Answers
Answer:
[tex]\boxed {\boxed {\sf a= 3, b=7, c=2}}[/tex]
[tex]\boxed {\boxed {\sf Y-intercept = c }}[/tex]
[tex]\boxed {\boxed {\sf Minimum}}[/tex]
Step-by-step explanation:
a. a, b, c
Quadratic equations in standard form are written as:
[tex]f(x)= ax^2+bx+c[/tex]
The exponents are listed from greatest to least. The quadratic is already in this form, so match up the variables and values in the equation.
[tex]f(x)= 3x^2+7x+2[/tex]
[tex]a=3 \\b=7 \\c=2[/tex]
b. Y-intercept
The y-intercept for a quadratic is c.
You can also substitute 0 in for x, because the y-intercept occurs when the quadratic crosses the y-axis (at x=0).
[tex]f(0)= 3(0)^2+7(0)+2[/tex]
[tex]f(0)=3(0)+7(0)+2\\f(0)= 0+0+2\\f(0)=2[/tex]
We know that c=2, so the y-intercept is c.
c. Maximum/minimum
The entire quadratic is positive, so the quadratic opens up and has a minimum.
Related Questions
HELP!! i will vote brainlest answer
Answers
Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
Find the following F distribution values from Table 4 of Appendix B.
Answers
Drag the values to the correct locations on the image. Not all values will be used.
Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is
$98.75 with a standard deviation of $10.45. Susan has a sample size of 60.
Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.
98.75
109.2
88.3
7.75
60
10.45
C
+
r
Answers
Answer:
[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
Step-by-step explanation:
x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.
We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60
Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.
This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
TL;DR
I took the test and the answer was right
The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
where we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).
What is the distribution of sample mean for large samples?Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]
Symbolically, we write it as:
[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]
(for large enough samples, n > 30)
For this case, we're specified that:
Population mean = [tex]\mu = $98.75[/tex] (dollars)Population standard deviation = [tex]\sigma = 10.45[/tex] (dollars)sample size = n = 60Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]
Symbolically, we get:
[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]
Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.
[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]
So, limits are:
[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]
Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
Learn more about empirical rule here:
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Which value of x makes this equation true?
-8(x+5) = -3x - 7+ X-3
A. = 7 1/2
B. X=-5
c. X = 1 1/4
D. X= 12
Answers
Answer:
B: x = -5
Step-by-step explanation:
-8x - 40 = - 2x - 10
-8x + 2x = -10 + 40
-6x = 30
x = 30/-6
x= -5
...........................................................
Answers
Answer:
Top is A bottom is B. ........
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answers
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.
will give the BRAINLIEST pls helpppppp
Answers
Answer:
pretty sure youre right kiddo
6 triangles and 10 squares what is the simplest ratio of triangles to squares?
Answers
Answer:
3:5
Step-by-step explanation:
To find the simplest ratio, divide each number by 2:
6/2
= 3
10/2
= 5
So, the simplest ratio of triangles to squares is 3:5
kennedy has 12 apple. togethe, she and Ariana have 42 apple. which diagram represents best represents the situation where A is the amount of apples that Ariana has?
Answers
Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
Answers
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.
Answers
Answer:
02920
Step-by-step explanation:
92823
WILL GIVE BRAINLST
HAVE A GOOD DAY
Answers
Answer:
6.633249581 and I would say it's irrational
Step-by-step explanation:
:)
would this be a cone??
Answers
no that would NOT be a cone
That would not be a cone.
Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)
Answers
Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
What is the value of the expression 12.25 + (-17.75)?
Answers
Answer:
-5.5
Step-by-step explanation:
Can I have help with this question?
Answers
Answer:
Step-by-step explanation:
<2, <3, <6 have the measure of 135 degrees
Guys please help me out ASAP, Due today. I
In an arithmetic sequence Sn = n² - 2n.
Use your formula in 2c to determine the value of
(a) T7 =
(b) Tn=
The formula in 2c : Sn - Sn-1 =Tn
Answers
Answer:
[tex]T_7 = 11[/tex]
[tex]T_n = 2n- 3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2 -2n[/tex]
[tex]T_n = S_n - S_{n-1}[/tex]
Solving (a): T7
Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_7 = S_7 - S_{7-1}[/tex]
[tex]T_7 = S_7 - S_6[/tex]
Calculate S7 and S6
[tex]S_n = n^2 -2n[/tex]
[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]
[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]
So:
[tex]T_7 = 35 -24[/tex]
[tex]T_7 = 11[/tex]
Solving (b): Tn
[tex]T_n = S_n - S_{n-1}[/tex]
Where [tex]S_n = n^2 -2n[/tex]
Calculate[tex]S_{n-1}[/tex]
We have:
[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]
Open brackets
[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]
[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]
[tex]S_{n-1} = n^2 -4n + 3[/tex]
So:
[tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]
[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]
Collect Like Terms
[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]
[tex]T_n = 2n- 3[/tex]
Can someone help me with these questions and show work please and thank you
Answers
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
25 POINTS!!!!!!!!!!!
I WILL GIVE BRAINLEIST
I need the answers for
15.
16.
17
Answers
16. Genotypes- PP & PP
17. All alleles(all have at least one capital letter)
Carlotta has 2/3 of a bag of dog food. She gives her dog 2/9 of the bag at each feeding. How many times can she feed her dog with what is left in this bag of dog food?
A. 3
B. 4
C. 18
D. 27
Answers
Answer:
27
Step-by-step explanation:
Carlotta can feed 3 times her dog with leftover in this bag of dog food
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Carlotta has 2/3 of a bag of dog food and She gives her dog 2/9 of the bag at each feeding.
The bag of dog food = 2/3
Let she feed her dog with leftover in this bag of dog food = X
Therefore, X = 2/3 × 9/2
X = 18 / 6
X = 3
Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food
Learn more about the unitary method, please visit the link given below;
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Square root of 3
Square root of 36
Square root of 9
Which number is irrational?
Answers
Answer:
Square root of 3
Step-by-step explanation:
Answer:
can you help me with this math am not good enough
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answers
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
Please help I'll give brainliest! And 100 points this is due tonight!!!
Answers
Answer:
You can try searching it up or going to math.way
Step-by-step explanation:
What is the value of a?
Answers
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
Volume of a cone is 48 pi and have a radius of 8 what is the height
Answers
Answer:
Step-by-step explanation:
the answer is in the pic open it
hope it help mark me as a brill please
Is this correct hehevdhegged
Answers
Answer:
b is the correct answer
Step-by-step explanation:
btw can i have brainliest please
find the value of each variable
Answers
please help me please brainliest
Answers
Answer:19
Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.
Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 times as many messages as
Keiko. How many messages did they each send?
Answers
Answer:
Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
Step-by-step explanation:
Let x represent the number of messages that Keiko sent.
Since Dale sent 7 less than Keiko, his number can be represented by x - 7
Since Tony sent 4 times as many as Keiko, his number can be represented by 4x
Using these variables, create an equation:
(x) + (x - 7) + (4x) = 95
Add like terms and solve for x:
6x - 7 = 95
6x = 102
x = 17
So, Keiko sent 17 messages.
Subtract 7 from this to find how many Dale sent:
17 - 7
= 10
Multiply it by 4 to find how many Tony sent:
17(4)
= 68
So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
Christy is painting pinwheels to sell at a fair. It takes her 1.5 hours to paint each pinwheel. How many pinwheels will she be able to paint in 13.5 hours?
Answers
Answer: 9 hours
Step-by-step explanation:
13.5 hours / 1.5 hours = 9 hours