The transformation on the graph of y = -2x²- 5 is described as 5 units downward.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
As per the given information:
The graphs are let f(x) = y = -2x²- 5 and g(x) = y = -2x².
As per the definition, the transformation on the graph can be described as,
-5 < 0.
The graph shifts downward.
Therefore, the graph of y = -2x²- 5 is 5 units down than y = -2x².
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ3
Recycled newspaper sells for $5.00 for 1 ton. The United States recycled 6.6 million tons of newspaper during 1991. Use the distributive property to find how much money was made from the sale of recycled newspapers in 1991.
Answer:
$33,000,000
Step-by-step explanation:
Recycled newspaper sells for $5.00 for 1 ton.
Let x ton be the amount recycled in 1991 by U.S.
so to represented this situation expression will be F(x) = 5 x
Now we replace x = 6.6 million tons
≈ 6.6 × [tex]10^{6}[/tex] tons
Total money made by recycling 6.6 × [tex]10^{6}[/tex] tons
= 5 × 6,600,000
= $33,000,000
In 1991 U.S. made $33,000,000 from the sale of recycled newspapers.
what is the slope of a line perpendicular to the line represented by the equation x=2y+3?
To begin, we need to find the slope of the equation x = 2y + 3. The easiest way to find the slope is to put this equation into slope-intercept form, y=mx+b, where the variable m represents the slope. To do this, we must get the variable y alone on the left side of the equation. First, we subtract 2y from both sides.
x = 2y + 3
-2y + x = 3
Next, we subtract x from both sides.
-2y = -x + 3
Finally, we divide both sides by -2 (there cannot be a coefficient on the variable y in this form).
y = 1/2x + 3
Therefore, the slope of this equation is 1/2. However, we are looking for the slope of a line that is perpendicular to this one. This means that it creates four 90 degree angles where the lines cross, and it has the opposite reciprocal slope.
The opposite reciprocal of 1/2 is -2 (you take the opposite in this case by changing the value from positive to negative, and take the reciprocal by switching the numerator and the denominator).
Thus, your answer is -2.
Hope this helps!
The slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
Explanation:The equation given is x = 2y + 3. To find the slope of a line perpendicular to this line, we need to determine the slope of the given line. The given equation is not in slope-intercept form, which is y = mx + b, where m represents the slope. So, we can rewrite the equation in slope-intercept form by rearranging it as 2y = x - 3 and then dividing both sides by 2, giving us y = (1/2)x - (3/2).
The slope of the line represented by this equation is 1/2. To find the slope of a line perpendicular to this line, we take the negative reciprocal of the slope of the given line. The negative reciprocal of 1/2 is -2. So, the slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
A line with a slope of -2 will have a steepness that is twice as steep as the line represented by the equation x = 2y + 3.
A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground at a distance of 15 ft from the base poke. What is the exact length of each guy wire? how much wire should be purchased if it cannot be purchased in franctions of foot
PLEASE HELP
Write the standard equation of the circle in the graph.
Question 12 options:
(x – 3)2 + (y + 2)2 = 18
(x – 3)2 + (y + 2)2 = 9
(x + 3) + (y – 2) = 9
(x + 3)2 + (y – 2)2 = 18
The standard equation of the circle based on the given options is (x - 3)2 + (y + 2)2 = 18, which suggests a circle with a center at (3, -2) and a radius of 3√2.
The student asks to write the standard equation of the circle in the graph. To do this, we need to identify the factors of the circle equation, which are the center coordinates
(h,k) and the radius r. The general form of a circle's equation is (x - h)2 + (y - k)2 = r2. Since the radius is the square root of the number on the right-hand side
of the equation and the center coordinates come from the values that x and y are subtracted by, we can determine the equation based on the options provided. One of the statements provided by the student, (x + 3)2 + (y - 2)2 = 18, fits the right form but it suggests the wrong center coordinates and radius. The correct standard equation of a circle based on the given options would be the one with center coordinates (3, -2) and a radius of √18, which can be simplified to 3√2. This information alongside the provided options leads us to select (x - 3)2 + (y + 2)2 = 18 as the correct standard equation of the circle in question.
