Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
[tex]2x^2-6[/tex]
Step-by-step explanation:
If a quadratic equation has a root at a certain point, the x value must equal. zero. If we want to have the function reach 6 and -6 as roots:
x = 6
x - 6 = 0
x = -6
x + 6 = 0
Combining the two we get (x+6)(x-6) which will give us a quadratic equation.
Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]
The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]
What is the equation of the line? (Lol please answer I didn’t pay attention in class)
The graph below represents a function.
what are the rate of change and the initial value of the function represented by the graph
A.the rate of change is 3 and the initial value is 5
B.the rate of change is 1/3 and the initial value is 5
C.the rate of change is 5 and the initial value is 3
D.the rate of change is 5 and the initial value is 1/3
Answer:
B
Step-by-step explanation:
The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.
Answer:
its b
Step-by-step explanation:
The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations,
how far does the bike travel?
I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
Step-by-step explanation:
The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4
Answer:
When x = 2.4, we have y = 10.8
Step-by-step explanation:
A direct variation of two variables, x, and y, can be written as:
y = k*x
Where k is a constant, called the constant of variation.
We know that y = 7.2, when x = 1.6
Then we can replace these two in the above equation to get:
7.2 = k*1.6
Now we can solve this for k:
7.2/1.6 = k = 4.5
Then our relation is:
y = 4.5*x
Now we want to find the value of y, when x = 2.4
Then we just need to replace x by 2.4 in the above equation:
y = 4.5*(2.4) = 10.8
y = 10.8
I need help please help me
Answer:
look below
Step-by-step explanation:
1*2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
11^2=121
12^2=144
13^2=169
14^2=196
15^2=225
I had to memorize all of these up to 20 squared 2 years ago lol
One line passes through the points (0, 2) and (3, 4). Another line passes through the
points (3,5) and (5,2). Are they parallel or perpendicular?
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
Veronica spent 3/4 hour reading each day for 7 days. In all, how much time did she spend reading?
Answer:
21/4 or 5 and 1/4 hours
Step-by-step explanation:
3/4 times 7 or 7/1
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4
f(x) = -4x2 + 5x
Find f (6)
Need help on this please
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.
Laura received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.96 per pound. After buying the coffee, she had $56.13
left on her card. How many pounds of coffee did she buy?
Answer:
Step-by-step explanation:
Hi.
I can help.
First what we want to do is take what she had before spending any money and then take what she had after.
So :
$80.00
and
$56.13
Now to find how much she spent we can subtract these two numbers like so :
80.00 - 56.13
=
23.87
So now we know she spent a total of $23.87 on coffee in pounds.
Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.
So:
23.87 / 7.96
=
About 3
She bought 3 pounds of coffee.
Hope this helps,
Have a great weekend
help me do this please!!!
Answer:
Step-by-step explanation:
ok soo....
the area of the one like higher up would be 42
and then the area of the one like landscape would be 48
and then the area of like the box they make in the middle is 30
so ya i hope this helped
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
Elena swan 14 laps in 42 minutes.how many minutes per lap did Elena swim?round your answer to two decimal places must be a decimal answer.
Answer: 4
Step-by-step explanation:
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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I need question 4 and 5
Answer:
4) x=14
Step-by-step explanation:
multiply the area by 2 to get 140then devide by 10 to find x
X 1. Solve the equation
Atun
(x + 2) = 20
Answer:
hi
Step-by-step explanation:
Answer:
18 ?
Step-by-step explanation: What is Atun ?
A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
when the denominators are the same, the fraction with the _____ is the largest fraction
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
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factor the expression-15x +39
Answer:
3(5−13)
Step-by-step explanation:
..............
Answer:
-3(5x-13)
Step-by-step explanation:
The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.
Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median
Answer:
Sample median appears to be an unbiased estimator of the population median
Step-by-step explanation:
The sample median appears to be centered near 16
The required sample median appears to be an unbiased estimator of the population median
What are dot plots?A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.
Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.
The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.
When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.
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Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square
Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms
Answer:
60 liters
Step-by-step explanation:
Answer:
C. 60 kilograms
Step-by-step explanation:
The person above me is incorrect because liters is used on liquids
Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
Answer:
7 1/2 miles
Step-by-step explanation: