Marion compared the y-intercept of the function f(x) shown in the table below to the y-intercept of the function g(x) graphed below
What is the distance between the y-intercept of f(x) and g(x)
Answer:
difference is 12 units
Step-by-step explanation:
line shown has a y-intercept of -4
now find y-intercept of f(x) by first finding its slope:
(-2,0) and (2,-32)
m = (0+32)/(-2-2)
m = 32/-4
m = -8 (slope)
Now find the y-intercept (or 'b') from substituting into 'y=mx+b':
0 = (-2)(-8) + b
0 = 16 + b
-16 = b (y-intercept)
-16 - (-4) = -12
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.
What does r equal?
Answer: r = ________
Answer:
[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
Lets solve for [tex]r[/tex].
Multiply both sides of the equation by 3.
[tex]3V=\pi r^2h[/tex]
Divide both sides of the equation by [tex]\pi h[/tex].
[tex]\frac{3V}{\pi h} =r^2[/tex]
Take the square root of both sides.
[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]
Ethan wants to purchase a rectangular lot at a lake resort. He drew the layout of the lot on a coordinate plane, where the x- and y- values represent the length, in yards. The center of the lot is located at (0,0). The northeast corner of the lot is located at (16.5, 13.5). The southeast corner of the lot is located at (16.5, -13.5). The northwest corner of the lot is located at (-16.5, 13.5). The southwest corner of the lot is located at (-16.5, -13.5). What is the area of the rectangular lot?
a) 120 square yards
b) 1,782 square yards
c) 445.5 square yards
d) 891 square yards
2sinx^2 =sin x+3
Solve for the solutions
Answer:
x = 3/2 π (270°)
Step-by-step explanation
2sin²x =sin x+3
2sin²x - sin x - 3 = 0
(sin x + 1) (2sin x - 3) = 0
-1 ≤ sin x ≤ 1
sin x = -1
x = 3/2 π (270°) or -π/2 + 2kπ (k = ..., -1, 0 , 1, ...)
Angle W measures 36°. What is the angle measure of angle y? (Angle Includes x, y, w, z and is in the shape of an X?) SO confused.
Answer:
The angle measure of angle y is 36°. [ Because vertically opposite angles are equal]
(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.
A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.
We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.
First we construct a table which contains the values of slope.
Consider given differential equation dy/dx = xy/2
where -1 ≤ x ≤ 1,
1 ≤ y ≤ 3
Let the slope be m
so, dy/dx = m
For x = -1, y = 1
m = (-1 × 1)/2
= -1/2
For x = -1, y = 2
m = (-1 × 2)/2
= -1
For x = -1, y = 3
m = (-1 × 3)/2
= -3/2
For x = 0, y = 1
m = (0 × 1)/2
= 0
For x = 0, y =2
m = (0 × 2)/2
= 0
For x = 0, y = 3
m = (0 × 1)/2
= 0
For x = 1, y = 1
m = (1 × 1)/2
= 1/2
For x = 1, y = 2
m = (1 × 2)/2
= 1
For x = 1, y = 3
m = (1 × 3)/2
= 3/2
So, the table is:
x/y 1 2 3
-1 -1/2 -1 -3/2
0 0 0 0
1 1/2 1 3/2
Therefore, the slope field is as shown below.
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PLZ HELP ASAP!!!
I need help with part a and b
Answer:
ok so 4x-4y=8
4x-4×8=
4x-32
4x-10-32=
-40 -32= -72
Step-by-step explanation:
I think this is right sorry if I'm wrong
Answer:
We need to keep y on the left side only.
so we distribute the 4x to the right side.
that means:
4x - 4y = 8
-4x -4x
-4y = 8 - 4x
Now we divide by -4 on both sides
y = 8 - 4x/-4
-2 + x is y
Now for number 2:
Let's use -10 for x.
-2 -10 = -12
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
Answer:
32
Step-by-step explanation:
Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the
polynomial x
x2 − x − 12.
