Answer:
The quadratic has a minimum value.
The minimum value is at (3, 2).
Step-by-step explanation:
We are given the quadratic function:
[tex]f(x)=3x^2-18x+29[/tex]
First, since the leading coefficient is positive, this quadratic function will be concave up.
Hence, we will have a minimum value.
The minimum or maximum value is the vertex of the quadratic. The vertex is given by:
[tex]\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = 3, b = -18, and c = 29. Thus, the x-coordinate of the vertex is:
[tex]\displaystyle x=-\frac{-18}{2(3)}=\frac{18}{6}=3[/tex]
And the minimum value is:
[tex]f(3)=3(3)^2-18(3)+29=2[/tex]
13 1/3 of a number is 30. find the number
A. 225
B. 223
C. 456
D. 552
Answer:
a
Step-by-step explanation:
1/3 is one third and times by 30
Simplify:
3(9 + 2d) + 4d
Answer:
27 + 10d
Step-by-step explanation:
Answer:
10d+27
Step-by-step explanation:
Rearrange terms
3
(
9
+
2
)
+
4
3
(
2
+
9
)
+
4
2
Distribute
3
(
2
+
9
)
+
4
6
+
2
7
+
4
3
Combine like terms
6
+
2
7
+
4
1
0
+
2
7
help!! ________________
Answer:
NNNNNNNNNNNOOOOOOOOOOOOOOOOO i won't help you
Step-by-step explanation:
PLEASE HELP!! ill give you 20 points
Step-by-step explanation:
Jim gives the cashier a $20 bill at the pharmacy.
Write an equation that relates the change c he gets back in dollars to the cost b, in dollars, of his purchases. Which variable represents the independent variable? How much change does he get back if his purchases total $12.83?
Answer:
b= 12.83
c= 7.17
Variable "c" is independent because it does not change. Jim receives $7.17 back.
8. Which fraction is equivalent to 3? *
O 3/2
O 6/2
O 6/3
O 912
Answer:
6/2
Step-by-step explanation:
6 divided by 2 =3
Answer:
I will be 6/3
Step-by-step explanation:
If you divide the 6/3 it will be 3/1
Make sure to divide it by 3
Intercepts: independent practice Write the ordered pair describing the coordinates of each intercept. 1. X-intercept: -6 2. Y-intercept: -2.3 3. Y-intercept: 3/4
Answer:
[tex](-6, 0)[/tex]
[tex](0, -2.3)[/tex]
[tex](0,\frac{3}{4})[/tex]
Step-by-step explanation:
Solving (1). x-intercept: -6
At x intercept, [tex]y= 0[/tex]
So, the ordered pair is: [tex](-6, 0)[/tex]
Solving (2): y-intercept: -2.3
At y intercept, [tex]x = 0[/tex]
So, the ordered pair is: [tex](0, -2.3)[/tex]
Solving (3): y-intercept: 3/4
At y intercept, [tex]x = 0[/tex]
So, the ordered pair is: [tex](0,\frac{3}{4})[/tex]
What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
B. 48 feet
C. 68 feet
D. 73 feet
Answer:72.25
Step-by-step explanation:
Two opposite numbers are 4 units away from each other. What are the numbers?
Answer: 2 & -2
Step-by-step explanation: it takes 2 units to get to 0 and then 2 more to get to -2
Algebra help!
If you can also explain that would be appreciated!! If not that's totally okay I just really need the help!!
Answer:
We have the value as;
8x/5
Step-by-step explanation:
Here, we want to get the breakdown of the given expression
We have (x^2 - 9) as (x-3)(x + 3)
So we have;
2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)
= 2x * 4/5= 8x/5
The bill for dinner totaled $56 before tax and tip. The restaurant added a 6 percent sales tax. If Sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?
$59.36
$64.96
$68.32
$68.86
Solve for x if -10x + 67 = 17
A) x=4
B) x= -50
C) x=5
D) x=10
Answer:
x=5
Step-by-step explanation:
First off, you need to subtract 67 from 17 to get the variable alone.
That will leave you with -10x=-50
Then you need to divide -10 and -50,
Two negatives make a positive so
x=5
Answer is C
The center of a circle is (0, -8). The radius is 9. What is the equation of the circle? Select all that apply.
A. x2 + (y + 8)2 = 3
B. x2 + (y + 8)2 = 9
C. x2 + (y + 8)2 = 81
D. x2 + y2 + 16y = 17
E. x2 + y2 + 16y = -55
Answer:
x² + (y + 8)² = 81
Step-by-step explanation:
Centre (h,k) = (0,-8)
radius (r) = 9
(x - h)² + (y - k)² = r²
(x - 0)² + (y + 8)² = 9²
x² + (y + 8)² = 81
Can someone help me!!! Which of the following tables represent(s) an exponential function? List
all correct answers.
a.
X| 0, 1, 2, 3
Y| 0, 0, 0, 0
b.
X| 0, 1, 2, 3
Y| 1, 1, 1, 1
c.
X| 0, 1, 2, 3
Y| 2, 4, 8
d.
X|0, 1, 2, 3
Y|1, -1, 1, -1
y
e.
X| 0, 1, 2, 3
y |1, 2, 3, 4
Answer:
C
Step-by-step explanation:
exponential functions multiply
Pls help due soon Will ad brainilist
Answer:
I apologise, my device only allows me to see the first screenshot.
A: The general trend is an increase through the graph.
B: The median of the data is 5.
C. The mean of the data is 4.7
D. The median would not be affected, but the mean would increase.
Step-by-step explanation:
Anyone know how to solve this? Im losing brain cells
Answer and Step-by-step explanation:
The answer is A.
y = x + 2 and y = -2x + 4
This is because:
- The graph going from left to right matches the first equation, in which the graph has a slope of 1 and has a y-intercept at (0, 2).
- The graph going from right to left matches the second equation, in which the graph has a slope of -2 (Since it is going from right to left), and has a y-intercept at (0, 4).
#teamtrees #PAW (Plant And Water)
Need answers asap please help! :)
10 points PLEASE HELP
Answer:
170
Step-by-step explanation:
If you look at the other angle it says 20 and a whole circle would be 360 so subtract 360-130 then after that since the angle takes 2 part or however you may say that means u subtract 60 (20+20+20 thee open angle) this means you get 170 (i think im unsure but you can try)
Someone plz help me giving brainliest
Step-by-step explanation:
you will have 100% * 60 = X * 80 so X = 100% * 60/ 80
Answer:
75
Step-by-step explanation:
The answer is attached. I hope you are able to understand and it helps you. If you have doubt you can ask, I will repost the answer with proper explanation.
Charlie buys a new Bey Blade for $11.38. He gives the cashier $15.00. How much change will he get back? Select TWO ways he will get change.
Answer:
3.62
Step-by-step explanation:
Cash or store credit
Answer:3.62
Step-by-step explanation:
Find the area. Answer ASAP pls pls
Answer:
57.4
Step-by-step explanation:
A researcher takes a random sample of 2,496 drivers and finds that 1,603 put their phone in "drive mode” to not be distracted while driving. A 90% confidence interval for the proportion of drivers who use "drive mode” on their phones is (0.626, 0.658). Which statement correctly interprets the interval? The researcher can be 90% confident that 64% of all drivers will use “drive mode” while driving. There is a 90% probability that the proportion of drivers who use “drive mode” lies between 0.626 and 0.658. The researcher can be 90% confident that the interval from 0.626 to 0.658 captures the true proportion of all drivers who use “drive mode.” If this procedure is repeated many, many times, the true proportion of drivers who use “drive mode” will be captured 90% of the time.
Answer:
The researcher can be 90% confident that the interval from 0.626 to 0.658 captures the true proportion of all drivers who use “drive mode.”
Step-by-step explanation:
edge2021
How many faces does the following shape have?
Answer:
6 faces. pls mark brainliest
The floor of a cargo truck is 22 1/2 square feet. What is the volume of the storage space in cubic feet if the truck is 7 1/5 feet high? Show, label, and explain your work.
Answer:
162 ft^3
Step-by-step explanation:
volume = area of base * height
V = 22 1/2 ft^2 * 7 1/5 ft
Change the mixed numerals into fractions.
V = 45/2 ft^2 * 36/5 ft
Multiply the fractions.
V = 45/2 * 36/5 ft^3
Switch the denominators.
V = 45/5 * 36/2 ft^3
Simplify each fraction.
V = 9 * 18 ft^3
V = 162 ft^3
write an equation of the line that passes through the point (0,3) and whose slope is 2
Answer:
y - 2x = 3
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:
y - 3 = 2(x - 0), or
y - 3 = 2x, or
y - 2x = 3
Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b: it is 3.
work out the circumference of a cirlce with a diameter of 1.8m
Answer:
5.56 m
Step-by-step explanation:
Circumference = 2πr
r is the radius, however the diameter is given. The radius is half the diameter. So the radius is:
1.8 ÷ 2 = 0.9
Circumference = 2 × π × 0.9
= 5.56 m ( in 3 significant figures )
PLZ HELP To multiply (7x+3)(7x−3),
you can use the pattern:
(a+b)(a−b)=a2−b2.
What are the values of a and b?
Enter your answers in the boxes below.
a=
b=
Answers:
a = 7xb = 3==========================================================
Explanation:
Match up (7x+3)(7x-3) with (a+b)(a-b)
We have
(7x+3) pair up with (a+b)(7x-3) pair up with (a-b)We can see that a = 7x and b = 3
Furthermore, we can say,
(a+b)(a-b) = a^2 - b^2
(7x+3)(7x-3) = (7x)^2 - (3)^2
(7x+3)(7x-3) = 49x^2 - 9
The values of a and b are 7x and 3 respectively
(7x+3) (7x−3)
Using the format
Factorisation(a + b)(a − b) = a² − b²
Therefore,
a = 7x
b = 3
Therefore,
From (a + b)(a − b) = a² − b²
(7x+3) (7x−3) = (7x)² - 3²
(7x+3) (7x−3) = 49x² - 9
learn more on factorisation here: https://brainly.com/question/22190900
What is the approximate area of the shaded sector?
A. 38 cm2
B. 96 cm2
C. 302 cm
D. 603 cm?
Answer:
C. [tex] 302 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]
HELP ASAP 10 POINTSS
Answer:
hi the answer is 29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
PLEASE HELP MY SIS IS BREAKING DOWN CRYING
Using the function provided, evaluate f(1).
Answer choices
7
3
1
4
Answer:
f(1) = 4
Step-by-step explanation:
f(1) means let x=1 and find the y value at that point on the graph
At x=1 there is an open circle and a closed circle. The open circle means that the function does not have a value at that point, so we use the closed circle
f(1) = 4