Answer:
f^-1(x) = [ln (x + 4)]/2
Step-by-step explanation:
f(x) = e^(2x) - 4
y = e^(2x) - 4
x = e^(2y) - 4
x + 4 = e^(2y)
ln (x + 4) = ln (e^(2y))
ln (x + 4) = 2y
y = [ln (x + 4)]/2
f^-1(x) = [ln (x + 4)]/2
itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.
All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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I need help please help me
Answer:
3/2
Step-by-step explanation: I hope that it helps
Answer:
He runs 1 1/2 miles per practice.
Explanation:
First, you need to find the slope. This can be done by finding two points on the graph. Then you count the distance between the two y-values, and then the distance between the two x-values. Then you create a fraction with the numerator being the distance of y-values and the denominator the distance of x-values. For example, I chose the points (4,8) and (2,5) The distance between those two is 3/2. This simplifies to 1 1/2. Therefore, the slope of the graph is 1 1/2.
Hope this helped and have a great day,
Ginny
Which number replaces the question mark? 19 11 11 ? 12
Answer:
i think 12
Step-by-step explanation:
Answer:
4 + 3 + 2 = 9
Step-by-step explanation:
You have to add all the numbers in the cube.
These are the following ones.
19 = 4 + 8 + 7
11 = 2 + 8 + 1
11 = 5 + 5 + 1
4 + 3 + 2 = 9
12 = 2 + 7 + 3
What is the formula of(a+b)whole square
Answer:
Step-by-step explanation:
(a+ b) ² = a² + b² + 2ab
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
I need some help please?!?
Answer:
A
Step-by-step explanation:
x = √a/√b
x² = √a²/√b²
x² = a/b
Answer:
Hi there
it should be A.
good
what is 20 as a decimal
Answer:
0.2
Step-by-step explanation:
20/100 as a decimal is 0.2.
Answer:
0.2
Step-by-step explanation:
Hurry please i will give brainly to the first CORRECT answer dont just type anything to get points or brainly…
Answer:
3/8 is the answer hope you do good
Answer:
the answer is [tex]\frac{3}{32} inch^{3}[/tex]
Step-by-step explanation:
hope this helps sorry if it's wrong have a great rest of your day :)❤
Aliyah went to the sandwich shop for lunch. She had a sandwich and a salad. Her total bill for lunch was $9.82. The salad she ordered cost $2.56. Which correctly shows how she determined the cost of her sandwich?
Answer:
9.82 - 2.56 = 7.26 is the equation
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.
2 weeks = 14 day
14 * 15 = 210 seconds
210/60=3 hours and 30 minutes or 3.5 hours.
Please take a look at the picture.
Answer:
A and B
Step-by-step explanation:
a) -x+0+(-x)=0
Combine like terms.
-2x+0=0
Subtract 0 from both sides.
-2x=0
Divide both sides by -2.
x=0
b) -x-(-x)=0
Remove parentheses.
-x+x=0
Combine like terms.
0=0
Hope this helps :)
is the function linear or not
Linear.
[tex] \rm {6x}^{2} = 12[/tex]
[tex] \rm {x}^{2} = 12 \div 6[/tex]
[tex] \rm {x}^{2} = 2[/tex]
[tex] \rm x = \sqrt{2} [/tex]
Pls heeellllppppp me pls no links pls no fake answers and pls answer both questions
Answer:
I think it's True
Step-by-step explanation:
When you multiply a negative and positive, it equals a negative: (-)x(+)=(-)
^-2/5x > -8
Then multiply both sides of the inequality by ^-5/2 and flip the inequality sign
Which gives you:
x < 20
Answer:
Step-by-step explanation:
one would flip the sign on (-2/5)x > -8 because you would be multiplying by a negative number (- 5/2) to get positive x standing alone. It resolves to
x < 20
You would also flip the sign on
-x + ¾ < 10
-x + ¾ - ¾ < 10 - ¾
-x(-1) > 9¼(-1) multiplying by a negative number flips the sign.
x > - 9¼
Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left?
Answer:
5/6 pieces
Step-by-step explanation:
1 4/6 + 1 3/6 = 3 1/6
3 6/6 - 3 1/6 = 5/6
10/6 + 9/6 = 19/6
4/1 = 24/6
24/6 - 19/6 = 5/6
odp.: Zostało mu 5/6 pizzy.
The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3
Answer:
B) 7/10 and 4/5
Step-by-step explanation:
Answer:
B) 7/10 and 4/5.
Step-by-step explanation:
Convert the values to decimals
7/9 = 0.7777...
A) = 0.6 and 0.75 - NO.
B) = 0.7 and 0.8 - YES.
Can someone help me please I will mark u brilliant
Answer:
6.333... is greater
Step-by-step explanation:
6.3 is larger than 6.2
Answer:
6.33333
Step-by-step explanation:
6.29
6.33333
The 3 is greater than the 2.
Hope this helps :)
Hello, can anyone help with this question?
Answer:
C. x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)
Step-by-step explanation:
You are given y = -x² +4x -3.
For quadratic y = ax² +bx +c, the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.
The y-intercept is the constant (c), so is -3. That eliminates choice D.
The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.
The only remaining answer choice is the correct one: choice C.
please help :,) it’s due tomorrow and i’m so confused
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
Solve the system of equations algebraically.
3x−6y=−15
−9x+12y=21
Answer:
(3x-9x)+12y-6y=21-15
-6x+6y=6.
I think that is the answer
Answer:
(3, 4)Step-by-step explanation:
Solve the system by elimination.
Divide the second equation by 3 and add to fist equation:
3x - 6y - 9x/3 + 12y/3 = -15 + 21/33x - 3x - 6y + 4y = -15 + 7-2y = - 8y = -8/-2y = 4Find the value of x:
3x - 6*4 = - 153x - 24 = - 153x = 24 - 153x = 9x = 3In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9
Answer:
B
Step-by-step explanation:
There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle
4 countries could be first
3 countries could be second
2 countries could be 3rd
1 country can be last.
4*3 * 2 * 1 = 24 different ways.
The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo
On moving a distance of 20m towards the foot of the cliff the angle of
elevation increases to 60° .
The situation forms 2 right angle triangle.
The height of the cliff is the opposite side of the 2 triangles formed.
Using trigonometric ratio, the bigger triangle can be represented as
follows:
tan 30 = opposite / adjacent
Let the distance from point Q to the foot of the cliff be d.
Therefore,
tan 30° = 17.3 / d
d = 17.3 / tan 30
d = 17.3 / 0.57735026919
d = 29.9644789709
d ≈ 30 m
Let's find the new angle when he moves 20 m towards the foot of the cliff.
The smaller triangle formed is used to find the new angle.
Therefore,
The new distance from the foot of the cliff (adjacent side) = 30 - 20 = 10 m
tan x° = 17.3 / 10
tan x° = 1.73
x = tan ⁻¹ 1.73
x = 59.9705982385
x ≈ 60°
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I dare you to answer this ,’:)
I’m serious just help me already
9514 1404 393
Explanation:
Put the given value of x into the expression and evaluate it.
x, 10(x +6), y = 10x +60
2, 10(2 +6), y = 10(8) = 80
4, 10(4 +6), y = 10(10) = 100
6, 10(6 +6), y = 10(12) = 120
8, 10(8 +6), y = 10(14) = 140
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
which sets does -8/9 belong to
Answer:
all of the above
Step-by-step explanation:
Can someone help me on this
Answer:
39V3 Sq.units of that will help you
what is 9x7write the answer down
Answer:
63
Step-by-step explanation:
For the given equation, what is the step to clear the fractions and who -- Multiply both sides by 6 to get 2-1 =7 Multiply both sides by 12 to get 2y - 1 = 7 Multiply both sides by 6 to get dy - 1 = 21 Multiply both sides by 18 to get 12y - 3 = 7
Step-by-step explanation:
you should add the equation for one to answer