Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
The only true statement is :
The graph of the function is a parabola
Step-by-step explanation:
f(x) = x² – 5x + 12
Option 1: The value of f(–10) = 82
Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82
Option 2: The graph of the function is a parabola [tex]\huge\checkmark[/tex]
Option 3: The graph of the function opens down
Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.
Option 4: The graph contains the point (20, –8)
Reason : f(20) = 312 ≠ -8
Option 5: The graph contains the point (0, 0)
Reason : f(0) = 12 ≠ -8
Answer:
ABC
Step-by-step explanation:
NEED HELP ASAP
!!!!!!!
Answer:
P = 184 yards
C = 175.84 centimetres
P = 212 m
Step-by-step explanation:
P = 2(150 yards) + 2(92 yards)
P = 300 yards + 184 yards
P = 184 yards
C = 2(3.14) × (28 centimetres)
C = 6.28 × (28 centimetres)
C = 175.84 centimetres
P = 104 m + 32 m + 76 m
P = 212 m
Select the correct answer.
A parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
f(x) = -x2 + 2x + 5
f(x) = -x2 + x +5
O
f(x)=x²+x-2
Of(x) = x2 – 2x+5
Submit
Answer:
X^2-2x+5 is the answer
Step-by-step explanation:
If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?
Answer:
1.5 hr
Step-by-step explanation:
d = rt
re-arrange to
d/r = t
60 miles / 40 miles/hr = 1.5 hr
Help. What is the aswer?
Answer:
12+6.25pi= 31.63495408 Ft squared
Step-by-step explanation:
Area of each individual triangle is 3 by 4 by 1/2
Area of each semicircle is 1/2 2.5 ^2 pi
The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?
6m+12=42
Answer:
5
Step-by-step explanation:
Solve the equation first for "m"
6m + 12 = 42
6m = 30 (subtract 12)
m = 5 (Divide by 6)
5 is your answer
Hope this help! Please mark me brainliest, it helps!
Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1
I think it's an= 13.5 - 2.5n
[tex]a_n=13.5-2.5n[/tex]
Step-by-step explanation:[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]
[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]
[tex]=-2.5[/tex]
[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]
[tex]so\ a_n=a_1+d(n-1)[/tex]
[tex]=11-2.5(n-1)[/tex]
[tex]=13.5-2.5n[/tex]
[tex]The\ answer:a_n=13.5-2.5n[/tex]
I hope this helps you
:)
Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
II. A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken, and 78 of those selected plan to vote for the incumbent candidate. Construct a 90% confidence interval for the proportion of all voters who plan to vote for the incumbent candidate.
a
(0.02709, 0.09291)
b
(0.4529, 0.5871)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology
Answer:
see attached
Step-by-step explanation:
The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.
__
a.The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...
(p=q)∧(q=p)
is equivalent to
(p=q)∧(p=q)
We know that the And of p with itself is just p, so that fact ensures the truth of ...
(p=q)∧(p=q) = (p=q)
Hence
(p=q)∧(q=p) = (p=q)
The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.
__
b.The attached truth table shows that the given relation is not a tautology.
Help picture below problem 6
Answer:
i think that B..is a right answer
Answer:
An octagon is a polygon with eight sides.
Step-by-step explanation:
Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.
A stop-sign is an examle of an octagon.
Hope that helps!
For each table, determine whether the relationship shows a linear function. If
so, write the function.
X
1
y
b) 1
c)
y
y
1
9
O
3.2
1
O
4.2
2
4
5.2
3
8
6.2
4
16
7.2
5
24
2345
6303
-3
246
2
4
6
8
Step-by-step explanation:
7.2
5
24
2345
6303
-3
2467.2
5
24
2345
6303
-3
246
The linear function is given by table B and the equation y = ( 1/2 )x + 3.2
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
Let the x values be x = { 0 , 2 , 4 , 6 , 8 }
Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }
Now , the equation of line is y - y₁ = m ( x - x₁ )
where m is the slope
m = ( 4.2 - 3.2 ) / ( 2 - 0 )
m = 1/2
On simplifying , we get
y - 3.2 = ( 1/2 ) ( x - 0 )
Adding 3.2 on both sides , we get
y = ( 1/2 )x + 3.2
Hence , the linear function is y = ( 1/2 )x + 3.2
To learn more about linear equations click :
https://brainly.com/question/10185505
#SPJ7
Please help ASAP I need an answer now!
Answer:
Final answer -
Area of paperboard = [tex]565.92 \: inches {}^{2} [/tex]
hope helpful :D
how many real numbers solutions does the equation have
Answer:
this would be 2
Step-by-step explanation:
The line L passes through the points (5, -5) and (1, 2).
Find the gradient of line L.
gradient of L = -7/4
Explanation:
[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Insert the following values.
[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]
[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]
[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]
Use the slope formula:-
(the slope is the same as the gradient)
[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]
[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.
Find midpoint coordinates:
[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]
[tex]\hookrightarrow \sf (1, \ 3)[/tex]
Find the gradient of MN:
[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]
[tex]\dashrightarrow \sf -2[/tex]
slope of perpendicular bisector:
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
Equation:
[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Answer:
[tex]y=\dfrac12x+\dfrac52[/tex]
Step-by-step explanation:
M = (-1, 7)
N = (3, -1)
[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line perpendicular to MN is:
[tex]\sf \implies -2 \times m=-1[/tex]
[tex]\sf \implies m=\dfrac12[/tex]
If the line bisects the line MN, it will intersect it at the midpoint of MN:
[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]
Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=\dfrac12(x-1)[/tex]
[tex]\implies y=\dfrac12x+\dfrac52[/tex]
Please help me with this question im really confused on it (please show work)
Answer:
SA = 434 ft^2
Step-by-step explanation:
We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.
length - L
width - W
height - H
surface area - SA
H = 8 ft
L = 14 ft
W = 7 ft
To calculate the area of each side or surface of the shed,
since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.
Surface area:
SA = 2 × (W×H + L×H) + L×W
SA = 2 × (7×8 + 14×8) + 14×7
SA = 434 ft^2
Evaluate the expression r3 + 4r2 s for r = – 3 and s = 2.
Answer:
Sorry if I did wrong..I tried my best
Step-by-step explanation:
-3×3+4×-3×2
-9-12×2
-21×2
-42 ans
An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.
c=30p
$450
Step-by-step explanation:Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.
Writing the Equation
As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.
This creates the equation C=30pSolving the Equation
To solve the equation for 15 people, plug 15 in for p.
C=30(15)Then, multiply out to solve
C=$450given sin0= 2/3 and angle 0 is in quadrant 2, what is the exact value of cos0 in simplest form? simplify all radicals if needed
Answer: ( -[tex]\sqrt{5}[/tex] / 3)
Step-by-step explanation:
sin(angle) = opposite/hypotenuse
opposite =2
hypotenuse = 3
solve for adjacent side with pythagorean theorum
opposite^2 + adjacent^2 = hypotenuse^2
2^2 + adjacent^2 = 3^2
4 + adjacent^2 = 9
adjacent^2 = 9 - 4
adjacent^2 = 5
adjacent = [tex]\sqrt{5}[/tex]
-[tex]\sqrt{5}[/tex] since it is in the second quadrant
cosx = (adjacent/hypotenuse)
cosx = (-[tex]\sqrt{5}[/tex]/3)
(-[tex]\sqrt{5}[/tex]/3)
Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid for
Answer:
$933.12
Step-by-step explanation:
So 20% of $1,080 is 216.
1080 - 216 is 864
8% of 864 is 69.12
864 + 69.12 would be $933.12
a plane traveled 1hr and 20 min why coming back it use 80 min why?
this is a challenge guys let's do it
Answer:
one hour have 60 minutes and the plane took one hour and 20 minutes so total it used 80 minutes
Between which two consecutive whole number is V67 located? NEED HELP PLEASE
Answer:
betweennnnnnn 8 and 9!!! :)
6. Which is the BEST estimate of 2.4679+7.4939? A)O5.5
B)4 x 5
C)6x6
D)5x 6
Answer:
A
Step-by-step explanation:
It because I think it is the correct
a number d is decreased by 5 and then doubled
The hexagon shown is divided into 4 triangles and a rectangle.
What is the area of the hexagon in square centimeters?
Answer: My good friend this answer is 222.4 because if you take the 16 cm and the 13.9 cm and mulitply the you will get 222.4 and thank you for chosing me.
Step-by-step explanation:
2. When plotting a point on a coordinate grid using an ordered pair, the
first number tells you to go up.
O True
False
Explanation:
Any point is of the form (x,y)
The first coordinate is x which tells us to go either left or right depending on whether x is negative or positive.
Example: (-2,3) means we go left 2 units
Another example: (5,7) means we go to the right 5 units.
The starting point is the origin where the x and y axis meet up.
Answer:
False
Step-by-step explanation:
A student wants to interview students about their favorite sport. The students asks 50 people who play a sport for the school. Is this an example of a random sample or a biased sample?
A
Random sample
B
Biased sample
Answer:
Random
Step-by-step explanation:
José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?
Answer:
Definitely not
Step-by-step explanation:
60*45 = 2700 and 2700 square inches converted into feet is 225 square feet
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j
[tex]6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o[/tex]