The number in the parenthesis is the X value and they are looking for what the Y value is at that specific X.
So when you look at f(-2), find the Y value where the line crosses.
At X-2, the line crosses Y at -2
At X = 2, the line crosses at Y = 2
At X = 4, the line crosses at Y = 1
The answer is -2,2,1
‼️20 Points‼️
John drew the line of best fit on the scatter plot. What is the equation of this line of best fit in slope-intercept form?
A) Y=2x + 6/5
B) Y=5/6x + 2
C) Y= 2x + 5/6
D) Y= 6/5x + 2
Answer:
D
Step-by-step explanation:
the slope is 12/10 which simplifies to 6/5 and the y intercept is 2
PLEASE HELP ASAP. I need help with this problem, I've gotten two answers: 60 and 90 but I can't figure out which one it is. Please help with this and show work so I can understand how to do it, 30 points and thank you very much.
Find the ratio of the known sides.
6/4 = 1.5
The larger triangle is 1.5 times larger than the smaller one.
Area is in square units, so to find the area of the larger triangle square the ratio and multiply that by the area of the known triangle.
1.5^2 x 40 = 90 square cm.
Perform the indicated operation. 4/7x^2 - 3/2x^3
"The correct operation to perform is the subtraction of the two given polynomial terms:
[tex]\[ \frac{4}{7}x^2 - \frac{3}{2}x^3 \][/tex]
To subtract these terms, we simply combine them, keeping in mind that subtraction requires us to change the sign of the term being subtracted and then add the terms together. Since the terms are already in descending powers of \( x \), we do not need to rearrange them. The subtraction then yields:
[tex]\[ -\frac{3}{2}x^3 + \frac{4}{7}x^2 \][/tex]
This is the simplified expression after performing the indicated operation. There are no like terms to combine further, so this is the final answer.
The answer is: [tex]\[ -\frac{3}{2}x^3 + \frac{4}{7}x^2 \]"[/tex]
imagine you live only one mile from work and you decide to walk. if you walk four miles per hour, how long will it take you to walk one mile?
Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes
Step-by-step explanation:
Dylan,
If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.
To set up the "equation" think about it this way: (1 mile/ t) = (4 mile/ 1 hr)
so 1/t = 4/1 hr
now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)
t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.
The answer is 15 minutes because if he can walk 4 miles for only an hour and we know that an hour is 60 minutes
4. 60m
1. 15m
So what I have done there is just divide it by 4 to get one mile and divide 60 by 4 to get the 15 minutes
identify a transformation of the function f(x) = √x by observing the equation of the function g(x) = √x-2
Answer:
g(x) is the image of f(x) after translated horizontally 2 units to the right
Step-by-step explanation:
∵ f(x) = √x
∵ g(x) = √(x - 2)
∴ The x-coordinate of f(x) becomes (x - 2)
∴ f(x) translated horizontally 2 units to the right
When Danny gets wild l, his mom tells him to do laps around the block. His block is 66 yards wide and 80 yards long. How many yards are in one lap around Danny's block?
Answer:
292
Step-by-step explanation:
The block is a rectangle with 80 yd length and 66 yd width. We need the perimeter of the block, which is the perimeter of the rectangle.
P = 2L + 2W
P = 2(80 yd) + 2(66 yd)
P = 160 yd + 132 yd
P = 292 yd
To calculate the distance of one lap around Danny's rectangular block (66 yards wide and 80 yards long), we find the perimeter, which is 292 yards.
The question asks about finding the distance Danny must run when doing a lap around his block, which is shaped as a rectangle. To find the distance around a rectangular path, we calculate the perimeter. The formula for the perimeter of a rectangle is 2 * (length + width). Given that the block is 66 yards wide and 80 yards long, the perimeter is 2 *(66 + 80) yards.
First, we add the length and width: 66 + 80 = 146 yards. Then, we multiply by 2: 2 * 146 = 292 yards. Therefore, one lap around Danny's block is 292 yards.
15 POINTS LMK ASAP..........
Answer:
The central angle ADC = 81°
Step-by-step explanation:
From the figure we can see a circle with circumference = 200 cm and arc ABC length = 45 cm
To find the central angle ADC
Circumference = 200 cm
Length of arc ABC = 45
we have
arc length = circumference * (central angle /360)
central angle = (arc length * 360)/circumference
= (45 * 360)/200
= 81 cm
Therefore the central angle ADC = 81°
Answer:
ADC=81
Step-by-step explanation:
Víctor saves $11 every week.Which expression represents the amount of money,in dollars,Victor Will save in w weeks?
Answer:
11*w=x
Step-by-step explanation:
x= the amount of money he will have after w weeks
so, 11 times the amount of weeks will give you the amount he has after any number of weeks
Solve this questions beow
Answer:
140 ft²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
note triangle has a base = 16 - 12 = 4 ft
Area = area of rectangle + area of triangle
= (16 × 8) + ([tex]\frac{1}{2}[/tex] × 4 × 6)
= 128 + 12
= 140 ft²
help!!!!!!!!!!!!!!.........
there is no help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For this case we must resolve the following expression:
[tex]9 ^ {\sqrt {3}}[/tex]
We have to, by definition:
[tex]\sqrt {3} = 1.732050808[/tex]
So:
[tex]9 ^ {1.732050808} =[/tex]
Evaluating in a calculator we have to:
[tex]9 ^ {1.732050808} = 44.95691576[/tex]
Rounding the obtained expression:
[tex]9 ^ {\sqrt {3}} = 44.9569[/tex]
Answer:
Option C
Been bought cell phone that came in a box shaped like a rectangular prism the box is 5 inches long by 3 inches wide by 2 inches high what is the surface area of the box
Answer: 62 in²
Step-by-step explanation:
You must apply the formula for calculate the surface area of a rectangular prims, which is shown below:
[tex]SA=2(wh+lw+lh)[/tex]
Where w is the width, l is the lenght and h is the height.
Based on the information given in the problem, you know that:
[tex]l=5in\\w=3in\\h=2in[/tex]
Therefore, when you substitute these values into the formula, you obtain that the surface area of the rectangular prism is:
[tex]SA=2[(3in*2in)+(5in*3in)+(5in*2in)]\\SA=62in^2[/tex]
PLEASE HELP ME!
Please simplify this equation.
(-4a^2) (2a^-3)^-4
The options are:
A. a^14 divided by -4
B. 1 divided by -4a^10
C. -4a^10
D. -64a^14
By the way, when the symbol, ^, is behind a number, it means that the number in front of it is an exponent.
Answer:
A. a^14 divided by -4Step-by-step explanation:
[tex](-4a^2)(2a^{-3})^{-4}\qquad\text{use}\ (xy)^n=x^ny^n\ \text{and}\ (x^n)^m=x^{nm}\\\\=(-4a^2)\bigg(2^{-4}a^{(-3)(-4)}\bigg)\qquad\text{use}\ 4=2^2\\\\=(-2^2a^2)(2^{-4}a^{12})\\\\=-(2^2)(2^{-4})(a^2a^{12})\qquad\text{use}\ x^nx^m=x^{n+m}\\\\=-2^{2+(-4)}a^{2+12}\\\\=-2^{-2}a^{14}\qquad\text{use}\ x^{-n}=\dfrac{1}{x^n}\\\\=-\dfrac{1}{2^2}a^{14}\\\\=-\dfrac{a^{14}}{4}[/tex]
Chris is packing toy boxes that are cubes with 4 inch-sides into a crate. The crate is 3 feet wide by 3 feet long by 2 feet tall. How many toy boxes can Chris pack into the crate?
Answer:
[tex]486\ toy\ boxes[/tex]
Step-by-step explanation:
we know that
[tex]1\ ft=12\ in[/tex]
step 1
Convert the dimensions of the boxes to feet
[tex]4\ in=4/12=(1/3)\ ft[/tex]
step 2
Find the volume of the toy boxes
[tex]V=b^{3}[/tex]
[tex]V=(1/3)^{3}=(1/27)\ ft^{3}[/tex]
step 3
Find the volume of the crate
[tex]V=LWH[/tex]
[tex]V=(3)(3)(2)=18\ ft^{3}[/tex]
step 4
Divide the volume of the crate by the volume of the toy boxes to find the number of toy boxes
[tex]\frac{18}{(1/27)}= 486\ toy\ boxes[/tex]
a square tile is 20 cm wide. How many tiles are needed to cover 2 square metres
Answer:
50 tiles
Step-by-step explanation:
The area of a square is the square of the side. The area of each tile is
a = (20 cm)^2 = 20 cm * 20 cm = 400 cm^2
Now we convert 2 square meters into square centimeters.
2 m^2 * (100 cm)/m * (100 cm)/m = 20,000 cm^2
2 m^2 = 20,000 cm^2
Now we divide the total area by the area of one tile.
(20,000 cm^2)/(400 cm^2) = 50
Answer: 50 tiles
Please I need help ASAP
Answer:
B .22
Step-by-step explanation:
The number of people who are male and attended an action movie is 105
There were 479 people who attended
P(male and attended an action movie) = male and attended an action movie
---------------------------------------------------
attended
P(male and attended an action movie)=105/479
=.219206681
Rounded to two decimal places
=.22
What is 0.47058824 rounded to nearest tenth
Answer:
0.5
Step-by-step explanation:
0.47058824
the 4 is in the tenths place
the 7 makes it turn to a 5
the answer would be 0.5 :)
amee buys 7 DVDs for $129.50. The total cost, c, is proportional to the number of DVDs purchased, d.
What equation represents the situation? What is the cost of 2 DVDs?
Answer:
get it down to a unit rate firstt by dividing the 129.5 by 7 dvds
$18.50
18.5x2=37
the 2 dvds were 37 dollars
Step-by-step explanation:
The basic operation that is used in finding the cost of n number of products is multiplication, if we know the cost of 1 article then we can find the cost of n numbers of articles by multiplying it with the cost of one article. Therefore, the cost price of 2 DVD's is $37.
Amee buys 7 DVDS for $129.50.
Thus,
The cost price of 7 DVDs is $129.50
We need to find the cost price of 2 DVDs.
First let us find the cost price of 1 DVD.
Therefore,
[tex]7 \;\rm{DVD's}= \$129.50\\1 \; \rm{DVD}=\frac{129.50}{7}\\1 \; \rm{DVD}=\$18.5[/tex]
Therefore, the cost price of 2 DVDs is $37.
To know more about cost price, please refer to the link:
https://brainly.com/question/20286603
Which functions are exponential function
( select all that apply )
Answer:
Step-by-step explanation:
The first and the last of these functions are exponential functions. Such functions can be recognized by the constant base and variable exponent found in each: 3^x, (5)^x, in this particular problem.
5x^2 is not an expo function because the base is not constant; this is called a power function.
the exponential function is f(x) = 3^x and 3(5)^x. Therefore, option a and d both are the correct answer.
The correct answers are f(x) = 3^x (choice A) and f(x) = 3(5) (choice D) for exponential functions, then it means you're considering a constant function (f(x) = 3(5)) as a simple form of an exponential function where the base is 3 and the exponent is 5.
This is a valid interpretation, but typically exponential functions are written as f(x) = a^x, where 'a' is a constant, and 'x' is the variable in the exponent.
In this case, if you're considering f(x) = 3(5) as an exponential function, it represents a specific case with a constant exponent.
So, both A and D can be considered as exponential functions depending on the context of the question.
Learn more about Exponential functions here:
https://brainly.com/question/28596571
#SPJ3
Round the number to the nearest thousand. 645,405
The answer is 645,000
Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a)How many ways can this be done, if the order of the choices matters? (b)How many ways can this be done, if the order of the choices does not matter?
Answer:
a) 20 ways
b) 10 ways
Step-by-step explanation:
When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.
Part a)
We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2
General formula of permutations of n objects taken r at time is:
[tex]nPr=\frac{n!}{(n-r)!}[/tex]
Using the value of n=5 and r=2, we get:
[tex]5P2=\frac{5!}{(5-2)!} =20[/tex]
Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.
Part b)
Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.
The general formula of combinations of n objects taken r at a time is:
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Using the value of n=5 and r=2, we get:
[tex]5C2=\frac{5!}{2!(5-2)!} =10[/tex]
Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.
Answer:
20
10
Step-by-step explanation:
just took the test
to fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ___
A. proportions
B. values
C. asymptotes
D. expressions
which fills the blank correctly
Answer:
C. asymptotes
Step-by-step explanation:
In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)
Function in the example:
[tex]\frac{(-2x-2)(2x-10)}{-9x-81} [/tex]
Final answer:
To complete a sign chart accurately, one needs to use test numbers surrounding each of the function's zeros and asymptotes, determining the sign of the function in those intervals. This helps in understanding the behavior of the function and solving inequalities.
Explanation:
To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and C. asymptotes which fills the blank correctly. When you're dealing with functions, especially rational functions, the sign of the function can change around its zeros and asymptotes. Zeros are the points where the function crosses the x-axis, and the function's value is zero. Asymptotes, on the other hand, are lines that the function approaches but never touches; the function's value heads towards positive or negative infinity as it gets close to an asymptote.
When creating a sign chart, you select test numbers from intervals between these critical points -- zeros and asymptotes -- to determine if the function is positive or negative in those intervals. This process helps to understand the behavior of the function across its domain and is essential in solving inequalities.
Here's an example:
Identify the zeros and asymptotes of the function.
Place these values in increasing order on a number line to define test intervals.
Choose a test number from each interval and substitute it into the function to check the sign.
Fill in the sign chart with the corresponding signs for each interval.
Hugo is buying DVDs that cost $15 each. He has a coupon for $5 off his total purchase. Write an equation to find the c the total amount he will spend on any number of DVDs d. Then use the equation to find the amount he will spend if he buys 6 DVDs.
Answer:
85
Step-by-step explanation:
15 times 6 is 90. This is how much money he spends on 6 DVDs if they're all $15. 90 subtracted by 5 (remember - he gets $5 off his entire purchase, not just each individual DVD) would be 85!
The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?
To find the largest of two numbers when given their product and sum, we can use the quadratic formula. Let's denote the numbers as 'a' and 'b'. We know that 'a * b = 24' and 'a + b = 10'. We can rewrite the second equation as 'b = 10 - a' and substitute it into the first equation. Solving the quadratic equation, we find that the larger of the two numbers is 6.
Explanation:To find the largest of two numbers when given their product and sum, we can use the quadratic formula. Let's denote the numbers as 'a' and 'b'. We know that 'a * b = 24' and 'a + b = 10'. We can rewrite the second equation as 'b = 10 - a' and substitute it into the first equation.
Substituting 'b' into the equation 'a * b = 24', we get 'a * (10 - a) = 24'. Expanding and rearranging the equation, we have 'a^2 - 10a + 24 = 0'. Solving this quadratic equation, we find that the values of 'a' are 4 and 6. Therefore, the larger of the two numbers is 6.
You invest $5,175.00 in a stock plan. It increases 9% the first year and then losses 5% of its value the second year. What is your gain compared to you original investment?
Answer: $183.71
Step-by-step explanation:
Original amount is $5,175.00
1st year: Increase of 9%
→ $5175(1 + 0.09)
= $5175(1.09)
= $5640.75
2nd year: Decrease of 5%
→ $5640.75(1 - 0.05)
= $5640.75(0.95)
= $5358.71
Gain: 2nd year - Original
→ $5358.71 - $5175.00
= $183.71
Answer:
$183.7
Step-by-step explanation:
We know that $5,175.00 was invested in a stock plan.
It increased by 9% in the first year:
[tex] 9% \times 5175.00 = 465.75 [/tex]
So value reached to (5175 + 465.75 = ) $5640.75
Then it second year, it lost 5% of its value:
[tex] 95% \times 5640.75 = $5358.7 [/tex]
Therefore, the gain compared to the initial original investment will be:
$5358.7 - $5175.0 = $183.7
the two figures are similar
Answer:
Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure.(the scale factor is greater than 1)
Part c) The scale factor is [tex]3[/tex]
Step-by-step explanation:
Part a) Write the similarity statement
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so
[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]
substitute the values
[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45}[/tex]
[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3}[/tex] ----> is true
therefore
the figures are similar
Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure. (the scale factor is greater than 1)
Part c) we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z------> the scale factor
x-----> corresponding side of the image
y------> corresponding side of the original figure
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=A'B'=27\ units[/tex]
[tex]y=AB=9\ units[/tex]
substitute
[tex]z=\frac{27}{9}=3[/tex]
The scale factor is greater than 1
therefore
Is an enlargement
Rewrite 0.01 as a power of 10
Here is your answer
B) [tex]\huge{10}^{-2}[/tex]
REASON:
0.01
=1/100
=1/
[tex] {10}^{2} [/tex]
=
[tex] {10}^{ - 2} [/tex]
HOPE IT IS USEFUL
Answer: 10 to the negative second power
Step-by-step explanation: To write 0.01 as a power of 10, first notice that 0.01 is a decimal which means that the exponent on our power of 10 will be negative.
To determine the value of the exponent, count the number of places we would need to move the decimal point in order to get 1.0.
In this problem, we would need to move the decimal point 2 places to get 1.0 which means that the exponent on our power of 10 will b -2.
Therefore, 0.01 can be written as 10 to the negative 2nd power.
Which situation could NOT represent a proportional relationship? A) The cost of purchasing candy bars at a price of $1.25 per candy bar. B) The number of cookies produced in a factory at a rate of 1,000 cookies per hour. C) The cost of transporting an automobile for a charge of $1.00 per mile with a pick-up fee of $100. D) The cost of a field trip to a museum for a group of high school students at a cost of $10.00 per student.
Answer:
Option C. The cost of transporting an automobile for a charge of $1.00 per mile with a pick-up fee of $100
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
verify each case
case A) The cost of purchasing candy bars at a price of $1.25 per candy bar.
Let
y------> the cost
x----> the number of candy bars
The linear equation that represent the situation is
y=1.25x -------> represent a proportional relationship
case B) The number of cookies produced in a factory at a rate of 1,000 cookies per hour
Let
y------> the number of cookies
x----> the number of hours
The linear equation that represent the situation is
y=1,000x -------> represent a proportional relationship
case C) The cost of transporting an automobile for a charge of $1.00 per mile with a pick-up fee of $100
Let
y------> the cost
x----> the number of miles
The linear equation that represent the situation is
y=x+100 -------> not represent a proportional relationship
case D) The cost of a field trip to a museum for a group of high school students at a cost of $10.00 per student
Let
y------> the cost
x----> the number of students
The linear equation that represent the situation is
y=10x -------> represent a proportional relationship
Answer: The answer is B.
Can someone please help me with math???
What is the value of 8 exponent 3+5x when x=12
Hey there!
When x=12 the equation would look like this: 3 + 5 * 12
Therefore, the answer is 63
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
PLZ HELP (40 POINTS)
3 QUESTIONS
Answer:
first one is D
second is B
third is B
Step-by-step explanation: