Answers
9514 1404 393
Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
__
The attached graph of the function confirms that the minimum is located at x=-1/2
_____
Additional comment
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
Related Questions
HI CAN SOMEONE THAT REALLY KNOWS ABOUT THIS HELP ME WITH FINAL EXAM...
The data represented by the following stem-and-leaf plot range from
to
489
5147
6235
769
A. 49; 79
B. 48; 79
C. 48; 76
D. 49; 76
Answers
The minimum value is always at the start of the plot, and the maximum is always at the end.
Records show that 12% of all college students are foreign students who also smoke. It is also known that 40% of all foreign college students smoke. What percent of the students at this university are foreign
Answers
Answer: the percent of the students at this university are foreign = 30%
Step-by-step explanation:
Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12
Probability that foreign college students smoke P(S∩F)=0.4
The probability that the students at this university are foreign :
[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex] [By conditional probability formula]
[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]
Hence, the percent of the students at this university are foreign = 30%
A restaurant charges large parties an amount that depends on the number of people
that are eating. The restaurant charges $650 for 25 people and $1,850 for 80 people.
What is the restaurant charging per person (unit rate)?
Answers
Answer:
$26 per person or $23.125 per person for the bigger group
Step-by-step explanation:
Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)
Answers
Answer:
y - 1 = 5(x - 5)
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, 1)
Slope = ?
From the question, the value of the slope is missing. Hence, let's assume a value of 5.
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 1 = 5(x - 5)
y - 1 = 5x - 25
y = 5x - 25 + 1
y = 5x - 24 = mx + c
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
The area of the parallelogram is 1 m?.
(1) Show that 4x? - 9x + 3 = 0.
Answer (a)(i)
(*) Solve the equation 4x² – 9x + 3 = 0.
Show all your working and give your answers correct to 2 decimal places.
Answers
Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 10 ounces. Use the Empirical Rule.
a. 99.7% of the widget weights lie between _____ and _____.
b. What percentage of the widget weights lie between 26 and 66 ounces?
c. What percentage of the widget weights lie above 34?
Answers
Answer:
The answer is below
Step-by-step explanation:
The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.
z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.
a) 99.7% falls within three standard deviations. Therefore:
99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)
Therefore 99.7% falls within 12 ounce and 72 ounce.
b) For x > 26
[tex]z=\frac{26-42}{10}=-1.6\\[/tex]
For x < 66
[tex]z=\frac{66-42}{10}=2.4\\[/tex]
From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%
c) For x > 34
[tex]z=\frac{34-42}{10}=-0.8\\[/tex]
From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%
Answer:
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 42
standard deviation [tex]\sigma[/tex] = 10
Using Empirical Rule:
[tex]\mu[/tex] - [tex]\sigma[/tex] = 42 - 10 = 32 [tex]\mu[/tex] + [tex]\sigma[/tex] = 42 + 10 = 52
[tex]\mu[/tex] - 2[tex]\sigma[/tex] = 42 - 2(10) = 22 [tex]\mu[/tex] + 2[tex]\sigma[/tex] = 42 + 2(10) = 62
[tex]\mu[/tex] - 3[tex]\sigma[/tex] = 42 - 3(10) = 12 [tex]\mu[/tex] + 3[tex]\sigma[/tex] = 42 + 3(10) = 72
The curve is attached in the image below.
a). the widget of 99.7% lies between 12 and 72
b) 68 + 13.5 = 81.5%
c) 50 + 34 = 84%
What are the rational roots of f(d) = 5d - 6 + d-8?
Answers
6d - 14 = 0
6d = 14
d = 14/6
d = 2 and a third
plz answer if you know it....
Answers
Sales tax is charged on the subtotal (amount before tax).
First, find the subtotal by adding up all of the amounts.
4(675) + 2(110) + 5(41) + 6(135) + 230(2.50)
2700 + 220 + 205 + 810 + 575
Total = 4510
Next, we need to find 7% of 4510. That number is the sales tax.
0.07 x 4510 = 315.70
Sales Tax = $315.70
Total Amount (with tax) = $4825.70
Hope this helps!! :)
Which operation should you perform first in the expression 7x2^3?
Answers
Answer:
Below,
Step-by-step explanation:
The exponent part is done first
7 x 2^3
= 7 * 8
= 56.
You use the acronym PEMDAS:-
( E ( exponential) comes before M (multiply))
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:
Finance Majors Business Analytics Majors
n1 = 140 n2 = 30
x1 = $48,237 x2 = $55,417
s1 = $19,000 s2 = $10,000
Required:
a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b. What is the value of the test statistic?
c. What is the p-value? (Round your answer to four decimal places.)
d. What is your conclusion?
Answers
Answer:
Following are the responses to the given choice:
Step-by-step explanation:
For point a:
[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]
For point b:
[tex]t = -2.953[/tex]
For point c:
[tex]\to p- value = 0.0021[/tex]
For point d:
Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.
Software Solution (SOS) helps subscribers solve software problems. All transactions are made over the telephone. For the year 2018, 10 engineers, most of whom are recent graduates, handled 119,000 calls. The average yearly salary for software engineers was $58,000. Starting in 2019, the firm retained and hired only software engineers with at least 2 years of experience. SOS raised the engineers’ salary to $73,000 per year. In 2019, eight engineers handled 127,000 calls.
Required:
1. Calculate the partial operational productivity ratio for both years.
2. Calculate the partial financial productivity ratio for both years. (Round your answers to 4 decimal places.)
Answers
Answer:
a. 11900, 15875
b. 0.2052, 0.2175
Step-by-step explanation:
number of engineers in 2018 = 10
calls handled in 2018 = 119000
average salary in 2018 = 58000
number of engineers in 2019 = 8
calls handled = 127000
salary = 73000
a.) operational productivity = output/input
in year 2018 = 119000/10= 11900
in year 2019 = 127000/8 = 15875
b.) ratio for both years = output/amount spent
in year 2018 = 119000/10*58000 = 0.2052
in year 2019 = 127000/8*73000 = 0.2175
Which choice describes symmetry?
A. When something is exactly the same on one side as it is on the
other side.
B. When something looks completely different on one side than
the other side.
C. When something has a spherical shape.
Answers
Answer: A. When something is exactly the same on one side as it is on the
other side
Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!
15
Type the correct answer in each box. If necessary, round your answer(s) to the nearest hundredth.
The vertices of ABC are Al-2, 2), B6, 2), and 90, 8). The perimeter of ABC is
units, and its area is
square units.
Answers
9514 1404 393
Answer:
perimeter: 22.81 unitsarea: 24 square unitsStep-by-step explanation:
The lengths of the sides can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10
BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2
The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.
Then the perimeter is ...
P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units
__
The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...
A = 1/2bh
A = 1/2(8)(6) = 24 . . . square units
Question 5
Refer to the data that you recorded in part D. In each row, compare the slope of ABto the slope of the perpendicular line. What is the
relationship between the two slopes? What conclusion can you draw about the relationship between the slopes of any two perpendicular lines?
Ok
Answers
Answer:
Step-by-step explanation:
Answer:
The product of the slopes of and the line perpendicular to through C is -1 in all cases. So, I can conclude that any two perpendicular lines have slopes that are negative reciprocals of each other.
Step-by-step explanation:
its correct
The solution set for -18 < 5x - 3 is _____.
3 > x
3 < x
-3 < x
-3 > x
Answers
Answer:
[tex]-3 < x[/tex]
Step-by-step explanation:
Given
[tex]-18 < 5x-3[/tex]
Required
The solution
[tex]-18 < 5x-3[/tex]
Add 3 to both sides
[tex]3-18 < 5x-3+3[/tex]
[tex]-15 < 5x[/tex]
Divide both sides by 5
[tex]-3 < x[/tex]
The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?
Answers
Answer:
30 plus 70 equals 100
Step-by-step explanation:
it tells the gum explicit equation
Please help! Which interval describes where the graph of the function is positive?
Answers
Answer:
c. -oo < x < -1
Step-by-step explanation:
according to the graph the function possitive
=> y > 0 , and x < -1
x/4 - 3 = -7
what is x equal to?
Answers
Answer:
x=-16
Step-by-step explanation:
x/4-3=-7
x/4=-4
x=-16
Find the zero of the polynomial 2y – 3
Answers
Answer:
The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]
Step-by-step explanation:
Zero of a polynomial:
The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.
Polynomial 2y - 3
The zero is given by:
[tex]2y - 3 = 0[/tex]
[tex]2y = 3[/tex]
[tex]y = \frac{3}{2}[/tex]
The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]
Translate the phrase into an algebraic expression.
3 more than b
Answers
Answer:
b+3 or 3+b
Step-by-step explanation:
Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x
Answers
Step-by-step explanation:
what are the given values of x ?
there is nothing visible.
and what is the function itself ? f(x) = 7x ?
it is not clear.
evaluate g(x)=x/x-3, if g(1/2)
Answers
Answer:
-1/5
Step-by-step explanation:
g(x) = x/(x-3)
Substituting x = 1/2 in g(x),
g(1/2) = 1/2/(1/2-3)
= 1/2/(1/2-6/2)
= 1/2/(-5/2)
= 1/2 ÷ - 5/2
= 1/2 x -2/5
= - 1/5
Step-by-step explanation:
here is your answer
here is your answer
Kevin paid $2.52 for 6 juice boxes. How much should Kevin expect to pay for 18 juice boxes?
Answers
Answer:
7.56
Step-by-step explanation:
Kevin should expect to pay approximately $7.56 for 18 juice boxes based on the given information.
To find out how much Kevin should expect to pay for 18 juice boxes based on the given information, we can set up a proportion using the number of juice boxes and the cost:
In general, an expression refers to a combination of symbols, numbers, variables, and operators that represent a specific computation or value. Expressions are a fundamental concept in mathematics, programming, and logic.
Let "x" be the cost of 18 juice boxes.
We have the proportion:
6 juice boxes / $2.52 = 18 juice boxes / x
To solve for "x," we can cross-multiply:
6x = 18 x $2.52
6x = $45.36
Now, divide both sides by 6 to isolate "x":
x = $45.36 / 6
x ≈ $7.56
Therefore, According to the data provided, Kevin should budget about $7.56 for 18 juice cartons.
To know more about an expression follow
https://brainly.com/question/18650549
#SPJ2
A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENTFOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.
Answers
Answer:tu culo
Step-by-step explanation:
What are the three plot points and is it over the x-axis or y-axis
Answers
Answer:
(-2,1), (0,1), and (2,0). its over the y axis
Step-by-step explanation:
Answer:
shift it 3 values right and 2 units up
Step-by-step explanation:
moving x-axis and moving y-axis
solve for x in the equation 9- x/4=2
Answers
Answer:
9-x/4=2
[tex] \frac{36 - x}{4} = 2[/tex]
[tex]36 - x = 2 \times 4[/tex]
[tex]36 - x = 8[/tex]
[tex] 36 - 8 = x[/tex]
[tex]28 = x[/tex]
[tex]x = 28[/tex]
9 - x/4 = 2
(36 - x)/4 = 2
36 - x = 8
36 - 8 = x
x = 28
I hope you understand...
Mark me as brainliest...
In Problem, p is in dollars and q is the number of units.
(a) Find the elasticity of the demand function
p2 + 2p + q = 49 at p = 6.
(b) How will a price increase affect total revenue?
Answers
Answer:
-14
Explanation:
Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.
Formula for calculating price elasticity is: change in price/change in quantity =dq/dp
Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:
2p+2+dq/dp=0
dq/dp=-2p-2
Given p =6, we substitute:
dq/dp=-2×6-2
dq/dp=-12-2
dq/dp=-14
With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.
What is the reflection across y=x and y=-x. Just the general definition of what it means.
Answers
Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Reflection in the y -axis:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).
It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.
First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).
More information for you..
https://youtu.be/TPU5IyCUGuA
https://youtu.be/JHQtA6R7fYc
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[tex]\color{yellow}{}[/tex]
Simplify -4 + (-3) + 6.
Answers
Answer:3/6 in simplest fraction form is 1/2.
Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out
Examine the geometric relationships in the diagram below which option shows the correct value of x and y?
Answers
Answer:all of them
Step-by-step explanation:
