The function y = x 2 - 10x + 31 has a ____
value of ____.
options for the first blank -
A. maximum
B. minimum
options for the second blank -
A. 31
B. 10
C. 6
D. 5
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.
Find the value of x.
Answer:
Buffalo
Step-by-step explanation:
jfvjuvf
Answer:
90
Step-by-step explanation:
its a right angle
Daniel bought a new pair of sunglasses for $41.75. The sales tax is 8%. What is the price of thesunglasses after tax is included?
O $38.41
O $47.50
O $45.09
O $3.34
Answer:
it's 45.09
Step-by-step explanation:
8% of 41.75 is 3.34
3.34 + 41.75 is 45.09
5.7 g = ? kg
Plase answer
Answer:
0.0057
Step-by-step explanation:
hope this helps
Answer:
0.0057
Step-by-step explanation:
1 kg is 1 thousand grams, so divide 5.7 by thousand, or add 3 spaceholders before it, and you get 0.0057.
John saves $15 every pay check. He gets paid
$225 every paycheck. What percent of his
paycheck does he save?
28%
20%
7%
Answer:
its 7% present because first u have to do is ...this is present right t means
% =100 first u have to do is u have 15 divided by 225 then you got 0.066666667 then u have to times by 100 because they ask with present then u got 6.66666667 which means almost 7%
Step-by-step explanation:
can u even check my answer right now pls
(−9.3)(6.47)
Can soomeone plsss help me
A parabola can be drawn given a focus of (8, -5) and a directrix of y=-3 . What can be said about the parabola?
Answer:
The parabola is opening downward.
2
13) Which value of x makes lines m and n parallel? *
140°
AS AS
xº
040°
O 140°
Square Root
[tex]f(x) = \sqrt{x} [/tex]
Insert Graph Image here using snipping tool Domain - in interval notation Range - in interval notation X-intercept y- intercept
Answer:
Domain: [0,infinity)
Range: [0,infinity)
X-intercept: (0,0)
Y-intercept: (0,0)
Step-by-step explanation:
pls help for brainlest
12/14+-7/14 . =5/14
lol
The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.
Answer:
234
Step-by-step explanation:
A(12, 24), B(27, 24), C(30, 12), and D(6, 12)
A and B have same y value of 24, AB // x axis
C and D have same y value of 12, CD // x axis
AB // CD
AB distance = 27 - 12 = 15
CD length = 30 - 6 = 24
AB ≠ CD ABCD is a trapezoid
Area of trapezoid: (upper base + lower base) x height / 2
height = y difference of A and D or B and C 24 -12 = 12
Area = (15 + 24) x 12 / 2 = 39 x 12 / 2 = 234
i need some help with this
Taylor can clean pools at a constant rate of 2/5 pools per hour. What is the ratio of pools to hours?
Answer:1/25
Step-by-step explanation:
1/25 = (2/5)/p. This can be solved by cross-multiplying: p = 25(2/5) = 10. He can clean 10 pools in 25 hours.
José makes lemonade for his family. He combines 1 tbs. Of drink mix, 3 cups of sugar and 1 gallon of water to make one pitcher of lemonade(1:3;1). How much of each ingredient would he need to make 4 pitchers of lemonade? What is the new ratio?
Answer:
1 : 3 : 1
Step-by-step explanation:
1 pitcher of lemonade:
Drink mix = 1 tbs
Cups of sugar = 3
Gallon of water = 1
Ratio = 1 : 3 : 1
How much of each ingredient would he need to make 4 pitchers of lemonade?
Multiply all ingredients by 4
Drink mix = 4 tbs
Cups of sugar = 12
Gallon of water = 4
What is the new ratio?
4 : 12 : 4
= 1 : 3 : 1
The new ratio = 1 : 3 : 1
I will give brainliest!!!
Answer:
Didn't I just do this one?
hmm
It is B btw
Alejandro buys 2 printer cartridges for $28 each and a printer for $85. He gives the cashier $150. How much change will Alex receive from the cashier?
