1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.
simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
What is simplification?Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Given that, simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
1) 2(y-1) / 3 - 3(y-2) / 4 = 1
Multiplying by 12 to both sides,
8(y-1) - 9(y-2) = 12
8y-8 - 9y+18 = 12
-y + 10 = 12
y = -2
2) 3x = 44 / 5 = 2x+6
3x = 44 / 5
Multiplying by 5 to both sides,
15x = 44
x = 44 / 15
or,
44 / 5 = 2x + 6
Multiplying by 5 to both sides,
44 = 10x + 30
14 = 10x
x = 7 / 5
Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
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What is the domain of the function y=3[x?
-0
O 0
0 0
01
The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.
The domain of the function is the set of all real numbers for which the function is defined.
As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.
Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
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The domain of y = √√√x-5-1 is
DONE
3 of 8
P
10
1000
098
7
6
5
4
3
12
y
2
19
Ð
6
8x
The function domain is X≥5 Or in interval notation [5, ∞)
What is Domain definition?The domain of a function is the set of input or argument values for which the function is real and definedThe domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limitedIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the functionFind non-negative values for radicals x≥5solve x-5≥0:x≥5 function domain is X≥5 Or in interval notation [5, ∞)To learn more about Domain definition refers to:
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Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child.. Like fr unless you want to get reported ;) but ty for the ones who help!! :)
Answer:
3,000,000
Step-by-step explanation:
help i am super confused! this is for algebra 1 please help asap
Answer:
Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.
Step-by-step explanation:
This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct
Sorry I cannot help more than that! :(
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.
Priscilla has 4.3*10^8 strands of hair on her head. Diego has 8.7*10^5 strands of hair on his head. How many more strands of hair does Priscilla have than Diego? Express your answer in scientific notation.
====================================================
Work Shown:
4.3*10^8 = 4.3 * 10^(3+5)
4.3*10^8 = 4.3 * 10^3*10^5
4.3*10^8 = 4.3*1000*10^5
4.3*10^8 = 4300*10^5
Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3
Then tack on the "*10^5" portion to get 4291.3*10^5
The difference in the number of strands is 4291.3*10^5
Convert this to scientific notation to get the final answer.
4291.3*10^5 = (4291.3)*10^5
4291.3*10^5 = (4.2913 * 1000)*10^5
4291.3*10^5 = 4.2913 * 1000*10^5
4291.3*10^5 = 4.2913 * 10^3*10^5
4291.3*10^5 = 4.2913 * 10^(3+5)
4291.3*10^5 = 4.2913 * 10^8
Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.
Simplify 10 1/2(1 1/7x+2/3)+5 5/6(2 2/5x+4 2/7)
Answer:
26x+32
Step-by-step explanation:
A lawn sprinkler can spray up to 20 feet. If it sprays in a circular pattern, what is the approximate area in square feet watered by the sprinkler?
Answer:
1256.64 square feet
Step-by-step explanation:
In this situation, 20 feet is the radius of the circle that is sprayed.
Use the area formula, A = [tex]\pi[/tex]r²
Plug in 20 as the radius and solve:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](20)²
A = 400[tex]\pi[/tex]
This is approximately equivalent to 1256.64
So, the approximate area watered by the sprinkler is 1256.64 square feet
A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds. What is the most he can bench press.
Answer:
342
Step-by-step explanation:
that dude strong
The most he can bench press is 342.
What is the most he can bench press?Given: A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds.
Based on the given conditions, formulate:
Convert 180 % into a decimal and multiply by 190
Convert 180 % into a decimal form: 1.8
Multiply 1.8 by 190
Simplify 1.8 [tex]\times[/tex] 190
= 342
Calculate the product or quotient: 342
The most he can bench press is 342.
The correct answer is 342.
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numbers divisible by 5
please give me at least 6
Answer:
5,10,25,30,35,30,35,40...
Step-by-step explanation:
Multiples of 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
5,10,15,20,25,30,35,40,45.....
Step-by-step explanation:
just multiply 5 by consecutive natural numbers
plz mark as brainliest
I know the answer is -2 but I need to show my work on how I got it
Answer:
-2
Step-by-step explanation:
6x + 10 = 1x
Subtract 6x from both sides.
10 = -5x
------------ Divide by -5
-5
-2 = x
6x + 10 = 1x
Subtract 10 from both sides
6x + 10 (-10)= 1x (-10)
6x =1x - 10
Subtract 1x from both sides
6x (-x) = 1x (-x) - 10
5x = -10
Divide both sides by 5
5x (/5) = -10 (/5)
x = -2
Hope that helps :)
Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the
polynomial x
x2 − x − 12.
Given:
The given quadratic polynomial is :
[tex]x^2-x-12[/tex]
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
[tex]x^2-x-12[/tex]
Equate the polynomial with 0 to find the zeroes.
[tex]x^2-x-12=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x+3x-12=0[/tex]
[tex]x(x-4)+3(x-4)=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x=-3,4[/tex]
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]
[tex]x^2-(3+(-4))x+(3)(-4)[/tex]
[tex]x^2-(-1)x+(-12)[/tex]
[tex]x^2+x-12[/tex]
Therefore, the required polynomial is [tex]x^2+x-12[/tex].
Marion compared the y-intercept of the function f(x) shown in the table below to the y-intercept of the function g(x) graphed below
What is the distance between the y-intercept of f(x) and g(x)
Answer:
difference is 12 units
Step-by-step explanation:
line shown has a y-intercept of -4
now find y-intercept of f(x) by first finding its slope:
(-2,0) and (2,-32)
m = (0+32)/(-2-2)
m = 32/-4
m = -8 (slope)
Now find the y-intercept (or 'b') from substituting into 'y=mx+b':
0 = (-2)(-8) + b
0 = 16 + b
-16 = b (y-intercept)
-16 - (-4) = -12
A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?
Answer:
[tex]y=6x-4[/tex]
Step-by-step explanation:
First we have to know how to write a equation in Slope-Intercept Form!
Slope-Intercept Form: [tex]y=mx+b[/tex]
where y = y axis, m = slope, x = x intercept and b = y-intercept
Now start by solving the slope
To find the Slope, you must find two points
Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]
Then use the Slope-Formula to identify the slope
[tex]m=slope[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2--4}{1-0}[/tex]
[tex]m=\frac{6}{1}[/tex]
[tex]m=6[/tex]
The Slope is 6
The y-intercept is already given by the point (0, -4)
Note: (this goes to this situation because the point has a 0 of x intercept)
doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"
please help me with this
9514 1404 393
Answer:
51.63 m²
Step-by-step explanation:
The relevant area formulas are ...
A = πr² . . . . . area of a full circle of radius r
A = LW . . . . area of a rectangle of length L and width W
A = 1/2bh . . . area of a triangle with base b and height h
__
The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...
A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)
A = (14.13 +30 +7.5) m² = 51.63 m²
The area of the figure is about 51.63 m².
Similar:
Similarity Statement:
Scale Factor:
Please help, NO LINKS
Answer:
No similarity and no scale factor (I could be wrong)
Step-by-step explanation:
Don't worry, no links :)
You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.
15 points...................................
Answer: D
Step-by-step explanation:
The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.
That way, we just need to see which diagram has the right measurements.
First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.
So it must be the angles with letters of I and R that have the same markings.
A : doesn't work for I and R
B : doesn't work for I and R
C : doesn't work for I and R
D : works for I and R
it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)
Answer:
the answer would be D
Step-by-step explanation:
the answer is D because of the person above me
SA triangle has side lengths of 11, 60, and 61. When using the converse of the Pythagorean theorem to determine if this is a right triangle, what is the value of c in the formula a² +b²=c²?
61
11
11²
60
Value of c is determined 61 unit.
What is right-angled triangle?
Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.
what is the value of c in the above formula?
SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.
The triangle is verified as a right-angled triangle by Pythagorean theorem.
And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.
if we say, one side length, a = 11 unit
second side length, b = 60 unit
the largest side length, c
now we will check,
√(11²+60²) = c² =√3721 = 61
the value of c = 61 unit.
hence, the SA is right-angled triangle.
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PLZ HELP ASAP!!!
I need help with part a and b
Answer:
ok so 4x-4y=8
4x-4×8=
4x-32
4x-10-32=
-40 -32= -72
Step-by-step explanation:
I think this is right sorry if I'm wrong
Answer:
We need to keep y on the left side only.
so we distribute the 4x to the right side.
that means:
4x - 4y = 8
-4x -4x
-4y = 8 - 4x
Now we divide by -4 on both sides
y = 8 - 4x/-4
-2 + x is y
Now for number 2:
Let's use -10 for x.
-2 -10 = -12
How do you factorise α²-b²
Answer:
this is perfect square a-bDariu ha a 40-ounce port drink. He drink 18 ounce. Enter the percentage of ounce Dariu ha left of hi port drink
The percentage of ounce Dariu has left of his port drink is 55%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
It is given that Dariu ha a 40-ounce port drink.
He drank 18-ounce port drink.
First calculate what percentage of port drink Dariu drank.
The equation is -
= (18/40) × 100
= 45%
So, Dariu drank 45% of the port Drink.
Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -
100 - 45 = 55
Therefore, Dariu has 55% drink left.
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(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.
A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.
We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.
First we construct a table which contains the values of slope.
Consider given differential equation dy/dx = xy/2
where -1 ≤ x ≤ 1,
1 ≤ y ≤ 3
Let the slope be m
so, dy/dx = m
For x = -1, y = 1
m = (-1 × 1)/2
= -1/2
For x = -1, y = 2
m = (-1 × 2)/2
= -1
For x = -1, y = 3
m = (-1 × 3)/2
= -3/2
For x = 0, y = 1
m = (0 × 1)/2
= 0
For x = 0, y =2
m = (0 × 2)/2
= 0
For x = 0, y = 3
m = (0 × 1)/2
= 0
For x = 1, y = 1
m = (1 × 1)/2
= 1/2
For x = 1, y = 2
m = (1 × 2)/2
= 1
For x = 1, y = 3
m = (1 × 3)/2
= 3/2
So, the table is:
x/y 1 2 3
-1 -1/2 -1 -3/2
0 0 0 0
1 1/2 1 3/2
Therefore, the slope field is as shown below.
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HELP THIS IS MY LAST PROBLEM
A store bought a set of speakers for $82.86
and sold it for $195.82. What was the markup percentage? Round your answer to the nearest tenth.
Answer:
142%
Step-by-step explanation:
How I got this solution is made it as a ratio, "82.86:195.82".
I then simplified the balance by dividing 82.86 into both sides.
It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
Answer:
32
Step-by-step explanation:
1. Substitution is the second strategy for: *
a. solving a system of equations
b. finding the x-intercept and y-intercept
c. graphing an equation
The solution is Option A.
Substitution is the second strategy for solving a system of equations
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 first equation be represented as A
Now , the value of A is
ax + by = c be equation (1)
Let the second equation be represented as B
dx + ey = f be equation (2)
On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations
And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations
So , we will get the value of the variable x and y
Hence , the system of equations can be solved by substitution
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THANK YOUU!! You helped me on all of the ones i needed help on, that’s all! tysm
Answer:
See below.
Step-by-step explanation:
A. f(x) = x² - 8x + 12
E. f(x) = (x - 4)² - 4
F. f(x) = (x - 2)(x - 6)
I’m not sure what it could be?
Answer:
B
Step-by-step explanation:
If x equals 1/4 then it must be B because:
All the sections are divided into fourths so 1/4 plus 3/4 is 1.
there's no explanation for it either sh trippin
solving for "xx"
[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]
need help as soon as possible!!
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
54
Step-by-step explanation: