the graph F (x) and its transformation g (x)
which equation correctly models g (x)
Answers
Step-by-step explanation:
Answer is the third question
Related Questions
STILL LOOKING FOR THIS ANSWER. PLEASE HELP IF YOU CAN.
Alice is on the line x = 4, and she is √40 away from (2,3). What is the sum of the possible y-coordinates of the point Alice is at?
Answers
d^2 = (x1-x2)^2 + (y1-y2)^2
The givens are:
d = sqrt(40) .............> d^2 = 40
point 1 is (4,y1)
point 2 is (2,3)
Therefore,
x1 = 4
x2 = 2
y1 = y1
y2 = 3
Substitute with the givens in the above equation:
40 = (4-2)^2 + (y1-3)^2
40 = 4 + y1^2 - 6y1 + 9
y1^2 - 6y1 + 9 + 4 - 40 = 0
y1^2 - 6y1 -27 = 0
(y1-9)(y1+3) = 0
either: y1 = 9
or: y1 = -3
The equation y = 5x represents the amount of miles Fran runs in x days. When a graph of this situation is drawn, what does the point (1, 5) on the graph represent? (asap if possible)
Answers
Answer:
The answer is "in one day, Fran runs 5 miles"
Step-by-step explanation:
In order to determine the answer, I have attached an image that shows the graph of the equation. We know that "x" represents days and "y" represents miles that Fran runs.
In any function, the pairs of coordinates are represented by (x,y) that belong to the function.
So in this case, the pair (1,5) represents:
x=1
y=5
It means, in one day Fran runs 5 miles.
Farrah is writing a mathematical argument to show how much time she spends studying each week. Which data display is the most appropriate for her argument? A. table with all subjects and how much time she studies each subject every week B. graph of the relationship between her grades and number of hours she studies C. number sentence adding the hours she spends studying each week D. list of the names of each subject
Answers
The area of a circular pool cover is 314 square feet. Write and solve an equation to find the diameter of the pool cover. Use 3.14 for pie.
Answers
Step-by-step explanation:
First you need to know that A=πr^2
And the equation to find the diameter is d=2r
So, the equation is d=2√A/3.14
A is 314, so 314 divided by 3.14 is 10
So all that's left is d=2*10
And the diameter is 20 feet.
The diameter of the circular pool is 20 feet.
What is the diameter of the pool?A circle is a bounded figure which points from its center to its circumference is equidistant. The diameter is two times the value of the radius.
The first step is to determine the radius of the pool; Radius = √Area of a circle /π
Where :
π = pi = 22/7R = radius√314/3.14 = 10feet
Diameter 10 x 2 = 20 feet
To learn more about the area of a circle, please check: https://brainly.com/question/14351152
Simplify 1/5(-22.38-10.12)
Answers
1/5(-32.5)
1/5(-65/2)
-13/2 = -6 1/2 = -6.5
Please help me answer this Maths question.☺
***Must show step by step guide to how you got your answers***☺
Answers
y = (1/2)/(1/2 + 1/3)
y = (1/2)/(3/6 + 2/6)
y = (1/2)/5/6)
y = 1/2 * 6/5
y = 6/10
y = 3/5
(ii) x/(x - 1) - 1 =
= x/(x - 1) - (x - 1)/(x - 1)
= [x - (x - 1)]/(x - 1)
= (x - x + 1)/(x - 1)
= 1/(x - 1)
(iii) 4^(2x + 1) = sqrt(8)
4 = 2^2, and 8 = 2^3
(2^2)^(2x + 1) = sqrt(2^3)
2^(4x + 2) = (2^(3))^(1/2)
2^(4x + 2) = 2^(3/2)
4x + 2 = 3/2
4x = 3/2 - 2
4x = -1/2
x = -1/8
(iv) x - 3 = sqrt(3x - 11)
Square both sides.
(x - 3)^2 = ( sqrt(3x - 11) )^2
x^2 - 6x + 9 = 3x - 11
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
x = 4 or x = 5
Check:
For x = 4
x - 3 = sqrt(3x - 11)
4 - 3 = sqrt(3 * 4 - 11)
1 = sqrt(12 - 11)
1 = sqrt(1)
1 = 1
1 = 1 is a true statement, so x = 4 is a valid solution.
