The function f is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(x) = 1/2(x-5)^2-2
f(x)= 1/2(x -3) (x -7)
f(x) = 1/2x^2-5x+21/2
Write one of the zeros
Answers
Answer:
a) best form: (b) f(x)= 1/2(x -3) (x -7)
b) zeros: x=3, x=7
Step-by-step explanation:
The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.
f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7
Answer:
khan
Step-by-step explanation:
Related Questions
Find the sides, and the value of x and y.
Answers
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...
Answers
Answer:
Its geometric because each number is being divided by 2.
r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)
Answers
Answer:
d'(5,0) e'(8,2) f(-5,3)
Step-by-step explanation:
When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x
Example- (4,5) would become (5,-4)
Question is in picture
IS MNL=QNL? Why or why not?
Answers
Answer:
B) Yes, they are both right angles.
Step-by-step explanation:
Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo
to redistribute them and share them equally in 25 bags for a class activity.
a) How many counters will she put in each bag?
b) Will she have any counters left? If yes, how many?
Answers
Answer:
she will put 9 counters in each bag
she will have 20 counters left over
Answer:
a. 9 each
b. yes she will have 20 left
Step-by-step explanation
245/25=9.8 but if equally it will be 9 with a remainder of 20
that solves everything
Pls help I’ll brainlest help I’m failing do it on a paper and put it in the answer box
Answers
the 9-dight number that identifies the bank that a check came from is called
Answers
Answer:
im pretty sure its the routing number
Step-by-step explanation:
trust me
Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=
Answers
Answer:25.3
Step-by-step explanation:
Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
Answers
IT SUPPOSED THE BE LAKE CLIPSON
How would I solve this algebra question? Step by step
Answers
Solve the equation for the variable 49-2/3x=32-1/6x
Answers
Answer:
No Solutions
Step-by-step explanation:
I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.
Therefore, x has no solutions.
Answer:
Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5
Step-by-step explanation:
There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?
Answers
Answer:
• For this one we need to split this problem into two equations:
• a (adults) + c (children) = 560
• 2a + c = $860
• Then we substitute 560 - a for c in the second equation.
2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265• Then we plug this into the first equation:
265 + c = 560c = 295Step-by-step explanation:
I hope this helps you !!9x + 3 – 7x + 4
Help me out please?
Answers
Answer: The answer is 2x + 7.
Explanation: First, we need to add the numbers:
9x + 3 – 7x + 4
9x + 7 - 7x
And finally, we combine like terms:
9x + 7 - 7x
2x + 7
A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?
p=
Answers
Answer:
Step-by-step explanation:
Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.
Answers
They are parallel because they have the same slopes (5x)
A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?
Answers
Answer:the answer will be 48
Step-by-step explanation: 24 divided by 3 =8 x 6 =48
I REALLY HOPE THIS HELPS
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answers
Answer:
$28
20 plus 40 percent
that's the answer
Help help math please I don’t understand
Answers
Answer:
45°
Step-by-step explanation:
it's a mirror angle to the known angle
the line passes through the point (4,7) and has a slope that is reciprocal of the slope of the line y=1/3x+2
point slope form and slope intercept form pls
Answers
first you have to change 1/3 to -3
y=-3x+2
then you have to replace 2 with 'b' because you don't know the y intercept yet
y=-3x+b
then you substitute the point (4,7) into the equation
7= -3(4) + b
7= -12 + b
19 = b
y = -3x + 19 is the equation in slope intercept form
for point slope form:
-3x is still the slope and you replace x and y with the point 4,7
y- 7= -3 (x-4)
8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answers
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
Please help me simplify this answer.
Answers
Answer:
D
Step-by-step explanation:
if x =4 and y =5
the expression = 818.3396
and D the only expression done the same result
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answers
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
What is this word phrase as a math expression? 4 times the sum of a number and 11
1 point
4(x + 11)
4x + 11
4 + (x + 11)
4x + 11 x
Answers
Answer:
i think that the correct answer is 4x+11
HELP!!!
graph and label the following real numbers on the number line:
Answers
Answer:i dont know yet
Step-by-step explanation:
Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.
5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?
6) How much will Nick have paid total for the house for the 30-year fixed mortgage?
7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?
8) How much will he have paid total for the house if he does a 15-year mortgage?
Answers
Answer:
this is hard too
Step-by-step explanation:
HELP PLEASE.!!!
This week Sally withdrew $35 from her bank account and deposited $90 into her bank account. Overall, how much did she add to her bank account.
Answers
Answer:
55
Step-by-step explanation:
Please HELP Write the graph's domain and range in interval notation.
Answers
Step-by-step explanation:
Domain: x€ [ -7;7]
Range : y€ [-6;4]
For the domain, the graph's x-values are from -7 to 7
For the range, the graph's y-values are from -6 to 4
A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answers
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
The answer is 10^-2/3+5
Answers
Answer:
k
Step-by-step explanation:
Samuel drives 144 miles in 2 1/4 hours. If he continues at the same rate, he will have driven
miles in 6 hours
Answers
Find number of miles driven in one hour:
144 miles / 2 1/4 hours = 64 miles per hour
Multiply by 6 hours:
64 x 6 = 384 miles
Answer: 384 miles
