Answer:
1. variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.
2.Because solving an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
Step-by-step explanation:
3x =4xyz - 12y
+12 +12
3x + 12y
----------
4xy
3x + 12y
---------- =z
4xy
Simplify (4x+5y)(2x-3y)+3xy
Answer:
2x+8y
Step-by-step explanation:
Answer: 8x^2 - 15^2 + xy
Step-by-step explanation:
expand brackets by multiplying
(4x+5y)(2x-3y)+3xy
8x^2 - 12xy + 10xy - 15y^2 + 3xy
collect like terms
8x^2 - 15y^2 -12xy + 10xy + 3xy
solve
-12xy + 10xy + 3xy
=1xy (note: when writing/typing the answer, don't add 1 in front of the xy.)
final answer: 8x^2 - 15y^2 + xy
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study
Answer:
It is an example of an observational study.
Step-by-step explanation:
The given number case is example of an observational study.
What is Observational study?Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.
Given:
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.
Smoking and alcohol consumption habits were recorded for all 3 groups.
The above is somehow the example of research which requires an observation which does not change any data.
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How can you find the unit rate in a table and in a graph?
Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.
I do not know about the curve in the graph.
Evaluate this expression for c=6, and a=2. c/a.
Answer:
We know that....
c=6
a=2
so c/a = 6/2 = 3
Hope this helps....
Have a nice day!!!!!
Mark my ans as brainliest ang get 3 extra points
Answer: 3
Explanation: Here we're asked to evaluate [tex]\frac{c}{a}[/tex] if c = 6 and a = 2.
[tex]\frac{c}{a}[/tex] means the same thing as c divided by a and since we know that c = 6
and a = 2, we can substitute 6 in for c and 2 in for a and we have [tex]\frac{6}{2}[/tex] which is 3.
Helpppppp pleaseeeee
Answer:
translations are B and D I believe so
the square root of 26 as a whole number
Answer:
5
Step-by-step explanation:
5.0990195135928 there is no whole number
Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop? Answer choices: Coffee(time) Time(coffee) Day(time) Time(shops)
Answer:
Coffee(time)
Step-by-step explanation:
A function's output variable will be:
output(input)
So we need to find the input variable and the output variable.
We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.
The time of day then becomes our input as the coffee sold relies on that number.
That leaves coffee sold as our output!
So the best name for a function in this scenario is Coffee(time).
Hope this helped!
• How do you recognize a proportional relationship in a graph?
how to
factorie 6x²+19x+15
Answer:
(3x + 5)(2x + 3)
Step-by-step explanation:
[tex]6 {x}^{2} + 19x + 15 \\ = 6 {x}^{2} + 10x + 9x + 15 \\ = 2x(3x + 5) + 3(3x + 5) \\ = (3x + 5)(2x + 3)[/tex]
Which of the following functions best describes this graph?
A. y = x2 -5x + 6
B. y = (x - 1)(x - 1)
C. y = x2 - x +5
D. y = (x - 3)(x + 1)
Answer:
B
Step-by-step explanation:
I think B because look at the line going down
Herb owanda is a computer operator for data base, inc. He earns $38,600 a year he is single and is paid on a weekly basis how much is withheld from each weekly paycheck for state taxes?
Answer: $14.85
Step-by-step explanation:
given data:
yearly earnings = $38,600
there are 52weeks in a year, so his weekly wages
= $38,600/52
= $742.31
his state tax rate falls under the 2% rate due to his income
= 2/100 * $38,600
= $772/52
= $14.85 is withheld from his weekly wages for the state tax.
What is the value of f(-8)
For this question, you didn't gave enough details.
Read the function given by the question first.
After that substitute x with - 8.
If mXWZ = 90, what is x?
Answer:
x=11
Step-by-step explanation:
To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them
5x+5+2x+8=90
7x+13=90
7x=77
x=11
Libby donated $50 during the first month of the year. If she makes three additional donations of equal amounts during the year, how much will she need to donate each time to be in the Silver category?
Answer:
She will donate P-50/3 each time
Step-by-step explanation:
Now assuming total donation needed to be in the silver category Is P
We can assume also the three additional and equal donations be Q
So
Then 50 + 3Q = P
So we still don't know P
We can get Q by saying
3Q= P - 50
Q = (P - 50) /3
the greater of two consecutive odd integers is one less than twice the smallest. What are the integers?
Answer:
this might help you..
The required integers are 3 and 5.
It is required to find the integers.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
Let smallest number as x
the Largest number as (x+2)
According to given question we have,
(x+2)=2x-1
3=2x-x
∴x=3
Smallest number=3
The Largest number =(x+2)=3+2=5
Therefore, the required integers are 3 and 5.
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The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.
a = F + m
a = F − m
a = Fm
a = F divided by m
Answer:
a = F/m
Step-by-step explanation:
F = ma divide m by both sides
F/m = a
Answer:
D
Step-by-step explanation:
How many dots would be in the next image?
I need the answer and the work (it’s geometry)
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the heighty, in feet, of the tree after x years if the tree grows at
a constant rate? Check all of the boxes that apply.
y - 6 =3(x - 10)
y-16 = 3(x-9)
y = 3x - 11
y=-3x - 23
I'm not good in this but.....
x = years
9x-6x = 16-7
3x = 9
x = 3
That means the tree will grow three feet per year.
What is the value of the expression below when z = 6
Answer:
81
Step-by-step explanation:
[tex]2z^2+2z-3[/tex]
Using PEMDAS/BODMAS, we will have to do the exponent first, which is [tex]z^{2}[/tex].
Substitute the variable z with 6, since z = 6.
[tex]2(6^{2} )+2(6)-3[/tex]
[tex]6^{2} =36[/tex].
Thus, we will get
[tex]2(36)+2(6)-3[/tex]
Solve the multiplication next.
[tex]72+12-3[/tex]
Finally, add/subtract the numbers:
[tex]84-3[/tex]
[tex]81[/tex]
The value of the equation 2z² + 2z - 3 at 'z' equal to 6 is 81.
What is substitution?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Given, A quadratic equation 2z² + 2z - 3.
Now, The value of the equation at z = 6 can be obtained if we replace the variable z with it's numerical value which is,
= 2(6)² + 2(6) - 3.
= 2(36) + 12 - 3.
= 72 + 9.
= 81.
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how to expand a using the distributive law
Answer:
2x(3x+5)+1(3x+5)
Step-by-step explanation:
The distributive law is the law that states that multiplying a number by a group of numbers is the same as doing each multiplication separately. Eg. A(B+C) =AB+AC
In the case of two sets of parenthesis it would look like:
2x(3x+5)+1(3x+5)
Which would give us:
6x^2 +10x +3x+5
6x^2+13x+5
The general format for 2 bracket ones would be:
(A+B) (C+D) =A(C+D) +B(C+D)
where the two terms in the first bracket go outside the second bracket twice individually because each term must be multiplied by all terms in the other bracket.
Hope this helped!
True or False: Segment Y M is congruent to segment PW. GT Y BM PD W -10 -5 0 5 10 Select one: O True O False
Answer:
[tex]\huge\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
Length of YM = 1 - (-6) [This is it's endpoints]
YM = 1 + 7
YM = 8
Length of PW = 9 - 5 [Subtraction of endpoints to get the length]
PW = 4
So, Segment YM is not congruent to segment PW.
What is the value of w2 +3x +y -z when w = 3, x = 8, y = 2 and z = 5?
Answer:
32
you add everything together and put W X Y Z all pf those numbers where they belong!!
Good luck!!
Answer:
30
Step-by-step explanation:
w^2 +3x +y -z where w = 3, x = 8, y = 2 and z = 5
thus: (3^2) + 24 +2 - 5 = 30
find the value of n: 7n-12=16
Answer:
4.
Step-by-step explanation:
7n - 12 = 16
7n = 16 + 12 = 28
Since 7n = 28, n = 28 / 7 = 4.
I need the answer and the work (it’s geometry)
Answer:
B
Step-by-step explanation:
∠ CBD = ∠ ABE ( vertical angles ), thus
7x - 6 = 5x + 14 ( subtract 5x from both sides )
2x - 6 = 14 ( add 6 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Thus
∠ ABE = 5x + 14 = 5(10) + 14 = 50 + 14 = 64° → B
Write and test a conjecture about the quotient of a negative number and a positive number. Give at least two examples when testing the conjecture. Someone please help... it will be greatly appreciated.
Answer:A negative number divided by a positive number is always negative
Step-by-step explanation:
ok so like I need helpp ;-;
Answer:
i think the answer is B because 3/4 is more than 2/3
Answer:
its b.
Step-by-step explanation:
if you convert them, so they both have the same dominator, nadias recipe ends up needing more flour.
Jenny needs to sew two pieces of fabric together. One of the pieces is 3 1/12 inches and the other one is 6 5/8. What is the length of the pierce of fabric
Answer:
9 17/24in
Step-by-step explanation:
3 1/12 + 6 5/8 = length of fabric
We can add 3 and 6 since they are whole inches.
3 + 6 = 9
Now we add the fractions
1/12 + 5/8
We need to find a common denominator.
Each number goes into 24 so
1/12*(2/2) = 2/24 and 5/8*(3/3) = 15/24
2/24 + 15/24 = 17/24
So the total length of fabric is 9 17/24in
which of the following shows the correct solution steps and solution to 3x+2=17?
Answer:
[tex]\huge\boxed{\sf x = 5}[/tex]
Step-by-step explanation:
[tex]\sf 3x + 2= 17[/tex]
Subtracting 2 to both sides
[tex]\sf 3x = 17-2\\3x = 15[/tex]
Dividing both sides by 3
[tex]\sf x = 15/3\\x = 5[/tex]
The correct solution to the equation 3x + 2 = 17 is x = 5.
Let's find the correct solution to the equation 3x + 2 = 17:
Step 1: Subtract 2 from both sides to isolate the term with 'x':
3x + 2 - 2 = 17 - 2
3x = 15
Step 2: Divide both sides by 3 to solve for 'x':
3x / 3 = 15 / 3
x = 5
So, the correct solution to the equation 3x + 2 = 17 is x = 5.
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Multiply. 4x2 (2x3 + x2 - 3) A. 8x6 + 4x4 + 12x2 B. 8x6 + 4x - 12x2 C. 8x5 + 4x4 - 12x2 D. 8x5 + 4x4 + 12x2
Answer:
[tex] \boxed{ \bold{\sf{ { \boxed{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
[tex] \sf{4 {x}^{2} (2 {x}^{3} + {x}^{2} - 3})[/tex]
Distribute 4x through the parentheses.
[tex] \dashrightarrow{ \sf{4 {x}^{2} \times \: 2 {x}^{3} + 4 {x}^{2} \times {x}^{2} - 4 {x}^{2} \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}[/tex]
Hope I helped!
Best regards! :D
C is the correct option
Step-by-step explanation: