24
Step-by-step explanation:
x ÷ 3 = 8
you multiply both sides by three
so it cancels out 3 and 8 × 3 = 24
so your answer is 24
hope this helps
- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?
Answer: Definitely point A
Step-by-step explanation: