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
(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)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
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)
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.
|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
greatest common factor for 50x^5 and 40x^3
Answer:
[tex]10x^{3}[/tex]
Step-by-step explanation:
hope this helps.
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]
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
-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)☺️)
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]
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! :)
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.
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?
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.
8a +5 = 7b+4 = 5c +2
Answer:
a = 1/4, b = 5c -2
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
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
*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
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
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.
if dane walks 20 feet then walks beack 80. how far did he travel?
Answer:
-20
Step-by-step explanation:
-20
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:
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
Help please I really don’t understand this
Answer:
yea i agree with scorpiowo the asnwer is B
Step-by-step explanation:
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, 14Type 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.^_^
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
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
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%.
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)