which shows all the critical points for the inequality x^2-9x/x-5<0
Answers
The critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
The critical point is a single value at which the function is not differentiable
The inequality is given as:
(x² - 9 x) / (x - 5) < 0.
Factorize the numerator
x (x - 9) / (x - 5) < 0.
Equate it to 0, we get that:
x (x - 9) = 0 or x - 5 = 0
x = 0 or x - 9 = 0 or x - 5 = 0
So, the critical points will be:
x = 0 or x = 9 or x = 5.
Therefore, the critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
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Related Questions
Question 5 (1 point)
Match the expressions that are equivalent.
Column A
1/32
32
2
1/2
64
1/64
Column B
a. (2^3)(2^2)
b. 2^(-2) x 2^(-3)
C. (2^3) x (2^-3)
d. (2^2)^3
e. 2^2/2^3
f. 2^3/2^2
Answers
It should be noted that the correct matching of the expressions illustrated will be:
a. (2^3)(2^2) = 32
b. 2^(-2) x 2^(-3) = 1/32
C. (2^3) x (2^-3) = 1
d. (2^2)^3 = 64
e. 2^2/2^3 = 1/2
f. 2^3/2^2 = 2
How to illustrate the information?It should be noted that (2^3)(2^2) will be:
= 2³ × 2²
= 8 × 4
= 32
b. 2^(-2) x 2^(-3) will be illustrated as:
= 1/4 × 1/8
= 1/32
C. (2^3) x (2^-3)
= 8 × 1/8
= 1
d. (2^2)^3
= 4³
= 64
e. 2^2/2^3
= 4 / 8
= 1/2
f. 2^3/2^2
= 2³ / 2²
= 8 / 4
= 2
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NO LINKS/FLIES PLEASE .
Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?
A. Variable
B. Income
C. Fixed
D. This would not be an expense.
Answers
A biologist was interested in determining whether sunflower seedlings treated with and an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings that the standard height of 15.7 cm. The biologist treated a random sample of 33 seedlings with the extract and subsequently measured the height of those seedlings. At the 0.01 significance level, is there evidence that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm?
Height
15.5
15.8
15.7
15.1
15.1
15.5
15.2
15.7
15.8
15.4
16.2
15.5
16.2
15.5
15.4
16.3
14.9
15.3
15.1
16.1
15.3
15.4
15.1
15.3
14.6
15.1
15.0
15.3
15.8
15.5
14.8
15.2
14.8
a. State the null and alternative hypotheses.
b. Report the value of the test statistic. Round answer to 2 decimal places. (Either calculate or use software such as minitab)
c. Using the p-value, do you reject the null hypothesis or fail to reject the null hypothesis? Explain your decision.
d. Based on your decision in part (c), write a conclusion within the context of the problem.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 15.7
H1 : μ < 15.7
This is a one sample t test :
Test statistic = (xbar - μ) ÷ (s/√(n))
n = sample size = 33
Using calculator :
The sample mean, xbar = 15.41
The sample standard deviation, s = 0.419
Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))
Test statistic = - 3.976
Using the Pvalue calculator :
Degree of freedom, df = n - 1 ; 33 - 1 = 32
Pvalue(-3.976, 32) = 0.000187
Decison region :
Reject H0 if Pvalue < α
Since Pvalue < α ; we reject H0
There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.
I just need 10 and 11. Pleaseeee. Thank you !
Answers
Answer:
10. x ≈ 15,9
11. x ≈ 17,5
Step-by-step explanation:
10. Use the Pythagorean theorem:
\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)
\(x > 0\)
\(x = \sqrt{253} ≈15.9\)
11.
\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)
\(x > 0\)
\(x = \sqrt{306} ≈17.5\)
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
GIVING BRAINLIST ASAP
A basketball that sold for $65 is marked up to $70.20. What is the percent of the markup?
Answers
i got 8%
Amount of markup:
70.20 −65.00= 5.20
Markup as a percentage of original price
5.20/65.00 x 100 = 8
Solve for y. Take you time
Answers
Answer:
equation ?
Step-by-step explanation:
where is the equation
Which expression is equivalent to (m−2n−4)−4? m8n16 m−8n−16 m−6n−8 1 over the quantity m raised to the sixth power times n raised to the eighth power end quantity
Answers
Answer: C m-6n-8
Step-by-step explanation:
Which expression is equivalent to (m−2n−4)−4?
A m8n16
B m−8n−16
C m−6n−8
D 1 over the quantity m raised to the sixth power times n raised to the eighth power end quantity
(m-2n-4)-4
(2n-4)
(2x-4)
(n-8 )
(m- 4)-4
4+4
m-6
which = C m−6 n−8
Which of the following represents a line with a slope of 4, x-intercept of (2, 0) and a y-intercept of (0, -8)?
Answers
10 minutes! help!
suppose f(x) is given by following graph
Answers
Answer:
this is hard
Step-by-step explanation:
is it trigonometry?
You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?
Answers
Answer:
You paid $8.06
Step-by-step explanation:
3.25 pounds times $2.48 per pound is 8.06.
Can I have brainliest pls :D
Hope this helps
Identify the term that completes the equation. XZ2=(WZ) (?)Please help
Answers
Given triangles, XZW and XZY are right-angle triangles.
Using the Pythagorean theorem for XZW, we get
\(XZ^2+WZ^2=WX^2\)Using the Pythagorean theorem for XZY, we get
\(XZ^2+XY^2=ZY^2\)\(XZ^2=ZY^2-XY^2\)Using the Pythagorean theorem for WXY, we get
\(WX^2+XY^2=WY^2\)\(undefined\)Mr.Martinez asked his students to write a situation that could describe the relationship between all the values of x and y in the table.Whoch situation best describes the relationship between all the values of x and y in the table?
Answers
X goes left and right. Y goes up and down. Hope this help:)
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop?
Answers
Answer:
approximately 28.26 square feet
Step-by-step explanation:
The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.
The area is:
28.27 square feet
Work/explanation:
Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).
We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.
Now, here's a diagram for you;
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)
Plug in the data:
\(\sf{A=\pi\times3^2}\)
\(\sf{A=\pi\times9}\)
\(\sf{A=28.27\:ft^2}\)
Hence, the area is 28.27 square feet.Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
Answers
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).
Answers
Answer:
(c) The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
Step-by-step explanation:
You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).
Inverse functionThe inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...
f(a) = b
then the graph of f(x) contains the ordered pair (a, b).
The inverse function will have the ordered pair (b, a). That is,
f⁻¹(b) = a
ApplicationIf an ordered pair (x-intercept) of the inverse function is ...
(P, 0)
Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.
The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
__
Additional comment
The graphs of the two functions are mirror images of each other across the line y=x.
<95141404393>
In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!!!!!!!!!
Answers
Answer:
Then angles \(\angle B\) and \(\angle C\) both measure \(55^o\)
Step-by-step explanation:
Notice that if sides AB and AC are equal, then the angles opposed to them (that is angle \(\angle C\) and angle \(\angle B\) respectively) have to be equal since equal sides oppose equal angles in a triangle.
So you also know that the addition of the three angles in a triangle must equal \(180^o\), then:
\(\angle A + \angle B+\angle C= 180^o\\70^o+\angle B + \angle B = 180^o\\2\,\angle B = 180^o-70^o\\2 \angle B=110^o\\\angle B=55^o\\\angle C = 55^o\)
Find the percent of change.
From 25 teachers to 30 teachers.
Answers
Answer:
To calculate the percent change of two numbers, such as 25 to 30, you use the Percent Change Formula, where a is the start value and b is the end value.
(b - a)/a × 100
When we insert a = 25 and b = 30 in the formula above, then we get the following that we can simplify and solve to get the percent change from 25 to 30.
(30 - 25)/25 × 100
5/25 × 100
Change = 20%
Step-by-step explanation:
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 10 years. A random sample of 50 cars had an average age of 9.5 years. It is believed that the population standard deviation for the age of cars is 3.4 years. The Department of Transportation would like to set = 0.10. The critical value for this hypothesis test would be ________.
Answers
Answer:
0.1492
Step-by-step explanation:
Mean (m) = 9.5
Standard deviation (sd) = 3.4
Number of observations (n) = 50
Computing the test statistic :
X = 10
Z = (x - m) / standard error
Standard Error = sd/sqrt(n)
Z = (x - m) / (sd/sqrt(n))
Z = (10 - 9.5) / (3.4/sqrt(50))
Z = 0.5 / 0.4808326
Z = 1.0398 = 1.04
Using a P-value calculator, we can obtain the critical value with α = 0.10, hence, the critical value = 0.14917
= 0.1492
Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
Answers
The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
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A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Answers
Middle - cherry
Most likely - grape
solve nm=a+ nb for n
Answers
Answer:
\(n=\frac{a}{m-b}\)
Step-by-step explanation:
So we have the equation:
\(nm=a+nb\)
Let's isolate n. To do so, subtract nb from both sides:
\(nm-nb=a\)
On the left, factor out an n:
\(n(m-b)=a\)
Divide both sides by (m-b):
\(n=\frac{a}{m-b}\)
And we're done!
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x) = x3 − 15x
Answers
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
Friday's temperature was 15° warmer than Tuesday's temperature. Find the temperature
on Friday if the temperature on Tuesday was 69°
Answers
Answer:
the answer is 84 degrees
Step-by-step explanation: add 15 degrees to 69 degrees
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental companies in Boston is taken and the sample mean car rental rate is $47, with a standard deviation of $3. Further, suppose a survey of nine car rental companies in Dallas results in a sample mean of $44 and a standard deviation of $3. Use alpha = 0.05 to test to determine whether the average daily car rental rates in Boston are significantly higher than those in Dallas. Assume car rental rates are normally distributed and the population variances are equal. The null hypothesis for this problem is ______.
a) μ1 - μ2 < 0
b) μ1 - μ2 > 0
c) μ1 - μ2 = 1
d) μ1 - μ2 ≠ 0
e) μ1 - μ2 = 0
Answers
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean daily car rental rates for Boston and μ2 be the mean daily car rental rates for Dallas.
The random variable is μ1 - μ2 = difference in the mean daily car rental rates for Boston and the mean daily car rental rates for Dallas
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 47
μ2 = 44
s1 = 3
s2 = 3
n1 = 8
n2 = 9
t = (47 - 44)/√(3²/8 + 3²/9)
t = 1.41
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [3²/8 + 3²/9]²/[(1/8 - 1)(3²/8)² + (1/9 - 1)(3²/9)²] = 4.515625/0.28571428571
df = 16
We would determine the probability value from the t test calculator. It becomes
p value = 0.09
Since alpha, 0.05 < than the p value, 0.09, then we would fail to reject the null hypothesis.
can anyone please help me solve this
Answers
Answer:
20+n=120
Step-by-step explanation:
Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
Answers
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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For the function y = -1+6 cos (39(x-5) (x-5), what is the minimum value?
Answers
m = 0 , b = - 1+6cos (39)...
Determine which of the values is a solution of 16 <3y + 4.
Answers
Answer:
y > 4
Step-by-step explanation: