Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?
Answer:
34
Step-by-step explanation:
f(-3) = -3(-3) +7
f(-3) = 16
g(3) = -7(3) +3
g(3)= -18
16 -(-18) = 34
Answer:
34
Step-by-step explanation:
f(x) = -3x + 7
f(-3) = -3(-3) + 7
= 9 + 7 (two negatives make a positive)
= 16
g(x) = -7x + 3
g(3) = -7(3) + 3
= -21 + 3
= -18
16 - (-18)
16 + 18 (two negatives make a positive
= 34
Hope this helps!
Which of the following is equivalent to 16 3/2
Answer:
b is the answer because I don't know what to do with it and
Write an equation for the line in the given form.
Contains the points (5, 2) and (8, 11); slope-intercept form
Answer:
y = 3x-13
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( 11-2)/(8-5)
= 9/3
=3
Then using slope intercept form
y= mx+b
Using one of the points and the slope
2 = 3(5) +b
2 = 15 +b
2-15 = b
-13 =b
y = 3x-13
Step functions
I don’t get what’s it’s trying to tell me to do not do I know where to begin
Answer:
[7.8] = 8
[0.75] = 1
...
Step-by-step explanation:
step function takes the value of the greatest integer
Pls helppp it’s due soon!
Will give brainliest if your answer is right
Answer:
19.4
Step-by-step explanation:
This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
The building is meters tall.
Answer: The building is 35 meters tall.
Step-by-step explanation:
420 divided by 24 is 17.5
17.5 x 2 is 35
(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)
-6x + 8y = 12 and -3x + 4y = 6
Answer:
y = (3/4)x + (3/2)
Step-by-step explanation:
all points on that line
Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
we clearly see, that constant here is -9.
we start with 26.
a1 = 26
a2 = a1 - 9 = 26 - 9 = 17
a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8
so, we see
an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9
a59 = 26 - 58×9 = -496
a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs per linear foot to install and the farmer is not willing to spend more than , find the dimensions for the plot that would enclose the most area.
The constraint for the maximum enclosed area is the amount the farmer is
willing to spend on fencing.
The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet
The length of the plot that will give the most area, y = 125 feet
Reasons:
The given parameters are;
The cost of fencing per foot = $20
The maximum amount the farmer is willing to spend = $5000
Number of sides of fencing = 3 sides
Cost of the west side of the = Split with neighbor
Solution:
Let, y, represent the length of the fence, and let x represent the width of
the fence, we have;
Length of fence required = y + 2·x
Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x
Therefore;
Maximum amount to be spent on the fence, 5000 = 20·y + 30·x
[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]
[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]
Area of a rectangle = Length × Width
The enclosed rectangular area of the fencing, A = y × x
[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]
[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]
The leading coefficient of the quadratic function of the area is negative,
therefore, the function only has a maximum point.
At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]
Finding the value of x at the maximum point, we get;
[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]
Therefore;
[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]
[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]
The length of the plot that will give the most area, y = 125 feet
Learn more here:
https://brainly.com/question/16337916
https://brainly.com/question/16545343
The chess team wants to have practice two different days next week from money through friday. How many schedules can be made?
Answer:
2 schedule
I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday
I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy
7/8 rounded to the nearest thousand
Evaluate the following expression
a+b divide c
when:
a = 2
b= -3
C= -1
d=5
Show your work by substituting and solving.
Answer:
1
Step-by-step explanation:
a+b divide c -> [tex]\frac{a+b}{c}[/tex]
Plugging in - > [tex]\frac{2+-3}{-1}[/tex]
Simplifying: [tex]\frac{2-3}{-1}[/tex]
Subtracting: [tex]\frac{-1}{-1}[/tex]
Simplifying: 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Step-by-step explanation:Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
which answer is correct
Answer:
see below for answer
Step-by-step explanation:
(4p^2+32p)/(p-2)=(4p(p+8))/p-2
(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)
(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p
Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
Show Your Work
You have responded to 5 of 8 questions. 1 response is missing a drawing
Submit
Pls help WILL MARK BRAINLY also 34 POINTS
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
Answer:
The answer is 27 degrees for x, and 38 degrees for y.
Step-by-step explanation:
There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.
For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.
Answer:
33/16
Step-by-step explanation:
the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest
Answer:
23.08
Step-by-step explanation:
giving brainliest to someone earning it
Answer:
um... okie
Step-by-step explanation:
Evaluate the expression for x=2 and y=4
16x0 + 2x2 • y-1
Answer:
31
Step-by-step explanation
16x0+2x2•y-1
ok now
16•2+2•2•2•4-1
wich is: 31
What are the values of the two angles?
Answer:
the angle 3x is 42 degrees, the angle 12x-30=138 degrees
Step-by-step explanation:
first, write an equation to represent the problem.
3x+(12x-30)=180
3x+12x=210
15x=210
x=14
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.
Theory
There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.
In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.
Now that we know that we can solve the problem.
Solving
So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.
Since we know this, we can state the following equation:
[tex]3x+12x-30=180[/tex]
We can say this due to the rule of Supplementary angles adding up to 180 degrees.
We can now use Algebra to simplify the equation:
[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]
After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.
[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]
We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.
Cheers!
what number is 12% of 315
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
Maria and Ming start at the same point and drive in opposite directions. Maria drives 60 mph and Ming drives 48 mph. How far apart will they be in 3 hours?
Answer:
36
Step-by-step explanation:
60x3 = 180
48x3=144
subtract those 2wo numbers ( 180 and 144 ) and you'll get 36
Lisa is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg To determine the shipping costs, Lisa needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Answer:
About 66 Lb
Step-by-step explanation:
whats the answer.......................................................................................................................................
Answer:
dots?.............................................................................................................................................................................................................................................................
Step-by-step explanation:
Graph the line passing through (1,2) whose slope m= -1/3
[tex] \sf \: y = - \frac{1}{3} x + \frac{7}{3} [/tex]
hope it helps
l=3cm×b=4cm×h=2cm
Can u pls help
Answer:
24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm
Step-by-step explanation:
3 x 4 x 2 = 12
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Will make brainliest
See the steps below:
x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32calls for
1
4
4
1
cup of sugar and
2
3
3
2
cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
Answer:
Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar
simplify by combining like terms -(m+n)+2 (m-3n)
-(m+n)+2(m-3n)
-m+n+2m-6n
-m+2m+n-6n
m-5n
Answer:
m -7n
Step-by-step explanation:
-(m+n)+2 (m-3n), distribute in the first parenthesis the -1 and in the second parentheses the 2
-m -n + 2m -6n , group like terms
-m + 2m -n -6n , combine like terms
m -7n