The function y= x2 - 10x+ 31 has a
value of
Answers
Answer:
y = 6 at x = 5Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
The minimum/maximum value of a quadratic function is the vertex, which is at:
x = -b/2aFor the given function y = x² -10x + 31, the vertex is:
x = - (-10)/2*1 = 10/2 = 5The value of y at this point is:
y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6The point is
(5, 6)
Related Questions
Please answer quickly
Our national debt is growing rapidly. Find the current amount owed and share this information in a post to this discussion board, while answering the following questions:
Share the debt amount in standard notation and scientific notation.
How quickly does the debt grow?
Answers
Answer:
a. The current national debt is roughly 27.832 trillion dollars.
b. In standard notation, this is: $27,832,000,000,000.
c. In scientific notation, this is: [tex]2.7832 x 10^{13}[/tex].
d. It grows (on average) roughly 2-3 percent per year, which, for recent years, is around 800 billion dollars per year.
I hope this helps! Please feel free to give me Brainliest if you feel this helped. Have a good day and a good rest of your 2021. :)
(image from Market Watch.)
Answer:
the current national debt is $27,800,000,000,000. this number is scientific notation equals 10^13 times 2.78. it grows around 2 percent per year.
have a good day :)
Help please! Look at pic ASAP! Giving brainlest to the right amswer
Answers
Answer:
27 divided by 6=?
=4.5
divide the 27 into 6 equal container to get the amount of ounce per container
Which linear inequality is represented by the graph?
O y s 2x + 4
Oys2x+3
O y z 2 / 3x + 3
O y 22x + 3
Answers
Given:
The graph of an inequality.
To find:
The inequality for the given graph.
Solution:
From the given graph it is clear that the boundary line passes through two point (0,3) and (2,4). So, the equation of boundary line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{4-3}{2-0}(x-0)[/tex]
[tex]y-3=\dfrac{1}{2}(x)[/tex]
[tex]y=\dfrac{1}{2}x+3[/tex]
The shaded area lies below the boundary line and the boundary line is a solid line. So, the sign of inequality must be ≤.
The required inequality is
[tex]y\leq \dfrac{1}{2}x+3[/tex]
Therefore, the correct option is B.
2(7-8.5)^2-3|3.5-5|=
Answers
Answer: 0
Step-by-step explanation:
2(7−8.5)2−3(|3.5−5|)
=2(−1.5)2−3(|3.5−5|)
=(2)(2.25)−3(|3.5−5|)
=4.5−3(|3.5−5|)
=4.5−3(|−1.5|)
=4.5−(3)(1.5)
=4.5−4.5
=0
PLEASE HELP!!!
A quadratic equation has two roots: -2 and 3. Which describes the location of the roots on the graph of the equation?
a) at the point (-2,3)
b) crossing the x-axis at -2 and 3
c) at the point (3,-2)
d) crossing the y-axis at -2 and 3
e) at the vertex of the parabola
Answers
Answer:
Answer b) : crossing the x-axis at -2 and 3
Step-by-step explanation:
The roots will be located at the crossing of the graph with the x-axis at the points (-2, 0) and (3, 0).
Therefore, the correct answer is that labeled b)
Enter the minimum value for the function f(x)=3x^2-12x+4
Answers
Answer:
(2,-8)
Step-by-step explanation:
use the formula : x= -b/2a
Hope i helped :)
Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this
Answers
Answer:
8 , 5 , 5.785
Step-by-step explanation:
y^2 - x^3
first just plug in the numbers and you get
(4)^2 - (2)^3
Multiply
16-8 and this equals 8
x1 + x^3 - y^2
same pattern plug in the numbers
(3)^(1) + (3)^3 - (5)^2
multiply
3 + 27 - 25
P
E
M
D
Addition
Subtraction so do 3+27 first and you get
30 - 25 = 5
x^4 / x^3 plug it in
(6)^4 / (6)^3
multiply
1269 / 216
divide this and you get
5.875
-10 + -3u = -4 answer please
Answers
Answer:
U=-4.66666 sorry if this is wrong I tried though
Step-by-step explanation:
-10 + -3u = -4
-3u=-14
U=-4.66666
The sum of two odd consecutive integers is 88. Find the integers.
Answers
-- there is an equation to find this: (2n + 1) + (2n + 3) = (whatever number is given as their sum)
use the equation: 2n + 1 is an odd interger, 2n + 3 is the next odd integer.
(2n + 1) + (2n + 3) = 88
add like terms.
4n + 4 = 88
4n = 84
n = 21
now plugin.
2(21) + 1
42 + 1
= 43 (the first odd integer)
this means the second one would be 45.
answer: 43 and 45
add them to check:
43 + 45 = 88
Juan has 3 blue buttons, 6 red buttons, and 2 yellow buttons in his pocket. All the buttons are the same size and shape. Juan takes out one button. Which statement is correct?
A.
He is more likely to take out a yellow button than a red button.
B.
He is less likely to take out a yellow button than a red button.
C.
He is less likely to take out a red button than a blue button.
D.
He is more likely to take out a blue button than a red button.
I’ll mark you as brainlyest
Answers
Answer: The answer is B
Step-by-step explanation:
Answer:
the answer is B
because in the sentences there less quantity is yellow buttons and more quantity in red button
please answer 14 and 15 please!
Answers
Answer: number 14 is 30.78 x 10 to the exponent of 11
Step-by-step explanation:
you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
A. y=-1/2x
B. y=1/4x
C. y=-2x
D. y=1/2x
E. y=2x
F. y=4x
Answers
Answer:
y=-2x
Step-by-step explanation:
PLS HELP FAST!
A Food Pantry is making packages, Each package weighs 64 pounds.
Scenario 1: Each Package contains 4 identical bags of rice and a 7-pound bag of beans.
a. write an equation to represent the situation using x.
Scenario 2: Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
b. write an equation to represent the situation using x.
I will give brainliest if I figure out how to. I don't know how to. If I figure it out, I will give you one.
Answers
Answer: 4(x) + 7= 64 lbs
Step-by-step explanation:
Scenario 1: 4(x) + 7= 64 lbs
Scenario 2: 4(x) + 7= 64 lbs
What is the area of the following circle?
Either enter an exact answer in terms of pie or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
153.86 units²
Step-by-step explanation:
From the question given above, the following data were obtained:
Pi (π) = 3.14
Radius (r) = 7 units
Area (A) =?
The area of a circle can be obtained by using the following formula:
A = πr²
A = 3.14 × 7²
A = 3.14 × 49
A = 153.86 units²
Thus, the area of the circle is 153.86 units²
Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or equal to 5 and nq greater than or equal to 5 must be met. For p= 0.9, compute the minimum sample size needed for use of the normal approximation. Round your answer to the next whole number.
The minimum sample size needed for use of the normal approximation is =
Answers
Answer:
The minimum sample size needed for use of the normal approximation is 50.
Step-by-step explanation:
Suitability of the normal distribution:
In a binomial distribution with parameters n and p, the normal approximation is suitable is:
np >= 5
n(1-p) >= 5
In this question, we have that:
p = 0.9
Since p > 0.5, it means that np > n(1-p). So we have that:
[tex]n(1-p) \geq 5[/tex]
[tex]n(1 - 0.9) \geq 5[/tex]
[tex]0.1n \geq 5[/tex]
[tex]n \geq \frac{5}{0.1}[/tex]
[tex]n \geq 50[/tex]
The minimum sample size needed for use of the normal approximation is 50.
The table shows the average bill totals for given numbers of diners at Simone's restaurant. If the rate is constant and you graph this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
a. (12, 470)
b. (20, 800)
c. (24, 1,020)
d. (27, 1,080)
e. (28, 1,110)
Answers
Answer: B and D
Step-by-step explanation: 40 * 20 = 800 and 40 * 27 = 1,080
The point (20 , 800) and ( 27 , 1080 )lies on the line.
Option (b) and (d) is correct.
It is given that average bill totals for given numbers of diners at Simone's restaurant.
To find which points will lie on the line you get.
What is co-ordinate?Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).
The rate is constant.
Graph this relationship with the number of people along the x-axis and bill amounts along the y axis.
y = mx + c
=> 40 =m+ c
80 = 2m + c
=> m = 40
40 = 40 + c
=> c = 0
Hence
y = 40x
x = 12 => y = 480
x = 20 => y = 800
x =24 => y = 960
x = 27 => y = 1080
x = 28 => y = 1120
Hence (20 , 800) and ( 27 , 1080 ) point lies on the line
Learn more about the co-ordinate here:
https://brainly.com/question/20825065
#SPJ5
change 27 km 280m into metre
Answers
Answer:
27,280metres
Step-by-step explanation:
27*1000m+280
27,280m
Answer:
27280
Step-by-step explanation:
1km = 1000 metres
27km = 27000 metres
27000 + 280 =27280 metres
3x-5y=15 in slope intercept form
Answers
Answer:
I think the answer will be y=3/5x-3
Answer:
y = 3/5x - 3
Step-by-step explanation:
Slope-intercept form is y = mx + b.
