Answer:
See explanation
Step-by-step explanation:
Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)
G (-1, 3) G' (-1.5, 4.5)
F (-2, -2) F' (-3, -3)
G'x / Gx = -1.5/-1 = 1.5
G'y / Gy = 4.5 / 3 = 1.5
F'x / Fx = -3 / -2 = 1.5
F'y / Fy = -3 / -2 = 1.5
got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was $3.48 left on the card, how many yards of ribbon did
The length of ribbon is 48 yards.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kala got a prepaid debit card with $15.
Price of Ribbon = 24 cents per yard.
After purchase money left $3.48.
So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents
length of ribbon = 1152/ 24
= 48 yards
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To factor 4x^2-25, you can first rewrite the expression as:
a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above
To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:
b. (2x)^2 - (5)^2
Using the difference of squares formula, we can factor it as follows:
(2x + 5)(2x - 5)
Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.
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HELLPPPP !!!! i need help with the answer I'm stuck!
Answer:
1. f(x)= -2x^2-12x-19
2. f(x)= 2x^2+12x+17
3. f(x)= -2x^2+12x-17
4. f(x)= 2x^2-12x+17
Step-by-step explanation:
Hope this helps!
Answer: f(x)=-2x^2+12x-17 is the 3rd picture (vertex at (3,1))
f(x)=2x^2-12x+17 is the 4th picture (vertex at (3,-1))
f(x)=2x^2+12x+17 is the 2nd picture (vertex at (-3,-1))
f(x)=2x^2+12x-17 does not correlate to a picture.
f(x)=-2x^2-12x-19 is the 1st picture (vertex at (-3,-1))
The following table shows the earnings for the Juarez family last year. Solve the problem.
Month
Earnings
Month
Earnings
Jan.
Feb.
Mar.
Apr.
May
June
$1400
$1150
$2950
$2300
$1650.
$2700
July
Aug.
Sept.
Oct.
Nov.
Dec...
"$1300
$2450
$2500
$2000
$2350
$2400
32) If the family paid of their total income in taxes for the year, how much was paid in taxes?
25
A) $4320
B) $4024
C) $4736
D) $3360
Answer:
It's mixed up... I don't think it can be solved
Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?
Answer: 1/10
Step-by-step explanation:
Answer:
1/10 pound
Step-by-step explanation:
If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.
Suppose y varies directly with x. When
X is 2, y is 10. What is y when x is 4?
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?
Answer:
25
Step-by-step explanation:
Answer:
21 answers.
Step-by-step explanation:
First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:
70% = 70/100 = 0.70
Next, multiply 0.70 with the total amount of questions (30):
30 x 0.70 = 21
21 answers must be correct.
Check:
Divide 21 with 30:
21/30 = 0.70 = 70%
~
Which pair of undefined terms is used to define a ray?
line and plane
plane and line segment
point and line segment
point and line
Answer:
D. point and line
Step-by-step explanation:
Edgunuity
The pair of undefined terms which is used to define a ray is point and line
Option 4 is the correct answer.
What are a line, line segment, and ray?Line - It has no fixed points it extends infinitely on both ends.
Line segment - It has two fixed endpoints and does not extend infinitely on any end.
Ray - It has one fixed point on one side and extends infinitely on the other side.
We have to define a ray.
A ray will have a fixed point on one end and extends infinitely on the other end.
i.e a point and a line.
Thus the pair of undefined terms which is used to define a ray is point and line
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PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
Infinitely many solutions
Step-by-step explanation:
6x+18=2(3x+9)
6x+18=6x+18
Since both sides are equal to each other, then there are infinitely many solutions because no matter what x is, both sides will be equal to each other.
Answer:
infinite many solutions, (C)
Step-by-step explanation:
Once you distribute you get 6x+18 on both sides. Meaning that the answer is this has infinite many solutions.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
how solve this equation (-2+1)^2+5(12/3)-4
Step-by-step explanation:
(-1)^2+(5×4)-4
=1+20-4
=17
Answer:
(-2+1)^2+5(12/3)-4
First opening the brackets
(-1)^2+60/3-4
1+60/3-4
1+20-4
21-4
17 is the answer
Step-by-step explanation:
I hope this will help you :)
-2 = k+7/3 solve for x and show work this is all the info i have dont get this deleted
Answer:
\( - 2 = k + \frac{7}{3} \\ - 2 \times 3 = k + \frac{7}{3} \times 3 \\ - 6 = k + 7 \\ - 6 - 7 = k + 7 - 7 \\ - 13 = k \\ or \\ k = - 13\)
Answer:
-13/3
Step-by-step explanation:
-2=k+7/3
k=-2-7/3
k=-6/3-7/3
k=-13/3
Please mark me as Brainliest if you're satisfied with the answer.
3(x+7)+12x-7(x+1)+9-4x
Need answer and explaintion
Answer:
4
x
+
23
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
follow the steps to solve each system by eliminationx+3y=-7-x+2y=-8
Multiplying so both equations have the same leading coefficient
In this case the coefficient of x of the first
x + 3y = -7
is 1
and for the second
-x + 2y = -8
the coefficient is -1
We multiply the second by -1 both sides, so the coefficient is +1
-x + 2y = -8
-1 (-x + 2y ) = -1( -8)
x -2y = 8
Now we have
x + 3y = -7
x -2y = 8
Step 2:Subtracting the second equation from the first
x + 3y = -7
x -2y = 8
Substracting them:
What is the slope of the line? Please help (50 points) I really need to turn in this assignment.
Make a rational equations with the following requirements
vertical asymptote x= 5, x=-5
x intercepts (2,0) (1,0)
Y intercept (0,4)
Answer:
\(f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}\)
Step-by-step explanation:
Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):
\(f(x)=\dfrac{?}{(x-5)(x+5)}\)
Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):
\(f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}\)
Now substitute the point (0, 4) and solve for A:
\(f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50\)
So final rational function:
\(f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}\)
Evaluate the expression: −(8 − 12) + 60 + (−4)2
Answer:
Step-by-step explanation:
here you go mate
step 1
−(8 − 12) + 60 + (-4)2 Equation/Question
step 2
−(8 − 12) + 60 + (-4)2 simplify
-(-4)+60+(-4)(2)
4+60+(-4)(2)
64+(-8)
answer
56
The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.
What is the arithmetic operator?Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.
Addition = addition of two or more numbers or variable
For example =3 + 4
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example =8 - 9
Division = divide any two numbers or variable called division.
For example 7/3
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 4.
Given,
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".
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The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25 What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
How to determine the average rate of change?From the question, we have the following ordered pairs
x intercepts = (6,0) and (18, 0)
Vertex = (12, -36)
Points (21, 41.25)
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using
m = [f(21) - f(18)]/[21 - 18]
This becomes
m = [f(21) - f(18)]/3
Substitute the known values in the above equation
m = [41.25 - 0]/3
Evaluate the difference
m = 41.25/3
Evaluate the quotient
m = 13.75
Approximate
m=14
Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
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Complete question
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
See attachment for graph
One serving of a certain brand of yogurt contains 11 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
The amount of fat that the low-fat yogurt contains is 6.9575 g.
It is given in the question that:-
Amount of fat in a certain brand of yogurt = 11g
Percentage of fat less in the low-fat yogurt version = 36.75 %
We have to find the amount of fat in the low-fat yogurt.
We know that,
The amount of fat in the low-fat yogurt = Amount of fat in a certain brand of yogurt - Percentage of fat less in the low-fat yogurt version
Now,
36.75 % of 11g = 4.0425 g
Hence, we can write,
The amount of fat in the low-fat yogurt = 11g - 4.0425g = 6.9575 g
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Find the surface area of the box shown
Construct a difference table to predict the next term of the sequence.
-1, 6, 24, 56, 105, 174, 266, ...
The difference table for the sequence (-1, 6, 24, 56, 105, 174, 266) reveals a cubic pattern, where the third differences are constant at 3. Based on this pattern, the next term in the sequence is predicted to be 289.
The difference table for the given sequence (-1, 6, 24, 56, 105, 174, 266):
Term | First Difference | Second Difference | Third Difference
----------------------------------------------------------------------------------------------------------
-1
6 7
24 18 11
56 32 14 3
105 49 17 3
174 69 20 3
266 92
To construct the difference table, we start by writing down the given sequence. Then, in the first column, we calculate the differences between consecutive terms. In the second column, we calculate the differences between the values in the first difference column. Similarly, in the third column, we calculate the differences between the values in the second difference column.
Analyzing the difference table, we observe that the third differences are constant at 3. This indicates a cubic pattern in the sequence, where the difference between consecutive terms is increasing by a constant amount each time.
To predict the next term, we take the last term of the sequence (266) and add the next difference (23) to it:
Next term = 266 + 23 = 289
Therefore, based on the pattern observed in the difference table, the next term in the sequence is predicted to be 289.
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THE FIRST ANSWER GETS BRAINLIEST AND 50 POINTS
9(x-5)+8(x+5)
Answer:
17x - 5Step-by-step explanation:
9(x - 5) + 8(x + 5) = open parenthesis9x - 45 + 8x + 40 = collect like terms and simplify17x - 5\(\\ \sf\longmapsto 9(x-5)+8(x+5)\)
\(\\ \sf\longmapsto 9x-45+8x+40\)
\(\\ \sf\longmapsto 9x-8x-45+40\)
\(\\ \sf\longmapsto x-5\)
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He
randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw
$30 in tokens?
A.1/9
B.2/9
C.1/3
D.4/9
Answer:
b
Step-by-step explanation:
The answer is 132 ft
Answer:
Lol, thank you for telling me this information..
A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $20 and $2 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $30 plus $1 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How much would each restaurant donate?
Answer:
Let's call the number of diners at the Italian restaurant x, and the number of diners at the Mexican restaurant y. We can set up the following system of equations to represent the problem:
Italian restaurant: $20 + 2x = $30 + $1y
Mexican restaurant: $30 + $1y = $20 + 2x
Subtracting $20 from both sides of the first equation and $30 from both sides of the second equation, we get:
Italian restaurant: 2x = $10 + $1y
Mexican restaurant: $1y = $10 + 2x
Multiplying both sides of the first equation by 1/2, we get:
x = $5 + $0.5y
Substituting this expression for x in the second equation, we get:
$1y = $10 + 2($5 + $0.5y)
Expanding the expression on the right side, we get:
$1y = $10 + $10 + $1y
Subtracting $1y from both sides, we get:
0 = $10
This equation is true, so the system of equations is consistent.
Since the total donations from each restaurant would be the same, we can set the total donations equal to each other and solve for the number of diners at each restaurant. The total donation from the Italian restaurant is $20 + 2x, and the total donation from the Mexican restaurant is $30 + $1y. Setting these expressions equal to each other, we get:
$20 + 2x = $30 + $1y
Subtracting $20 from both sides and $1 from both sides, we get:
2x - 2 = $10 + $1y - $1
Combining like terms on both sides, we get:
2x - 2 = $10 + $1y - $1
2x - 2 = $9 + $1y
2x - $9 - $1y = 2 - $9
2x - $1y = -$7
Dividing both sides by 2, we get:
x - $0.5y = -$3.5
Substituting this expression for x in the first equation, we get:
$20 + 2(-$3.5) = $30 + $1y
Simplifying the expression on the left side, we get:
$20 - $7 = $30 + $1y
Subtracting $20 from both sides, we get:
-$7 = $10 + $1y
Subtracting $10 from both sides, we get:
-$17 = $1y
Dividing both sides by -1, we get:
$17 = -$1y
Multiplying both sides by -1, we get:
-$17 = $1y
Dividing both sides by $1, we get:
-$17/$1 = $1y/$1
Simplifying the expression on the left side, we get:
-17 = y
Thus, the number of diners at the Mexican restaurant is -17, and the number of diners at the Italian restaurant is x = $5 + $0.5y = $5 + $0.5(-17) = $5 - $8.5 = -$3.5.
Since the number
Select the four points that appear on the line with the given slope and y-intercept
Slope: 2/3 y-intercept = -9
A- (2,3)
B- (0,-9)
C- (1,9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Answer:
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y = mx + b
Being m the slope and b the y-intercept.
We are given the values of m=2/3 and b=-9, so the equation of the line is:
y = 2/3 x - 9
We must select from the list below the points that lie on the line. To test each point, we substitute the value of x and calculate the value of y. If it matches the given y-coordinate, then the point lies on the line.
A- (2,3)Calculate: y = 2/3 (2) - 9 = -23/3.
This point is not on the line because -23/3 ≠ 3
B- (0,-9)Calculate: y = 2/3 (0) - 9 = -9.
This point is on the line because -9 = -9
C- (1,9)Calculate: y = 2/3 (1) - 9 = -25/3.
This point is not on the line, because -25/3 ≠ 3
D-(9,-3)Calculate: y = 2/3 (9) - 9 = -3.
This point is on the line because -3 = -3
E-(6,-5)Calculate: y = 2/3 (6) - 9 = -5.
This point is on the line because -5 = -5
F-(3,-7)Calculate: y = 2/3 (3) - 9 = -7.
This point is on the line because -7 = -7
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)