Answers
[tex]x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a} [/tex]
b =coefficient of x term = -1
a = coefficient of squared term = 4
c = constant term = 9
Using the values in the above formula we get:
[tex]x= \frac{1+- \sqrt{1-4(4)(9)} }{2(4)} \\ \\ x= \frac{1+- \sqrt{-143} }{8} \\ \\ x= \frac{1+-i \sqrt{143} }{8} [/tex]
So, option D gives the correct answers
Related Questions
hey can you please help me posted picture of question
Answers
[tex]x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a} [/tex]
b =coefficient of x term = -3
a = coefficient of squared term = 1
c = constant term = 3
Using the values in the above formula we get:
[tex]x= \frac{3+- \sqrt{9-4(1)(3)} }{2(1)} \\ \\ x= \frac{3+- \sqrt{-3} }{2} \\ \\ x= \frac{3+- \sqrt{3}i }{2} [/tex]
Thus, option A gives the correct solution
A square garden has side lengths of 8 inches. Jackie makes a rectangular garden with the same area as the square garden .which of these could be the dimensions of the rectangular garden. a-10 inches by 6 inches, b7 inches by 9 inches, c 8 inches by 12,d 16 inches by 4 inches.
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When you multiply 16 by 4 you get 64. 8 times 8 is also 64.
what are some types of quadrilaterals
Answers
Such as, square, rectangle, trapezoid, and parallelogram
I hope this helped!
A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?
y = 1x - [?]
Answers
-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18
Thus the equation for the line is y = 1x - 18
Q # 7.Write a congruence statement for the pair of triangles
Answers
Triangle ZYB is congruent with triangle OWR, by SSS
SSS: Side Side Side, because the three sides are given, and they are congruent
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74
Answers
First, we need to get for the "r."r^2 = (−5)^2 + 7^2r^2 = 25 + 49r^2 = 74r = square root of 74
Then, after that, we need to formulate the equation of a sin:sin x = 7 / rsin x = 7 / sqrt(74)sin x = 7 * sqrt (74) / 74
hope this helpsss
Answer:
Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]
Step-by-step explanation:
At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.
As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)
So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]
Here Height of the triangle = 7
and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]
By putting these values in the expression
[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]
Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]
Mrs.Alvarado gets a raise that increases their income to $6,500 a month. Their mortgage stays the same. What percent of their monthly income do they now spend on the mortgage?
Answers
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below. What is the first error she made in computing the variance? Emi failed to find the difference of 89 - 78 correctly. Emi divided by N - 1 instead of N. Emi evaluated (46 - 78)2 as -(32)2. Emi forgot to take the square root of -135.6.
Answers
The first error Emi made was dividing by N - 1 instead of N when computing the population variance.
The first error in computing the variance is Emi divided by N - 1 instead of N. In Emi's calculations for the data set, which includes the numbers 87, 46, 90, 78, and 89, the correct method should be to divide by N, because she is dealing with a population data set, not a sample.
For the population variance, we divide the sum of squared differences from the mean by the total number of data points in the population, which is N. However, Emi incorrectly divided by N - 1, which would only be correct if she were calculating the sample variance to estimate the population variance based on a subset of the population data.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 18 degrees C to Fahrenheit. Round to the nearest degree.
Answers
Answer:
Temperature in celcius scale to the nearest degree = 64
Step-by-step explanation:
Temperature in celcius scale = 18° C
We have the formula
[tex]C=\frac{5}{9}(F-32)[/tex]
Substituting value in celcius scale.
[tex]18=\frac{5}{9}(F-32)\\\\F=64.4^OC[/tex]
Temperature in celcius scale to the nearest degree = 64
Solve by using the quadratic formula. 9x2 + 24x + 32 = 0
Answers
[tex]x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a} [/tex]
b =coefficient of x term = 24
a = coefficient of squared term = 9
c = constant term = 32
Using the values, we get:
[tex]x= \frac{-24+- \sqrt{576-4(9)(32)} }{2(9)} \\ \\ x= \frac{-24+- \sqrt{-576} }{18} \\ \\ x= \frac{-24+-24i}{18} \\ \\ x= \frac{-4+-4i}{3} \\ \\ x= \frac{-4+4i}{3}, x \frac{-4-4i}{2} [/tex]
18 + 24x + 32 = 0
Add together 18 and 32.
50 + 24x = 0
Now move the constant to the right side of the equation and change its sign.
24x = -50
Lastly,, divide both sides of the equation by 24.
x = [tex]- \frac{25}{12} [/tex]
This means that the correct answer to your question is going to be x = [tex]- \frac{25}{12} [/tex] or x = [tex]-2 \frac{1}{12} [/tex] simplified.
Let me know if you have any further questions.
:)
N a test population of 1000 people, 210 display hemophilia. you hypothesize that this trait follows mendelian genetics with a 3:1 ratio of non- hemophilia to hemophilia. use the χ2 test to determine whether the data support the hypothesis or not. show your steps and explain your reasoning.
Answers
The chi-square value can be calculated by the formula:
[tex] \chi^{2} = \frac{(O - E)^{2}}{E}[/tex]
where:
O = observed value = 210
E = expected value = 250
Therefore:
χ² = (210 - 250)² / 250
= 6.4
Now, look at a χ² distribution table, in order to find the p-value. In this case, you have only 1 degree of freedom and the closest χ² is 6.6 which corresponds to a p-value of 0.01.
Since p < 0.05, which is the minimum value generally accepted, we can say that the data do not support the hypothesis.
Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?
Answers
To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )
To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.
Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).
Thus,
g ( x ) maximum value = 8
f ( x ) maximum value = 5
g ( x ) max - f ( x ) max = 8 - 5 = 3
Complete Question:
Functions f(x) and g(x) are described as follows:
f(x) = -4x2 + 5
x g(x)
0 0
1 4
2 8
3 4
4 0
Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).
seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
Answers
" 70 [tex] \frac{32}{100} [/tex] +
2[tex] \frac{1}{10} [/tex] * 2[tex] \frac{7}{10[/tex] − 18a " ;
______________________________________________________
or; write as:
______________________________________________________
" 70.32 + (2.1) * (2.7) − 18a " ;
______________________________________________________
To simplify:
______________________________________________________
Using "PEDMAS" (the "order of operations") ;
the "multiplication" comes first;
So: → "(2.1) * (2.7) = 5.67 " .
And rewrite:
______________________________________________________
" 70.32 + 5.67 − 18a " .
Now: " 70.32 + 5.67 = 75.99 " ;
So, we can the final simplified expression as:
______________________________________________________
" 75.99 − 18a " ;
or; write as: " 75[tex] \frac{99}{100} [/tex] − 18a " .
______________________________________________________
Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place vakue
Answers
Decimal
Ones
Tens
Hundreds
Thousands
Ten-Thousands
The middle 4 in 74,443 is in the hundreds place. The 4 next to the 3 is in the tens place.
The 4 in the tens place is worth 40. 40 * 10 would equal the 400 in the hundreds place.
ANSWER: tens place
Hope this helps! :)
how is this solved? graph and explanation would be helpful
Answers
The solution space will be above the first line (y > ...) and below the second line (y < ...). As a rule, you indicate the solution space by shading the portion of hte plane that satisfies the inequality.* The solution is the portion of the plane that is in both solution regions (that is, doubly-shaded).
_____
* Sometimes, it may actually work better to shade the portion of the plane that does NOT satisfy the inequality. That way, the remaining unshaded area is the solution space. If you do it that way, make sure the graph is clearly marked indicating that is the case. The usual expectation is that the shaded area is the solution, so you don't want to get your answer marked wrong or misinterpreted.
What is the Least common denominator for -3/x -6/8x^2
Answers
The Least Common Denominator is 8x^2 for the fractions as written.
_____
You can reduce the second fraction to -3/(4x^2), which would make the Least Common Denominator be 4x^2.
Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Answers
Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Solution:
Julie studied for 3 [tex]\frac{1}{3}[/tex] hrs in 4 days
Let us first find how many minutes Julie studied in 4 days
In 1 hour, there are 60 minutes
Julie studied for 3 complete hours and one-third of the hour.
So, Number of minutes in 3 hours is 3*60=180hrs
and, Number of minutes in one-third of an hour=[tex]\frac{1}{3} *60[/tex]
=[tex]\frac{60}{3}[/tex]=20minutes
So, time spent by Julie in studying in 4 days is 3[tex]\frac{1}{3}[/tex] hours
or, Julie studied for 180+20 minutes in 4 days
Adding 180 and 20
Julie studied for 200 minutes during the 4 days
To find time she spend studying each day, we must divide total time spent in studies by number of days
Time she spend studying each day= [tex]\frac{200}{4}[/tex] minutes
Dividing 200 by 4, we get
Time she spend studying each day=50 minutes
Answer:
time she spend studying each day=50 minutes
hey can you please help me posted picture of question
Answers
1) F(x) is multiplied by 2.
Multiplying a function by a magnitude greater than 1 results vertical stretch.
So, F(x) is stretched by a factor of 2.
2) 5 is subtracted from the function value.
Subtraction of a number indicates downward shift.
So, G(x) is obtained from F(x) by stretching it vertically by a factor of 2 and shifting down by 5 units
Thus, option D is the correct answer
G(x) = 2x^2 - 5
the graph G(x) is the graph of F(x) stretched vertically by factor of 2 and shifted 5 units down
Answer.
D
The graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down
Jamelia estimates the square root of 72 in the following way: √72=2√36= 2*6=12 Explain why her reasoning is incorrect. Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Answers
√72 = 2√36 = 2 * 6 = 12
The next step is incorrect:
√72 = 2√36
The correct step is:
√72 = √2 * (36).
Let's now calculate √72. We have the following steps:
Step 1:
√72 = √ (2 * (36))
Step 2:
√72 = √ (2 * (6) ^ 2)
Step 3:
√72 = 6√2
Step 4:
√72 = 6 * 1.41
Step 5:
√72 = 8.46
Step 6:
√72 = 8.5
Answer:
√72 = 8.5
find the pair of similar triangles shown . find the length of side h .
Answers
6*h = 21*7
6h = 147
h = 24,5
Julia has 3 hand bags in her closet in how many ways can the bags be arranged
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There are 6 ways the bags can be arranged.
Explanation:The number of ways the bags can be arranged is equal to the number of permutations of the bags. In this case, Julia has 3 handbags in her closet, so we need to find the number of permutations of 3 objects taken from a set of 3. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.
Plugging in the values, we get 3P3 = 3! / (3-3)! = 3! / 0! = 3 x 2 x 1 / 1 = 6.
Therefore, there are 6 ways the bags can be arranged.
The number of ways to arrange 3 handbags is 6.
The arrangement of objects where the order matters is a permutation problem. To find the number of permutations of n distinct objects, one uses the factorial of n, denoted as n!. The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.
In this case, Julia has 3 handbags, so n = 3. We want to find the number of permutations of these 3 handbags, which is given by 3!.
Calculating 3!:
3! = 3 × 2 × 1 = 6
Therefore, there are 6 different ways to arrange the 3 handbags in Julia's closet.
Which describes the difference between the graph of f(x) = 2x3 - 8x + 3 and g(x) = x3 - 4x?
A) The graph of g(x) is obtained by shifting f(x) up 3 units and stretching vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
C) The graph of g(x) is obtained by shifting f(x) right 3 units and compressing vertically by a factor of 2.
D) The graph of f(x) is obtained by shifting g(x) right 3 units and compressing vertically by a factor of 2.
Answers
The graph of f(x)=2x^3-8x+3 is the first one
The graph of g(x)=x^3-4x is the second one
From the two graphs we see that:
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
the graph below shows the amount of snowfall in a 6-hour period
Between which hours did the least amount of snow fall?
Answers
Answer=(4,5)
Step-by-step explanation:
Which description best fits the distribution of the data shown in the histogram?
skewed right
uniform
approximately bell-shaped
skewed left
Histogram with vertical axis ranging from 0 to 14 labeled Frequency. For 0 to 49, the bar height is 2. For 50 to 99, the bar height is 6. For 100 to 149, the bar height is 12. For 150 to 199, the bar height is 5. For 200 to 249, the bar height is 1.
Answers
If the highest bar was on the left, it would be skewed left (and if it was on the right, skewed right). A uniform distribution would more or less have the same height level over all the bars.
Answer with explanation:
The Description about the Histogram is
Vertical Axis = 0-14
Horizontal Axis Bar Height
0-49 2
50-99 6
100-149 12
150-199 5
200-249 1
Plotting the Histogram
→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.
→The curve is not uniform on both sides.
→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.
→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.
Option C: Approximately bell Shaped
Can adjacent angles be supplementary complementary or neither
Answers
Answer:
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent
Step-by-step explanation:
To which sets of numbers does 0.0202002000200002 . . . belong? A. Irrational B.Rational only C.Rational and natural D.Rational and integer
Answers
A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting. energy = kj/photon
Answers
[tex]f=764 kHz = 7.64 \cdot 10^5 Hz[/tex]
The energy of a photon is given by:
[tex]E=hf[/tex]
where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
[tex]E=hf=(6.6 \cdot 10^{-34} Js)(7.64 \cdot 10^5 Hz)=5.04 \cdot 10^{-28} J=5.04 \cdot 10^{-31} kJ[/tex]
John made $20 for 2 hours of work. Sally made $50 for 4 hours of work. How do John and Sally's hourly pay rate compare?
Answers
Answer:
sally makes more
Step-by-step explanation:
john makes 20 per 2 hours
20/2= 10
sally makes 50$ per 4 hours
50/4= 12.5
so Sally makes more
the / is division
A jar of peanut butter and a jar of jam cost $10.20 in total. the jar of peanut butter costs $10.00 more than the jar of jam. how much does the jar of jam cost
Answers
21 ÷ 7 + 20 • 100 • 2 – 3
PLEASE SOLVE
Answers
21 / 7 = 3
20 * 100 * 2 = 4000.
Now for the addition and subtraction. The 3 and - 3 cancel each other out.
3 + 4000 - 3 = 4000
3 + 20 × 100 × 2 - 3
Eliminate the opposites in the expression.
20 × 100 × 2
Multiply 20 by 100.
2000 × 2
Lastly,, multiply the two numbers together to get your final answer.
4000
Let me know if you have any further questions.
:)