The equation of the parabola is gotten as;
y = -4x² + 24x - 32
We are given the coordinates of a parabola to be;
(3, 4) ; (4,0) ; (2,0)
The general form of equation of a parabola is given by;
y = ax² + bx + c
Let's plug in the x and y coordinates as given to us from the question.
For coordinate (3, 4), the equation is;(3²)a + 3b + c = 4
9a + 3b + c = 4 ----(eq 1)
For coordinate (4, 0), the equation is;(4²)a + 4b + c = 0
16a + 4b + c = 0 ----(eq 2)
For coordinate (2, 0), the equation is;(2²)a + 2b + c = 0
4a + 2b + c = 0 ----(eq 3)
Solving the 3 equations using an online simultaneous equation solver tool, we have; a = -4; b = 24; c = -32Plugging these values of a, b and c into the general equation of parabola gives us;y = -4x² + 24x - 32
Read more at; https://brainly.com/question/18437828
Which one is this answer for this can someone help me pzl
Answer:
66
Step-by-step explanation:
The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)
The size of a white tablet is 0.000005 m and that of a red tablet is 0.0000275 m.Find their ratios and Compare their sizes
A ratio will just be trying to find whole number versions of these decimals and then compare them side by side (always divide the larger number by the smaller number).
Therefore:
[tex]\frac{0.0000275}{0.000005}=5.5=\frac{5.5}{1}[/tex]
However, this isn't a proper ratio. Generally, ratios are whole numbers. Since it's 5.5, we can easily make this a whole number by multiplying it by 2. Keep in mind though, what we do to one number we do to the other! So:
[tex]\frac{2}{2}(\frac{5.5}{1})=\frac{2*5.5}{2*1}=\frac{11}{2}[/tex], technically this is a better format since it's whole numbers, but it gives you the ratio (11:2) which is a bit tougher to interpret than (5.5:1)
Therefore, the ratio we'll use is 5.5:1 for simplicity's sake:
From this ratio, we can see that the red tablet is 5.5x the size of the white tablet.
Hope this helps! :)
Type the correct answer in each box.
The value of x is ___°, and the value of y is ___°.
Answer:
The value of x is 60°, and the value of y is 50°.
Step-by-step explanation:
50°+70°+x°=180°
x=180°-120°
x=60°
similarly the angle on the left side of x will be
70°
All these angles form 180°(linear pair)
hence, 70°+60°+y°=180°
130°+y°=180°
y°=180° - 130°
y°=50°
Hope this helps you. Have a nice day. Please amrk as braiiest. It helps a lot.^_^
How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 – 4y2 + 4x – 8y +4= 0
3x2 + y2 + 4x – 3y +4= 0
A.0
B. 1
C. 3
D.4
The point of intersection is the point where two or more functions meet.
The graphs of the hyperbola and ellipse have 0 point of intersection
The given parameters are:
[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]
To determine the points of intersection, we simply equate both equations.
So, we have:
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]
Cancel out the common terms
[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]
Collect like terms
[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]
[tex]\mathbf{5y^2= - 5y }[/tex]
Divide through by 5
[tex]\mathbf{y^2= - y}[/tex]
Divide through by y
[tex]\mathbf{y= -1}[/tex]
The system of equation does not give room to calculate the x-coordinate at the x-axis.
Hence, the graphs of the hyperbola and ellipse have 0 point of intersection
Read more about points of intersection at:
https://brainly.com/question/13373561
Answer: 0
Explanation: Took the test
greatest common factor for 50x^5 and 40x^3
Answer:
[tex]10x^{3}[/tex]
Step-by-step explanation:
hope this helps.
|8w+5|=21
please show work
Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
how would you prefer to see your quiz score,as a fraction or as a percent? Explain. (what would you choose and why?)
For me, a percent is easier to think about. Knowing I scored 80% make sense. 80%, like 80¢ out of a dollar, makes sense and I can relate to it.
If you tell me I scored 52/65, I can't relate to that as easily, even though that's still 80%.
A rectangle's length is four-fifths its width. The
perimeter is ten less than 5 times its width.
What is the area of the rectangle?
-x³-x²+5x-3 find each polynomial by degree and number of terms
Answer:
- (x-1)^2 x (x+3) is correct ans
Step-by-step explanation:
rewrite the expression
-x^3 - x^2 + 5x - 3
factor the expressions
x^3 + x^2 -2x^2 +2x=3x-3
factor the expression
-x^2 x (x-1)-2x x (x-1) +3 (x-1)
rewrite the expression
-(x-1) x (x^2 + 2x-3)
rewrite
-(x-1) x (x^2 + 3x - x - 3)
factor the expression
-(x-1) x (x^2+2x-3)
factor the expression
-(x-1) x (x x(x+3)-(x+3)
write in exponential form
-(x-1) x (x+3) x (x-1)
solution:
-(x-1)^2 x (x+3)
(Hope this helps can I pls have brainlist (crown)☺️)
Are these polygons congruent?
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
yes
no
Answer:
Yes. Remember that congruent means same shape and the size of length.
Step-by-step explanation:
Flip the second model and jt will be the same as the first. Congruence is that.
Answer:
Yes
Step-by-step explanation:
The borders are congruent by measure
Help please I really don’t understand this
Answer:
yea i agree with scorpiowo the asnwer is B
Step-by-step explanation:
8a +5 = 7b+4 = 5c +2
Answer:
a = 1/4, b = 5c -2
the same 4 friends buy tickets for two shows on consecutive nights. they use a coupon for $5 off each ticket. they pay a total of 416 for 8 tickets. write and solve an equation to find the orginal price of the tickets.
Answer:
416 i guess
Step-by-step explanation:
True or false: f(x) is a function.
0,5,10,15
0,1,2,3
Answer:
False.
Step-by-step explanation:
No f(x) is not a function because it is a one-to-many relation
Note that 5 maps to 1 and 3 so this is not a function.
What is the answer to this question
Answer:
2118/12681
Step-by-step explanation:
Number of students absent in high school/Total number of students in high school
2118/12681
select all the pieces of the triangle that are marked as congruent in the following picture
Answer:
C. D. E. is the correct answer.
Step-by-step explanation:
Hope this helps you. Have a nice day. If you have doubt then please ask in comments.
Please mark as brainliest. It helps a lot.
Answer:
M = C
BC = LM
B = L
Step-by-step explanation:
We can see that there are double lines between BC and LM, and a triple line curves at Angle B and Angle L.
We can conclude that:
A = K
B = L
C = M
C = K (NO)
BA = MK (NO)
M = C (YES)
BC = LM (YES)
B = L (YES)
*25 points* an someone pls tell me how many solutions this equation have
Answer:
infinite number of solutions
Step-by-step explanation:
4(z - 5) + 2 = 4z - 18 ← distribute and simplify left side
4z - 20 + 2 = 4z - 18
4z - 18 = 4z - 18 , which reduces to
0 = 0 ← a true statement
This indicates the equation has an infinite number of solutions
if dane walks 20 feet then walks beack 80. how far did he travel?
Answer:
-20
Step-by-step explanation:
-20
is 2.346982105 an irracional number?
Answer:
Step-by-step explanation:
Yes. because In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers
Answer:
yes
Step-by-step explanation:
Irrational numbers are numbers that simply are not rational, and cannot be written as a fraction, though they cna be written as a decimal. Irrational numbers msot of the time have a lnog row of non-repeating numbers after the decimal. So, yes.
2.346982105 is an irracional number
what is the square root of pie?
Answer:
1.77
Step-by-step explanation:
The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.
Answer:
the square root of pie is 1.77245385091
or just 1.77
My tomato plant grows 5/4 inches per month. How many months will it take for my plant to grow 45/16 inches?
Answer:
9 months
Step-by-step explanation:
its will be 9 months because 9*5 is equal to 45.
please help me with some of these
find the value of each trigonometric ratio. Express in fractions in lowest terms
Answer:
Step-by-step explanation:
[tex]1) Sin \ C = \dfrac{opposite side of C}{Hypotenuse}=\dfrac{21}{29}\\\\2)Sin \ C = \dfrac{30}{50}=\dfrac{3}{5}\\\\3) Cos \ C = \dfrac{adjacent \ side \ of \ C}{hypotenuse}=\dfrac{36}{39}=\dfrac{12}{13}\\\\4) Cos \ C =\dfrac{8}{17}[/tex]
HELP ME PLEASE PLEASE PLEASE
Answer:
See belowStep-by-step explanation:
A → Rational function = function with rational variablesB → Rational equation = equation with rational variablesC → Rational inequality = inequality with rational variablesD → None of these = variables with rootsGrouped as following:
A ⇒ 4, 5, 13B ⇒ 1, 2, 8, 11, 15C ⇒ 3, 6, 12D ⇒ 7, 9, 10, 14(6x^2 + 34x + 25)/(x+5)
Answer:
divided: 6x+4+(5)/(x+5)
the remainder: 5
I like to use long division to work these problems:
6x + 4
(x+5) ║ (6x² + 34x + 25)
- (6x + 30x) ↓
4x + 25
- (4 x + 20)
5
(6x^2 + 34x + 25)/(x+5) = 6x + 4 with a remainder of 5
⇒ (6x² + 34x + 25)/(x+5) = 6x + 4 + (⁵/ₓ ₊ ₅)Which of these tables is a non linear function
Answer:
C
Step-by-step explanation:
Because on all the graphs all the numbers on the Y side are essentially adding one. With the 3rd graph, it goes from 17 to 19, skipping 18. Therefore it is not linear.
is V 10 greater than, less than, or equal to 5? Explain.
Answer:
Step-by-step explanation:
It's less than because if u use the calculator with√10 it will show 3.162277660168 which is less than 5
look at the image and solve please
Correct answer: [tex]b = \frac{2A}{h}[/tex], first option.
[tex]A=\frac{bh}{2}[/tex]
[tex]2*A=\frac{bh}{2}*2[/tex] | multiply both sides by 2, 2's cancel out on the right.
[tex]2A=bh[/tex]
[tex]\frac{2A}{h} =\frac{bh}{h}[/tex] | divide h on both sides, h's cancel out on the right
[tex]b = \frac{2A}{h}[/tex]
Write the standard form of the equation.
y = x + 3
If someone could also explain how to get the answer that would be great, but you dont have to
Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."
What is Peter's number?
Peter's number is
Answer:
4 is the number
Step-by-step explanation:
(17-x)(-2)=-26
-34+2x=-26
2x=-26+34
2x=8
x=8/2
=4
I only need help with the circled ones
Answer:
9. ⅓
12. 1/12
15. 4/25
bye
Step-by-step explanation:
9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).
12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)
15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .
hope this helps you.