Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
Answer A
Step-by-step explanation:
The coefficients of the x terms are 1, 4 and 7. Thus, the discriminant, b^2 - 4ac, is 16 - 4(1)(7) = -12 = -3·4. Because the discriminant is negative we know that there are two unequal, complex roots.
-4 ± i√3√4 -2 ±i√3
The roots are x = --------------------- =
2
This is Answer A.
Related Questions
5 1/8+ 6 1/8 in simplest form
Answers
Answer: The answer is 11 1/4
Step-by-step explanation:
Find the measure of x
Answers
What is the midpoint of the x intercepts of x 4 )( x 4?
Answers
The midpoint of the x-intercepts of f(x) = (x - 4)(x + 4) is (0, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
To learn more about Midpoint :
https://brainly.com/question/5566419
#SPJ4
A frictionless pendulum is pulled 3 feet to one side of its center resting point…
Answers
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We know the moving mechanism of the pendulum can be graphed as a periodic function.
A. If the pendulum is pulled farther away from its resting point it will reach a greater height on both sides this would have an effect of an increase in the amplitude of the sinusoidal curve.
B. If the pendulum is pulled farther away from its resting point the midline of the sinusoidal curve would move up along the y direction as a result of an increase in magnitude.
learn more about periodic functions here :
https://brainly.com/question/29739212
#SPJ1
In the model, a hundreds grid represents 1 whole. Which decimal is represented by the shaded portion of the model?
Answers
The decimal that is represented by the shaded portion of the model is 0.45
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.
We are given In the model, a hundreds grid represents 1 whole.
Since 45 out of the 100 squares are shaded,
This means the fraction would be 45/100
45/100 = 0.45.
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ1
Identify the figure that illustrates "a reflection in line k."
Answers
Answer:
A
Step-by-step explanation:
The figure that illustrates a reflection in line k is figure A.
What is Reflection?A perpendicular bisector is a reflecting line. The perpendicular bisector of all segments connecting the pre-image points to their matching image points forms the reflecting line while a figure is reflecting.
We have a figure.
We have to determine the correct option a reflection in line k.
So, the line k must lie in between the figure and gives the mirror image of each other.
Also, line should be at equal distance from both figure.
Thus, the figure that illustrates a reflection in line k is figure A.
learn more about the reflection here:
brainly.com/question/1908648
#SPJ7
A spinner is divided into 6 equal regions, numbered 10 through 15. An arrow is spun and lands on one of the numbers. What are the odds of the arow landing on a number that is greater than 10?
A.
0.1667
B.
0.333
C.
0.667
D.
0.833
Answers
Answer: Option D (0.833)
Step-by-step explanation:
There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).
Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833
Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56
plz helpp
Answers
Answer:
f(-4) = 56
Step-by-step explanation:
f(x) = 3x² - 2x
To find f(-4), substitute -4 for all the values of x in f(x).
f(-4) = 3(-4)² - 2(-4)
Square -4.
f(-4) = 3(16) - 2(-4)
Multiply 3 and 16.
f(-4) = 48 - 2(-4)
Multiply -2 and -4.
48 + 8
Add.
56
You had the right idea! :)
at a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P\left(\overline{x}>22\right)\approx0.05P(x>22)≈0.05?
Answers
The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.
What is Normal probability distribution?The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.
Central limit theorem
The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation , the z-score of a measure X is given by:
Z = x-μ/σ
Given ,
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
The number of standard deviations is measured by the Z-score. The average is used as the measure.
We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.
1 is subtracted from the p value.
We calculate the likelihood that the measure exceeds X.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
To know more about Normal probability visit:
brainly.com/question/26822684
#SPJ4
which fraction equals - 9/16? mark all that apply.
Answers
Solve the following problems, please
1) G+7 = 4
2) -5a = 10
3) S-9=10
4) F+15=3
5) -8d = -64
6) A/7 = -4 (divided = /)
7)W-5 =7
Answers
Answer:
1. g=-3
2. a=-2
3. s=19
4. f=-12
5.d=8
6.a=-28
7.w=12
Step-by-step explanation:
1) take 4-7 to get -3
2) take 10 divided by -5 to get -2
3) take 10+9 to get 19
4) take 3-15 to get -12
5) take -64 divided by -8 to get 8
6) take -4 times 7 to get -28
7)take 7 plus 5 to get 12
What does he need to get on test number 4 to do that?
Answers
Answer:
86%
Step-by-step explanation:
well we know that his average score is 78 percent. so we need to use 78 with all the tests he took. so 78+78+78 is equal to 234. i tested each number. 234+86 is equal to 320. 320/4 (4 for the number of tests he took) is 80. so he needs a test score of at least 86 percent to raise his average score to 80% he could get a higher score but remember, he is trying to reach 80%
man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip
Answers
Answer:1881 6040mph 18x
What is 84/6..............................
Answers
Answer:
14
Step-by-step explanation:
179÷[618- (241-)]÷12 =
I don't know what I'm doing pls help this urgent
Answers
Answer: 215
Step-by-step explanation:
As a birthday gift, Zoey gave her niece an electronic piggy bank
that displays the total amount of money in the bank as well as the
total number of coins.
After depositing some number of pennies and dimes only, the
display read:
Money: $2.12
Number of coins: 41
Create a system of equations that represents this situation. Then
solve it using the substitution method to find out how many
pennies and dimes Zoey put in the bank.
Answers
A gallon of gas cost $3.50 at the beginning of the month. At the e of the month it cost $3.75. What was the percent change in the price of a gallon of gas?
ty:-;
Answers
Answer:
7.14%
Step-by-step explanation:
Any comparison with the increase or decrease in price has to be compared to the ORIGINAL price. (at the beginning of the month.)
The price increased from $3.50 to $3.75, an increase of $0.25
To find what percent it is use:[tex]\frac{change}{original}[/tex]×100%
[tex]\frac{0.25}{3.50}[/tex]×100%
Answer:
7.1428571% increase
7 1/7 % increase
Step-by-step explanation:
To find the percent increase ( we know this is an increase since the amount went up), take the new amount and subtract the original amount
3.75 - 3.50 = .25
Divide by the original amount
.25 / 3.50
.071428571
Multiply by 100 %
7.1428571%
7 1/7 %
In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year. The equation P = 144(0.86)x will give the value of the stock after any number of years. What is the current share price for GM stock?
Answers
Answer: $5.22 (in the year 2021)
========================================================
Explanation:
The year 2021 is 22 years after 1999 since
2021 - 1999 = 22
That means we'll plug x = 22 into the equation given to us
P = 144*(0.86)^x
P = 144*(0.86)^22
P = 5.21588994768589 which is approximate
P = 5.22 rounding to the nearest cent
The share price is about $5.22 in the year 2021.
This assumes that the 14% decline keeps happening year after year; however, in reality, stocks are more complicated and fluctuate more randomly if anything.
Determine whether each pair of actions results in independent or dependent events.
Pick one marble out of a bag. Then, without replacing the marble, pick another marble.
a. Dependent; the first marble selection will affect the second marble selection.
b. Independent; the first marble selection will not affect the second marble selection.
c. Dependent; the first marble selection will not affect the second marble selection.
d. Independent; the first marble selection will affect the second marble selection.
Answers
Answer h:
Step-by-step explanation:
Answer:
b. Independent; the first marble selection will not affect the second marble selection.
Step-by-step explanation:
We have both independent and dependent occurrences when calculating the probability of events in mathematics.
Independent events occur when the results of the first event's selection have no bearing on the results or outcomes of the second event.
The opposite of independent occurrences are dependent events. They are occurrences in which the results or outcomes of the second events are influenced by the results or outcomes of the first events' selection.
The first incident, according to the question, was when she chose one marble from the bag. The second occurrence is that she replaced the pebble before selecting another. By doing so, the total number of alternative outcomes for both occurrences' probability remains the same.
To know more about the independent and dependent events
https://brainly.com/question/16661450
#SPJ2
3x -y=-2y solve for y pls help me
Answers
Answer:
-x
Step-by-step explanation:
3x - y = -2y
add y to both sides
3x = -3y
divide both sides by -3
-x = y
y^-7/y^-13 Please explain for brainly =DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Answers
4 pounds divided by 8 as a fraction
Answers
Answer:
4 pounds divided by 8 as a fraction
4/8 = 1/2
-TheUnknownScientist
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
so 4 divided by 8 can be represented in fraction for like this:
[tex]\frac{4}{8}[/tex] which can be simplified by multiplying the top and bottom by 4:
[tex]\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}[/tex] and that is the answer
How do you use log and e?
Answers
The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.
Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.
The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.
An exponential function is a function in which a number or data is raised to the power of another number or a variable.
To know more about Log:
brainly.com/question/27037535
#SPJ4
How do you write 6.83 in words?
Answers
Answer:
six point eighty three
Step-by-step explanation:
can someone PLEASE help?? i would really really appreciate it!!!!
Answers
Answer:
j = 8.6 or 8.7
Step-by-step explanation:
tan (60) = j/5
*cross multiply*
j = 5 (tan(60))
j = 8.66
j = 8.7
could someone help me
Answers
Answer:
27
180 - 63 - 90 = 27
hii! please help i’ll give brainliest
Answers
Answer: Shanghai
Step-by-step explanation:
i hope this helps!
GUYS PLEASE HELP ME I WILL GIVE BRAINLIEST, 5 STARS, AND EVERYTHING! THANKS!
Answers
Answer:
3
Step-by-step explanation:
C(n) = 5n, 0 ≤ n ≤ 10 You would use this equation for finding the cost of 10 shirts. Since 10 is equal to 10.
C(n) = 5n, 0 ≤ n ≤ 10 ← You can ignore the 0 ≤n ≤10 part.
C(10) = 5(10) Input the value 10 as x.
C(10) = 50 Simplified
Next,
C(n) = 4n + 5, n > 10 You would use this equation for finding the cost of 12shirts. Since 12 is greater than 10.
C(n) = 4n + 5, n > 10 ← You can ignore the n>10 part.
C(12) = 4(12) + 5, n > 10 Input the value of 12 as x.
C(12) = 48 + 5 Simplify
C(12) = 53
Finally,
The question is asking you to find the difference between the cost of 12 shirts and the cost of 10 shirts. So the formula would be C(12) - C(10).
C(12) - C(10)
(53) - (50) Input the values of C(12) and C(10).
= 3 Simplify.
The answer is 3.
In binomial distribution, the probability is .2, P(x is greater than or equal to 1)>.75, find the least possible value of n
Answers
The approximate shape of the sampling distribution of the sample will be normal.
Option E is correct.
Sampling distribution:
It is a statistic that determines the probability of an event based on data from a small group within a large population.
Given that, is greater than or equal to 15 and is greater than or equal to 15.
and
So that the new mean and standard deviation will be,
Thus, the approximate shape of the sampling distribution of the sample will be normal.
Learn more about the sampling distribution here:
brainly.com/question/12892403
Increase 30g by 80%
Answers
Answer: 54
Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54
Answer:
30 × 80 % = 24
30 + 24
= 54
........