Answers
Answer:
-12
Step-by-step explanation:
Since we want to find g(9), we will use the function g(x):
[tex]g(x)=-2x+6[/tex]
Substitute:
[tex]g(9)=-2(9)+6[/tex]
Multiply:
[tex]g(9)=-18+6[/tex]
Add:
[tex]g(9)=-12[/tex]
So, our answer is -12 :)
Related Questions
Is 6p-8 monomial, binomial, or trinomial
Answers
Answer:
Binomial
Step-by-step explanation:
how many terms are in the equation?
2 = Binomial
Answer: Binomial
Step-by-step explanation:
It contains two terms in 6p-8 (6p, and 8)
Thus it is binomial
Monomial: contains one term
binomial: contains two terms
trinomial: contains three terms
Hope this helps!! :)
Please let me know if you have any question
P and Q have coordinates (-2,3) and (5,4) respectively. Reflect P inthe X-axis to P' and Q in tha Y-axis to Q' .Find the distance between P'Q'.
Answers
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
The given coordinates are, P(-2,3) and Q(5,4).
Now, finding the P' and Q'.
Reflection on x- axis .
P(x,y)---------> P' (x,-y)
P (-2,3)----------> P'(-2,-3)
Now, let's find Q'
Reflection on y-axis.
Q(x,y)----------> Q'(-x,y)
Q(5,4)---------> Q'(-5,4)
Now, The points are P'(-2,-3) and Q'(-5,4)
By distance formulae,
[tex]P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Putting their values,
[tex]P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } [/tex]
[tex]P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } [/tex]
Simplifying them we get,
[tex]pq = \sqrt{58} [/tex]
Therefore, the distance between P'and Q' is root under 58 units.
Hope it helps...
Solve the equation for x.
3(6x - 1) = 12
Answers
Answer:
soln
18x-3=12
18x=15
so,x=5/6
alex is 61 inches tall. what is her height in feet ?
may you please show the equation that goes with it
Answers
Answer:
5 feet 1 inches
Step-by-step explanation:
if 1 foot is 12 inches.
Then, 60 ÷ 12
= 5
So, 61 inches tall = 5 feet 1 inches.
The answer is 5 feet 1 inches.
The Height of Alex in feet is 5.0833 feet.
To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.
Let's denote the height of Alex in inches as H in and her height in feet as H ft.
H in = 61 inches
H ft = ?
The equation to convert inches to feet is:
H ft = H_ in / 12
Substituting the value of H in into the equation, we have:
H = 61/12
H ft ≈ 5.0833 feet
Therefore, Alex's height is 5.0833 feet.
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is 7.0001 a repeating decimal or a terminating decimal or a integer?
Answers
Answer:
7.000l is a terminatin decimal.
Step-by-step explanation:
It is an terminating decimal because it stops right at 1, and the one is not repating too. If it was repeating it would be a repating decimal. We know it's not also an integer because we dont see a ngegative sign next to the seven.
Therefore, 7.0001 is a terminating decimal.
i need help ! someone plz help me, thank you.
Answers
Answer: I think it's C
Step-by-step explanation: hope it helps
Question 3
Round to the nearest tenth.
8.001 - (-3.4062) =
Answers
We add because subtracting a negative changes the sign to a positive. The tenths place is the first decimal place. Therefore, the answer is:
11.4
From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the amount of acid in the final mixture as a function of x (B) Determine the domain and range of the function (C) Determine if the final mixture is 50% acid PLEASE EXPLAIN...I DON'T UNDERSTAND THIS AT ALL
Answers
Answer:
A) 20+0.6[tex]x[/tex]
B) range is [0, 50] (i.e. both inclusive)
C) 8.33 litres
Step-by-step explanation:
Given that concentration of acid in 50 litre container is 40%.
Amount of acid in the container = 40% of 50 litres
Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]
[tex]x[/tex] litres are removed.
Amount of acid removed = 40% of [tex]x[/tex] litre.
Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre
Now, replaced with 100% acid.
So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre
Amount of acid in the final mixture:
[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]
Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]
Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.
so, range is [0, 50] (i.e. both inclusive)
Answer C)
Given that final mixture is 50% acid.
amount of acid = 50% of 50 litres = 25 litres
Using the equation:
[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]
What are the factors for x(5x+4)-(5x+4)
Answers
Answer:
(5 x + 4) (x - 1)
Step-by-step explanation:
Factor the following:
x (5 x + 4) - (5 x + 4)
Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).
Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):
Answer: (5 x + 4) (x - 1)
Please help!!!!!
Solve the equation 5(2y - 1) - 2(3y)= 1
Answers
Answer:
y = 3/2
Step-by-step explanation:
5(2y - 1) - 2(3y) = 1
First we use distributive property:
10y - 5 - 6y = 1
because 5 × 2y = 10y
and -2 × 3y = -6y
Now we combine the like terms:
4y -5 = 1
because 10y - 6y = 4y
Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)
4y = 1 + 5
Again we combine the like terms:
4y = 6
(because 5 + 1 = 6)
Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)
y = 6/4
and we simplify:
y = 3/2
And we cannot simplify or do anything else. So that is the answer.
Hope that helped!
What is the value of f(2) for f(x)=2x5−8x4+3x3−4x2+9x−1?(1 point)
Answers
Answer:
-39
Step-by-step explanation:
just took the quick check
y = -4x + 10 y = -6x + 16 Substitution
Answers
Answer:
The answer to this problem is x = 3 and y = -2.
Step-by-step explanation:
To solve this problem, we first have to remember how to solve problems using substitution. We first solve one equation completely in terms of another variable. In this case, this has already been done for us - the first equation is in the form y = f(x). Next, we should substitute this "value" or function for y into the other equation. This process is modeled below:
y = -4x + 10
y = -6x + 16
If we substitute, we get:
-4x + 10 = -6x + 16
Now this is a simple one variable equation that we can solve easily. First, we should add 6x to both sides, giving us:
2x + 10 = 16
Then, we should subtract 10 from both sides, yielding:
2x = 6
Finally, we can divide both sides by 2 to get:
x = 3
Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.
y = -4x + 10
y = -4(3) + 10
y = -12 + 10
y = -2
Therefore, the answer to this problem is x = 3 and y = -2.
Hope this helps!
Answer:
x = 3
y = -2
Step-by-step explanation:
y = -4x + 10 first equation
y = -6x + 16 second equation
from the second equation:
6x = -y + 16
x = (-y + 16) / 6 third equation
substituying the value of the third equation into the first equation:
y = -4(-y+16)/6 + 10
y - 10 = -4(-y+16(/6
6(y-10) = -4(-y+16)
6*y + 6*-10 = -4*-y -4*16
6y - 60 = 4y - 64
6y - 4y = 60 - 64
2y = -4
y = -4/2
y = -2
from the third equation:
x = (-y + 16) / 6
x = (-(-2) + 16) / 6
x = (2+16)/6
x = 18/6
x = 3
Check:
from the first equation:
y = -4x + 10
-2 = -4*3 + 10
-2 = -12 + 10
y = -x + 2 on a graph
Answers
Solve the following systems using the substitution method.
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
1).2x + 8y = 12 ......... Equation 1
x - 2y = 0 .............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 2y
We have
2(2y) + 8y = 12
4y + 8y = 12
12y = 12
Divide both sides by 12
y = 1
Substitute y = 1 into x = 2y
That's
x = 2(1)
x = 2
The answers are
x = 2 , y = 12.)x + y = 7......... Equation 1
2x + y = 5 ......... Equation 2
Make y the subject in equation 1 and substitute it into equation 2
We have
y = x - 7
2x + x - 7 = 5
3x = 7 + 5
3x = 12
Divide both sides by 3
x = 4
Substitute x = 4 into y = x - 7
y = 4 - 7
y = - 3
We have the answers as
x = 4 , y = - 33).y = -1/2 + 1 ......... Equation 1
2x + 3y = 6 ........ Equation 2
From equation 1
y = 1/2
Substitute y = 1/2 into Equation 2
So we have
2x + 3(1/2) = 6
2x + 3/2 = 6
2x = 6 - 3/2
2x = 9/2
Divide both sides by 2
x = 9/4
The answers are
x = 9/4 , y = 1/24).2x - 1/3y = - 9.......... Equation 1
-3x + y = 15 ........... Equation 2
Make y the subject in equation 2 and substitute it into equation 1
That's
y = 15 + 3x
2x - 1/3( 15 + 3x) = - 9
2x - 5 - x = - 9
x = - 9 + 5
x = - 4
Substitute x = - 4 into y = 15 + 3x
That's
y = 15 + 3(-4)
y = 15 - 12
y = 3
The answers are
x = - 4 , y = 3Hope this helps you
In the picture below
Answers
Answer : The value of x is 100.
