The process of transformation under translation means that
the figure is simply change into another position. That is, the angles, the
lengths or any other characteristic is unchanged except for the position of the
figure in the Cartesian coordinate alone.
We are given the function in the form of:
f(x) = x^2
Which can also be written as:
y = x^2
Since the translation made is to move the figure 7 units up, then this means that the y coordinate is increased by 7. The given equation is a parabola pointing up with vertex at (0, 0). So moving it up would move the vertex at point (0, 7). The vertex of y is represented by the variable b, therefore b = 7 which further gives us the function:
y' = x^2 + 7
or
g(x) = x^2 + 7
What is three ratios that are equivalent to 18:4
write an expression with an exponent that has a value between 0 and 1
Okay, so first, we find a number that is between 0 and 1.
A number that qualifies for that condition would be ½.
A property of exponents is x^(n/m) = √x m sqrt(x^n), so x^(1/2) = √x
Therefore, such expression is:
x^(1/2) = 4
Where you now solve for x.
Exponential notation is a common language that is
needed in order to communicate mathematical ideas efficiently and clearly.
Efficiently written repeated multiplication was the reason that this notation was
developed.
An example of this is the division of cells that causes growth to occur in
living organisms. A single type of cell is divided 2 times in an hour,
therefore in 12 hours, the cell will divide into 2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
• 2 • 2 • 2 • 2 time, or as efficiently written, 2^12.
Kris forwards an e-mail to 5 people. each of those people forward that e-mail to 5 more people. if this happens two more times, which expression shows the total number of people who have received the e-mail, not including Kris?
A) 4 x 5
B) 1+5+5^2
C)5+5^2+5^3
D) 5+5^2+5^3+5^4
The total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3.
Explanation:The expression that shows the total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3 (option C).
Kris forwards the e-mail to 5 people, so there are initially 5 recipients.Each of those 5 people forwards the e-mail to 5 more people, resulting in 5 x 5 = 25 additional recipients.After the second round of forwarding, each of the 25 people forwards the e-mail to 5 more people, resulting in 25 x 5 = 125 additional recipients.To find the total number of people who have received the e-mail, you sum up the number of recipients at each stage: 5 + 25 + 125 = 155. Therefore, the expression 5 + 5^2 + 5^3 represents the total number of people who have received the e-mail, not including Kris.
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Help me pleas win really stuck!!!
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
y = 3x - 4
x = 9
A. (9, 31)
B. (1, -1)
C. (0, -4)
D. (9, 23)
The required solution of the system is (x, y) = (9, 23). Option D is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
To solve the system of equations using the substitution method, we substitute x = 9 into the first equation:
y = 3(9) - 4
y = 27 - 4
y = 23
Therefore, the solution of the system is (x, y) = (9, 23).
So, the correct answer is option D, (9, 23).
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A water cooler holds 1,284 ounces of water. How many more 6 ounce glasses than 12-ounce glasses can be filled from the cooler
If 5 key chains cost $11.25 then 15 key chains cost $
in a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length what does this describe ?
Compare and contrast the absolute value of a real number to that of a complex number
Consider a real number in two dimensional plane that X axis and Y axis having ordered pair : P(x,y) or (3,4).
To find it's absolute value we will find it's Distance from origin.
As Coordinate of Origin = (0,0)
Absolute Value of OP = [tex]\left | OP \right |[/tex]
= [tex]\sqrt{(0-x)^2+(0-y)^2}=\sqrt {x^2+y^2}[/tex]
If the point is Q(3,4)
[tex]\left | OQ \right |=\sqrt{3^2+4^2}=\sqrt{5^2}=5[/tex]
In case of a complex number :
Z = a + bi , we consider two axes Real Axis and Imaginary Axis.
We represent Z that is (a,b) in the same way that we represent point in two dimensional plane.
To find it's absolute value , we will find it's distance from origin.
[tex]\left | Z \right |= \sqrt{a^2+b^2}[/tex]
If [tex]Z_{1}[/tex] = 6 + 8 i
[tex]\left | Z_{1}\right |=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54 square feet. If x represents the length, then the length can be found by solving the equation: x(x−3)=54x(x-3)=54 What is the length, x, of the garden?
I can't remember the steps to solving this.
A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month. Which inequality can be used to determine how many more minutes Tom can use this month without going over the 500-minute limit?
Answer:
230+m_<500 the line is meant to be under the sighn btw
Step-by-step explanation:i got it right on edge 2021
To determine how many more minutes Tom can use without exceeding his limit, we use the inequality X ≤ 270, which indicates that Tom can use up to 270 additional minutes.
To determine how many more minutes Tom can use this month without exceeding a 500-minute limit, given that he has already used 230 minutes. To solve this, we let X represent the additional minutes Tom can use. Since he has already used 230 minutes, we form the inequality 230 + X ≤ 500 to ensure that the total does not surpass the 500-minute limit. Simplifying this inequality, we subtract 230 from both sides to get X ≤ 270. Therefore, Tom can use up to 270 more minutes without incurring extra charges.
what is the y-intercept of y=4x?
What is the measure of angle 4?
What is the difference between dividing 16 by 2 and finding the square root of 16 ?
Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of the zoos exhibits featured lions?
Which statement is true about the line segments below
The probability that you will get grounded if you have a bad grade is 85%. The probability that you will get grounded and have extra chores is 50%. What is the probability that you will have extra chores given that you are already grounded?
Determine the zeros of f(x) = x3 + 7x2 + 10x − 6
Number four please and please explain how to find perimeter only using vertices
mr lippman bought a dryer for 160 bucks and sold it for 240 bucks. if overhead expenses were 20% of the selling price, what was the rate of profit on the selling price?
six more than five times a number X is at least 21
PLEASE ANSWER FOR BRAINLIEST
ANSWER IF UR SURE 11 Points
ANSWER 6 & 7
6) answer is B , random sampling produces a representative sample
7) 0.1 = 10% so the answer is A, he saves 10% of his income
Please help!!!
Which of the following best describes interval C on the graph shown?
Linear constant
Linear decreasing
Linear increasing
Nonlinear increasing
why are people down voting the answer above me? Anyways, the answer is A. linear constant
This is because of the fact that a linear constant is a straight horizontal line that stays, as it says, constant, that is until you go to the next interval.
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant height of the pyramid if Helen uses all the clay? 3 inches 4 inches 5 inches 6 inches
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = [tex]a^2=6^2=36\ inches^2[/tex]
we know that volume of square right pyramid=[tex]\frac{1}{3}\times\ a^2h[/tex]
Therefore, volume of square right pyramid made by all of clay=[tex]\frac{1}{3}\times\ a^2h[/tex]=48 cubic inches
[tex]\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}[/tex]
Now, slant height [tex]l=\sqrt{(\frac{a}{2})^2+h^2}[/tex]
[tex]\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5[/tex]
The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
The correct answer would be 5 inches.
Step-by-step explanation:
Which answer does NOT correctly describe the graph of y = 5x + 12?
The answer choices are 1. The Line Has A Constant Rate Of Change 2. The Graph Contains The Point (5, 12) 3. The Line Crosses The y-axis 12 Units Above The Origin 4. The Slope Of The Line Can be written as 5/1
2. The Graph Contains The Point (5, 12)
ExplanationRemember that in a linear function of the form [tex]y=mx+b[/tex], [tex]m[/tex] is the slope/rate of change of the line and [tex]b[/tex] is the y-intercept.
From our equation we can infer that [tex]b=12[/tex], so the y-intercept of our graph is 12 units above the origin on the point (0, 12). Therefore, choice 2 correctly describe the graph of y = 5x + 12
We can also infer that [tex]m=5[/tex], so the slope of our line is 5, which is constant, so our line has a constant rate of change. Also, since every integer can be written as a fraction with denominator 1, we can write our slope as [tex]m=\frac{5}{1}[/tex]. Therefore, choices 1 and 2 correctly describe the graph of y = 5x + 12.
Now, remember that any point on the plane has coordinates [tex](x,y)[/tex], so, to check if a point is on a line, we just need to replace the [tex]x[/tex] and [tex]y[/tex] values in the line equation and check if the equation holds. Our point is (5, 12), so x = 5 and y = 12. Lets replace the values in our line:
[tex]y=5x+12[/tex]
[tex]12=5(5)+12[/tex]
[tex]12=25+12[/tex]
[tex]12\neq 37[/tex]
Since the equation equation doesn't hold (12 is not equal 37), we can conclude that the graph doesn't contain the point (5, 12). Therefore, choice 2 does NOT correctly describe the graph y = 5x +12.
Answer:
The graph contains the point (5,12)
I got it right on t t m
What is the mean and mode of the data set shown below? {2, 4, 5, 6, 8, 2, 5, 6}
The mean and mode of the data set shown would be 4.75 and 2, 5 and 6 are modes.
How to find mean of a data?Mean is the ratio of sum of the observations to the total number of observations.
The given set of data is follows as;
{2, 4, 5, 6, 8, 2, 5, 6}
The mean can be calculated by adding all numbers and dividing by the count:
(2+4+5+6+8+2+5+6)/8
= 38/8
= 4.75
The mode is the number that occurs most often.
this is the case for 2, 5, and 6.
A data set can have multiple modes. 2, 5 and 6 are modes.
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Sam rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 75 cents for each mile driven. Sam had to pay $159.49 when he returned the truck. For how many miles did he drive the truck?
Final answer:
Sam drove 186 miles with the truck he rented. To calculate this, the total paid was subtracted by the base fee, and the result was then divided by the per-mile charge.
Explanation:
The student is asked to calculate the number of miles driven by Sam based on the total cost of truck rental and the additional charge per mile. We use a linear equation to represent the total cost (C) as the sum of the base fee (F) and the product of the number of miles (m) and the charge per mile (P).
The equation for this problem is:
C = F + (P × m)
We are given:
The total cost of rental (C) = $159.49
The base fee (F) = $19.99
The charge per mile (P) = $0.75/mile
Substituting the values we have into the equation gives us:
$159.49 = $19.99 + ($0.75 × m)
To find the number of miles (m), we need to isolate the variable m. We do this by subtracting the base fee from the total cost:
$159.49 - $19.99 = $0.75 × m
$139.50 = $0.75 × m
Now, divide both sides by the charge per mile to get:
m = $139.50 / $0.75
m = 186 miles
Therefore, Sam drove 186 miles.
Given quadrilateral ABCD with sides, 3, 3, 5, 5 respectively, identify the type of quadrilateral
How many tens are in 1,000