PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
Answers
Answer:
solution below
Step-by-step explanation:
quadratic formula (note the + before the radical is ±)
[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]
Let's plug in the numbers and simply for the first one
[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]
this simplies to
[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]
Do this same process with all the other ones
Related Questions
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.
Answers
9514 1404 393
Answer:
63.7% or 33.35 miles
Step-by-step explanation:
The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.
The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...
y/38 +x/36 = 1
19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount
Then the distance from the origin to the line is ...
d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243
The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:
x² + (26.1243)² = 31²
x² = 31² -(684/√685)² = 190429/685
x ≈ 16.6733
The driving distance for which the transmitter is picked up is twice this, so is ...
2x = 2(16.6733) ≈ 33.3466 . . . miles
The total drive length is also given by the Pythagorean theorem:
drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles
Then the fraction of the drive during which the signal is picked up is ...
fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%
__
The signal is picked up for 33.35 miles, about 63.7% of the drive.
______
The intercept-form equation for a line is ...
x/(x-intercept) +y/(y-intercept) = 1
The distance from (x, y) to line ax+by+c=0 is given by ...
d = |ax+by+c|/√(a²+b²)
The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:
c² = a² +b²
An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?
Answers
Answer:
a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].
b) The sample proportion is 0.6710.
Step-by-step explanation:
Question a:
An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.
At the null hypothesis, we test if the proportion is two-thirds or less, that is:
[tex]H_0: p \leq \frac{2}{3}[/tex]
At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:
[tex]H_1: p > \frac{2}{3}[/tex]
b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?
359 out of 535 is 359/535 = 0.6710.
The sample proportion is 0.6710.
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answers
Answer:
Step-by-step explanation:
A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
18312.5mm³
Step-by-step explanation:
Given parameters:
Height of cylinder = 18mm
radius = 18mm
Unknown:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
Insert the given parameters and solve;
Volume = 3.14 x 18² x 18
Volume = 18312.5mm³
Answer:
282.6
Step-by-step explanation:
volume= h*(pie*r^2)
3*3=9
9*pie=28.26
10*28.6=282.6
What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4
Answers
Answer:
2x+6=0 x-4=0 2x=-6 x=-3 x=4
Answer:
- 3 and 4
Step-by-step explanation:
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answers
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
How many 3/4 cup servings are in 12 cups of cherries?
Answers
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
Please Help! 100 Points to whoever does!
Answers
Answer:
cross multiply
(3+2) 10^3==
5*10^3
can you help me with this one
Answers
Answer:
q = 3m
Step-by-step explanation:
We know that segment HF is half of IJ, therefore we can say;
IJ / 2 = HF or q
6 / 2 = HF or q
3 = HF or q
Hope this helps!
What is 12n+36m+60= pls answer
Answers
Answer:
you can't do that because they are different variables, so there are no like terms
Step-by-step explanation:
there is no answer for this equation
Answer:
Step-by-step explanation:
12n+36m+60=0
12n+36m=-69
12(n+3m)=-69
n+3m=-69/12
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
A- x=-2
B- y=4
C- y=1
D- x=1
Answers
Answer:
Your correct answer is C. y = 1
Hoped this helped!
briniliest, pls?
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answers
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
1. Points scored by a basketball player are 12, 15, 8, 12, 15, 10, 3, 14, and 15
Calculate the:
a) mean
b) median
c) mode
d) midrange
e) Use the relative location of the mean, median, and mode calculated describe the sets as
symmetric, skewed left, or skewed right.
Answers
Answer:
mean : add all of them and divide by how much they are
mode: is what repeats it self like 15 is the most repeated.
what should be added to -13/25+21/5+-21/18 to get 5?
Answers
ATQ,
= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]
Take the lcm of 25,5,18 and then manipulate it accordingly.= [tex] \dfrac{ 377}{150} + x = 5[/tex]
= [tex] x = 5 - \dfrac{ 377}{150}[/tex]
= [tex] x = \dfrac{ 373}{150}[/tex]
Answer
=727/150
Step-by-step explanation:
-13/25 + 21/18 + 21/18
= -13 + 105/25 + 21/18
= 92/25 + 21/18
= 1656 + 525/450
= 2181/450 = 727/150
Have nice day
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
Answers
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Answers
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
Plz help me well mark brainliest if correct....??????????????...
Answers
Answer:
D). 100
Step-by-step explanation:
The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answers
Answer:
40%
Step-by-step explanation:
The transformation of y=f(x) to y=f(2x) is a:
Answers
Answer:
c) vertical stretch by a factor of 2
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Horizontal stretch by a factor of 1/2.
We can also describe this as a horizontal compression by a factor 2
14. Which makes the number sentence true?
12 - 3= 7+_
Answers
A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?
Answers
Answer:
Yes I would
Step-by-step explanation:
You would not have enough test subjects to have an accurate survey.
25 POINTS NEED HELP QUICKLY:
Choose the system of inequalities that best matches the graph below.
A.
B.
C.
D.
Answers
Answer: D y>2x-1
y<1/3x+1
Step-by-step explanation: I took the test and got it right
The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y>2x-1 and y<1/3x+1.
To determine the solutions, you first have to graph both of the lines in the problem.
y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.
Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Find the sum of the series if n = 6, r = 1/4, a = 2.
Answers
Answer:
8.25
[tex]8\frac{1}{4}[/tex]
Step-by-step explanation:
n + r + a
6 + 0.25 + 2
8 + 0.25
8.25
Does anyone understand this?
Answers
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
??????????????
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams
Answers
Answer:
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
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 90 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 90, \sigma = 2[/tex]
What percentage of the grasshoppers weigh between 86 grams and 94 grams?
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So
X = 94
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94 - 90}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
X = 86
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{86 - 90}{2}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.9772 - 0.0228 = 0.9544
0.9544*100% = 95.44%
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
I need to know this question asap
Answers
Answer:
.
Step-by-step explanation:
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answers
Answer:
si se tirs undado you need to
Anybody Know? It’s just a SOLVE FOR X
Answers
Answer:
Hello! answer: 10
Step-by-step explanation:
x = 10 because...
10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!
please help with this question i will mark you brainliest!
Answers
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.