A
$9
B
$11
C
$19
D
$37
Answer:
A.9
28x2=56
56+85=141
150-141=9
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax
Answer:
Amount of motorcycle = $11,500
Step-by-step explanation:
Given:
Tax rate = 12.5 % = 0.125
Amount of tax = $1,437.50
Find:
Amount of motorcycle
Computation:
Amount of motorcycle = [Amount of tax ] / Tax rate
Amount of motorcycle = [1,437.50] / 0.125
Amount of motorcycle = $11,500
Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. What is the area of Eloise's mat? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer: 2/3
Step-by-step explanation:
Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. The area of Eloise's mat will be gotten by multiplying the length by the width. This will be:
= 8/9 × 3/4
= 24/36
= 2/3
Solve 2t-1>15 Please help
Answer:
C
Step-by-step explanation:
Add 1 to both sides:
2t > 16
Divide 2 to both sides:
t > 8
Answer: t > 8 !
Step-by-step explanation:
Hope this helped ! :)
40 - 4x greater than it equal to 10
Answer:40 - 4x >= 10 or x <= 7.5
Step-by-step explanation: hope this helps
Find the value of each variable in the parallelogram.
X=
Y=
Expand and simplify
(2x + 5)2
Answer:
4x+10
Step-by-step explanation:
Here, and can u be kind enough to answer my recent question
What is the area of rectangle FGHK?
Answer:
36 cm ^2
Step-by-step explanation:
l*b
4cm*9cn
36cm^2
The area of rectangle FGHK is 32.24 square centimeters.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
FGHK is a rectangle.
And length = 4 cm.
The area of the rectangle, in diagonal d terms,
= the length x √(d² - l²)
= 4 x √(9² - 4²)
= 4 x 8.06
= 32.24 square centimeters.
Therefore, 32.24 square centimeters are the area of the rectangle.
To learn more about the rectangular;
brainly.com/question/21416050
#SPJ2
GIVING OUT BRAINLIEST TO THE PERSON WHO GIVES THE CORRECT ANSWER FIRST!!
question: Do these pairs of values (x and y) represent two quantities that are proportional?
<image>
Answer choices:
A.) Yes, because as x increases, y increases.
B.) No, because not all of the pairs represent the same ratio.
C.) Yes, because all of the pairs represent the same ratio.
D.) No, because not all of the x-values can be divided by 2 evenly.
Answer:
I think it's B
Step-by-step explanation:
The first ratio isn't the same as the others. I may be wrong. Please tell me if I'm right or wrong.
What is the hardest part of solving a triangle with 2 sides given for you?
Answer:
As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.
Step-by-step explanation:
Type the correct answer in each box. Consider the expressions shown below.
A -7x^2-2x+5
B 7x^2-2x+7
C 7x^2+2x-5
Complete the following statements with the letter that represents the expression.
(3x^2-6x+11)-(10x^-4x+6) is equivalent to expression___ .
(-3x^2-5x-3)-(-10x^2-7x+2) is equivalent to expression___ .
(12x^2+6x-5)-(5x^2+8x-12) is equivalent to expression ___ .
Answer: 1. A 2. C 3. B
Step-by-step explanation:
Answer:
1 - A, 2 - C, 3 - B
Step-by-step explanation:
The dude above me is right
thanks pal
I WILLL MARK YOU HAS BRAINLIEST SOMEONE HELPPP
Answer:
c
Step-by-step explanation:
What is the value of x
the answer is 2.286
Step-by-step explanation:
Similarity of two triangles:
(4/x)=(4+3)/4
x=4/(7÷4) =2.286
Jane cuts a foam block along the red line. When she looks at the newly
exposed face, what is the shape of the cross-section?
HELP! READ THE QUESTION DOWN BELOW (PICTURE)
Answer:
B) -5 and 5
Step-by-step explanation:
Integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One integer is negative and the other is positive.