Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
How to define square root ?The outcome of multiplying a number by itself produces the original number, which is the square root of that number. Squares and square roots are a few of examples of exponents. Try to visualize nine. Furthermore, this can be written as 3x3.
Here,
A quadratic function is one where an equation has two roots.
A quadratic function's two roots are equal if D=0.
D (discriminant) = 0 such that b24ac = 0 is needed in order for the roots of a polynomial function to be equal.
As a result, if an equation has two roots, a quadratic function is what it is.
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(12 points)
2. Tom bought 30 shares of a company's stock for $19.72/share. He pays a broker a commission of $11 to buy and sell
stock. After one year, Tom sold all his shares, when they were worth $20.75/share.
A. How much did it cost Tom to buy the stock? Show your work.
B. What was Tom's net gain or loss? Show your work
What was Tom's annual rate of return? Show your work and round to tenth
Step-by-step explanation:
a.)Buying: total cost
Total cost= commission + (price per share× Number of of shares ) ;
Total cost= 11 + (19.72×30)= $591.6+11= $601.6
b.)Net gain or loss;
First, find cash received from sale of stock and deduct commission;
Cash from sale =20.75×30= $ 622.5
deduct commission= 622.5-11= $611.5
Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.
c.) Annual rate of return= (net gain or loss/amount paid)×100%
return= 9.9/(601.6)×100 = 1.645%
How much of a circle does 100 degree angle turn through
The equation of the line of best fit is y= 1/2x+1 how many laps can a bicycle make around the park in 23 mins
Answer:
The equation of the trend line is y= 1/2x +1. How many laps can a bicycle make around the park in 23 minutes? answer choices. 44 laps. 12 1/2 laps. 23 laps.
Step-by-step explanation:
hope this helped :b
Rearrange the formula:
C = 5/9 (F - 32)
to make F the subject
help
Answer:
F = [tex]\frac{9}{5}[/tex] C + 32
Step-by-step explanation:
Given
C = [tex]\frac{5}{9}[/tex] (F - 32)
Multiply both sides by [tex]\frac{9}{5}[/tex] to clear the fraction
[tex]\frac{9}{5}[/tex] C = F - 32 ( add 32 to both sides )
[tex]\frac{9}{5}[/tex] C + 32 = F
how many more years is the avearge life span of a alligator then a tiger
Answer:
69 years
Step-by-step explanation:
Oh, hell yeah
Answer: 69 more years
Step-by-step explanation:
f(x) = – 2x2 - 4x – 18 Find f(-6)
Answer:
(0,-18)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fill in the Blank, I just need help with the last blank
Given:
A circle with center O, LN and MP are two diameters.
To find:
The minor arcs of the given circle.
Solution:
If any arc of a circle is less than its semicircle, then the arc is called is minor arc.
Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.
If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.
So, arc LM, arc MN, arc PL and arc NP are minor arcs.
Therefore, the correct option is A.
2 + 6x > 38 How can I solved this?
Answer:
Below
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
6 x > 36
Divide each term by 6 and simplify.
x > 6
Inequality Form: x > 6
Interval Notation: ( 6 , ∞ )
Hope this helps:)
What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5
Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
What is the equation of proportionality?The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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Repost! Can someone help?
Answer:
y = 7x + 3
Step-by-step explanation:
So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.
Nicolas has $650 to deposit into two different savings accounts.
• Nicolas will deposit $400 into Account I, which earns 3.5% annual simple interest.
• He will deposit $250 into Account II, which earns interest compounded annually.
Nicolas will not make any additional deposits or withdrawals. Which amount is closest to the total balance of these two accounts at the end of 2 years?
Answer:
694.51
Step-by-step explanation:
192.692 - 58.1987
Estimate The Difference
Answer: 134.4933
Step-by-step explanation: 58.1987 minus 192.692 is 134.4933
A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelters collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
Answer: The number of dogs in all of the city's animal shelters is puppies = 270
Step-by-step explanation:
Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.
The city's animal shelters collectively house 1,485 dogs each year.
The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]
Hence, The number of dogs in all of the city's animal shelters is puppies = 270
According to the graph, about what percent of the bags weighs 49.8–50.0 lb?
55%
50%
40%
45%
Answer:
55%
Step-by-step explanation:
Beatrice has a page of 8 math problems to complete over the weekend. She solved 3 problems on Saturday morning and 2 on Saturday afternoon. Write a number sentence with fractions that describes how much of the page Beatrice has completed.
Answer:
5/8
Step-by-step explanation:
Add 3+2 to get 5
5 is the numerator (the number above the line)
8 is the denominator (the number below the line)
Beatrice has done 5/8 (or 5 out of 8) math problems.
The function y= 15.35 (1.0279)^t represents the value y(in dollars) of a share of stock after t days. Identify the initial amount and determine the growth or decay rate.
9514 1404 393
Answer:
initial amount: $15.35growth: 2.79% per dayStep-by-step explanation:
The coefficient is the initial amount: $15.35.
The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.
please answer 13 and 14
Answer:
13. Option 3
14.Option 2
Step-by-step explanation:
Option 3 shows that caleb has $5 or less by using the "less than or equal to" sign
Option 2 uses a closed circle to show that $5 is included in the table.
Things to remember that helped me
Closed circle are used for < and > signs to show that the number is being included. They mean "less than or equal to (<)" and "more than or equal to(>)"
Open circles are used for < and > signs. To show that the number is NOT included in the inequality.
Also when looking at the signs < and >, Picture them as arrows. That will show you the direction on the number line they go. For example < is pointing to the left which would mean "LESS THAN" and same with >, its pointing to the right which would mean "MORE THAN"
Answer:
13 - option 3 and 14 - option 2
Step-by-step explanation:
Grade 9 -10 help pleaseeee determine length of arc CAD
Answer: Divide the chord length by double the radius.
Find the inverse sine of the result.
Double the result of the inverse sine to get the central angle in radians.
Once you have the central angle in radians, multiply it by the radius to get the arc length.
Step-by-step explanation:
3. The table shows the average annual salary in dollars based on
the minimum level of education required for two occupations.
Occupations
Occupation Average Annual Salary Level of Education
(dollars)
Required
Accountant 71,040
Bachelor's degree
41,700
High school diploma
preparer
Тах,
Based on the average annual salaries in the table, how much
more would an accountant earn than a tax preparer over a 30-
year career?
Answer:
the answer is $880.200
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
18.3
Step-by-step explanation:
a^2 + b^2 = c^2
We can call the unknown side x. The hypotenuse (25) is c.
Knowing this, you know that x^2 + 17^2 = 25^2.
Now simpify!
x^2 + 289 = 625
Subtract 289 from both sides:
x^2 = 338
Now take the square root of 338 which is 18.3 rounded to the nearest tenth.
Hope this helped! :)
Please help will mark brainliest :)
Answer:
Fraction Decimal
4/11 0.36363636 ~ the answer would be "0.36"
Step-by-step explanation:
I hope i helped :)
Lynnette went to the coffee shop to buy coffee beans. She purchased 2.5 pounds of her favorite blend. This blend cost $8.50 per pound. How much did the coffee beans cost?
Answer: $21.25
Step-by-step explanation:
Given
Lynnette purchased 2.5 Pounds of blent, which costs $8.50 per pound
total cost is the Product of the amount of blend and rate of coffee blend
[tex]\Rightarrow C=2.5\times 8.50=\$21.25[/tex]
So, coffee beans cost $21.25
Please help me
Please, I beg you.
Answer:
a reflection followed by a translation
Step-by-step explanation:
Match each type of event with its probability. Unlikely event, 10greater than 0 and less than 0.50.5greater than 0.5 and less than 1Neither likely nor unlikely event likely event
Answer:
Unlikely = greater Than 0 ; less than
Likely = greater than 0.5 ; less than 1
Neither likely nor unlikely = 0.5
Step-by-step explanation:
Probability values usually range between standardized values between 0 and 1. With values closer to 1 depicting greater possibilities of an event. Probability value of zero means certain and probability value of 0 zero means.impossible.
Using this standardized values :
An unlikely event is more of not occurring than occurring (that is the event has higher chances of not happening) ;
Hence; We can categorize unliky events to range from below the mid value to greater Tha.n 0
Unlikely event : greater Than 0 ; less than 0.6
Events with probability above the mid value of 0.5 have higher chances of occurring (greater likelihood) hence, Probability is greater than 0.5 but less than 1.
Neither likely nor unlikely event will take the boundary point between likely and unlikely = 0.5
Angle G in trapezoid FGHJ measures 135 degrees. Jasmine reflects the trapezoid over the x-axis. What is the measure of the image of angle G?
Answer:
Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)
Step-by-step explanation:
Answer:
angle g is a 2 and fghj is a 1234 ok
Identify a function rule for the following ordered pairs:
{(0,-4), (2,0), (3, 2), (4,4)}
A)
y= x
B)
y= X-4.
C)
y= x-1
D)
y= 2x-4
What is the constant of proportionality for this problem?
Answer:
$ 825
Step-by-step explanation:
10 yard = $150
55yard = ?
55yard* $150 /10yard
55*15 =825 then the correct answer of
$55 yard is 825
Did i pick the right one?
Answer:
V= 3,14×7×3×5
= 21,98×15
= 131,94
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are blue?
Answer:
84
Step-by-step explanation:
Blue marbles = 35%
35% = 0.35
240(0.35)
84
Answer:
84
Step-by-step explanation:
0.35×240=84
hope this helps
Can anyone help me plss
Answer:
0.7 km per minute , -0.17 km per minute
Step-by-step explanation:
The computation of the average speed is shown below
As we know that
Average speed = Total distance ÷ total time
= (4 + 2 + 1) ÷ (32 + 22 + 16)
= 0.7 km per minute
Now the velocity is
= Change in displacement ÷ change in time
= (4 - 2 - 1) ÷ (32 -22 -16)
= 1 ÷ -6
= - 0.17km per minute