Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced
Answer:
2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 6y = - 18 ( subtract 3x from both sides )
6y = - 3x - 18 ( divide all terms by 6 )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
Slope of the line perpendicular to given line 3x + 6y = –18 is 2
What is slope intercept form and relation between slopes of two perpendicular lines ?The slope intercept of a line is given : y = m x+ c
y is y coordinate, x is x coordinate, m is the slope of the line
c is y- intercept of the line
If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or m₁ *m₂ = -1
Given line is 3x + 6y = –18
Subtract 3x from both sides
⇒ 3x +6y -3x = -3x-18
⇒ 6y = -3x-18
⇒ y =(-3/6)x -18 /6 = (-1/2) x -3
comparing it with slope intercept , slope = -1/2
let the slope of line perpendicular to given line is m
then m.(-1/2) = -1
⇒ m = 2
∴Slope of the line perpendicular to given line is 2
Also, learn more about the slope intercept form from the link below:
brainly.com/question/9682526
#SPJ2
Can somebody helpp ???
Answer:
I think 4
Step-by-step explanation:
If FG = 2 and EF looks very similar, EG would be 4 and EH=8, 8-4=4
NEED HELP! PLEASE! ASAP! 55 POINTS!
Tell whether the given order pairs are solutions of the inequality.
y ≥ - 2x + 4 ; (0,4) (-1,8)
Answer:
both
Step-by-step explanation:
hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.
y≥-2x+4
(0,4)
4≥-2(0)+4
4≥0+4
4≥4
this is correct since 4 is equal to 4.
(-1,8)
8≥-2(-1)+4
8≥2+4
8≥6
this is also correct since 6 is less than 8.
therefore, both ordered pairs are solutions of the inequality.
-9.5 - (-8) -6.5
helppppppppppp
Answer:
-8
Step-by-step explanation:
PLZ HELP WILL MARK BRAINLEST 1 hours max!!!!
2 or more have to answer plz help me !!!!!!!
Answer:
3x + 2 = 14
3x + 2 - 2 = 14 - 2
3x = 12
3x/3 = 12/3
x = 4
Step-by-step explanation:
3x + 2 = 14
subtract 2 from both sides
3x + 2 - 2 = 14 - 2
combine like terms.
3x = 12
divide both sides by 3
3x/3 = 12/3
x = 4
A coordinate grid with 2 lines. The first line is labeled f(x) and passes through (negative 4, 3), (0, 3) and (4, 3). The second line is labeled g(x) and passes through the points (negative 2, negative 5), (0, negative 2), and (2, 1)
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately (2) (2.5) (3.5) or (4)
.
f(x) = 3 and g(x) = 3/2x – 2
3 = 3/2x – 2
5 = 3/2x
The x-value at which the two functions’ values are equal is (2/3) (3/2) (5/3) or (10/3)
.
Answer:
3.5 and 10/3
Step-by-step explanation:
just took the quiz
Answer: C.) 3.5 and D.) 10/3
Step-by-step explanation: i hope this helps :)
Can you please help me solve this and show the solution 4y⁴+6y?
Answer:
4y^4 + 6y = 256y + 6 = 262y
Step-by-step explanation:
Remove the variables for a second and think of the problem as a normal expression; 4^4 + 6
Simplify the first term; 4^4 = 256
Now, add 6; 256 + 6 = 262
Add back in the variable; 262y
Answer:
2y(2y+3)
Step-by-step explanation:
2y(2y) +6y factor 2y out of 4y^2
2y(2y)+2y(3) factor 2y out of 6y
2y(2y + 3) factor 2y out of 2y(2y)+2y(3)
A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following
changes to the way the park land is used
• Clearing dead trees and shrubs would allow for 37 51 square meters of additional grassy area.
• Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
• Updating and expanding the playground would reduce the grassy area by 54 19 square meters
How many square meters of grassy area would the park have if all of the community group's proposals were applied?
Answer: they would have 216.06 square meters of grassy area left in the park
Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)
Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans
Answer:
4.20 for 6 cans is better
Step-by-step explanation:
4.20 / 6 = 0.70 per can
8.00 / 10 = 0.80 per can
0.70 per can is cheaper/less expensive than 0.80 per can.
Evaluate 5 + (-4) + (-7) +2
Answer:
5+(-4)+(-7)+2
5-4-7+2
5-11+2
5+2-11
7-11
-4
Barbara, Becky and Beth dressed up as princesses for
Halloween. One was Snow White. One was Sleeping
Beauty. One was Cinderella. Becky is not Sleeping
Beauty and she went trick-or-treating with Snow White.
Beth and Sleeping Beauty are sisters. Who is Snow
White?
Answer:
The answer is Beth.
Step-by-step explanation:
It states "Becky is not Sleeping Beauty and went trick-or-treating with Snow White" so we know that its not Becky. It also states "Beth and Sleeping Beauty are sisters" so we know that Beth is not Sleeping Beauty and we know that Becky is not Sleeping Beauty or Snow White. So it means that Barbara is Sleeping Beauty, Becky is Cinderella and Beth is Snow White.
PLEASE GIVE BRAINLIEST
Daniela has money automatically deposited into a savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate is measured in dollars per week. What is the constant of proportionality
A. 1/6
B. 12
C. 6
D. 3
Answer:
the answer is c
Step-by-step explanation:
the answer is c
The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides
Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
I need help in solving this problem. I need it to be factored by the GCF. I know the answer is (x-3)(5x-1), but I need the work.
5x^2-16x+3
I also have 2x^2+7x+5 and the answer to it is (2x+5)(x+1), but I also need to work too.
Answer:
Step-by-step explanation:
Which set of numbers could represent the lengths of the sides of a triangle?
As long as any 2 numbers from the set of 3 adds up to be greater than the third number, it could represent the sides of a triangle.
Explain how to make this an expression
176.3- 15.75
Answer:
I have that same question on my extra credit!
Step-by-step explanation:
I know the answer its 160.55 but I don't know what i should do for the problem. This is my questions:
Mina asked four friends to explain how each one solved the expression . Here are their explanations Please comment if these are the same:
Ivy’s explanation: I lined up the numbers to subtract.
176.3
- 15.75
18.8
Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract.
176.30
- 15.75_
161.45
Jose’s explanation: I lined up the two decimals according to place value.
176.3
- 15.75
161.45
An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line.
15.75 + 0.25 = 16
16 + 4 = 20
20 + 150 = 170
170 + 6 = 176
176 + 0.3 = 176.3
I rearranged the underlined numbers to make them easier to add: .
150 + 6 + 3 + 0.25 = 163.25
Explain each student’s mistake and solve the problem correctly.
Show your work.
What is 10 1/12 as a decimal
Answer:
10.083
since 1/12 is .0833333333 and so on, it’s shortened
Step-by-step explanation:
Answer:
10.0833333333
Step-by-step explanation:
CONSTANT TERMS
7k-8k
Answer:
1k
Step-by-step explanation:
If you can explain it a little better I could give you a better response. If it is multiple choice please provide the answer choices.
10 Nessa takes her friends out to lunch and the total cost of the meal is $88.71. The
restaurant then added a 20% tip to the cost of the meal. Not including the sales or
meals tax, what was the total cost of the lunch with the tip?
What are the 2 points on the graph? Choose 2.
Answer: (0,-1) (4,4)
Plz mark brainliest:)
Answer:
The top one is (-4,4)
and the other one is (0.-1)
hope this helps :)
What property is shown in the statement?
a + (b + 12) = (b + 12) + a
Answer:
Commutative
Step-by-step explanation:
Commutative is moving the numbers around. In the equation, the a moved.
Help the picture is above I’ll mark you as the brainliest please show the work too.
Answer:
b
Step-by-step explanation:
I used the graph and figured out the answer
Hope this helps :)
Brainest pls?
7/8 divided by 3/4.
need help with 3 easy math problems
Answer:
p=9 m=21 x= - 30
Step-by-step explanation:
p=9
m=21
x= - 30
Step-by-step explanation:
1) 3p + 5 = 14
3p = 14 - 5
3p = 9
p = 9/3
⇢ p = 3
2)
m/7 - 3 = 0
m/7 = 3
m = 3 × 7
⇢ m = 21
3) 8 + x/2 = -7
x/2 = -7 - 8
x/2 = - 15
⇢ x = -30
Show work, and find the product.
−4x5(11x3+2x2+9x+1)
Answer:
-44x⁸–8x⁷–36x⁶–4x⁵
Step-by-step explanation:
when you expand problems like these you need to multiple the number in front of the variable the the other numbers in front of the variables and add the exponentslike this-4•11= -44 | 5+3=8 I -44x⁸-4•2= -8 | 2+5=7 | -8x⁷-4•9= -36 | 1+5=6 | -36x⁶-4•1= -4 | 0+5=5 | -4x⁵put it all together and you get -44x⁸–8x⁷–36x⁶–4x⁵if my explanation is confusing I'm sorry feel free to ask questions
Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened × $ 5100 ) – $ 3300 What type of random variable is the number of new accounts opened
Answer:
1) The equation for computing Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
2) The number of new accounts is a continuous random variable
Step-by-step explanation:
1) The number of individuals that attend each of Gustin's seminar = 25 individuals
The cost of each seminar = $3,300
On average the commission on the first-year for each opened account = $5,100
The probability of opening an account by an attendee of each seminar = 0.01
The profit = Revenue - The cost of each seminar
The revenue = (The number of Newly Opened Accounts) × (Commission on each account)
∴ The revenue = (The number of Newly Opened Accounts) × $5100
Therefore, the equation for finding Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
The profit = (The number of Newly Opened Accounts) × $5100 - $3,300
The number of Newly Opened Accounts = (The number of attendee) × (The probability of an attendee opening an account)
The number of Newly Opened Accounts = 25 × 0.01 = 0.25
The number of Newly Opened Accounts = 0.25
The profit = 0.25 × $5100 - $3,300
The revenue = 0.25 × $5100 = $1,275
The profit = $1,275 - $5,100 = -$3,825 = ($3,825)
2) The number of Newly Opened Accounts = 0.25 which gives, that Gustin has to conduct 4 seminars to be sure of 1 new account, which represents a probabilistic variable which is the definition of a continuous random variable.
Therefore, the number of new accounts is a continuous random variable.
PLEASE HELP!!! 45 POINTS!!!
I know this is hard I'm sorry ;-;
Answer:
A
Step-by-step explanation:
hi! this is modus ponens. modus ponens is a form of assumption, and modus tollens denies the initial statement. modus ponens is like saying if A, then B occurs as well. if A is proven to be true, B must also be true. this makes sense in this situation because it says if an animal is a dog, then it barks (if A, then B). the animal barks, so it is a dog (A is true, so B must also be true).
hope this helps!
The formula for the volume, v, of a cone having the radius,r, and the height is shown below v=1/2 πr2h write the formula to calculate the height, h
Answer:
h= 2v / πr²
Step-by-step explanation:
height of a cone is twice of it's volume divided by π and square of radius
Step-by-step explanation:
v = 1/2 πr²h
v / 1/2 πr² = 1/2 πr²h / 1/2 πr² (Divide both sides of the equation by 1/2 πr² to find the formula for height (h).
v / 1/2 πr² = h or h = 2v / πr²
what is 5(-x) equal to?
Answer:
?
Step-by-step explanation:
where are the options?
What is the equation to Pi in math?
By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).