What is the linear function that best fits the data set?
A bacteria culture starts with 150 bacteria and after 4 hours the population consists of 250 bacteria.what is the rate of the increase to the nearest percent?
a.11%
b.13%
c.15%
d.17%
The rate of increase of the bacteria population is found by calculating the population increase (final amount - initial amount), dividing by the initial amount, and multiplying by 100 to get the percentage. The calculated value is 66.66%, which doesn't match with any of the provided options.
Explanation:The subject of this question is bacterial population growth, which falls under the mathematics category, specifically in the section known as growth rates. To find the rate of increase of the bacteria population, first, we have to find the increase in the population amount, which is the final amount (250 bacteria) minus the initial amount (150 bacteria). This gives us an increase of 100 bacteria.
Next, divide this increase (100) by the initial amount (150 bacteria) and multiply by 100 to convert it to a percentage. This gives the formula (250-150)/150*100 = 66.66%. But among the provided choices, we don't have this exact value, which implies that there might be a miscommunication or typographical error in the question.
Learn more about Bacterial Population Growth here:https://brainly.com/question/14992076
#SPJ2
3^7=2187 converting from exponential to logarithm
It can be written as [tex]\rm{log_32187 = 7}[/tex].
LogarithmA log function is a way to find how much a number must be raised in order to get the desire number. [tex]a^c = b[/tex] can be written as
[tex]\rm{log_{a}b= c}[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
[tex]\rm{log_{10}1000 = 3}[/tex]
Given to us,
Exponential, [tex]3^7 = 2187[/tex]
Now, a = 3, b= 2187, and c = 7.
Therefore, it can be written as [tex]\rm{log_32187 = 7}[/tex].
Learn more about Logarithm:
https://brainly.com/question/7302008
Please help!!! Will give brainly if correct!! 50 points
Answer:
175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
How do I do this one ?
What is the area of the figure? The diagram is not drawn to scale.
The area of a 2D form is the amount of space within its perimeter. The area of the given parallelogram is 812 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure is a parallelogram, and the area of the parallelogram is given by the formula,
Area of parallelogram = Base × Altitude
= 29 in × 28 in
= 812 in²
Hence, the area of the given parallelogram is 812 in².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ2
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 1 liters below the first, x liters below the second, and x plus 1 liters below the third. How many liters of water can the three containers hold in all?
Answer:
It's A 3x
Step-by-step explanation:
I just did the test it's 3x hope this helped. :)
What equation represents the asymptote of g(x)=e^x+4?
Final answer:
The horizontal asymptote of the function g(x) = e^x + 4 is the line y = 4.
Explanation:
The question asks about the asymptote of the function g(x) = e^x + 4. An asymptote is a line that a graph approaches but never touches. To find the horizontal asymptote of this function, observe that as x approaches positive or negative infinity, the term e^x either grows very large or approaches zero. Therefore, the term +4 determines the horizontal asymptote since it shifts the entire graph of e^x up by 4 units. Thus, the horizontal asymptote is the line y = 4, which means the function approaches this line but never reaches it for x tending toward positive or negative infinity.
if Andy's home is worth 260,000, what is his coverage for personal property if insurance covers 50 percent?
Answer:
Amount covered by insurance = 130000
Step-by-step explanation:
Cost of Andy's home = 260000
Percentage covered by insurance = 50%
Amount covered by insurance = 50% of Cost of Andy's home
= 50% of 260000
= 0.50 * 260000 [50% written as a decimal is 0.50]
= 130000
The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42 meters.
length = 13m, Width = 8m.
not enough information.
length = 15m, Width = 6m.
length =1 11m, Width = 10m.
Answer:
the dimensions of rectangle are length = 15 m and width = 6 m
Step-by-step explanation:
Given; The width of a rectangle is [tex]\frac{2}{5}[/tex] its length i.e, [tex]w=\frac{2}{5}l[/tex]
and perimeter of rectangle is 42 meters.
Perimeter(P)of a rectangle in meters is given by:
[tex]P = 2(l+w)[/tex] ; where [tex]l[/tex] is the length of the rectangle and w is the width of the rectangle.
then, substitute the value of P =42 m and [tex]w=\frac{2}{5}l[/tex] in above formula we get;
[tex]42 = 2(l+\frac{2}{5}l) =2 \cdot (\frac{7}{5}l)[/tex]
divide both side by 2 we get;
[tex]21=\frac{7}{5}l[/tex]
On Simplify:
[tex]l = \frac{21 \cdot 5}{7} =3 \cdot 5 =15[/tex] m
Now, substitute the value of [tex]l = 15[/tex] m in [tex]w=\frac{2}{5}l[/tex] to solve for w;
[tex]w= \frac{2}{5} \cdot 15 =2 \cdot 3 =6[/tex] m
Therefore, the dimensions length = 15 m and width = 6 m
Which of the following equations is non-linear?
A. 5x + 1 = -4x + y
B. y - 2 = 3x + |-2|
C. x + 4y = 2y + 15 - x
D. y + 10y - 3 = 2|x| - 4y
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
For Gavin, E= 8865
What is Gavin’s mass
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot how high off the ground is the top of the ladder?
A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft
A quadrilateral has angle measures of 84°, 107°, and 58°.
What is the measure of the fourth angle?
Enter your answer in the box.
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, which of these expressions represents the value of the most money she can borrow?
The correct option is A.
Vanessa can borrow approximately $6255.57, represented by option A: [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex].
To determine the value of the most money Vanessa can borrow with a monthly payment of $1405 for a 20-year house loan with an APR of 4.8%, compounded monthly, we can use the formula for the monthly payment of a mortgage:
[tex]\[P = \frac{M}{\frac{r}{12} \left(1 - \left(1 + \frac{r}{12}\right)^{-nt}\right)}\][/tex]
Where:
P = Principal amount (the amount she can borrow)
M = Monthly payment ($1405)
r = Monthly interest rate (APR divided by 12, or 0.048/12)
n = Number of times the interest is compounded per year (12 for monthly)
t = Number of years (20)
Now, let's plug in the values and solve for P:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-12*20}\right)}\][/tex]
Let's calculate the exponent and simplify:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-240}\right)}\][/tex]
Now, we can simplify the monthly interest rate:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1.000333333\right)^{-240}\right)}\][/tex]
[tex]\[P = \frac{1405}{0.333333 \left(1 - 0.328624967\right)}\][/tex]
Now, let's calculate the value inside the parentheses:
[tex]\[P = \frac{1405}{0.333333 \times 0.671375033}\][/tex]
[tex]\[P \approx \frac{1405}{0.22487499}\][/tex]
Now, calculate P:
P ≈ 6255.57
So, Vanessa can borrow approximately $6255.57.
The correct expression that represents the value of the most money she can borrow is:
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
The complete question is here:
Vanessa can afford a [tex]$\$ 1405$[/tex]-per-month house loan payment. If she is being offered a 20-year house loan with an APR of [tex]$4.8 \%$[/tex], compounded monthly, which of these expressions represents the value of the most money she can borrow?
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
B. [tex]$\frac{(\$ 1405)\left((1-0.048)^{240}-1\right.}{(0.048)(1+0.048)^{249}}$[/tex]
C. [tex]$\frac{(\$ 1405)\left((1-0.004)^{200}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
D. [tex]$\frac{(51405)\left((1+0.048)^{200}-1\right)}{(0.048)(1+0.048)^{240}}$[/tex].
Using the formula for monthly loan payment, we find Vanessa can borrow up to $220,000 with a 20-year loan at 4.8% APR.
To find the maximum amount Vanessa can borrow, we can use the formula for the monthly payment of a loan:
[tex]\[ P = \frac{A \times r}{1 - (1 + r)^{-n}} \][/tex]
Where:
- P = monthly payment
- A = loan amount (the value we want to find)
- r = monthly interest rate (APR divided by 12)
- n = total number of payments (number of years multiplied by 12)
Given:
- Monthly payment ( P) = $1405
- APR ( r ) = 4.8% = 0.048
- Loan term = 20 years
First, we calculate r :
[tex]\[ r = \frac{4.8}{100 \times 12} = 0.004 \][/tex]
Then, calculate n:
[tex]\[ n = 20 \times 12 = 240 \][/tex]
Now, plug the values into the formula and solve for A:
[tex]\[ 1405 = \frac{A \times 0.004}{1 - (1 + 0.004)^{-240}} \][/tex]
Solve for A:
[tex]\[ A = \frac{1405 \times (1 - (1 + 0.004)^{-240})}{0.004} \][/tex]
[tex]\[ A \approx \$220,000 \][/tex]
So, Vanessa can borrow a maximum of $220,000.
The question probable maybe:
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, What is the value of the most money she can borrow?
The following data needs to be put into a stem-and-leaf plot.36.7, 38.1, 35.4, 37.4, 39.0, 33.6, 34.7, 36.9, 38.7, 35.5, 36.8, 33.7, 34.8, 39.7, 37.2, 36.8Which list shows all the stems needed to accurately create a stem-and-leaf plot?1. 32. 3, 4, 5, 6, 7, 8, 93. 0, 1, 2, 4, 5, 6, 7, 8, 94. 33, 34, 35, 36, 37, 38, 39
Answer:
The last one. Which is choice D.
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square root of 12 D. fraction numerator square root of 64 over denominator square root of 4 end fraction
The point (1, 4) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
Answer: first event 12/35 times second event 10/34
12/119
Last week Jackson read 262.5 pages of a new adventure book. If he read for 5.25 hours how many pages did Jackson read per hour?
Answer: 50 pages per Hour
Step-by-step explanation:
the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting recatangle is 126 in2. What was the original side length of the square
The original side of square is [tex]10\;\rm{in[/tex].
Given: the dimensions of a square are altered so that [tex]8[/tex] inches is added to one side while [tex]3[/tex] inches is subtracted from the other. The area of the resulting recatangle is [tex]126\;\rm{in^2}[/tex].
As per question,
Let the side of square be [tex]x[/tex].
According to the question,
Length of new rectangle be [tex]x+8[/tex].
Breadth of new rectangle be [tex]x-3[/tex]
Area of rectangle [tex]=l\times b[/tex]
[tex](x+8)(x-3)=126[/tex]
[tex]x^2+8x-3x-24=126\\[/tex]
[tex]x^2+5x-150=0[/tex]
[tex]x^2+15x-10x-150=0\\x(x+15)-10(x+15)=0\\[/tex]
[tex](x+15)(x-10)=0\\[/tex]
So, [tex]x=10\;\rm{in[/tex] and neglecting [tex]x=-15\;\rm{in[/tex] as distance can't be negative.
Hence, original side of square is [tex]10\;\rm{in[/tex].
Learn more about area of rectangle here:
https://brainly.com/question/16309520?referrer=searchResults
Find the area of this shape
Suppose a map company wants to produce a globe with a surface area of 450 in2. use the formulaa equals 4 πr squared , where a is the surface area and r is the radius of the sphere. to the nearest tenth, what is the radius of the sphere? inches
Please help me!! Thankyou!!
How much would it be to get 67.1 to 73.3?
(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY
Create a public service announcement in Spanish on severe weather procedures to encourage the community to be prepared. Use the graphic organizer to help organize your ideas and to write the vocabulary that you need to create your public service announcement. Refer to pages 1, 2 and 3 of the lesson area for terms and ideas to help you fill out the organizer and, ultimately, create your PSA.
This announcement can be a flyer, a radio message, or a TV message.
You can select the severe weather event that is approaching or imminent.
Describe the severe weather event and tell the community how to protect themselves before, during, or after the weather event.
Include at least 10 ideas related to the severe weather event and the procedures to get prepared
El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima
Read more on Brainly.com - https://brainly.com/question/10109035#readmore