The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is x equals three-halves. What is the value of b? −18 −9 9 18
Answers
Answer:
b = -9
Step-by-step explanation:
If we have a function with the form:
\(f(x)=ax^2+bx+c\)
The axis of symmetry is equal to:
\(x = \frac{-b}{2a}\)
So, for the function \(f(x)=3x^2+bx+4\), the value of a is 3 and the value of c is 4. It means that its axis of symmetry is equal to:
\(x=\frac{-b}{2(3)}=\frac{-b}{6}\)
Solving for b, we get that: \(b=-6x\)
Additionally, the axis of symmetry is \(x=3/2\), so replacing x by 3/2, we get that b is equal to:
\(b=-6(3/2)\\b=-9\)
Answer:
b= -9
Step-by-step explanation:
I just took the quiz and got it right.
Related Questions
Jada drew a net for a polyhedron and calculated its surface area.
What polyhedron can be assembled from this net?
Jada made some mistakes in her area calculation. What were the mistakes?
Find the surface area of the polyhedron. Show your reasoning.
Answers
Answer:
1) A triangular prism can be made from this net.
2) The area of the triangles is not 12 cm², it is 6 cm². The mistake was forgetting to divide it by two because the formula of a triangle is bxh/2. All they did was multiply the base and height.
From the above calculation, it is identified as an area of the triangle that is calculated wrongly.
Given that, Jada drew a net for a polyhedron and calculated its surface area.
Jada made some mistakes in her area calculation. We need to identify Jada's mistakes.
What is a polyhedron's surface area?The surface area of a polyhedron is equal to the sum of the area of all of its faces. Said another way, the surface area is the total area covered by the net of a polyhedron.
Here, the area of the triangle with a base 4 cm and a height 3 cm.
That is, the area of a triangle=1/2 × Base × Height
=1/2 × 4 × 3
=6 sq cm
The area of a rectangle with a length 5 cm and a width 4 cm
The area of a rectangle = Length × width
=5 × 4 =20 sq cm
The area of a rectangle with a length 4 cm and a width 3 cm
=4 × 3 =12 sq cm
The area of a square with the side 4 cm.
The area of a square = side²=4²=16 sq cm
The total surface of the given polyhedron =6 + 6 + 20 + 12 + 16
=60 sq cm
From the above calculation, it is identified as an area of the triangle that is calculated wrongly.
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which pair of numbers has a lcm of 12
1 and 6
2 and 3
2 and 6
3 and 4
Answers
Answer:
3 and 4
and
2 and 6
Step-by-step explanation:
3×4=12
2×6=12
Answer:
3 and 4
2 and 6
Step-by-step explanation:
The table shows the number of goals made by two hockey players.
Player A Player B
2, 3, 1, 3, 2, 2, 1, 3, 6 1, 4, 5, 1, 2, 4, 5, 5, 11
PLS HELP! AND FAST.
Find the best measure of variability for the data and determine which player was more consistent.
Player B is the most consistent, with an IQR of 3.5.
Player B is the most consistent, with a range of 10.
Player A is the most consistent, with an IQR of 1.5.
Player A is the most consistent, with a range of 5.
Answers
Answer: Player B is the most consistent, with an IQR of 3.5.
Step-by-step explanation:
For Player A, the IQR is 2 (Q3 - Q1 = 3 - 1 = 2).
For Player B, the IQR is 3.5 (Q3 - Q1 = 5 - 1.5 = 3.5).
Therefore, Player B is more consistent, as their IQR is larger, indicating less variability in their scores.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Find the slope and y-intercept of the data.
slope:
y-intercept:
Answers
Answer:
yes
Step-by-step explanation:
Answer:
GOOGEL
Step-by-step explanation:
............................................................
Please help me with this yall
Answers
I tried plotting it to make it readable but copy it off I put down the letters for you.
Step-by-step explanation:
Distance from A-B = 4
Distance from B-C = 3
C-D = 4
D-E = 9
E-F = 8
F-A = 6 total = perimeter = 34 units
Here is the drawn-in figure from Ameliahunt42:
Pablo has 20 balloons for his party. He will either take 2 for a stack or 3 for a stack. How many more stacks will Pablo need if he takes 3 on each stack?
Answers
Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference? (10 points)
Group of answer choices
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
Yes, because there is a lot of variability in the art book data
No, because there is a lot of variability in the art book data
Answers
Answer:
No, because the mean is larger in the art book
Step-by-step explanation:
give me brainliest plz because i answered
50 points mathamatics PLEASE ANSWER ASAP DUE TOMMOROW
Answers
Answer:
87
Step-by-step explanation:
Ganesh is making a scale model of the Space Needle in Seattle, Washington. The Space Needle is 605 feet tall. If the model is the actual size of the Space Needle, how tall is the model?
Show all your thinking.
Answers
Answer:
6.05 feet
Step-by-step explanation:
Hopefully this helps!!
i need help please
thank you
Answers
Answer:
8
Step-by-step explanation:
It is 8
divide 68 by 8 1/2 which would be 8.5
find the vaule of (7y+8)°
(8y+7)°
Answers
(Combining the equation)
15y+15
(This is if your multiplying the equation)
56y^2+113y+56
Hope this helps
If these expressions represent angles in a geometric figure, such as a triangle or a quadrilateral, then the values of y could be determined by applying the relevant geometric rules and solving the resulting equations.
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6100 and his stock in Company B was worth $6480. The stock in Company A has decreased 2% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Investment in Company A by investor = $6100
Investment in Company B by investor = $6480
The decrease in value of the stock of company A is 2%
The decrease in value of the stock of company B is 10%
Value of wealth that investor lost in company A = 6100× 2/100
= 61×2
= $122
The decline in the value of the stock of company B = 6480×10/100
= 648×1/1
= $648
The total decline in the wealth of the investor= 122+648
= $770
The combined wealth of investor in both companies= 6100+6480
= $12580
Percentage of decline in the stock account of investor= 770×100/12580
= 77000/12580
= 6.1%
The total percentage decline in investor's stock account is 6.1%
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Use the distributive property to find the equivalent expression.
4(3 + 10y)
Answers
Answer:
12+40y
Step-by-step explanation:
Answer:
12+40y
Step-by-step explanation:
Given: 4(3 + 10y)
1: (12+40y)
2: 12 + 40y
1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
I have 5-7 done and I've included a picture of my graph down below I just really need number 1 and 2 at the moment but any question answered through 1 and 4 would we very appreciated :) thank you very much :D
Answers
Answer:
I-
Step-by-step explanation:
Which point is a solution to the system of linear equations? y = −x + 1 3x − y = 3
Answers
Answer:
x=1
y=0
Step-by-step explanation:
have a good day
X=1
Y=0
pls show work and also you will get 100 points 4 this
Answers
Answer: Alligators
Step-by-step explanation: This entire paper is just about combining like terms.
I won't go too in depth about it since it's self-explanatory, but I'll explain it just a bit. Like terms are two terms that have the same variable. For example, 19 and 24 are like terms since they are both numbers. 15x and 18x are like terms since they are both the same variables. 2y and 5y are like terms since they are both the same variables. However, 3x and 4y are NOT like terms, they do not have the same variable.
Also, variables that have different exponential powers are also not like terms. For example, 5x^2 and 7x are not like terms as one is squares and one is to the 1st power. Similarly, 3x^3 is not the same variable as 2x^4.
When you have 5x and -2x, you subtract 5x and 2x. Thus, the combination would be 3x. When you have -4x - 2x, you would get -6x, and if you have -4x + 2x, you would get -2x.
What you were supposed to do is simplify the equations by combining like terms, and then crossing off the letters that correspond to what you have left in the expression. The remaining letters should spell out a joke.
Attached below I have provided the correct answer.
Hope this helped.
Answer:
1. 3x+5x+14x = 22x
2. 4x+7+11x = 15x+7
3. 10x+8-3x = 7x+8
4. 6x-5+x-11 = 7x-5-11 = 7x-16
5. -8x +19 + 2 - 2x = -10x+19+2 = -10x+21
6. -x+23+4x-34-x = 2x+23-34 = 2x-11
7. 105+27x-68-19x-27+x = 9x+105-68-27 = 9x+10
8. 7x+16-3x+3-2x-2x = 0x+19 = 19
9. -18 + 6 -4x+ 10 - 11x + 2 = -15x
10. 16+4x-12x-28-6x+17+x-1 = -13x +4
i fell so dumnm for asking all these questions.
Which function has a y-value of 12, if the x-value is 3?
y = 4 x
y = x - 6
y = x + 8
y = 3 x
Answers
Replace x with 3 and solve for y to equal 12:
y = 4(3) = 12
the answer is y = 4x
Answer:4x
Step-by-step explanation:
What are all the Subsets?
Answers
How many 90∘ angles does it take to make a full turn?
I'll mark you brainiest if you do this corrctly
Answers
Answer: 4
Step-by-step explanation: a full turn is 360 and 360/9 equals 4
Write the opposite of each number:
47 = __
-33 = __
243 = __
-907 = __
88 = __
Answers
Answer: -47, 33, -243, 907, -88
The opposite is simply the opposite sign. For instance the opposite of -1 would be positive 1, whereas the opposite of 1 would be -1.
Answer:
74
33
342
Step-by-step explanation:
-47,33,-243,907,-88
IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST THE TOPIC IS EXPLAIN INFERENCE
1. Jeremiah went to six different bakeries around his town and sampled one cupcake from each place regardless of how many different flavors they offered. Of the six cupcakes he sampled, he liked all of them.
Inference: Jeremiah will like most of the cupcakes from the six bakeries around his town.
Defend or challenge the inference with at least two complete sentences.
Answers
Answer: Defend
Step-by-step explanation: For one he said he liked all the cupcakes in the bottom sentence stating already that he liked all of them. Second he said he sampled one from each bakery regardless of the flavors stating if you thought about it you would know that he didn't care what flavor the cupcakes were he knew that they were going to be good either way.
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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Please help simplify this
\(\frac{\sqrt{16} }{\sqrt{8} }\)
Answers
![Please help simplify this[tex]\frac{\sqrt{16} }{\sqrt{8} }[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/Sm0h0avUxpI5DpBjDAjvAyzFoisi6UlM.png)
In decimal form 1.41421356
Out of 22 players in a team, 10 of them have an average height of 1.50m while another 10 have an average height of 1.48m. The remaining players had an average height of 1.60m. What is the mean height of the team ?
Answers
Answer:
1.5 meters
Step-by-step explanation:
We know that the sum of all of the data in a set = average * number of data.
Therefore, the sum of the first 10 is 1.5 * 10 = 15 meters, the sum of the second 10 is 1.48 * 10 = 14.8 meters and the sum of the last 2 is 1.6 * 2 = 3.2 meters for a total of 15 + 14.8 + 3.2 = 33 meters. This means that the mean is 33 / 22 = 1.5 meters.
Answer:
Hey there!
We have the average is: \(\frac{10(1.5)+10(1.48)+2(1.6)}{22}\)
This can be simplified to: 33/22, or 1.5
Thus, the mean height on the team is 1.5 m.
Hope this helps :)
SOMEONE PLEASE HELPP NO WRONG ANSWERS PLEASE!!!!!!!!!
Answers
Answer: 9
Step-by-step explanation:
Probability: 9/12
Yellow: 9
Total: 12
(9/12)*12=9
You know the height of a chair and the distance of the leg from the other chair, but you don’t know the length from the chair leg to the other leg you need to replace. What is the length of the leg? .Does this make seanse for project option 1 in 03.02
Answers
Answer:
a
Step-by-step explanation:
please answer i need a good grade
Answers
Answer:
X < -20
Step-by-step explanation:
You mix 23.385 grams of sugar and 12.873 grams of baking soda in a glass container for an experiment. You place the container on a scale to find that the total mass is 104.2 grams. What is the mass of the container
Answers
104.2-36.258=67.942
Answer=67.942
The mass of the container is 67.942 grams.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that amount of sugar is 23.385 grams, the amount of soda is 12.873 and the total mass is 104.2 grams.
The weight of the container will be calculated as below:-
Total weight of sugar and sods = 23.385+12.873=36.258
Weight of container = 104.2-36.258=67.942
Weight of container = 67.942 grams
Therefore, the mass of the container is 67.942 grams.
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Identify all of the quadratic functions
Answers
Answer:
y=(x-2)^2 +4
y=1/4 x^2 +x-1
Look at the shapes in the example. Write the name of the shapes that belong in each group shown in the table below. parallel sides, only perpendicular sides only, parallel and perpendicular sides
Answers
Step-by-step explanation:
1. A triangle has perpendicular sides only.
2. A rectangle has only parallel sides.
3. A parallelogram has only parallel sides.
4. A trapezoid has both parallel and perpendicular sides.
5. A right triangle has only perpendicular sides.