For this question, all you need to do is move some stuff around!
In slope intercept form, the x is on the right side, so you would first subtract x from both sides.
3x - 5y = 15
Next, you would divide both sides of the equation by -5 to get y by itself.
-5y = 15 - 3x
Finally, rearrange the equation. y = mx + b
y = -3 + 3/5x
y = 3/5x - 3
complete each congruence statement and name the rule used if you cannot show the triangles are congruent from the given information leave the triangles name blank and write s NBT for cannot be determined in place of the rule
Answers
Answer:
LAW=WKL
By rule: ASA|SAA
Step-by-step explanation
don't know how to explain it
The triangle LAW ≅ WKL by ASA congruence property.
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
We have to complete each congruence statement and name the rule used if cannot show the triangles are congruent from the given information leave the triangles name blank .
The triangle LAW ≅ WKL by ASA congruence
WL = WL (COMMON SIDE)
∠ALW = ∠KWL
∠AWL = ∠KLW
Also, These statements can be noted from the image.
Therefore, The triangle LAW ≅ WKL by ASA congruence property.
To know more about Congruence;
brainly.com/question/4100108
#SPJ5
Six people buy pumpkins for $5 each. How much is the total cost for all the pumpkins?
Answers
Answer:
$30
Step-by-step explanation:
6 people and each one buys a $5 pumpkin so we'll multiply
6x5=30 dollars
Answer:
if each person is buying one than 30 together but if there's no amount than who knows
Step-by-step explanation:
5×6=30
*will give brainliest to the person who answers first*
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
To the nearest percent, what percentage of 10th graders surveyed preferred
robotics?
A. 61%
B. 33%
C. 51%
D. 54
Answers
Answer:
33%
Step-by-step explanation:
decimal x 100
If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3
Answers
Answer:
The inverse of a given function
d) [tex]g(x) = \frac{1}{4} x - 3[/tex]
Step-by-step explanation:
Explanation:-
Given that f(x) = 4x + 12
let y = 4 x + 12
4 x = y - 12
[tex]x = \frac{y-12}{4}[/tex]
[tex]x = \frac{1}{4} y - 3[/tex]
we know that y = f(x)
⇒ x = f⁻¹(y)
[tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]
Put replace 'y' in 'x'
[tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]
Final answer:-
The inverse of a given function
[tex]g(x) = \frac{1}{4} x - 3[/tex]
Answer:
D
Step-by-step explanation:
Right on edge
jennifer is designing shirts for her dance team. she bought 2 and 1/4 of fabric her total cost was $15 what was her cost per yard
Answers
Answer:
I believe it $6.67
Not sure, sorry!
Step-by-step explanation:
Which phrase represents 3 - 7x
Answers
Answer:
What are the phrases?
Step-by-step explanation:
Use the expression 1/4p−(1-1/3p). Rewrite the expression without parentheses.Simplify. Show your work. Use a different method to write the expression without parentheses. Do not simplify
Answers
Can someone help!(freckle math)
A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate,how much will they pave in one hour?
Answers
Michael and Bill are 238 miles apart, traveling towards each other. If Bill travels 20 mph and Michael travels 14 mph how long until they meet?
Answers
Answer:
They will meet in 7 hours.
Step-by-step explanation:
They are traveling toward each other, which means that their relative speed is the sum of their speeds.
Bill travels 20 mph and Michael travels 14 mph
This means that their relative speed is of 20 + 14 = 34 mph, that is, they get 34 miles closer each hour.
Michael and Bill are 238 miles apart, how long until they meet?
Each hour, they will be 34 miles closer. How many hours for 238 miles?
1h - 34 miles
x h - 238 miles
By rule of three
[tex]34x = 238[/tex]
[tex]x = \frac{238}{34} = 7[/tex]
They will meet in 7 hours.
Jennifer is 40 miles north of her house, and she is driving north on the highway at a rate of 35 miles per
hour.
The slope is ?
The y-intercept is ?
Answers
Answer:
The slope is 55.
Step-by-step explanation:
Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.
In the question, it is given initially she is 20 miles north of her house
⇒ When x = 0 the y-coordinate is 20
So, the y-intercept is 20
Now, it is given that the rate of change is 55 miles per hour
Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.
Is 3^2 + 3^3 equal to 3^5?Explain.
Answers
3^2+3^3=36
3^5=243
I NEED THIS DONE ASAPPPP
expand 4(m+2)
4(m+2) =
Answers
4(m + 2) expanded is 4 x m and 4 x 2
simplified: 4m + 8