Step-by-step explanation :
According to the question, the FH makes a line in which point G is present in between the line FH.
The diagram is shown below.
Given:
FG = (2x) meters
GH = 1000 meters
FH = 1200 meters
Now we have to calculate the value of x.
As we know that:
FH = FG + GH
Now putting all the given values in this expression, we get:
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100
Therefore, the value of x is 100.
How to study Math by yourself at home efficiently?
Answers
Answer:
Just do what you did in school
Step-by-step explanation:
Like example you did algebra exercise 1 2 and 3
do the same at home by yourself
Pay attention in class - if you pay attention to each and every detail in class you will understand the concept better .
Try taking math notes in class . All you need is a book and a pen . Write down everything that is new to you and write down formulas that you might need. This way you know what is in the chapter . And when you feel something doesn’t seem right you can ask your teacher. During your exams you can easily review these notes and you don’t have to search in the textbook for certain points or formulas. Use different colors and decorate your notes but don’t spend time in that because you might use these notes for only some time .
Solve the sums every day -solve the sums in your textbook. Solve the exercises of math and try to use the internet to get different sums that are similar to the concept you are learning. This will repeat the concept and you can understand it better. Try to do math each and every day. First do 10 sums and improve to do 20-30 sums each day . This way you know what sums you need to work on and what you already know.
Don’t be afraid to ask your questions- if you don’t understand some questions or doubts then feel free to ask . If you don’t ask soon enough you might lose your chance .
Read the textbook- read through the textbook and mark the important things you have to remember . Also make a layout of the chapter that includes the topics that you learnt in the chapter and their page numbers and so when it’s your exam all you need to do is look at the layout and if you don’t know a topic you can review it easily.
During the exam all you need to do is open you textbook check the important points and formulas and the layout of the chapter. If you don’t understand any concept then it will be easy to revise it . If you made notes you can look at them and revise quickly.
Before the exams gather all the sums together and separate them into two categories
1. The easy ones
2. The hard ones
Solve the easy ones first and try to understand the hard ones . This way you know the concept in the textbook questions and the same concept will be put into another question with the same meaning during the exam/test
You can try to solve online worksheets and tests based on the topic you are learning so tHat the concept is repeated in your head . Also try doing quizzes .
This should help you study math much easier and quicker.
Try to give at least one hour to math .
7 Tips for Maths Problem Solving that my friend uses are -
Practice, Practice & More Practice. It is impossible to study maths properly by just reading and listening. ...
Review Errors. ...
Master the Key Concepts. ...
Understand your Doubts. ...
Create a Distraction Free Study Environment. ...
Create a Mathematical Dictionary. ...
Apply Maths to Real World Problems.
Hope this helps you
Evaluate j/k-0.2k when j=25 and k=5
Answers
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]
Which of the following statements is false?
-|-5| = -5
-(-5) = 5
-|5| = -5
|-5| = -5
Answers
Two negatives form a positive,
+5 ≠ -5
The width of a rectangle measures (3.1s – 1.6) centimeters, and its length
measures (7.2s – 4.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
Answers
Answer:
Expression for perimeter of rectangle is:
[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
Step-by-step explanation:
Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and
length of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:
[tex]Perimeter = 2(l+w)[/tex]
Where [tex]l[/tex] is the length of rectangle and
[tex]w[/tex] is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:
[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
Between which two consecutive whole numbers does
[tex] \sqrt{75} [/tex]
lie? Fill out the sentence below to justify your answer and use your mouse to drag
[tex] \sqrt{75} [/tex]
to an approximately correct location on the number line.
Answers
Question 9 of 10
Given the lease terms below, find the total lease cost, assuming that the
deposit is nonrefundable.
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O A. $10,794
OB. $11,100
O c. $14,046
O D. $14,678
Answers
The total lease cost assuming that the deposit is nonrefundable is $14046.
What is Meant by Lease Cost?The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.
Given:
Length of lease: 24 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
So, Monthly payment= $479
So, Monthly payment after 24 month
= 11496
Thus, total lease cost = Down payment + Security deposit + Acquisition
fee
+ payment for 24 months
Total lease cost = 1500+ 350+ 700+ 11496
= $14046
Hence, the lease cost is $14046.
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Share is 4 times as old as Marcos. If the sum of their age is 45, which equation could best be used to find their ages?
Answers
Answer:
5x = 45
Step-by-step explanation:
x represents marcos
4x represents Share
5x = 45
x = 9
4x = 36
Share is 36 and Marcos is 9
Answer:
4x+x =45
Step-by-step explanation:
x would be marcos, since we do not know his age, and share is 4x that amount, so you would have 4x(shares age) plus x(marcos age) to get your answer.
Identify the coefficient in the expression x + 4.
A x
B 1
C 0
D 4
Answers
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of the variable. Since there is not a number written, there is an implied 1
x+4
1x+4
The coefficient is 1
What is a squared 9 in algebraic form?
Answers
9^2 equals 81
The marked price of an article is Rs.2080. After allowing d% discount and levying
(d-2)% VAT the cost of the article becomes Rs.1997.84. Find the rate of VAT?
Answers
Answer:
13%
Step-by-step explanation:
Given:
MP = 2080Discount = d%VAT = (d-2)%Cost = 1997.84Apply discount:
2080 - d% = 2080*(1 - 0.01d)Add VAT:
2080*(1 - 0.01d) + (d - 2)% 2080*(1 - 0.01d) * (1 + (d -2)/100)2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84(1 - 0.01d)(0.98 + 0.01d) = 1997.84/20800.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605 - 0.0001d² + 0.0002d + 0.98- 0.9605 = 00.0001d²- 0.0002d - 0.0195 = 0d² - 2d + 195 = 0Solving the quadratic equation we get:
d = 15Then
VAT rate = 15 - 2 = 13%How does scientific idea become a theory ?
Answers
Answer:
A scientific idea can become a theory when you have enough prove to back it up and when it is supported by other scientists.
Is 6/5 an irrational number
Answers
Answer:
yes
Step-by-step explanation:
Answer: Yes it is, because this is written as a simple fraction. A non-simple fraction would be something like 2 1/2. Having that extra whole number in front makes it complex!
Step-by-step explanation:
If 8f + 7 - 2f = 16, what
is the value of 12 f + 1?
I need help
Answers
[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]
We know f, now we want the 12f+1
Therefore, Substitute f = 9/6 in 12f+1
[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]
If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.
Evaluate the following expression. 5^-1/5^0
Answers
Answer:
1/5
Step-by-step explanation:
5^-1/5^0
=5^-1/1
=1/5
PLZZZ HELP!!! Why is it helpful to break down the total amount you would need to save on a monthly, weekly, or daily basis?
Answers
Answer:
it makes the goals easier to reach
Step-by-step explanation:
you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.
5 benefits of breaking down ones periodic savings have been listed below.
Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.
Now, budgeting is very important because it helps to do the following;
- Helps to ensure you spend money appropriately on things that you really need and not just wants.
- Helps you to effectively monitor your spending habits/patterns.
- Helps you to meet your financial goals.
- Helps you to make good decisions on things that involve finance.
- Helps you to monitor your progress in savings or interest as the case may be.
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