Use the quadratic formula to solve x2 - 5x - 2 = 0.
O A. x=5+ y23
O B. x=2+2
O C. - x - 25+, VT
O D. x = 5 + 917
Answers
Answer:
A
Step-by-step explanation:
Note: I suppose you typed the question wrong, thus I calculated the question in the picture
[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]
The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The quadratic function is,
⇒ x² - 5x - 2 = 0
Now, We can simplify as;
⇒ x² - 5x - 2 = 0
⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2
⇒ x = (5 ± √33) / 2
Thus, The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
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Related Questions
If a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the final price of a pair of shoes costing $67.50 will be ?
Answers
Answer:
$10
Step-by-step explanation:
In other words, a 25% discount for an item with original price of $40 is equal to $10 Amount Saved Supose Have you received a amazon promotional code of 25 percent of discount.
The final price of the shoe after a series of discounts will be $27.33.
What is a percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the original price is $67.50.
The remaining price will be 60%,75%, and 90% after discounts. Then the final price of the product will be:-
Final price = 67.50 x 0.6 x 0.75 x 0.9
Final price = $27.33
Therefore, the final price of the shoe after a series of discounts will be $27.33.
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If H0 is rejected for an analysis of variance, what can we conclude?
a. We can conclude that all the population means have the same value.
b. We can conclude that at least one of the population proportions has a different value.
c. We can conclude that at least one of the population means has a different value than the other population means.
d. We can conclude that all the population means have different values.
Answers
Answer: We can conclude that at least one of the population means has a different value than the other population means.
Step-by-step explanation:
When the null hypothesis is rejected for an analysis of variance, we can then conclude that at least one of the population proportions has a different value.
For one-way analysis of variance, it should be noted that the null hypothesis is rejected when there is sufficient evidence which is used in making the conclusion that not all the means are equal and that there is a different value.
Your answer in part (b) read "one and one- fourth" is called a mixed number since it has a whole number part and a fraction part. What does the word "and" indicate in the name of this fraction?
Answers
9514 1404 393
Answer:
the end of the whole number and the beginning of the fraction
Step-by-step explanation:
The word "and" means the whole part and the fractional part should be considered together as having a value equal to their sum. It signifies the separation between the whole-number part and the fractional part.
__
It has the same meaning as when used in a decimal mixed number:
1.2 = "one and two tenths"
pls help asap!!
For the following geometric sequence, find the recursive formula.
(-80,20,-5...)
Answers
Answer:
For the geometric sequence, it has two forms of formula
We are interested in the recursive formula now
{-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)
Step-by-step explanation:
For the geometric sequence, it has two forms of formula
{-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)
Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.
Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answers
Complete Question
Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answer:
a. 0.2231
b. 0.1266
c. 0.6591
d. 252 people
Step-by-step explanation:
We solve using the z score formula of
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 183 cm
σ is the population standard deviation = 10.5 cm
a.What is the probability that a Dutch male is shorter than 175 cm?
This is interpreted as when x < 175 cm
Hence:
z = 175 - 183/10.5
z = -0.7619
Probability value from Z-Table:
P(x<175) = 0.22306
Approximately ≈ 0.2231
b.What is the probability that a Dutch male is taller than 195 cm?
This is interpreted as when x > 195 cm
Hence:
z = 195 - 183/10.5
z = 1.14286
Probability value from Z-Table:
P(x<195) = 0.87345
P(x>195) = 1 - P(x<195) = 0.12655
Approximately ≈ 0.1266
c.What is the probability that a Dutch male is between 173 and 193 cm?
For x = 173
z = 173 - 183/10.5
z = -0.95238
Probability value from Z-Table:
P(x = 173) = 0.17045
For x = 193
Hence:
z = 193 - 183/10.5
z = 0.95238
Probability value from Z-Table:
P(x= 193) = 0.82955
Hence, the probability that a Dutch male is between 173 and 193 cm
P(x = 193) - P(x = 173)
0.82955 - 0.17045
= 0.6591
d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
This is interpreted as when x > 190 cm
Hence,
z = 190 - 183/10.5
= 0.66667
Probability value from Z-Table:
P(x<190) = 0.74751
P(x>190) = 1 - P(x<190)
= 0.25249
Therefore, the number of people we would expect to be taller than 190 cm is
Random number of samples × Probability
= 1000 × 0.25249
= 252.49 people
Approximately≈ 252 people
A tree was 14 3/8 inches tall when it was first planted. Two years later, the tree was 21 1/8 inches tall. how much did the tree grow in the two years
Answers
Answer:
In two years, the tree grew 27/4in.
Step-by-step explanation:
21 1/8 - 14 3/8 = 27/4in.
hope it helped :)
mark me brainliest!
pls help i’ll mark brainliest if your right
Answers
Answer:
628 Cubic Yards
Step-by-step explanation:
If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.
Answers
The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.
What exactly does a negative correlation coefficient mean?Two variables with a negative correlation tend to move in opposing directions.
While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.
The complete question is;
"The given statement is true or false
If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."
Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.
Hence, the given assertion is incorrect.
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Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.6-in and a standard deviation of 1.1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.8% or largest 0.8%.1. What is the minimum head breadth that will fit the clientele?
2. What is the maximum head breadth that will fit the clientele?
Answers
Answer:
1. The minimum head breadth that will fit the clientele is of 3.95-in.
2. The maximum head breadth that will fit the clientele is of 9.25-in.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6.6-in and a standard deviation of 1.1-in.
This means that [tex]\mu = 6.6, \sigma = 1.1[/tex]
1. What is the minimum head breadth that will fit the clientele?
The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.41 = \frac{X - 6.6}{1.1}[/tex]
[tex]X - 6.6 = -2.41*1.1[/tex]
[tex]X = 3.95[/tex]
The minimum head breadth that will fit the clientele is of 3.95-in.
