What are the coordinates of the vertex of the table? Is it a minimum or a maximum?
X Y
0 1
-1 -2
-2 -3
Answers
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.
Related Questions
Two parrallel lines may have 1 intersection point.
A.) True
B.) False
Answers
parallel never intersects
Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $100, win $120 on heads and $70 on tails. darius chooses (2). what sort of attitude does this choice reveal?
Answers
Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?
Faelyn should realize that her work shows that the polynomial is prime.
Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4).
In Step 2, Faelyn should factor only 2x out of the first expression.
Faelyn should factor out a negative from one of the groups so the binomials will be the same.
Answers
Answer:
(b) Faelyn should go back and regroup the terms in Step 1 as (6x⁴ + 3x²) – (8x² + 4)
Step-by-step explanation:
You want to know the next step in factoring 6x⁴ -5x² -4 after noticing the terms have no common factor.
TrinomialFaelyn can notice the variable terms are powers of x², meaning this expression is a quadratic in x². As such, it may be able to be factored using the same strategies available for factoring quadratic expressions.
One such strategy is to rewrite the middle term as a sum, then group the terms and factor each group. Faelyn has apparently noticed that she can rewrite -5x² as 3x² -8x². This means ...
Faelyn should go back and regroup the terms in Step 1 as (6x⁴ + 3x²) – (8x² + 4), choice B.
__
Additional comment
The values used to rewrite the x² term are factors of (6)(-4) = -24 that have a sum of -5. Those values are +3 and -8.
Once Faelyn has regrouped the terms, she can factor further as ...
(6x⁴ + 3x²) – (8x² + 4) = 3x²(2x² +1) -4(2x² +1) = (3x² -4)(2x² +1)
These two binomial factors are prime.
Divide 49 in the ratio 4:2:1
Answers
When you do a ratio, add the numbers together.
4+2+1= 7
49/7=7
7*4= 28
7*2= 14
7*1=7
28:14:7 <== the ratio
I hope this helps!
~kaikers
To divide 49 in the ratio of 4:2:1, find the total quotient of the ratio parts, divide 49 by this total, and then multiply each part of the ratio by the result.
The ratio of the coefficients is 4:2:1, which can be simplified to 2:1:1. To divide 49 in this ratio, follow these steps:
Find the total quotient of the ratio parts: 4 + 2 + 1 = 7.Divide 49 by the total parts: 49 ÷ 7 = 7.Multiply each part of the ratio by 7 to get the divided amounts: 2 x 7 = 14, 1 x 7 = 7.Write a system of equations and solve.
Answers
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226in is equal to how many ft and in (show work
Answers
---------- X --------- = 18ft and 10 in
1 12in
Which metric unit of measurement is best to use to describe the height of a tree
A kilometers
B millimeters
C liters
D meters
Answers
Write each vector as a linear combination of the vectors in s. s = {(2, 0, 7), (2, 4, 5), (2, −12, 13)} (a) u = (−1, 7, −7)
Answers
.. (2, 4, 5)/16 -9*(2, -12, 13)/16 = (-1, 7, -7)
make w the subject of the formula y-aw=2w-1
Answers
y+1=2w+aw
y+1=w(2+a)
(y+1)/(a+2)=w
Answer: w= (y+1)/(a+2)
Answer:
(y+1)\div (a+2)
Step-by-step explanation:
y-aw=2w-1
y+1=2w+aw
y+1=w(2+a)
(y+1)/(a+2)=w
Answer: w= (y+1)\div (a+2)
The current area of the city park is represented by the expression 11x2 + 4x + 6. The city will expand the park this summer by a factor of 5x − 3. If one-fourth of the new park is to be wooded, which expression represents the new area of the park that is not wooded?
Answers
The new area of the park that will not be wooded after expansion is represented by the expression 41.25x³ - 24.75x² + 15x - 13.5.
Explanation:The current area of the park is given by the polynomial 11x² + 4x + 6. If the city expands the park by a factor of 5x - 3, the total new area of the park becomes (11x² + 4x + 6) * (5x - 3), which represents the expansion of the park.
However, the question asks for the part of the park that will not be wooded, which we know is three-fourths of the total park. So, we multiply our expanded park equation by 3/4 (or 0.75) to find this area:
(3/4) * [(11x² + 4x + 6) * (5x - 3)]
Using distributive property, we can further expand the expression:
=(3/4) * [(55x³ - 33x² + 20x - 18)]
So the area that will not be wooded after expansion is expressed as 41.25x³ - 24.75x² + 15x - 13.5.
Learn more about Polynomial Expansion here:https://brainly.com/question/13793580
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Given that the current area of the park is represented by a second degree equation, the expansion of the park will proportionally increase its area. The new area after expansion will be the product of the current area and the expansion factor, so we will need to multiply our current area, which is given by 11x^2 + 4x + 6, by the expansion factor, which is 5x - 3.
This will yield: (5x - 3)*(11x^2 + 4x + 6) as the total new area of the park.
Now that we've calculate the total new area of the park, we need to find out the area of the park that will be wooded and the area that will not be. We know that the wooded area will be one-fourth of the total area, so we can find this by dividing our total area by 4.
This yields: (5x - 3)*(11x^2 + 4x + 6) / 4 as the wooded area of the park.
After discovering the area that will be wooded, we can find the non-wooded area by subtracting the wooded area from the total area of the park.
Therefore, the new area of the park that is not wooded is given by:
3*(5x - 3)*(11x^2 + 4x + 6) / 4
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AB ≅ BC and AD ≅ CD What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem? What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?
Answers
Answer:
C, B
Step-by-step explanation:
Answer:C B
Step-by-step explanation:
Which of the following has a value between 10/3 and 11/3 ? A- 3 1/2 B-3 1/4 C- 3 3/4 D- 3 1/8
Answers
Answer:
A IS CORRECT
Step-by-step explanation:
GOOGLE I SEARCH UP THE ANSWER
You work for a furniture moving company. Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the best deal on rope?
A) 10 feet for $7.00
B) 20 feet for $13.00
C) 50 feet for $28.00
D) 100 feet for $57.50
Answers
Answer:
Option C- 50 feet for $28.00 is the best deal because it offers rope $0.56 per feet.
Step-by-step explanation:
To know what is the best deal on rope, we calculate the price for 1 feet rope from the given deals.
A) 10 feet for $7.00
1 feet = 7.00 ÷ 10 = $0.70
B) 20 feet for $13.00
1 feet = 13.00 ÷ 20 = $0.65
C) 50 feet for $28.00
1 feet = 28 ÷ 50 = $0.56
D) 100 feet for $57.50
1 feet = 57.50 ÷ 100 = $0.575
Option C) 50 feet for $28.00 offers lowest price, so this is the best deal.
Answer:
The best deal is "50 feet for $28.00"
C is correct
Step-by-step explanation:
We need to buy tie down rope for moving furniture.
We have to choose best deal from four option.
We are given length of rope and price of rope.
We can identity best deal if we know the price of rope per feet.
So, first we change each option into per feet.
Option A) 10 feet for $7.00
Price of 10 feet rope = $7
Price of 1 feet rope = $0.70
Option B) 20 feet for $13.00
Price of 20 feet rope = $13.00
Price of 1 feet rope = $0.65
Option C) 50 feet for $28.00
Price of 50 feet rope = $28.00
Price of 1 feet rope = $0.56
Option D) 100 feet for $57.50
Price of 100 feet rope = $57.50
Price of 1 feet rope = $0.5750
Now, we arrange each per feet price and check best deal.
0.70 > 0.65 > 0.57 > 0.56
The minimum cost is $0.56
Hence, The best deal is "50 feet for $28.00"
What kind of angle is formed by the tangent to a circle and a radius of that circle?
Answers
A right angle.
