Write an equation of the parabola in vertex form
Answer:
y = -1/9(x - 3) + 1.
Step-by-step explanation:
THe vertex is at (3, 1) so we can write:
y = a(x - 3)^2 + 1 where a is a constant.
Now the point 1, 5/9) is on the parabola so:
5/9 = a(1 - 3)^2 + 1
5/9 = 4a + 1
4a = 5/9 - 1 = -4/9 so
a = -4/9 / 4
a = -1/9
So the equation is y = -1/9(x - 3) + 1.
I need help with math problem: 5(2x+6)
Hey there!
5(2x + 6)
= 5(2x) + 5(6)
= 10x + 30
Answer: 10x + 30 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
10x + 30
Step-by-step explanation:
When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.
5(2x) + 5(6)
Then we just multiply
10x + 30
Because we do not know the value of "x" we will leave it like this.
Hope it was helpful ;)
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
use the information in the diagram to determine the height of the tree. the diagram is not to scale.
Answer:
seventy five ft
Step-by-step explanation:
Please help im confused
Answer:
The third one
Step-by-step explanation:
Since this is looking down on the cubes from above, I feel it is safe to assume that it is the third one.
From left to right, top to bottom:
3, 2, 2
2, 2, 1
2, 2, 1
We can see that all but 3 layers are 2 blocks high. The 3 block area is the top left corner, since it is 1 block higher than the 2 block areas, and the 1 block areas are the middle right and the bottom right areas.
Can anyone help plz and thx
Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2
it will be A
Step-by-step explanation:
because it adds up to 3:10
the question is in the picture, pls help quick
Answer:
please search it up bc i dont know the answer
Step-by-step explanation:
Which values are solutions of the inequality 5 < y - 8? 8, 9, 13, 15, and 20. I could really use some help! :)
Answer:
15 and 20
Step-by-step explanation:
8-8 is not greater than 5
9-8 is not greater
13 -8 is 5, but not greater
Can I get the answer please ?
Write 9.25% as a fraction in simplest form. :) plz
Answer:
37/400
Step-by-step explanation:
Sorry if I'm wrong UwU
The 9.25% as a fraction in simplest form is 37/400 after simplifying the 9.25%.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
9.25%
We have to write the 9.25% as fraction in the simplest form.
= 9.25%
= 9.25/100
= 0.0925
= 925/10000
= 37/400
Thus, the 9.25% as a fraction in simplest form is 37/400 after simplifying the 9.25%.
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I need help rlly fast if you know how to do this pls help me
Answer:A,B, and D
Step-by-step explanation:
Find the length of each side
The triangle is equilateral, so all sides are equal.
4x = 3x + 2
x = 2
4x = 8
All sides measure 8 units.
Is 24a+16b+8 equivalent to 4(6a+2) +8b+ 2
Answer:
No
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The manager of a supermarket records the waiting times of 100 customers.
He wishes to calculate an estimate for the mean waiting time.
He draws this table.
Waiting Time
Number of
Midpoint (x)
fx
(minutes)
customers (0)
0-
0.5
5
2.5
1 -
1.5
28
42
2 -
2.5
32
80
3.5
26
91
3-
4-5
4.5
9
40.5
100
256
a) Complete the table.
b) Calculate an estimate for the mean. (I JUST NEED HELP ON B)
Answer:
2.56
Step-by-step explanation:
you add all the columns up to get an answer of 256 and divide it by 100=2.56
Answer:
2.4
Step-by-step explanation:
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = −0.3x + 6 and p = 0.05x + 2.5
equilibrium quantity
units
equilibrium price $
9514 1404 393
Answer:
(x, p) = (10, 3)
Step-by-step explanation:
Equating the expressions for p, we have ...
-0.3x +6 = 0.05x +2.5
3.5 = 0.35x . . . . . add 0.3x-2.5
10 = x . . . . . . . . . . divide by 0.35
p = -0.3(10) +6 = 3
The equilibrium quantity is 10 units.
The equilibrium price is $3.
Which equation represents a parabola?
O 4x2 – 2x + 3y2– y + 1 = 0
O x2 + x - 2y2 – 4y + 2 = 0
0 -3x + 4y2 – 2y + 6 = 0
O 2x2 + y2 – 4y + 6 = 0
Answer:
C on edge
Step-by-step explanation:
Only equation of the 4 that makes a parabola
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
What is a Parabola?
A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Finding the suitable equation:It is symmetric about the y-axis, which is an axis of symmetry.
So,
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
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A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
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State the name of the property illustrated below.
(23+ 8) + 5 = 23+ (8 + 5)
What property is used
Answer:
Step-by-step explanation:
This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.
3x + 5 – x + 3(x + 2).
2,894 times 3 show your work
The function f(x) = x^2 is an even function.
Answer:
..................
Step-by-step explanation:
................................
14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
what is the me big of fraction
Answer:
me big of fraction? what is that? :(
Step-by-step explanation:
Which of the following is a right triangle?
A.
a triangle with sides measuring 13, 15, and 19
B.
a triangle with sides measuring 17, 25, and 36
C.
a triangle with sides measuring 20, 21, and 29
D.
a triangle with sides measuring 18, 23, and 41
Answer:
Step-by-step explanation:
the right choice is C
you use c^2=a^2+b^2
where the largest side is the hypotenuse
Answer:
C.
a triangle with sides measuring 20, 21, and 29
Step-by-step explanation:
As, √(20)²+(21)² = √400+441 = √841 = 29
The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=√b²+p² )
Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.
A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
Answer:
A
Step-by-step explanation:
Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.
What is AA similarity criterion?According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."
According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.
Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.
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For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope-intercept equation for graph a: y = -x + 1
standard-form equation for graph a: x + y = 1
:::::
Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2
Slope-intercept equation for graph b: y = 2x-2
Standard form: 2x-y = 2
About how many classmates was Marco able to interview in the beginning of the week
what is the quotient of x^3+11x^2+26x+16÷x+1
Answer:
x²+x+1
Step-by-step explanation:
I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.
The easiest method is synthetic division.
if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
500 divided by 3 is 15. 15 times 5 is $75