Given:
The given quadratic polynomial is :
[tex]x^2-x-12[/tex]
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
[tex]x^2-x-12[/tex]
Equate the polynomial with 0 to find the zeroes.
[tex]x^2-x-12=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x+3x-12=0[/tex]
[tex]x(x-4)+3(x-4)=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x=-3,4[/tex]
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]
[tex]x^2-(3+(-4))x+(3)(-4)[/tex]
[tex]x^2-(-1)x+(-12)[/tex]
[tex]x^2+x-12[/tex]
Therefore, the required polynomial is [tex]x^2+x-12[/tex].
At her birthday party, Sam is serving a slice of cake to each attendee. Of each attendee receives 2 slices, there will be 20 slices left. If 5 attendees do not receive any slices and the rest receive 5 slices each, there will be no cake left. How many attendees were at the party
On solving the provided question, we can say that by having the equation 15 attendees were at the party
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x = number of attendees
[tex]2x[/tex] + 20 = number of slices 5(x-5) = [tex]2x[/tex] - 20
[tex]5x[/tex] - 25 = [tex]2x[/tex] + 20
[tex]3x[/tex] = 45
[tex]x[/tex] = 15
[tex]2x[/tex] + 20 = 50 slices
15 attendees
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you and three friends spent $35 on tickets at the movies. Write and solve an equantion to find the price p of one ticket
Answer:
35/4=8.75
Step-by-step explanation:
You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75
Answer:
Step-by-step explanation:
35/3 = p
p = 11.67 per person
simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
What is simplification?Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Given that, simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
1) 2(y-1) / 3 - 3(y-2) / 4 = 1
Multiplying by 12 to both sides,
8(y-1) - 9(y-2) = 12
8y-8 - 9y+18 = 12
-y + 10 = 12
y = -2
2) 3x = 44 / 5 = 2x+6
3x = 44 / 5
Multiplying by 5 to both sides,
15x = 44
x = 44 / 15
or,
44 / 5 = 2x + 6
Multiplying by 5 to both sides,
44 = 10x + 30
14 = 10x
x = 7 / 5
Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
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numbers divisible by 5
please give me at least 6
Answer:
5,10,25,30,35,30,35,40...
Step-by-step explanation:
Multiples of 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
5,10,15,20,25,30,35,40,45.....
Step-by-step explanation:
just multiply 5 by consecutive natural numbers
plz mark as brainliest
How do you factorise α²-b²
Answer:
this is perfect square a-bplease help me with this
9514 1404 393
Answer:
51.63 m²
Step-by-step explanation:
The relevant area formulas are ...
A = πr² . . . . . area of a full circle of radius r
A = LW . . . . area of a rectangle of length L and width W
A = 1/2bh . . . area of a triangle with base b and height h
__
The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...
A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)
A = (14.13 +30 +7.5) m² = 51.63 m²
The area of the figure is about 51.63 m².
have to find x, y, and z,, someone help pls !!
The following table displays the number of sofas sold in a furniture store during certain months of the year.
Furniture Store Sofa Sales
January 255
February 234
March 263
April 229
May 248
Based on these data, which statement is correct?
A. There are outliers.
B. The mean best describes the data.
C. The median best describes the data.
D. The measure of variability that best describes the data is the IQR, 27.5.
We need to assume the sample was randomly selected because we are making inferences about ___________. a)unknown statistic b) unknown parameter c) means
We need to assume the sample was randomly selected because we are making inferences about means. Means refers to the average of a sample of data points, which can be used to estimate the value of an unknown population parameter.
If the sample was not randomly selected, then our estimates of the population parameter could be biased or inaccurate. This is because the sample may not be representative of the population as a whole, which could lead to incorrect estimates of the population parameter.
In order to make valid inferences about a population, it is essential to use random sampling. This is because random sampling ensures that the sample is representative of the population as a whole, meaning that the estimates of the population parameter that you obtain from the sample will be unbiased and accurate. If the sample is not randomly selected, then there is a risk that the sample is not representative of the population, which could lead to incorrect estimates of the population parameter.
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I know the answer is -2 but I need to show my work on how I got it
Answer:
-2
Step-by-step explanation:
6x + 10 = 1x
Subtract 6x from both sides.
10 = -5x
------------ Divide by -5
-5
-2 = x
6x + 10 = 1x
Subtract 10 from both sides
6x + 10 (-10)= 1x (-10)
6x =1x - 10
Subtract 1x from both sides
6x (-x) = 1x (-x) - 10
5x = -10
Divide both sides by 5
5x (/5) = -10 (/5)
x = -2
Hope that helps :)
What is the domain of the function y=3[x?
-0
O 0
0 0
01
The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.
The domain of the function is the set of all real numbers for which the function is defined.
As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.
Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
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1. Substitution is the second strategy for: *
a. solving a system of equations
b. finding the x-intercept and y-intercept
c. graphing an equation
The solution is Option A.
Substitution is the second strategy for solving a system of equations
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
ax + by = c be equation (1)
Let the second equation be represented as B
dx + ey = f be equation (2)
On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations
And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations
So , we will get the value of the variable x and y
Hence , the system of equations can be solved by substitution
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Simplify 10 1/2(1 1/7x+2/3)+5 5/6(2 2/5x+4 2/7)
Answer:
26x+32
Step-by-step explanation:
To prepare for a bake-off, Luis used 590 grams of flour each day for 3 weeks. How many kilograms did Luis use in those 3 weeks? 1 g = 0.001 kg Solve this on paper. Then check your answer on Zearn. Luis used kilograms of flour in 3 weeks.
Answer: [tex]12.39\ kg[/tex]
Step-by-step explanation:
Given
Luis used 590 gm of flour each day
If he continues to use it for 3 weeks
A week has 7 days; so 3 weeks have 21 days
The flour used in 21 days
[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]
Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks
help i am super confused! this is for algebra 1 please help asap
Answer:
Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.
Step-by-step explanation:
This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct
Sorry I cannot help more than that! :(
I’m not sure what it could be?
Answer:
B
Step-by-step explanation:
If x equals 1/4 then it must be B because:
All the sections are divided into fourths so 1/4 plus 3/4 is 1.
Dariu ha a 40-ounce port drink. He drink 18 ounce. Enter the percentage of ounce Dariu ha left of hi port drink
The percentage of ounce Dariu has left of his port drink is 55%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
It is given that Dariu ha a 40-ounce port drink.
He drank 18-ounce port drink.
First calculate what percentage of port drink Dariu drank.
The equation is -
= (18/40) × 100
= 45%
So, Dariu drank 45% of the port Drink.
Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -
100 - 45 = 55
Therefore, Dariu has 55% drink left.
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I am pretty sure its C but I might be wrong
Answer: I think it’s A
Step-by-step explanation:
But go for it
The domain of y = √√√x-5-1 is
DONE
3 of 8
P
10
1000
098
7
6
5
4
3
12
y
2
19
Ð
6
8x
The function domain is X≥5 Or in interval notation [5, ∞)
What is Domain definition?The domain of a function is the set of input or argument values for which the function is real and definedThe domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limitedIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the functionFind non-negative values for radicals x≥5solve x-5≥0:x≥5 function domain is X≥5 Or in interval notation [5, ∞)To learn more about Domain definition refers to:
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The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t)=20,000 (0.86)'
Find the value of the car after 4 years and after 10 years.
Round your answers to the nearest dollar as necessary.
Value after 4 years:
Value after 10 years:
Answer:
4 years: $10,94010 years: $4,426Step-by-step explanation:
Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.
EvaluationPut the value of t in the formula where t is, and do the arithmetic.
The attached calculator output tells us ...
value after 4 years: $10,940
value after 10 years: $4,426
__
Additional comment
When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.