2. What is the maximum head breadth that will fit the clientele?
The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.41 = \frac{X - 6.6}{1.1}[/tex]
[tex]X - 6.6 = 2.41*1.1[/tex]
[tex]X = 9.25[/tex]
The maximum head breadth that will fit the clientele is of 9.25-in.
What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz
Answers
Answer:
A) (0, -1)
Step-by-step explanation:
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)
(0, -1)
1. Cheryl Douglas works 43 hours in a week for an exempt salary of $1,827 per week. What are Cheryl's gross weekly earnings?
Answers
Answer:
$1827
Step-by-step explanation:
Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.
Hence, Cheryl's gross weekly earning is $1827 per week.
PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13
Answers
Answer:
D. my answer for your question
El grado absoluto del monomio -7ab^2c^3 es menor que 4
Answers
Using the information in the Box-and-Whisker plot below, what is the minimum value?
A. 5
B. 12.5
C. 20
D. 27.5
Answers
Answer:
espero ayudarte ..............❤❤
Answer:
b
Step-by-step explanation:
YO LISTEN UP I GIVE SOMEONE 50 POINTS IF THEY ANSWER THIS QUESTION. answer it correctly
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answers
Answer:
.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
In a certain region, about 11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.
Answers
Answer:
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]y(t) = y(0)r^t[/tex]
In which [tex]y(0)[/tex] is the initial value and r is the rate of change.
11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year.
This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:
BPP:
[tex]B(t) = B(0)(1 + 0.06)^t[/tex]
[tex]B(t) = B(0)(1.06)^t[/tex]
APP:
[tex]A(t) = A(0)(1 - 0.06)^t[/tex]
[tex]A(t) = A(0)(0.94)^t[/tex]
In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.
This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]
Thus
[tex]B(t) = 2.05(1.06)^t[/tex]
[tex]A(t) = 1.75(0.94)^t[/tex]
Find the predicted number of customers for each provider in 2022.
2022 - 2018 = 4, so we have to find A(4) and B(4).
[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]
[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64.
a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.
Answers
Answer:
bsjsisisos9ss9w9s9s9
i need help with this qnq
Answers
Answer:
The answer is 50km
Step-by-step explanation:
This is because IGH = TUV so IG = TU which is 50 kilometers.
Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide
Answers
Answer: 5,508 m3
Step-by-step explanation: V= 18 x 17 x 18 = 5,508 m3
Answer:5, 508
Step-by-step explanation:
V 18×18×17=5,508
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answers
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
Answers
10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x
Answers
Answer:
C
Step-by-step explanation:
A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y) is incorrect.
D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78. But then you add 1 pencil and 1 notebook and you get some sort of odd term.
E is wrong. It would be right is y and x were interchanged so the x would go with 0.08
That leaves C which is the correct way to write it.
b) 0.00169
(2 mks)
Lower limit =
Upper limit
Answers
Answer:
Top bound = 0.001695
Lower bound = 0.001685
Step-by-step explanation:
The number given is 0.00169
Now, this is in 5 decimal places.
So, the lower bound will be;
0.00169 - 0.000005 = 0.001685
Thus is because rounding 0.001685 will give 0.0169
But for the top bound, we will add 0.000005 to the number;
Thus;
0.00169 + 0.000005 = 0.001695
me ayudan plissssssss
Answers
Answer:
73.74°
Step-by-step explanation:
sin Ф = opposite/hypotenuse
sin Ф = 24/25
[tex]sin^{-1}[/tex] (24/25) = 73.74
Which statement best describes the areas and perimeters of the figures?
Answers
Answer:
The last one!
Step-by-step explanation:
the area of a square is 196m2. What is the length of one side
Answers
Answer:
14
Step-by-step explanation:
Simply take the square root of 196.
Hope that this helps!
Answer:
The side length is 14 m
Step-by-step explanation:
The formula for the area of a square is A = s^2, where s represents the length of one side.
If A = s^2 = 196m^2, we find the side length by taking the square root of both sides:
s = √(196 m^2) = 14 m
The side length is 14 m
Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.
Answers
Answer:
[tex]1.\ Given[/tex]
[tex]2.\ IV \cong VE[/tex]
[tex]3.\ \angle GVI \cong \angle RVE[/tex]
[tex]4.\ ASA\ congruence[/tex]
[tex]5.\ GV \cong VR[/tex]
[tex]6.\ Proved[/tex]
Step-by-step explanation:
Given
See attachment for right question format
Required
Complete the blanks
1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.
So, the reason is Given
2. Midpoint means halfway. So, we can fill the statement column with:
[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE
or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR
3. Vertical angle are congruent. So, the statement is:
[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent
4. We have:
[tex]\triangle GVI \cong \triangle RVE[/tex] because
[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)
[tex]IV \cong VE[/tex] ---- congruent sides (S)
[tex]\angle GIV \cong \angle REV[/tex] --- congruent angles (A)
The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence
5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]
Hence, both sides are congruent ----[tex]GV \cong VR[/tex]
6. The given statement has been prived
What is the solution to the equation 3 + 4/4y = 4?
Answers
Answer:
B. y= ¼
Step-by-step explanation:
3 + ^4√4y = 4
^4√4y =4-3
^4√4y = 1
^4√4y =^4√1
so, 4y = 1
y = ¼
Find HG and HI. Pleaseeee help :/
Answers
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm
Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm
Regards,
ArmyCee:)
Choose___on either side of the line.
Answers
Answer:
__ i dont get this question
Step-by-step explanation: