Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.
Answer:
Slope = -7
y-intercept = -9
Step-by-step explanation:
The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.
y = mx + b
y = -7x - 9
m = -7 which is the slope
b = -9 which is the y -intercept
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
Answer:
x = - 1
Step-by-step explanation:
Given
f(x) = x³ + x² + x + 1
If x = 1 is a factor then f(1) = 0
f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero
f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0
Thus x = - 1 is the only zero
Question 5 of 8
In arithmetic, variables look like
Answer here
SUBMIT
Answer:
In arithmetic, variables look like letters.
Step-by-step explanation:
As we know that Mathematical arithmetic deals with numbers and certain properties with them.
Some of the main properties between numbers are as follows:
AdditionSubtractionMultiplicationDivisionVariables do not remain constant, so we basically assign a number to a variable with an equal operator denoted by '='.
For example, let us assume a variable x being equal to 7. so it can written as:
[tex]x = 7[/tex]
Let suppose the value of the variable x=7 changes to x=10, then the new value will be:
[tex]x = 10[/tex]
Therefore, the correct answer is:
In arithmetic, variables look like letters.
The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?
Answer:
4
Step-by-step explanation:
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010
Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1 year?
Answer:
111
I'm pretty sure
Step-by-step explanation:
Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)
Answer:no
Step-by-step explanation:
Because there’s two number 9’s for the x values
Answer:
no because x = 9 has two y coordintates, and in a function every x value can only have one y value.
Step-by-step explanation:
2x + y = -8
3x - 5y = -25
It’s substitution
Answer:
x = -5 , y = 2
Step-by-step explanation:
Solve the following system:
{y + 2 x = -8
-5 y + 3 x = -25
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{y + 2 x = -8
-5 y + 3 x = -25
Hint: | Solve for y.
Subtract 2 x from both sides:
{y = -2 x - 8
-5 y + 3 x = -25
Hint: | Perform a substitution.
Substitute y = -2 x - 8 into the second equation:
{y = -2 x - 8
3 x - 5 (-2 x - 8) = -25
Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.
3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:
{y = -2 x - 8
13 x + 40 = -25
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = -2 x - 8
13 x + 40 = -25
Hint: | Isolate terms with x to the left hand side.
Subtract 40 from both sides:
{y = -2 x - 8
13 x = -65
Hint: | Solve for x.
Divide both sides by 13:
{y = -2 x - 8
x = -5
Hint: | Perform a back substitution.
Substitute x = -5 into the first equation:
{y = 2
x = -5
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = -5 , y = 2
4x² - 3x⁵ + x³ - 8x what is the answer need by today
Answer:
In standard form -3x⁵ + x³ + 4x² - 8x
Step-by-step explanation:
an office administrator will be purchasing supplies for an upcoming meeting. She will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each. The supply budget for this meeting is $150. Which inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase?
Given :
Price per folder = $2.15 .
Price per notebook = $4.60 .
The supply budget for this meeting is $150.
To Find :
Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.
Solution :
Let, number of folders and notebooks is f and n.
So, price of buying f and n number of folders and notebooks are :
P = 2.15f + 4.60n
Now, it is given that P ≤ $150 .
So,
2.15f + 4.60n ≤ 150
Hence, this is the required solution.
[tex]2.15f+2.5n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.
Given information:
An office administrator will be purchasing supplies for an upcoming meeting.
Staff will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each.
The supply budget for this meeting is $150.
Let f be the number of folders purchased and n be the number of notebooks purchased.
Now, the total amount spent on the whole purchase should not be greater than $150 which is the budget of the shopping.
In the form of inequality, the given condition can be written as,
[tex]2.15f+4.6n\leq 150[/tex]
The total amount spent is less than equal to 150.
Therefore, [tex]2.15f+4.6n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.
For a graphical representation of the inequality, see the image attached.
For more details, refer to the link:
https://brainly.com/question/18568636
what is 9.15 x 10^-4 in standard form
Answer:
.000915x
Step-by-step explanation:
Answer:
0.000915x
Step-by-step explanation:
Check it out it works man(woman)
Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.
Answer:
Step-by-step explanation:
Total cups of chocolate available = 7 1/3 cups
each batch uses 2/3 of a cup of chocolate
To get the number of batches of muffin Jim can bake, we will use the equality postulate.
1 batch = 2/3 cup of a chocolate
x batch = 7 1/3 cups of chocolate
Cross multiply
2/3 x = 7 1/3
2/3 x = 22/3
cross multiply
2x * 3 = 3 * 22
6x = 66
x = 66/6
x = 11
Hence Jim can bake at most 11 batches of muffins
Write an equation for the nth term of the sequence 12, 5, -2, -9,....
Answer:
n-7
Step-by-step explanation:
when n=12
.: n-7= 12-7=5
when n=5
.:n-7= 5-7= -2
when n=-2
.: -2-7= -9 and so on
The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.
What is a sequence?
The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.
An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.
The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.
[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]
Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.
Learn more about sequence from here:
https://brainly.com/question/21961097
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What is rhe vertex of this parabola ?????? HELP
Answer:
The vertex is (3,1)
Step-by-step explanation:
Brainliest please
The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?
Answer:
because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters
=> the length of the playground cannot exceed: (120/2)-22= 38(meters)
Step-by-step explanation:
From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?
Answer:
60.71
Step-by-step explanation:
Given that:
Consumption of poultry per capita is modeled by:
y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990
Per capita poultry consumption in 1992;
1992 ; t = 2
y=-.2125t^2 + 2.615t+56.33
Put t = 2 in the equation
y=-.2125(2)^2 + 2.615(2) +56.33
y = -.2125(4) + 2.615(2) + 56.33
y = - 0.85 + 5.23 + 56.33
y = 60.71
Solve for x and y
3x + 2y = 16
7x + y = 19
(-2,-5)
(-2,5)
(2,5)
(2,-5)
Answer:
(2,5)
Step-by-step explanation:
it's (2,5) just to let you now
Find the measures of the missing angles
Answer:
Step-by-step explanation:
∠1 = 180° - 88° = 92°
∠5 = 81° (alternate interior angles)
∠4 = 180° - ( 81° + 64° ) = 35°
∠3 = 180° - ( 81° + 35° ) = 64°
∠2 = 88° - 64° = 24°
Answer:
1. 92°
2. 24°
3. 64°
4. 35°
5. 81°
Step-by-step explanation:
1.
180 - 88 = 92°
5.
81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)
4.
Sum of angles in a triangle = 180°
∠4 + 88 + 64 = 180
∠4 = 35°
3.
Linear pair = 180°
∠3 + 81 + 35 = 180
∠3 = 180 - 81 - 35
∠3 = 64°
2.
Sum of angles in a triangle = 180°
∠2 + 92 + 64 = 180°
∠2 = 24°
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1
Which of the following values are solutions to the inequality x-7< 5?x−7<5?
Answer:
x>12
Step-by-step explanation:
Answer:
These are = to........so =
PLEASE HELP!! (Give reasonable answer)
Answer: B
Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
please help due in 5 mins
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event)
Answer: 1/2 which equals 50%
Step-by-step explanation:
Answer:
0.5 because there are 4 numbers and 2 of them are even so it would be 1/2
What is the slope of the line through -4,3 and 5,3
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)
m = [tex]\frac{3-3}{5+4}[/tex] = [tex]\frac{0}{9}[/tex] = 0
Need an answer within an hour i will give brainlist dont write just anything please. thank you
Answer:
its not a straight line so what is the question ???????? maybe f(-3) = -3f
Step-by-step explanation:
three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches
Answer:
3q+7=40 I know im a year late but this is for whoever needs it this year Step-by-step explanation:using algebra the value of q is 11 inches Mark me as brainliestThe length of the equal sides of the given quadrilateral comes to be 11 inches.
What is a quadrilateral?A quadrilateral is a polygon with 4 sides.
Suppose the length of the three equal sides =x inch
Length of the fourth side =7 inches
So, the perimeter of the quadrilateral = x+x+x+7
The perimeter of the quadrilateral = 3x+7
Given that the perimeter of the quadrilateral = 40inches
3x+7=40
3x=33
x=11
So, the length of three equal sides = 11 inches
Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.
To get more about the quadrilateral visit:
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The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
Answer:
85
Step-by-step explanation:
The range is defined as the difference between the highest observation and lower observation in a data.
Here,
The Highest observation in this data= 91
The Lowest observation in this data=6
Hence,
Range of the data= Highest observation - Lower observation
=91-6=85
the sum of two numbers is 18 their difference is 4
Answer:
7 and 11
Step-by-step explanation:
sweet t is making a double batch of Pupcakes. he puts them in the oven at 6:50. they need to bake for 25 minutes
i would love to help but i just need free points
Step-by-step explanation:
Please help me out !
Answer:
D
Step-by-step explanation:
because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6
I think this is right but I maybe be wrong
Is 5/6 equal to 2/3?
=====================================================
Work Shown:
For now, let's assume they are equal. We'll show a contradiction happens.
5/6 = 2/3
5*3 = 6*2 ... cross multiply
15 = 12 ... here's the contradiction
If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.
Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say
5/6 > 2/3
5*3 > 6*2
15 > 12
Which helps show 5/6 is larger than 2/3.
---------------------
Or you can use a calculator to see that
5/6 = 0.833 approximately
2/3 = 0.667 approximately
which shows the two fractions aren't equal and 5/6 is larger.