If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?
(–2, 0)
(0, –2)
(5, –7)
(5, –2)
Answers
the coordinates of point B ( -5,0)
the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)
the answer is
(0, –2)
Answer:
[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]
Step-by-step explanation:
From the diagram, B has coordinates [tex](-5,0)[/tex].
We want to find the coordinates of B' after a translation by the rule;
[tex](x,y)\rightarrow(x+5,y-2)[/tex],
We apply the rule to obtain;
[tex]B(-5,0)\rightarrow B'(-5+5,0-2)[/tex],
This implies that;
[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]
Therefore the correct answer is B
Related Questions
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Horizontal translations:
Suppose that h> 0:
To graph y = f (x + h), move the graph of h units to the left.
Answer:
option B
So, G(x) is F(x) shifted 6 units to the left.
Thus, the correct answer is option B
hey can you please help me posted picture of question
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The solution is listed below:
[tex]3 x^{2} +27 \\ \\ =3( x^{2} +9) \\ \\ =3( x^{2} +3^{2}) \\ \\ =3( x^{2} -(3i)^{2}) \\ \\ =3(x-3i)(x+3i) \\ \\ =(3x-9i)(x+3i) [/tex]
hey can you please help me posted picture of question
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y = x³
hey can you please help me posted picture of question
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If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
Since, the given function has two distinct roots i.e. it cross x-axes at two different points, its discriminant will be positive.
So, the answer to this question is option C
the original value of an investment is $1,800. if the value has increased by 7% each year, write an exponential to model the situation. then, find the value of the investment after 15 years
Answers
y = A (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 1800 * (1.07) ^ t
For 15 years we have:
y = 1800 * (1.07) ^ 15
y = 4966.256773 $
Answer:
An exponential to model of the situation is:
y = 1800 * (1.07) ^ t
the value of the investment after 15 years is:
y = 4966.256773 $
The value of the investment after 15 years is approximately [tex]$4,410.67.[/tex]
To model the situation where an investment of [tex]$1,800[/tex] increases by 7% each year, we can use the exponential growth formula:
[tex]\[ A = P(1 + r)^t \][/tex]
where:
-[tex]\( A \)[/tex]is the amount of money accumulated after n years, including interest.
- [tex]\( P \)[/tex]is the principal amount (the initial amount of money).
- [tex]\( r \)[/tex]is the annual interest rate (in decimal form).
-[tex]\( t \)[/tex] is the time the money is invested for, in years.
Given:
[tex]- \( P = \$1,800 \)[/tex]
[tex]- \( r = 7\% = 0.07 \)[/tex](as a decimal)
-[tex]\( t = 15 \)[/tex] years
We substitute these values into the formula to get:
[tex]\[ A = 1800(1 + 0.07)^{15} \][/tex]
Now, we calculate the value of[tex]\( A \):[/tex]
[tex]\[ A = 1800(1.07)^{15} \][/tex]
Using a calculator, we find:
[tex]\[ A \approx 1800 \times (1.07)^{15} \approx 1800 \times 2.45037 \][/tex]
[tex]\[ A \approx \$4,410.67 \][/tex]
Therefore, the value of the investment after 15 years is approximately [tex]$4,410.67.[/tex]
Write the quotient as a mixed number. 33 ÷ 5 = 6 R2
Answers
33 / 5 = 6 R3 which is equal to 6 and 3/5
Which logarithmic graph can be used to approximate the value of y in the equation 3y = 7?
Answers
3^y = 7
applying log both members
log(3^y)=log 7
y*log 3=log 7
y=log 7/log 3
using the logarithmic graph of y=log x
I graphically determine the values for x = 3 and x = 7
see the attached figure
for x=3
log 3=0.48
for x=7
log 7=0.85
therefore
y=log 7/log 3-----> y=0.85/0.48-----> y=1.77
the answer is
the approximate value of y is 1.77
Find the relative rate of change of the function f(x)=150-0.08x^2
Answers
The relative rate of change will be given by:
f(x)=150-0.08x^2
the first derivative is given by:
f'(x)=-0.16x
thus the answer is:
f'(x)=-0.16x
What is 84%, percent of 300?
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(300/x)*x=(100/84)*x - we multiply both sides of the equation by x
300=1.19047619048*x - we divide both sides of the equation by (1.19047619048) to get x
300/1.19047619048=x
252=x
x=252
84%= 252
You have to multiply 84x300, then divide it by 100.
simplify 5p2 5p3?
whats the answer
Answers
[tex] \frac{ {5p}^{2} }{5 {p}^{3} } = \frac{5}{5p} = \frac{1}{p} [/tex]
Answer C.
Explanation:
First divide the expression by p^2 and second divide by 5. Now we've found the simplified expression and our answer.
~ Hope this helps you!
what is a factor of 4x^2+36x+72
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[tex]4x^{2}+36x+72=4(x+3)(x+6)[/tex]
hey can you please help me posted picture of question
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The conjugate of 1 - 4i is 1 + 4i
So, we can write:
[tex] \frac{2+i}{1-4i}* \frac{1+4i}{1+4i} \\ \\ = \frac{2+8i+i-4}{1+16} \\ \\ =\frac{-2+9i}{17} \\ \\ = \frac{-2}{17} + \frac{9i}{17} [/tex]
So, the correct answer is option B
There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.
Answers
365x24=8760 hours
8760x60=525 600 minutes
Dividing 2.6 million to the last number (525 600), we find death per minute in this country, which gives us more than 4 deaths in a minute.
Sherrod deposits $500 each year in a savings account earning 3% interest compounded annually. He makes no withdrawals. How much interest will the account earn after 3 years?
Answers
The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n) (nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (500)
r = the annual interest rate (.03)
n = the number of times that interest is compounded per year (1)
t = the number of years the money is invested (3)
A=5000(1+.03/1)^1(3)
A=546.36
Interest (I) gained is A-P
I=546.36-500
I=46.36
List all the pairs of integers with a product of 30
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1 x 30
2 x 15
3 x 10
5 x 6
Then multiply these with negative integers which will result in a positive answer.
-1 x -30 (This means the opposite of one groups of negative 30, which is posiitve 30).
-2 x -15
-3 x -10
-5 x -6
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
Answers
We have to find value of the house in 8 years so we will plug t=8 years in given equation.
[tex] y=150000(1.004)^{\left(12t\right)} [/tex]
[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]
[tex] y=150000(1.004)^{96} [/tex]
[tex] y=150000(1.46702133432) [/tex]
[tex] y=220053.200148 [/tex]
Hence house will worth approx $220053.20 in 8 years.
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
Solution:
Equation of the appreciation of the value of house is given by:-
[tex]y=150000(1.004)^{12t}[/tex]
We need to find the worth of the house after 8 years
So, that means time, t=8
Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]
So, we get,
[tex]y=150000(1.004)^{12*(8)}[/tex]
[tex]y=150000(1.004)^{96}[/tex]
[tex]y=150000(1.467021)[/tex]
y=150000*1.467021
y=220053.20
In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320
hey can you please help me posted picture of question
Answers
The solutions are: 1 + 6i and 1 - 6i
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
x² - 2x + 37 = 0
By comparison:
a = 1
b = -2
c = 37
Now, to get the solutions of the equation, we will use the quadratic formula shown in the attached image.
By substitution in this formula, we would find that:
either x = [tex] \frac{2+ \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 + 6i[/tex]
or x = [tex] \frac{2- \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 - 6i[/tex]
Hope this helps :)
For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?
Answers
Explanation:
Since the question is incomplete and confusing, here I rephrase it:
A theater box office sold:
356 tickets at $80 apiece,
275 tickets at $60 apiece, and
369 tickets at $45 apiece.
How much money did the box office take in?
The problem is solved by multiplying the number of tickets at each price and adding all the partial sums:
This is:
356 tickets × $80 / ticket = $28,480
275 tickets × $ 60 / ticket = $16,500
369 tickets × $45 / ticket = $16,605
Sum = $28,840 + $ 22,000 + $ 16,605 = $ 61,585
If this is what your question means, then;
1. 356 tickets at $80 apiece2. 275 tickets at $60 apiece3. 369 tickets at $45 apiece
Just multiply the number of tickets per class to its corresponding price:356 tickets * $80 / ticket = $28,480275 tickets * $ 60 / ticket = $16,500369 tickets * $45 / ticket = $16,605
Total = $28,840 + $ 22,000 + $ 16,605
Total = $ 61,585
The total earnings is $ 61,585
To choose a mascot for a new middle school, 8th-grade students were polled, and their top choice was selected as the mascot. Was the sample a biased sample?
Answers
Answer:
Yes, the sample was biased.
Step-by-step explanation:
We are told that to choose a mascot for a new middle school, 8th-grade students were polled, and their top choice was selected as the mascot.
We know that an unbiased sample is an accurate representation of the entire population and it can help us draw conclusions about the population.
For an unbiased sample each member of a population should equally likely to be chosen and the sample should be representative of the population as a whole.
For an unbiased sampling for mascot students should be chosen randomly from each grade of the middle school.
Since all the students were polled from the same grade, so their choice can not represent the choices of all the students of the school, therefore, the sample was a biased sample.
six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch diameter pizza for 15.00. Both prices include tax and tip. The friends agree that their best choice is the one that gives them the most pizza for their money. which is the best choice?
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So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is [tex] \pi r ^2[/tex]; So the area for one of these 10 in. pizzas would be [tex] \pi (5)^2[/tex] or 25[tex] \pi [/tex].
We have two of these pizzas, so the total area that we would get with $14 would be 25[tex] \pi [/tex]*2 or 50[tex] \pi [/tex].
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be [tex] \pi (7)^2[/tex] or 49[tex] \pi [/tex].
So for $15 we can buy 49[tex] \pi [/tex] worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50[tex] \pi [/tex].
require help with this question
Answers
1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k
bi) Π₁ can be written using r = (x, y, z).
Π₁ ⇒ 3x +2y +z = 4
bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
Π₂ ⇒ 2x +3y -z = 5
c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.
A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.
A car dealer buys a new car for $24,500. The dealer then marks the car's price up 27%
What is the selling price of the car?
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hope this helped. please mark as brainliest!
Javier is evaluating the expression (-8)[10 + (-5) + (-8)]
Multiplying the numbers 10, -5, and -8 by a certain number and then adding the three products together will give Javier the fully simplified evaluated expression. What is that number?
Answers
The number that will give Javier the fully simplified evaluated expression is 24.
Explanation:To evaluate the expression (-8)[10 + (-5) + (-8)], we need to multiply the numbers inside the parentheses by a certain number and then add the three products together. Let's solve it step by step:
Multiplying -8 by 10: (-8) * 10 = -80Multiplying -8 by -5: (-8) * (-5) = 40Multiplying -8 by -8: (-8) * (-8) = 64Add the three products: -80 + 40 + 64 = 24Therefore, the number that will give Javier the fully simplified evaluated expression is 24.
Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the measure of each part?
Answers
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees
The measure of the each part of the large circle is 90 degrees.
What is the measue of each part?
A circle is a bounded figure which points from its center to its circumference is equidistant. The sum of angles in a circle is 360 degrees.
Measure of the angle of each part = 1/4 x 360 = 90 degrees
To learn more about a circle, please check: https://brainly.com/question/14351152
PLZ HELP ASAP TANGENTS OF CIRCLES
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m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
Answer: 50°
Write the sum using summation notation, assuming the suggested pattern continues. 16 + 25 + 36 + 49 + ... + n2 + ...
Answers
Answer:
Hence, the sum using summation notation, assuming the suggested pattern continues [tex]16+25+36+49+......+n^2+.....[/tex] is:
[tex]\sum_{n=4}^{\infty}n^2[/tex]
Step-by-step explanation:
We have to write the sum using summation notation, assuming the suggested pattern continues:
[tex]16+25+36+49+......+n^2+.....[/tex]
Clearly we may also write this pattern as:
[tex]4^2+5^2+6^2+.....+n^2+......[/tex]
So, in terms of the summand it is written as:
[tex]\sum_{n=4}^{\infty}n^2[/tex]
( We have started our summation from 4 since the term in the summation starts with 16 which is 4^2 and goes to infinity )
hey can you please help me posted picture of question
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A horizontal line test will ensure that the function is one-to-one. This means each y value is paired with exactly one x-value.
If this is true for the function, we can ensure that the inverse will have exactly one x value paired with only one y value and thus will pass the horizontal line test.
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?
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Which expression is equivalent to [log9+1/2logx+log(x^3+4)]-log6
Answers
Remember the follwing rules:
log(ab)= log(a) + log(b)
log(a/b)=log(a) - log(b)
log(a)^b = b log(a)
Based on these rules, we can write the above expression as a single logarithm, as shown below:
[tex]log(9)+ \frac{1}{2}log(x)+log( x^{3}+4)-log(6) \\ \\ =log(9)+ log(x)^{ \frac{1}{2} } +log( x^{3}+4)-log(6) \\ \\ =log( \frac{9 \sqrt{x}( x^{3}+4) }{6} ) \\ \\ =log( \frac{3 \sqrt{x}( x^{3}+4) }{2} )[/tex]
Answer:
A.) log 3 sqrt x(x^3+4)/2
Information about the age of participants in a robotics competition is below: A box plot titled "Age of Participants" and labeled "Age" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 31 on the number line. A line in the box is at 16. The whiskers end at 11 and 33. The middle 50% of the data is between what two numbers?
Answers
The middle 50% of the age of participants in the robotics competition falls between 13 and 31.
Explanation:The box plot represents the age distribution of participants in a robotics competition. The box extends from the lower quartile (Q1) to the upper quartile (Q3), which in this case are 13 and 31, respectively. The line within the box represents the median, which is 16. The whiskers represent the range of the data, ending at 11 and 33.
To find the middle 50% of the data, we need to determine the values that lie between Q1 and Q3. Therefore, the middle 50% of the age of participants in the robotics competition falls between 13 and 31.
Learn more about Age distribution of participants in a robotics competition here:https://brainly.com/question/23356364
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