What does it mean to solve an equation?
Complete the statements.
The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.
is a solution of the equation because 5 = 5 is a true statement.
Answer: y, value of y, 9
Step-by-step explanation:
Answer:
1. Y
2. Value of Y
3. 9
Step-by-step explanation:
This is getting more difficult!
The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation
The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)
How to determine the vertex?The equation is given as:-
[tex]y = x^2 - 8x + 3[/tex]
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
By comparison, we have:
a = 1; b = -8; c = 3
The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = \frac 8{2*1}[/tex]
[tex]x = 4[/tex]
Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]
[tex]y = 4^2 - 8 * 4 + 3[/tex]
[tex]y = -13[/tex]
When x = 2 and 3, we have:
[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]
[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]
When x = 5 and 6, we have:
[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]
[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]
So, the table of values is:
x y
2 -9
3 -12
4 -13
5 -12
6 -9
Read more about quadratic functions at:
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If i have 36 assignments how many should i do a week to have it all done in 6 weeks
25 points
Answer: 6
Step-by-step explanation: 36/6 = 6
Answer:
6
Step-by-step explanation:
[tex]\frac{36}{6}[/tex][tex]=6[/tex]
6x6=36
True or False. The point (7, 5) lies on the circle centered at the origin and containing the point (5, 2). Justify your answer.
Answer:
the center (0.0)
radius length {5
=x^2+y^2=25
6^2+8^2
36+64
100
which is greater than 25
so Itli outside of circle
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A tv is sold for ra 10350 with 15% profit. Find the cp of tv
CP=SP*100÷100+P
so,
CP=10350*100÷100+15
CP=9000
Answer:
solution
Step-by-step explanation:
Let.the cp of TV be RS X
now,CP=SP-profit
or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)
or, x=Rs 10350-15÷100× X
or, x= Rs 10350 _ 3X ÷20
or, x+3x ÷20 =Rs 10350
or, 23x ÷20 = Rs 10350
or, x = 10350×20 divided by 23
Therefore X =Rs 9000
trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?
Help pleaseee i am awful at math
Step-by-step explanation:
answer is B
use unitary method to solve it
The function f(x)=x^2 is graphed on the coordinate grid.
Use the Parabola tool to graph g(x).
g(x)=3x^2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
other points:
x y
-2 12
-1 3
0 0
1 3
2 12
Let's see
g(x)=3x^2Take some cordinates
(0,0)(1,3)(-1,3)(2,12)(-2,12)Graph attached
What are the zeros of the function y=6x^2-11x+3
Evaluate the expression below for x = 2, y=-3, and z=-1.
x2 z2 - y2(x+z)
A. -23
B. -5
C. 13
D. 27
Answer:
It should be B
Step-by-step explanation:
2 2 -1 2 - -3 2 (2+-1)
1. Always do what's in parentheses
so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.
2 2 -1 2 - -3 2 -1
Then get all exponents done.
4 -1 - 9-1
3-9-1
-6-1
Which should give u -5
add (5y - 1) + (-2y + 4) =
Answer:
3(y+1)!
Step-by-step explanation:
Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
B^2-6b+9 b=2 evaluate the expression
Answer:
the answer is 5 :)
Step-by-step explanation:
B^2-6b+9 b=2
2^2-6(2)+9
8-6(2)+9
8-12+9
-4 + 9
=5
Find the length of the darkened arc. leave your answer in terms of
Answer:
a
Step-by-step explanation:
you can split nine into three
Answer:
The answer is A.
Step-by-step explanation:
You gotta split 9 into 3
Question 17/23
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
In diagram below?FG bisects
Answer: 107 degrees
Step-by-step explanation:
A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?
Answer:
32.2 units
Step-by-step explanation:
The length of a line segment can be found from its endpoint coordinates using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040
d ≈ 32.2
The line segment is about 32.2 units long.
The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
We have two points (2, 10) and (18, -18)
From the distance formula:
[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]
[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]
[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]
[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units or
d = 32.25 units
Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
Learn more about the distance formula here:
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Which of the following is most likely the next step in the series? 06 O A. OB. ОС. OD.
is 48,200 in scientific notation?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \:48200[/tex]
[tex]\qquad \sf \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]
find the circumference of circle with radius rcm
Step-by-step explanation:
By definition, pi is equal to c/d, where c is the circumference and d is the diameter.
This means that C = pi(d).
However, since diameter is twice the radius, if we let the radius be r cm, d=2r.
This gives that C=2pi(r).
HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C . (It does not have to be to scale)
Answer:
Answer:
long side/length is 63 cm and short side/height is 28 cm
Step-by-step explanation:
18 x 3.5 and 8 x 3.5
To dilate means to grow so you grow the side by 3.5
How do you find perimeter?
Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.
Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12
Answer:
12
Step-by-step explanation:
have a good day n ily :)
A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its load.
Answer:
3.4 tonnes
Step-by-step explanation:
Kg --> tonnes = / 1000
50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.
The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?
What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Answer:
factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integerStep-by-step explanation:
FactorsA set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:
f1 × f2 × f3 × ... = N
Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.
When N = 25, the prime factors are {5, 5}. That is ...
5×5 = 25
__
DivisorsA "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.
Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.
__
MultiplesFor an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.
Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.
__
Another example
When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....
ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP
Step-by-step explanation:
i answered this one already as well.
I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units
Answer:
28
Step-by-step explanation:
I need 3 1/2 cups of flour to make a birthday cake I only have 1 1/3 cups. How much flour do I still need?
Answer:
2 1/6 cups of flour
Step-by-step explanation:
1. 3 1/2 - 1 1/3
2. = 3 3/6 - 1 2/6
3. = 2 1/6
Geometric series mastery test
Plato/edumentum
Answer:
183
Step-by-step explanation:
it is clearly a geometric sequence.
the common ratio of multiplication factor is -3.
3 × -3 = -9
-9 × -3 = 27
27 × -3 = -81
-81 × -3 = 243
the sum of these first 5 terms is
3 - 9 + 27 - 81 + 243 = 183
FYI - there is a formula to add the first n terms of a geometric sequence :
Sn = a1(1 - r^n)/(1 - r)
if r < 1 (like in our case -3).
in our case
S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183