For x = 5
x - 3 = sqrt(3x - 11)
5 - 3 = sqrt(3 * 5 - 11)
2 = sqrt(15 - 11)
2 = sqrt(4)
2 = 2
2 = 2 is a true statement, so x = 5 is a valid solution.
10 PTS! HELP!
Create your OWN question of dividing polynomials
(your question should have an answer!)
Answers
Answer: 3/2x+7/4 with a remainder of 1/4
What is the equation in point-slope form for the line parallel to y = 5x - 4 that contains P(-6, 1)?
Select one:
a. x - 1 = -5(y + 6)
b. y + 1 = 5(x + 6)
c. y - 1 = -5(x + 6)
d. y - 1 = 5(x + 6)
PLS HELP
Answers
(-6,1) -6 is your x and 1 is y
y-1=5(x-(-6) or y-1=5(x+6)
D.
find the gcf of the monomial factor 15a-25b+20
Answers
What is 2 times pi times r?
pi is 3.14 or 22/7.
What is r?
Answers
r is the radius of the circle
if you know the diameter then you can divide the diameter in half to get the radius (example: diameter is 10 so the radius is 5)
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 .
What is the value of x?
Answers
Using substitution we get 8x + 8 = 2x + 38
Solve for x.
8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6
So, x is equal to 5.
if the pony is staked at the point (8,8) will the ponys path be interrupted by the fence
Answers
Answer:
Yes, it will be interruped by the fence.
Step-by-step explanation:
I am assuming you are dealing with a 10-foot long rope. The pony is making a circle with a raidus of 10 around the center, (8,8). If we were to draw a straight line from the center to the left that was 10 feet long, it would be horizontal to the stake, and it would go to (-2,8) (8-10,-8). Since the fence lies on the y axis, which is (0,y), but the coordinate (-2,8) has an x value that is less than 0, then the pony would crash into the fence.
this also works if you go down 10 feet to (8,-2) and the fence on the x axis has the coordinate (x,0)
Without additional details such as the length of the pony's tether and the location of the fence, it's not possible to definitively answer if the pony's path will be interrupted by the fence. This question involves understanding of coordinate systems and the concept of radius in geometry.
Explanation:The solution to this question depends on several factors not provided, including the length of the pony's tether and the location, shape, and size of the fence. The point (8,8) represents the pony's location in a two-dimensional coordinate system. If we know the length of the tether and the coordinates of the fence, we could then determine whether the pony's path would be interrupted by the fence.
For instance, if the pony's tether is 4 units long, then the pony can move in a circle (known as a radius) around the stake at (8, 8). If the fence is within that 4-unit radius, then the pony's path would be interrupted by the fence.
Without these additional details, we cannot provide a conclusive answer to this question. It's integral to have as much information as possible when working with coordinate systems and interpreting geometric movements and positions.
Learn more about Coordinate Systems here:https://brainly.com/question/32885643
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The length of a rectangular field is 30 more than twice its width. Write an expression in simplest form for the perimeter of the field in terms of its width w.
Answers
(w=Width)
So you would do 2(2w+30)+2w.
Simplifying this would give you:
4w+60+2w
This can be simplified further:
6w+60
I hope this helps!
The expression for the perimeter of a rectangular field where the length is 30 more than twice its width, in terms of the width w, is 6w + 60.
The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the length (l) of the rectangular field is 30 more than twice its width (w). So we can express the length as l = 2w + 30.
Substituting this expression into the perimeter formula, we get:
P = 2(2w + 30) + 2w
Simplifying this expression, we get:
P = 4w + 60 + 2w = 6w + 60
So, the expression for the perimeter of the field in terms of its width w is 6w + 60, which is already in its simplest form.
Explain how to estimate the length of the whale using compensation
Answers
Answer:
Assuming that the longest blue whale on record was about 18 scuba divers in length and a scuba diver is 6 feet length, we want to estimate the length of the whale.
Length of the whale = 18*6
You can multiply mentally by using compensation. Substitute a number for 18 that is easy to multiply.
20*6 = 120
Now adjust. Subtract 2 groups of 6, or 12.
120 - 12 = 108
and that is the length of the whale in feet
The solution to -5 m = -20 is negative.
True
or
False
Answers
20/5 = m
m = 4
Since we see the number 4 is a positive number and NOT negative, than the answer would be FALSE.
Answer:
False
Step-by-step explanation:
I had this same assignment
the quotient of nine times a number and seven
Answers
The quotient of nine times a number and seven
Carter can swim 25 yards of freestyle in 19 seconds what is the speed in yards per minute?
Answers
So 1,500 yards per 19 minutes or around 79 yards per minute
(i think)
Hope this helps!
ten times the square of a non-zero number is equal to seventy times the number
Answers
The number will be 7.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
'ten times the square of a non-zero number is equal to seventy times the number'
Now, Let a number = x
Then, By the given condition;
10x² = 70x
Solve the expression as;
10x² - 70x = 0
10x (x - 7) = 0
This given two condition,
10x = 0
x = 0
But the number is non zero, so x = 0 is not true.
Then, x - 7 = 0
x = 7
Thus, The number will be 7.
Learn more about the mathematical expression visit:
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Solve the equation using square roots. x^2 – 14 = –10
Answers
x^2 = -10 + 14
x^2 = 4....take the square root of both sides, eliminating the ^2
x = (+-) sqrt 4
x = 2 and x = -2
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
The given equation is
[tex]x^2-14=-10[/tex]
Add 14 to both sides of the equation.
[tex]x^2=-10+14\\\\x^2=4[/tex]
Now, take square root both sides. Whenever, we take square root both sides, we include plus minus sign
[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]
On simplifying, we get
[tex]x=\pm2[/tex]
A girl weighs 5/8 as much as her brother does. If the girl weighs 110 lb, how much does her brother weigh?
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Is 32,643 divisible by both 3 And 9 why or why not
Answers
32,643 divided by 9= 3,627
Both can be divided and result in whole numbers, no remainders.
what is one and one half divided by one and one sixth and what is three fourths divided by one and three eights (brainliest will be given)
Answers
Answer:
1. 3/7
2. 6/11
Step-by-step explanation:
One and one half divided by one and one sixth equals 1 2/7, and three fourths divided by one and three eights equals 6/11. To solve, convert mixed numbers to improper fractions, then multiply by the reciprocal of the divisor fraction.
To find out what one and one half divided by one and one sixth is, we first need to express these mixed numbers as improper fractions. One and one half is the same as 3/2 (since 1 + 1/2 = 2/2 + 1/2 = 3/2), and one and one sixth is the same as 7/6 (since 1 + 1/6 = 6/6 + 1/6 = 7/6). When we divide fractions, we multiply by the reciprocal of the divisor. So, (3/2) / (7/6) = (3/2) * (6/7) = 9/7, or 1 2/7 when expressed as a mixed number.
Next, to divide three fourths by one and three eights, we express these numbers as improper fractions as well. Three fourths is already an improper fraction, 3/4, and one and three eights is 11/8 (since 1 + 3/8 = 8/8 + 3/8 = 11/8). Dividing these gives us (3/4) \/ (11/8) = (3/4) * (8/11) = 24/44, which simplifies to 6/11.
What system of linear inequalities is shown in the graph? Enter your answers in the boxes. there should be two, I have an idea but still a little confused XP
Answers
[tex]<b><u>Equation of the dashed line</u></b>[/tex]
The equation of this line is given by the formula,
[tex]y = mx + c[/tex]
where m is the slope and c is the y -intercept.
From the graph,
[tex]m = \frac{rise}{run} = \frac{ + 4}{ - 1} = - 4[/tex]
and
[tex]c = 1[/tex]
Hence the equation of this line is
[tex]y = - 4x + 1[/tex]
Since the line is not solid it means the possible inequalities are
[tex]y < - 4x + 1 \: or \: y > - 4x + 1[/tex]
From the graph one of the solution sets is the origin, which has coordinates,
[tex](0,0) [/tex]
We can test the two inequalities with this point to determine the right one. That is,
[tex]0< - 4(0)+ 1 \: or \: 0> - 4(0)+ 1[/tex]
[tex]0< 0+ 1 \: or \: 0 > 0+ 1[/tex]
[tex]0< 1 \: or \: 0 > 1[/tex]
We can see that the first statement is true but the second is false.
This implies that the right inequality is;
[tex]y < - 4x + 1[/tex]
[tex]<b><u>Equation of the solid line</u></b>[/tex]
With the solid line,the slope is
[tex]m=\frac{1}{2}[/tex] and
[tex]c=-1[/tex]
Hence the equation is,
[tex]y=\frac{1}{2}x-1[/tex]
Since this line is solid, the possible inequalities are;
[tex]y\ge \frac{1}{2}x-1 \:or\:y\le \frac{1}{2}x-1[/tex]
Testing with the origin again, we have;
[tex]0\ge \frac{1}{2}(0)-1 \:or\:y\le \frac{1}{2}(0)-1[/tex]
[tex]0\ge -1 \:or\:y\le -1[/tex]
The second statement is true.
Hence the inequaliy of the solid line is,
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Therefore the system of inequalities are;
[tex]y < - 4x + 1[/tex]
and
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Answer:
the correct answer is in the image
Step-by-step explanation:
Milli plans to rent a room for her birthday party for $40. The catering charge is $12 per person but there is no charge for Milli's meal since she is the guest of honor. If Milli has $100 to spend on her birthday party, how many guests can she invite?
Answers
she has 100
subtract 40 for renting the room
100-40 =60
now divide 60 by 12 to find number of people
60/12 = 5
she can invite 5 people
what is the area of a square picture with 16 inch sides
Answers
To find the area, you take one side, (16) and multiply it by that number..
So, 16 * 16 = 256.
The area of a square with 16in sides is 256.
Hope this helps! ☺♥
Shaun collects coins. He has 24 quarters and 32 pennies in a jar. What is the ratio of quarters to pennies in the jar?
Answers
The ratio of quarters to pennies in Shaun's jar is 3:4, with 24 quarters and 32 pennies.
To find the ratio of quarters to pennies in the jar, we need to divide the number of quarters by the number of pennies.
Given:
Number of quarters = 24
Number of pennies = 32
The ratio of quarters to pennies can be expressed as:
[tex]\[ \text{Ratio} = \frac{\text{Number of quarters}}{\text{Number of pennies}} \][/tex]
Substitute the given values:
[tex]\[ \text{Ratio} = \frac{24}{32} \][/tex]
Now, simplify the fraction:
[tex]\[ \text{Ratio} = \frac{3}{4} \][/tex]
So, the ratio of quarters to pennies in the jar is 3:4 .
Out of the 25 students in Mrs. Green's class, 10 have a pet. What percent of the students in Mrs. Green's class have a pet?
Answers
40% of Mrs. Green's student has a pet.
In order to calculate this you:
First, you divide the low number by the high number. In this case that would be 10 / 25= 0.4.
Lastly, you will multiple the answer from your division (0.4) by 100. This would be 0.4 x 100= 40.
What are the slope and y intercept form for the graph of y+9x=-6
Answers
The slope of the graph for the equation y + 9x = -6 is -9, and the y-intercept is -6, which corresponds to the point (0, -6) on the y-axis.
The equation y + 9x = -6 can be re-written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To find the slope and y-intercept from the given equation, we need to isolate y on one side. Here's how we do it step-by-step:
Start with the given equation: y + 9x = -6.Subtract 9x from both sides to isolate y: y = -9x - 6.The slope (m) is the coefficient of x, which is -9, and the y-intercept (b) is the constant term, which is -6. Thus, the slope is -9, and the y-intercept is the point (0, -6) on the y-axis.
calculate the total resistance for a 650 ohm, a 350 ohm, and a 1000 ohm resistor connected in series
Answers
The total resistance for the given resistors connected in series is 2000 ohms.
Explanation:To calculate the total resistance for resistors connected in series, you simply add up the individual resistances. In this case, the resistances are 650 ohm, 350 ohm, and 1000 ohm. So the total resistance would be:
Total Resistance = 650 ohm + 350 ohm + 1000 ohm = 2000 ohm
A rectangle has length of 5.25 cm and area of 44.625 cm. What does the length of the rectangle have to be?
Answers
Answer: 8.25 cm
Step-by-step explanation:
We know that the area of rectangle is given by :-
[tex]\text{Area}=\text{Length}\times\text{Width}[/tex]
Given : The length of rectangle: l= 5.25 cm
The area of rectangle:[tex] A=44.625\ cm^2[/tex]
Substitute the values of A and l in the formula given above, we get
[tex]44.625=5.25\times\text{Width}[/tex]
Divide 5.25 both sides , we get
[tex]\text{Width}=\dfrac{44.625}{5.25}=8.5[/tex]
Hence , the other length of the rectangle have to be 8.25 cm.