Answer:The answer is (x,y)->(+4,y-5)
Step-by-step explanation:
since -4 to 0 is + 4 and 2 to -3 is -5
The correct mapping is (x, y) ⇒ (x + 4, y - 5)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).
Since the vertex Y(-4, 2) was translated to Y'(0, -3), hence the triangle was translated 4 units to the right (-4 + 4 = 0) and 5 units down (2 - 5 = -3). This can be represented by the mapping:
(x, y) ⇒ (x + 4, y - 5)
Therefore to find x and z coordinates, use the mapping:
(x, y) ⇒ (x + 4, y - 5)
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Scott borrowed money from the bank for repairs at an 8% interest rate, At the end of 1 year, he owed a total of $7992 in principal and interest. How much money did he borrow? a) Write the model first b) solve the equation.
Answer:
I = $3,772, P = $8,200, r = ?, t = 4 years
Step-by-step explanation:
just got it right on my quiz
When Isabel makes salad dressing, she likes to make it with 3 parts olive oil to 2 parts balsamic vinegar. If Isabel has 120 milliliters of olive oil (and a sufficient supply of balsamic vinegar), how many milliliters of salad dressing can she make? Thanks!
Let's say Olive oil = O, Balsamic Vinegar = B, Salad Dressing = S
For the salad dressing she uses 3 parts olive oil to 2 parts balsamic vinegar
So we can say for every 3 ml of olive oil, she needs 2ml of balsamic vinegar
We know she has 120ml of olive oil, so first step is to find how much balsamic vinegar she will be using.
Remember, for every 3 ml of Olive Oil, she needs 2ml of Balsamic Vinegar .
if you do 120 divided by 3 = 40
So she is making 40 times the amount of salad dressing.
This means you need to multiply the amount of balsamic vinegar by 40.
B = 40 times 2 = 80 ml
So now for the dressing we know :
She uses 120 ml of olive oil and 80 ml of balsamic vinegar.
So to find how many ml of salad dressing she can make, you just add the two.
S = O + B = 120 + 80 = 200 ml
Using proportions, it is found that she can make 80 milliliters of salad dressing.
This question is solved by proportions, using a rule of three.For 3 parts of olive oil, she uses 2 parts of balsamic vinegar. How many millilitres of vinegar when she has 120 millilitres of olive oil?The rule of three is:
3 parts of olive oil - 2 parts of balsamic vinegar.
120 ml - x ml
Applying cross multiplication:
[tex]3x = 2(120)[/tex]
[tex]3x = 240[/tex]
[tex]x = \frac{240}{3}[/tex]
[tex]x = 80[/tex]
She can make 80 milliliters of salad dressing.
A similar problem is given at https://brainly.com/question/24342347
Find the product... Please and thank you.
(x+7) (x+5)
Answer:
x+12x+35
Step-by-step explanation:
use the FOIL method!
A number used to multiply a variable is a
Answer:
The answer is coefficient. Does that help?
Find the difference 3 1/2 - 1 3/4
Answer:
1 3/4
Step-by-step explanation:
Answer:
1 3/4
Step-by-step explanation:
3.5 - 1 .75 = 1.75 = 1 3/4
Renee adds 5 to a number, then multiplies the sum by-2. The result is 8. Write and solve an equation to find the number, x. What is the number?
5/9 es mayor o menor a -4/9
Divide.
0.123.6
The quotient is
.
Answer:
0.0205
Step-by-step explanation:
I'm guessing you mean 0.123 ÷ 6
so 0.123 ÷ 6 = 0.0205
LOTS OF POINTS
Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Answer:
38.28
Step-by-step explanation:
ok so one of the sides don't count because the circle is there. so that leaves us with 14 + 14 + 4= 32(my bad)
then the circumference is for half the circle. and when finding the circumference you use radius so 2 cm. 2 x 3.14 x 2 = 12.56
then divide it by 2- 6.28
so that gives us 38.28
y = .5(x-2) 21
I need help with this problem
Answer:
x=2
Step-by-step explanation:
Substitute y=0 0=0.5(x-2) 21
multiply the numbers 0=10.5(x-2) *(21x0.5)
remove the parenthesis 0=10.5x-21
move the variable -10.5x=-21
divide both sides by -10.5
solution x=2
Solve by factoring: x² - 13 - 14=0
A. X = -2, x = 7
B. X = -1, x = 14
C. x = -14, x = 1
D. x = -7, X = 2
Answer:
I believe the answer is letter B.
Lynn's cable bill for watching television is a first rate of $50 per month plus $1.25 for every movie that she chooses to rent. After one month of service, she owed $66.2.
Answer:
$66.20=1.25x+50
Step-by-step explanation:
Be sure about the question. This problem is exactly the same to another one I did. So this should help.
Answer:
If the question is to reveal how many movies Lynn has watched, then...:
13 movies
Step-by-step explanation:
$50 is the monthly bill
$66.2 - $50 = $16.2 for movies
$16.2 / $1.25 = 12.96 movies .( or 13 movies)
Find the acute angle between the lines whose slopes are 2 & 1\3.
Answer:30 degrees
Step-by-step explanation:There are a couple of ways to do this.
This is the straightforward, “follow-your-nose” way. Find a point on each line. (Say, (1,2) on the line with slope 2 and (-1,1) on the line with slope -1. Then the angle in the triangle formed by the origin (0,0) and these other two point is the desired angle. One can find the cosine of angle in the triangle using the Law of Cosines, since the lengths of all of the sides can be found directly from the distance formula and the coordinates of the points. Finally, use arccosine to get from the cosine of the angle to the angle itself.
There is also a “slick” way, which relies on remembering the subtraction formula for tangents. tan(u-v) = [tan(u) - tan(v)] / [tan(u) + tan(v)]. Consider u as the angle between the positive x-axis and the line with slope -1, and v as the angle between the positive x-axis and the line with slope 2. Then the requested angle is u-v. We know tan(u) = -1 and tan(v) = 2, so substituting into the subtraction formula for tangents allows us to find tan(u-v). Finally, use arctangent of that value to find u-v.
. Ms. Ache is paid $1300 per week but is fined $100 each day she is late to work. Ms. Ache wants to make at least $3,000 over the next three weeks so she can take a vacation. Over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?
Answer:
1250(3) = 3750
3750 - 100d ≥ 3000
-100d ≥ -750
d ≤ 7.5
She can miss no more than 7 days to make $3000.
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.
Answer:
y= x/2-3
Step-by-step explanation:
Are the expressions: 3n - 1n + 7 and 2n + 10 - 3, for n=5
Answer:
17 Which means they are equal
All you have to do is replace n in the equasion.
Step-by-step explanation:
3(5) - 1(5) + 7
=17
2(5) + 10 - 3
=17
please send help i really need it lol thank u
Answer:
i think it is B
Step-by-step explanation:
Helps me solve this problem please
Answer: 1, 3, 5, 6
Step-by-step explanation: There cannot be the same x value for more than 1 y value.
2x - 3
A 3/2
B 6
C 9
D 15
Answer:
A: [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)[/tex]
[tex]2x-3=0[/tex]
[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]
[tex]2x-3+3=0+3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x=3[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{3}{2}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{3}{2}[/tex]
can someone help..convert 15/125 to a decimal in long division?
Answer:
the answer is 0.12
Step-by-step explanation:
You would do 15/125 which is 3/25
then you would do 25 times 4 and the 3 times for to get 12/100
then you would convert that into a decimal which is 0.12
Write an expression from the description. Then
evaluate the expression.
9 more than the quotient of -36 and -4.
(-36 ÷ -4) + 9
The expression equals 18.
Which of the following is equivalent to the complex number i51?
Choose 1 answer:
A.1
B.i
C.-1
D.-i
Answer:
Step-by-step explanation:
1
Answer: -i
Step-by-step explanation:
khan Academy
SOMEONE PLEASE HELP ME
In 2015, approximately 734.1 million tons of wheat were produced globally. China produced the most wheat of any country, at 130.2 million tons. What percentage of the world's wheat yield did China produce in 2015? Round your answer to the nearest whole number.
Answer:
China produced 18% of the world's wheat yield in 2015.
Step-by-step explanation:
To determine the percentage of the world's wheat yield China produced in 2015, we will divide the quantity of wheat China produced by the total quantity of wheat produced globally and then multiply by 100%.
From the question,
Wheat produced globally in 2015 = 734.1 million tons
Wheat produced by China in 2015 = 130.2 million tons
Percentage of the world's wheat yield China produced in 2015 =
(130.2 million tons / 734.1 million tons) × 100%
= 0.17736 × 100%
= 17.736%
= 18% ( to the nearest whole number)
Hence, China produced 18% of the world's wheat yield in 2015.
Grace swam a mile in 21 minutes. Jill swam a mile in 19.47 minutes. How
much faster did Jill swim than Grace?
Answer:
1.53
Step-by-step explanation:
because 21 minus 19.47= 1.53
Answer:
1 minute and 13 seconds
Step-by-step explanation:
Solve for x 10X^2+1=1001
Answer: 10
Step-by-step explanation:
Answer:
x = 10 and -10
Step-by-step explanation:
10x^2 +1 = 1001
Subtract one from each side
10x^2 = 1000
Divide 10 on each side
x^2 = 100
Take the square root on each side
x = 10 and -10
which number is the largest?
A) 7.2 • 10^-6
B) 3.09 • 10^3
C) 2.04 • 10^4
D) 5 • 10^3
A. Tis would definitely be the largest
I really need help!!!!!!!!!!!!!!!!!!!!! Im so confused between 1st and 4th.... welp
Answer:
you are correct it is a
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
Dan and David win some money and share It into the ratio 5:2 Dan gets £55.how much did they win in total?
Answer:
$77
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
because den whose part is 5:2 got 55, then you should divide 55 by 5 and get 11, then multiply 11 by 2 equals 22.
55 + 22 = 77
PLEASE HELP!
Which graph represents f(x) = 1/2x^5
The solution is option a)
How to graph an equation?
To graph an equation using the slope and y-intercept. Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). Next, plot the y-intercept. From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Given data ,
Let the function be f ( x ) = ( 1 / 2 ) x⁵
Now , to know which graph represents the equation mentioned, you can put some values of x in the equation and evaluate the value of y
So , when x = 1
y = ( 1 / 2 )
when x = 2
y = ( 1 / 2 ) × 2⁵
= 2⁴
= 16
when x = -1
y= ( 1 / 2 ) × ( -1 )⁵
= - ( 1 / 2 )
So , by plotting all the points of x and y in the graph , Option a ) satisfies the solution
Hence , the solution is Option a)
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