Given:
The equation is:
[tex]x^2-10x=7[/tex]
To find:
The number that should be added to sides of the equation to complete the square.
Solution:
If an expression is in the form of [tex]x^2+bx[/tex], then we have to add [tex]\left(\dfrac{b}{2}\right)^2[/tex] to make it perfect square.
We have,
[tex]x^2-10x=7[/tex] ...(i)
To make it perfect square we need to add square of half of coefficient of x on both sides.
Coefficient of x is -10, so square of half of coefficient of x is:
[tex]\left(\dfrac{-10}{2}\right)^2=(-5)^2[/tex]
[tex]\left(\dfrac{-10}{2}\right)^2=25[/tex]
On adding 25 on both sides of (i), we get
[tex]x^2-10x+25=7+25[/tex]
[tex](x-5)^2=32[/tex]
Therefore, we need to add 25 to both sides of the equation to complete the square.
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
Are angles 1 and angle 4 vertical? Are angles 3 and angle 5 vertical?
Answer:
All of them are not vertical angles.
Step-by-step explanation:
Because they are not directly vertical from each other.
Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
What is the area of the trapezoid below?
Answer:
Step-by-step explanation:
Answer:
The answer is 34.5cm2. (don't blame meh if wrong)
Step-by-step explanation:
Step 1: Find the area of the square; 4.6 x 3.2 = 14.72
Step 2: Find the bottom length to find the area of the triangle; 7.5 - 3.2 = 4.3
Step 3: Find the area of the triangle; 4.3 x 4.6 = 19.78
Step 4: Add the area of the square to the area of the triangle; 14.72 + 19.78 = 34.5
Is 3:5 and 5:7 equivalent
Ratios
Answer:
no its not equal
how many ounces is 13 lbs?
Answer:
208 oz
Step-by-step explanation:
So do 16x13=208
13 lbs=208 oz
brainliest pls?
Answer:
its 208 ounces
solve (x+5) 3/2 = (x-1)^3
suma de letras y numeros
6;10;14
find the next two terms of the sequence
Answer:
18
Step-by-step explanation:
Add 4
Answer: 18;22
Step-by-step explanation:
Let's start by finding the common difference.
10-6=4
14-10=4
The common difference is 4 meaning to get to the next numbers we must add 4.
6+4=10
10+4=14
14+4=18
18+4=22
If p= 2q^3-1, what is the value of q when p is 13
a) ∛6
b) ∛7
c) ∛14/2
d) 4393
PLS HELP QUICKLY OMG TYSM
Answer:
b) ∛7
Step-by-step explanation:
If p= 2q^3 - 1, what is the value of q when p is 13
Hence:
13 = 2q³ - 1
We add 1 to both sides
13 + 1 = 2q³ - 1 + 1
14 = 2q³
We divide both sides by 2
14/2 = 2q³/2
7 = q³
q³ = 7
We take the cube root of both sides
∛q³ = ∛7
q = ∛7
Option b is the correct option
Evaluate the expression when g=7 and h=32.
H+35 over g
Answer:
67/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
g = 7
h = 32
(h + 35)/g
Step 2: Evaluate
Substitute in variables: (32 + 35)/7(Parenthesis) Add: 67/7Answer:
37
Step-by-step explanation:
h+35/g
Let g=7 and h =32
32+35/7
Divide first
32 +5
Then add
37
The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal? y = 1 / x + 2 y = x^2 + 2
Answer: The value of 'x' is -1.8 where the given equation approximately equal
Step-by-step explanation:
It is given that the value of 'x' lies in the range of -2 to -1.5 and we need to find out the value of 'x' where both the equations become equal
Given set of equations:
[tex]y=\frac{1}{(x+2)}[/tex] .....(1)
[tex]y=x^2+2[/tex] .....(2)
Plugging value of 'y' from equation 2 to equation 1:
[tex]x^2+2=\frac{1}{(x+2)}\\\\x^2+2(x+2)=1\\\\x^3+2x^2+2x+4=1\\\\x^3+2x^2+2x+3=0[/tex]
On solving, the real root comes out to be, x = -1.8
Hence, the value of 'x' is -1.8 where the given equation approximately equal
(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5
Step-by-step explanation:
A circle equation is represented by
[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]
A circle have both terms to the 2nd. degree
The 1st equation, 2nd equation, 4th equation are circles.
A quadratic is represented by
[tex] {x}^{2} + bx + c[/tex]
A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.
The 3rd equation is a quadratic.
The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)
This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.
What is a quadratic function?f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
To learn more about quadratic function refer
https://brainly.com/question/28870194
#SPJ2
Pls help I don’t know how to do this
The right answer is a i think i don't known step by step
Step-by-step explanation:
a
a
PLEASE HELPPPP!!!!!!!!!!!!!!!!!!!!
Answer:
It would be 55,200
Step-by-step explanation:
If she assumes her raise goes up by 5 % each year, her raise i n. 4 years will be 20%. So, 46,000x0.2= 9200. 9200+ 46,000 = 55,200.
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
Which of the following is the graph of y = sin(0.5x)?
D. Edge 2021 :)
Answer:
You did not include the graphs, but I can explain how the graph is and so you can recognize it.
1) for x = 0, y = sin(0) = 0, so the origin (0,0) is part of the graph.
2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.
3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π
That means that the values repeat every 4π interval (which is the same that 720°)
4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).
That means that the function crosses the x-axis at
..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...
5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).
Now you have plenty information to identify the graph.
I also include a graph of the function in the attached pdf file.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
please answer asap (look at picture) please answer both
2y+1 = y+5
Find the value y
Step-by-step explanation:
the value of Y is 4 please mark the brainliest
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Each pair of figures is similar find the missing side I need this fast please
Answer:
hear is explaninaton in attachment
Step-by-step explanation:
x value is 5
find the greatest common factor of 15x^6 and 33x^4y^5
Answer:
3x^4
Step-by-step explanation:
Answer:
495x^10 y^5
Step-by-step explanation:
Please help asap, this is timed!!!!!!
I'll mark brainliest!
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
how do you multiply 4.56 x 1,000
Answer:
bye adding it 1000 times = 4560
Step-by-step explanation:
Write an expression in simplest form that represents the total amount. Suppose you buy 3 shirts that each cost s dollars, a pair of shoes for $50, and jeans for $30. a. 3+80s b. 83s c. s(80s) d. 3s+80
Answer:
d
Step-by-step explanation:
3 shirts that each costs s dollars would be 3s
jeans is $30, pair of shoes is $50, add $30+$50 and you'll end up with $80
so, an expression in the simplest form that represents the total cost would be:
d. 3s+80
The expression in simplest form that represents the total amount is option d. 3s+80.
In order to understand why this is the correct expression, let us break down the given information step-by-step:
1. You buy 3 shirts that each cost s dollars. This implies that since you are buying 3 shirts, the cost of the shirts is 3s dollars.
2. You also buy a pair of shoes for $50. So, the cost of the shoes is $50.
3. Additionally, you buy jeans for $30.
To find the total amount, we need to add up the cost of the shirts, shoes, and jeans together.
The cost of the shirts is 3s dollars.
The cost of the shoes is $50.
The cost of the jeans is $30.
The cost of the shirts (3s) plus the cost of the shoes ($50) plus the cost of the jeans ($30) is: 3s + $50 + $30.
Therefore, the total amount is 3s + $50 + $30.
Since $50 and $30 are constant values, simplifying the expression further yields: 3s + 80.
Hence, the correct expression in simplest form that represents the total amount is option d. 3s + 80.
Learn more about total amount: https://brainly.com/question/30981528
#SPJ11
No links pls. I also need an explanation.
What do x and y equal?
