Answers:
a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.If the value of a is less than zero then the parabola is open downward. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.
a. The y-intercept of the graph is at (0,c). This is incorrect.
b. The graph has an x-intercept at (c,0). This is incorrect.
c. When a < 0 the graph is open downward. This is correct.
d. The graph has two x-intercepts. This is incorrect.
e. If b = 0, then the vertex is on the y-axis. This is incorrect.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family's visit to the aquarium as a function of the number of hours that you are there. Find the total cost of 4 hours at the aquarium
Answer:
Equation: y=$3(x)+$30
Total cost $42
Step-by-step explanation:
Calculation to Find the total cost of 4 hours at the aquarium using this formula
y=mx+b
Where,
y intercept=Total cost
m=$3 per hour
b=$30 Tickets
x=4 hours
Let plug in the formula
First step is to form the equation
y=$3(x)+$30
Second step is to substitute 4 hours for m and b
y=$3(4)+$30
Hence:
y=$12+$30
y=$42
Therefore the equation will be y=$3(x)+$30 while the total cost of 4 hours at the aquarium will be $42
Find out angle x.
(10points)
Answer:
X=166°
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows. - 7, - 3, 1 Find the next two terms of this sequence
Please help
Answer:
5, 9
Step-by-step explanation:
To obtain the next term in a sequence add the common difference d to the previous term.
d = a₂ - a₁ = - 3 - (- 7) = - 3 + 7 = 4
Thus
a₄ = a₃ + 4 = 1 + 4 = 5
a₅ = a₄ + 4 = 5 + 4 = 9
Which expression is equivalent to this one?
Answer:
The answer is 1
A copy machine can print 340 color copies every 8 minutes. Explain or show your reasoning.
A teacher printed 850 copies. How long did it take to print?
Step-by-step explanation:
340=8min
850=?(x)
340x=850×8
340x=6800
x=6800/340
x=20min
so..the teachertook 20 minute to print 850 copies
what is the value of x
Answer:
70°
Step-by-step explanation:
All triangles' angles are added up to 180°
30 + 80 + x = 180
110 + x = 180
x = 180 - 110
x = 70
Answer:
[tex]x = 70[/tex]
Step-by-step explanation:
[tex]x = 180 - (30 + 80)[/tex]
[tex]x = 180 - 110[/tex]
[tex]x = 70[/tex]
to be sure
[tex]70 + 80 + 30 { = }^{?} 180[/tex]
[tex]100 + 80 { = }^{?} 180[/tex]
[tex]180 = 180[/tex]
Henry wants to see how many different colored crayons are in the crayon box.If there are 4 rows of 19 crayons,how many different colors are there?
Answer:
ons are in the crayon box.If there are 4 rows of 19 crayons,
Step-by-step explanation:
Solve for a. √a−b+c=3
a=9+b−c
a=3+√b−√c
a=3+b−c
a=9+√b−√c
The required solution of the given expression is a = 9 + b- c. Option A is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression
√a−b+c=3
Squaring both sides,
a - b + c = 9
Rearrange the equation in order of a,
a = 9 + b - c
Thus, the required solution of the given expression is a = 9 + b - c. Option A is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What is sin 45°?
Lol I need help
Answer:
1/ √2
Step-by-step explanation:
Here, we want to get the value of sin 45
Mathematically the sine is the ratio of the opposite to the hypotenuse
The opposite here is 1 while the hypotenuse is
√2
so the value of sin 45 will be;
1/ √2
What is the answer of the question
Answer:
n - 8 = 20
Step-by-step explanation:
What is the slope of the line that passes throug the points (5,-1) and (-3,3)?
Answer:
negative slope.............
Answer:
c
Step-by-step explanation:
Which expression means 9 less than twice n?
Answer:
9<2n
Step-by-step explanation:
The is answer 9<2n
fgyhujiugytdfyguhijokjohgyiuhojpugjuhiljhjvgijo;jlkbhijlhvjghiovjguhikvkhlkghohgvjyiogiig
A circle has an area of 2290.221. What is the radius? (round to the nearest whole number)
Answer: 27
Step-by-step explanation:
use the formula for the area of circle and solve for r: A=pi r^2
2290.221=pir^2 <---divide by pi
729=r^2 <--- square root both sides
27=r
The area of a rectangular garden is 5828 m
If the width of the garden is 62 m, what is its length?
Answer:
The length of the garden is 94 m.
Step-by-step explanation:
you do 5828 m. divided by 62m. and that is how you get your answer of 94 m.
Answer:
94
Step-by-step explanation:
Area of a rectangle = Length x Width
5828 = L x 62
Length = 5828/62
Length = 94
x/5-1=10
what is x in this equation?
Answer:
x = 55
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
x/5 - 1 = 10
Step 2: Solve for x
Add 1 to both sides: x/5 = 11Multiply 5 on both sides: x = 55Someone please explain
Answer:
C. 16
Step-by-step explanation:
The greatest factor of both 48 and 64 is 16.
8 is also factor, but it is less than 16.
Help will mark brainlist.
1=
2=
3=
4=
I need help please!!!
Answer:
C.-8
Step-by-step explanation:
plug in 2y-4 in x of the second equation meaning 7(2y-4)+5y=-66
multiply and combine like terms then solve for y and you should get -2
then plug in -2 for y in the first equation and you should be able to solve for x
The numbers of bags of crisps sold per day in a general shop was recorded over 13 days.
The results are shown below.
32 45 36 56 45 68 29 48 21 45 32 47 59
In order from smallest to biggest, the results are:
21 39 32 32 36 45 45 45 47 48 56 59 68
The formula for finding out the quartiles didn’t work when I tried it.
I just figured it out so I’ll answer it on this account lol.
Q1 = 32, Q2 = 45, Q3 = 52
Interquartile range = 52 - 32 = 20
Range = 68 - 21 = 47
Help me with this one pls
Data were collected on the following variables. Which variable is LEAST likely to be approximated with a normal model?
A) The distribution of heights of tomato plants growing at an agricultural center, where most heights cluster around the center and there are some very short and very tall heights
B) The distribution of times that a certain brand of house paint lasts on a house, where the distribution is symmetric and bell-shaped
C) The distribution of lengths of the trout living in a certain stream, where the distribution is unimodal and clustered around the center, and the left half is a mirror image of the right half
D) The distribution of weights of mold samples growing in a laboratory, where the distribution is symmetric, unimodal, and does not have any outliers
E) The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left
Answer:
E) The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left
Step-by-step explanation:
Because the distribution is described as having a tail on the right that is longer than the left, it is skewed right and not a normal model.
PLEASEEEE helpppppp !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
answer B would give you an answer of 23.5... not 23 (bc 47/2 is not 23)
HELP ASAPP!! HELP !!
Answer:
4
Step-by-step explanation:
A number c divided by 9 is less than or equal to -23 .
Answer:
c [tex]\leq[/tex] -207
Step-by-step explanation:
Create an inequality and solve for c:
[tex]\frac{c}{9}[/tex] [tex]\leq[/tex] -23
Multiply by 9 on each side:
c [tex]\leq[/tex] -207 is the answer
What is the inverse function of f(x) = x/x-2
9514 1404 393
Answer:
f^-1(x) = 2x/(x -1)
Step-by-step explanation:
You can find the inverse function by solving for y:
[tex]f(y)=x\\\\\dfrac{y}{y-2}=x\\\\x(y-2)=y \qquad\text{multiply by $y-2$}\\\\xy-2x=y \qquad\text{eliminate parentheses}\\\\xy-y=2x \qquad\text{add $2x-y$}\\\\y(x-1)=2x \qquad\text{factor}\\\\y=\dfrac{2x}{x-1} \qquad\text{divide by the coefficient of $y$}\\\\\boxed{f^{-1}(x)=\dfrac{2x}{x-1}} \qquad\text{in functional form}[/tex]
How much are 6 twenty's
Answer:
120
Step-by-step explanation:
Find the value of x...
Answer:
10x+41=[5+-7]+[2x-2]
we move all terms to left 10x+41-[[5x-7+[2x-2]]=0
Step-by-step explanation:
l calculate terms in parentheses
5x+2x-7-2
we add all the numbers together, and 7x-9 back to the equation -7x-9]
we get ride of parentheses 10x-7+9+41=0 we add all the numbers together,and all 3x+50=0
we move all the terms containg x to the left, all other therms to the right 3x=50
x=-50\3
x-50\3
using the graphs below, identify which value of r, the correlation coefficient, best describes the graph
Answer:
You make no sense
Step-by-step explanation:
Answer:
THERE IS NOT A GRAPH
Step-by-step explanation:
How does a reflection across the y-axis change the coordinates of a shape?
Answer:
in (x,y), it becomes (-x,y)
Step-by-step explanation:
-Answer quickly- Simplify the following expression.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
first add 1/7x and 2/9x by using the common denominator of 63
9/63x + 14/63x = 23/63x
and, 3/8 - 1/8 = 2/8 or 1/4