Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
[tex]f(x) = x^2-10x+31[/tex]
Taking first derivative
[tex]f'(x) = 2x-10[/tex]
Now the first derivative has to be put equal to zero to find the critical value
[tex]2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5[/tex]
The function has only one critical value which is 5.
Taking 2nd derivative
[tex]f''(x) =2[/tex]
[tex]f''(5) = 2[/tex]
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
[tex]f(5) = (5)^2-10(5)+31\\=25-50+31\\=6[/tex]
Hence,
The function y = x 2 - 10x + 31 has a minimum value of 6
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
(x - 1) (x - 2) (0 - 3) = 0
Answer:
1 or 2
Step-by-step explanation:
one of the parentaziz has to equal 0 because anything multiplies by 0 is 0
Answer:
(−1)(−2)(0−3)=0
(−1)(−2)(−3)=0
−3(−1)(−2)=0
−32+6+3(−2)=0
−32+6+3−6=0
−32+9−6=0
= −9+3/−6 = 1
= −9−3/−6 = 2
Step-by-step explanation:
Shannon got a 18.5 out of 20 on Week 11 Cool Down. What percentage of the
total was her score?
Answer:
92.5%
Step-by-step explanation:
18.5/20 = 0.925
0.925 * 100 = 92.5
PLZ MARK AS BRAINLIEST
Im a young student, no one at home knows what i do in math.. thats why i use this app :(
Answer:
13/15
Step-by-step explanation:
Hope it help if you ever need me tell me
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answer:
option 2 I think it's right
Your job pays you $10.75/hr. and last week you worked 48 hrs. Your gross pay is $
Answer: $516
Step-by-step explanation:
Just multiply 48x10.75
Answer:
Its 4.4
Step-by-step explanation:
Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer,
a little geometry, and a tangent line to determine the that mABM = 86.17º and
mBAM =92.54º. The two students form a central angle of 85.9° with the center of the
earth Given this information determine how far each student is away from the from the moon? (i just need help finding the radius!!!!)
Answer:
3963 miles
Step-by-step explanation:
A 6 foot tall baby giraffe standing next to an adult elephant casts a 15 ft shadow if the adult elephant casts a shadow that is 20 ft long then how tall is it
Answer:
29 ft
Step-by-step explanation:
15-6 = 9
20+ 9 = 29
is y=6x+7 proportional or not proportional
Answer:
it is proportional
A car moves at a constant speed of 50 miles per hour. How many hours does it take the car to go 200 miles?
Answer:
4 hoursStep-by-step explanation:
Speed = 50 mphDistance = 200 milesUse formula:
distance = time x speedtime = distance / speedFind the value:
Time = 200 / 50 = 4 hoursGeometry urgent help
Answer:
(7,1)
Step-by-step explanation:
Answer:
(7,1)
Step-by-step explanation:
(0,6)
0 = x
6 = y
(x + 7 y - 5)
(0 + 7,6 - 5)
(7,1)
help plz will give brainliest
2x+2y=16
Standard to slope intercept form.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation 2x + 2y = 16 in slope-intercept form is
y = -x + 8.
Where slope = -1 and y-intercept is 8
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
We have the equation as,
2x + 2y = 16
We need to convert in the form of y = mx + c.
Subtract 2x on both sides.
2y = -2x + 16
Divide both sides by 2.
y = (-2x + 16) / 2
y = -x + 8
This is in the form of slope-intercept form.
Where slope = -1 and y-intercept is 8
Thus,
The equation 2x + 2y = 16 in slope-intercept form is
y = -x + 8.
Where slope = -1 and y-intercept is 8
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Jana went to lunch at 12:30 p.m. She finished lunch at 2:07 p.m.
About how much time did Jana spend at lunch?
Answer:
1 hour and 37 minutes
Step-by-step explanation:
(pls mark brainliest if u can)
Answer:
2:20
Step-by-step explanation:
Witch pair of lines are perpendicular
A) y= 4x - 6
y= 4x + 11
B) y= -4x - 6
y= 4x + 11
C). y= 1/4x - 6
y= 4x + 11
D). y= -1/4x - 6
y= 4x + 11
Answer:
Step-by-step explanation:
19/36 - ⅜ =???????????????????????????
Answer:
1936−3/8=11/72
Step-by-step explanation:
19/36−38=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(19/36, 3/8) = 72
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(19/36×22)−(38×99)=?
Complete the multiplication and the equation becomes
38/72−27/72=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
38−27/72=117/2
This fraction cannot be reduced.
Therefore:
1936−38=11/72
(Some of the numbers might be a fraction)
Which line could be the graph of the points in the table? be у 1 1 S. 2 3 3 1 1 y V i. х → X
Let p represent the number of colored pencils in a box. If there are 26 boxes on the shelf, write an algebraic expression to represent the total number of pencils on the shelf.
Answer:
26p
Step-by-step explanation:
if p is number of pencils and there are 26 box then it would be 26×p
15 divided by 2 equals what
Answer:
7.5
Step-by-step explanation:
PLEASE FAST!!!! tell if the triangles could be proven congruent and prove?
A cyclist rode 4.5 miles in 0.4 hours. How fast was the cyclist going in miles per hour
Answer:
1)Distance covered by cyclist=3.75 miles.
Time =0.3 hours.
Speed= Distance ÷Time
Speed =3.75÷0.3=12.5 miles per hour.
2) Speed = 12.5 miles per hour, Distance = 4.5 miles .
Time = Distance ÷Speed.
Time = 4.5÷12.5=0.36 hours.
Time taken to cover 4.5 miles is 0.36 hours.
is 11.25 mph
Step-by-step explanation:
Need help with work, please
Answer:
-4^3√35
Step-by-step explanation:
make sure to put the three were all the other threes are on you equation
Answer asap! WiIl give brainliest!!!
Worth 11 points!
Step-by-step explanation:
So 300% is the same as the fraction 300/100. Cancel the zeros and you find 3/1, which is just 3.
Solve for f
-f + 2+ 4f = 8 - 3f
Answer:
f = 1
Step-by-step explanation:
-f + 2 + 4f = 8 - 3f
First, I'll add like terms.
2 + 3f = 8 - 3f
Then, I'll add 3f on both sides.
2 + 6f = 8
Next, I'll subtract 2 on both sides.
6f = 6
Finally, I'll divide 6 on both sides.
f = 1
Therefore, f = 1.
Please help me with this
X should equal 11. X=11
x = 11
Hope so this answer guide you to understand
Niko used square tiles to make a rectangle with 2 rows and 7 tiles in each row. Explain how you can find the area of the rectangle.
you can find the area by multiplying 2 by 7. so if you multiple 2 by 7, you would find the area to be 14
Write an equation for a line that is parallel to y = -3x – 5 that goes through the point (-1, 8)
Answer:
y = -3x +5
Step-by-step explanation:
Parallel means that both slopes are the same.
This gives us y = -3x + C so far.
To find the y-intercept, we need to get x to 0.
Since we know the point (-1, 8), we can plug the number in into our equation
y = -3x + C.
8 = -3(-1) + C
8 = 3 + C
8 - 3 = C
5 = C or C = 5.
Now plug in C into our unsolved equation to get y = -3x +5.
please help me!! will give brainliest, so pls dont ignore.
Answer: Domain- All real numbers, Range- y>4
Step-by-step explanation:
:)
PLEASE SOMEONE ANSWER THIS AND I WILL LUV U FOREVER-
A 35 gallon tub of water leaked at a rate of 7 gallons every 3 days. At this rate, how many days did it take for all 35 gallons of water to leak out of the tub?
Answer:
it is 45
Step-by-step explanation:
Please answer fast!!!
Answer:
it's the 2and answer because
Step-by-step explanation:
1,15 is not the same ratio of 2,24
Answer:
No, because 1:15 is not the same ratio as 2:24.
Step-by-step explanation:
2/24 reduces to 1/12 not 1/15 so these ratios are not the same.
i need help with math please