Answer: 90° which is a right angle
Step-by-step explanation:
The tangent to a circle is perpendicular to the radius at the point of tangency. The angle between a radius and tangent is 90°>
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
Answers
Therefore, we can find the average rate of change as follows:
m = (y2-y1) / (x2-x1)
m = (11-6) / (11-9)
m = (5) / (2)
m = 5/2
Answer:
the average rate of speed over the interval [9, 11] is:
D. 5 / 2
Answer:
Hence, option D is correct.
(i.e. Average speed is 5/2 miles/hour)
Step-by-step explanation:
We are asked to find the average rate of speed over the interval [9, 11].
We know that average speed is given as the ratio of total distance over total time.
the distance when time=9 hours is 6 miles.
and the distance when time=11 hours is 11 miles.
Hence, average speed is given as:
[tex]Average speed=\dfrac{Total distance}{Total time}\\\\Average speed=\dfrac{11-6}{11-9}\\\\Average speed=\dfrac{5}{2}[/tex]
Hence average speed is 5/2 miles/hour.
What is the better estimate for the mass of a textbook, 1 gram or 1 kilogram
Answers
A charity organization had a fundraiser where each ticket was sold for a fixed price of $ 70. They had to sell a few tickets just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $800, (due to the production costs). Let (n)P, denote the net profit from the fundraiser P (measured in dollars) as a function of the number of tickets sold n. Write the function's formula.
Answers
12000+1200=13200,
13200/200+66,
it asks net profit, so you need to minus $1200 to find it.
Answer: The function's formula would be
[tex]P(n)=Revenue-Cost\\\\P(n)=70n-1500[/tex]
Step-by-step explanation:
Since we have given that
Price of each ticket = $70
Number of tickets = 10
Total cost price of tickets would be
[tex]70\times 10\\\\=\$700[/tex]
After selling 10 tickets, there is a net loss of $800.
So, Total product cost would be
[tex]\$700+\$800\\\\=\$1500[/tex]
We need to write the function's formula for the number of tickets sold 'n'.
So, the function's formula would be
[tex]P(n)=Revenue-Cost\\\\P(n)=70n-1500[/tex]
Suppose (b − c)d = 0, where b and c and m × n matrices and d is invertible. show that b =
c.
Answers
[tex](\mathbf B-\mathbf C)\mathbf D=\mathbf 0\implies(\mathbf B-\mathbf C)(\mathbf D\mathbf D^{-1})=\mathbf0\mathbf D^{-1}[/tex]
[tex]\implies(\mathbf B-\mathbf C)\mathbf I=\mathbf 0[/tex]
[tex]\implies\mathbf B-\mathbf C=\mathbf 0[/tex]
[tex]\implies\mathbf B+(-\mathbf C+\mathbf C)=\mathbf 0+\mathbf C[/tex]
[tex]\implies\mathbf B+\mathbf0=\mathbf C[/tex]
[tex]\implies\mathbf B=\mathbf C[/tex]
Round 14.376 to the nearest dollar
Answers
your answer sheet is if it is over 5 you round it up. if it is under 5 it is rounded down
The area of a sector of a circle is given by the equation A=3.14r^2S/360, where r us the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?
Answers
to solve for s we proceed as follows:
multiply both sides by 360, this will give us:
360A=3.14r²S
next we divide both sides by 3.14r²
360A/(3.14r²)=(3.14r²S)/(3.14r²)
This will give us:
S=360A/(3.14r²)
Just took the quiz.
The answer is 360A / pi r^2
dan saved $463 over the 12 weeks of summer break. He saved $297 of it during the last 4 weeks.How much did he save during the first 8 weeks?
Answers
So you subtract 297 from. 463, which gives you 196.
Hope this helps! :)
Paysly is studying a mosquito with a mass of 2.5×10−62.5×10-6 kilograms and a housefly with a mass of 2×10−52×10-5 kilograms. Which statement is true?
The mosquito is 88 times the mass of the housefly.
The housefly is 88 times the mass of the mosquito.
The housefly is 1010 times the mass of the mosquito.
The mosquito is 1010 times the mass of the housefly.
Answers
In standard form, the mass of the mosquito is given by 0.0000025. The mass of the housefly is given by 0.00002. Since it is a larger number, we will divide this by the mass of the mosquito to find how many times bigger it is:
0.00002/0.0000025 = 8
Answer: The house fly is 8 times the mass of the mosquitio
Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop?
Answers
P(T | L) = P(T&L)/P(L)
P(T | L) = 0.29/0.67 = 29/67 ≈ 0.4328 ≈ 43.3%
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the rate table to solve the proportion.
Answers
Answer: The required cost of ingredients that would serve the recipe to 24 people is $39.
Step-by-step explanation: Given that a recipe makes enough stew for 6 people and the ingredients cost $9.75.
We are to find the cost of the ingredients that would make recipe to serve 24 people.
We are to use the rate table to solve the given problem.
Since the rate of increase of number of people is given by
[tex]\dfrac{24}{6}=4.[/tex]
Therefore, we will multiply the cost of ingredients for 6 people by 4.
Therefore, the cost of ingredient that makes the recipe to serve 24 people will be
[tex]=9.75\times 4\\\\=39.[/tex]
Thus, the required cost of ingredients that would serve the recipe to 24 people is $39.
each day last week, Ms. wilson walked3/4 mile. what is the total distance, in miles, that Ms. Wilson walked in 4 days?
Answers
Since she walks 3/4 a mile a day, we can multiply that by 4.
3/4= .75
4*.75= 3
She walked 3 miles in 4 days.
I hope this helps!
~kaikers
Taking into account the rule of three, the total distance that Ms. Wilson walked in 4 days is 3 miles.
Rule of threeIn first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
Total distance that Ms. Wilson walkedYou can applied the following rule of three: if each day last week, Ms. Wilson walked [tex]\frac{3}{4}[/tex] mile, in 4 days what is the total distance that Ms. Wilson walked?
[tex]total distance=\frac{4 daysx\frac{3}{4} miles }{1 day}[/tex]
total distance= 3 miles
Finally, the total distance that Ms. Wilson walked in 4 days is 3 miles.
Learn more about the rule of three with this example:
brainly.com/question/12482948?referrer=searchResults
What is the simplified form of the expression? 3/a-9b
Answers
Final answer:
The simplified form of 3/(a-9b) is 3/a - 1/3b.
Explanation:
The closest relevant excerpt appears to be “(a + b)/h, āb/h + (a + b)(a + b)/h = (a + b)/h” which simplifies to “(a + b)/h”, assuming the intention was to demonstrate simplification through common denominator aggregation or algebraic manipulation. The mostly likely possible simplification in this can be done in the following form.
The simplified form of the expression 3/(a-9b) is 3/a - 1/3b.
To simplify, we split the fraction into two: 3/a - 3/(3b) = 3/a - 1/3b.
what is the equation of the line that has a slope of 4/5 and a y-intercept of -1?
Answers
Answer:
y = 4/5x -1
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
... y = mx + b . . . . . . for slope m and y-intercept b
You have m = 4/5 and b = -1. The equation of the line is found by putting these values in their places in the form above.
... y = 4/5x -1
The equation of the line with a slope of 4/5 and a y-intercept of -1 is y = (4/5)x - 1.
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Given a slope of 4/5 and a y-intercept of -1, we can substitute these values directly into the slope-intercept form equation to get the equation of the line.
Hence, the equation for this line is y = (4/5)x - 1.
The endpoints of sa020-1.jpg are A(9, 4) and B(5, – 4). The endpoints of its image after a dilation are sa020-2.jpg and sa020-3.jpg. Find the scale factor.
Answers
The scale factor is (√10) / (4)
Explanation:
The complete question as well as the rule for the distance between two points are shown in the attached image.
To get the scale factor, we will follow these steps:
1- Length of AB:
AB = √(5-9)²+(-4-4)²
AB = √80
AB = 4√5 units
2- Length of A'B':
A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2
3- getting the scale factor:
A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)
Hope this helps :)
determine the range of possible side lengths of the third side AB of triangle ABC from gretaest to least
Answers
Greatest Least
4/9 converted into a decimal rounded to the nearest thousand