Given the similarity transformation of ABC to ADEF,
AABC was dilated by a scale factor of 2, because the triangle DEF was increased by 2 of the triangle ABC.
Dialated by a scale factor of two, reflected across the x axis, and transformed three units left
Therefore ABC was dilated by a scale factor of 2
Hence the correct answer is Option A
Which polynomial is represented by the algebra tiles?
x2 – x – 4 x2 – x + 4 3x2 – 5x + 8 3x2 – 5x – 8
Answer:
x2 – x + 4
Step-by-step explanation:
Just took the test on edg
Which of the following rational functions is graphed below?
o
A. F(x) = 1/2x
B. AX) = 1/x-2
C. F(x) = 1/x+2
Answer:
Option B.
Step-by-step explanation:
We can see that we have an asymptote at x = 2
Remember that in a rational function, the asymptote is at the x-value such that the denominator is equal to zero.
So, the denominator is something like:
(x + a)
we have that the denominator is zero when x = 2
Then:
(2 + a) = 0
solving that for a, we get:
a = -2
Then the denominator of the rational function is:
(x - 2)
For the given options, the only one with this denominator is option B, then the correct option is B.
Answer:
B. f(x) = 1/x-2
Step-by-step explanation:
Math is ez bro.
Consider the following information. 1 hour = 3.6 · 10^3 seconds 1 day = 24 hours 1 year = 3.65 · 10^2 days Use scientific notation to calculate the number of seconds in 3 days.
Answer:
2.592 x 10^5
Step-by-step explanation:
1st step: Calculate for 1 day.
if 1 hour = 3.6 X 10³
24 hrs = (3.6 x 10³) X (2.4 x 10¹)
= 3.6 x 2.4 X 10⁴
= 8.64 x 10⁴
2nd Step: Calculate for 3 days;
if 1 day = 8.64 x 10⁴
3 days = (8.64 x 10⁴) X (0.3 x 10¹)
= 8.64 x 0.3 x 10^5
= 2.592 x 10^5
Omg!! Please help!! Thank you
Answer:
the first one since it shows all the lines being equal and therefore making the angles equal
Answer:
AB=DE, BC=EF, AC=DF
Step-by-step explanation:
The first one is correct
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
Please help me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
Learn more about set operations here
https://brainly.com/question/17469840
#SPJ2
Functions A,B and C are linear functions. Some values of function A are shown in the table. Function B has y-intercept of (3,0) and a x-intercept of (5,0). Function C is defined by the equation y=3x+1.
HERES THE TABLE
X. 3,5,6
Y. 3,7,9
Help pre- algebra
:DD
Answer:
Calzones are $ 8 and an Empanada costs $12
Step-by-step explanation:
2x+3y=52
4x+3y=68
Multiply by -1
-2x-3y=-52
4x+3y=68
combine
2x=16
x=8
plug in 8
4(8)+3y=68
32+3y=68
3y=36
y=12
Step-by-step explanation:
step 1. 2c + 3e = 52, 4c + 3e = 68.
step 2. this is a system of equations. solve the system.
step 3. subtract the 1st equation from the 2nd.
step 4. 2c = 16, therefore c = 8.
step 5. 2(8) + 3e = 52. 3e = 36. e = 12.
step 6. calzones = 8, empanadas = 12.
Which pair shows equivalent expressions? A. 3(x+2)=3x+6 B. 3x+2x=x squared(3+2) C. 3x+2=3(x+2) D. -3(2+x)=-6x-3
Answer: A.
Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
Learn more about Arithmetic Sequence on:
https://brainly.com/question/6561461
#SPJ1
100yards equals how many feet
Answer: 300 ft
Step-by-step explanation:
100*3 = 300
One-third (x minus 2) = one-fifth (x + 4) + 2?
Answer:
x = 26
Step-by-step explanation:
The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0, 9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
O The maximum number of solutions is one.
O The maximum number of solutions is three.
O The circle has a radius equal to 3.
The circle has a radius less than 9.
As a result, there must be an x value such that the inequality is no longer true, and the parabola and the circle must intersect as a result.
The circle is centered at the origin on a coordinate grid, and the vertex of an upward-opening parabola is located at (0, 9). If the circle has a radius less than 9, the parabola and the circle must intersect.Let's suppose that the upward-opening parabola is y = ax² + 9. Since its vertex is (0, 9), this implies that a > 0, and therefore the parabola opens upwards. Since the circle is centered at the origin and has a radius less than 9, its equation is x² + y² < 81.We can substitute y with ax² + 9 in the inequality x² + y² < 81 and obtain:x² + (ax² + 9)² < 81This simplifies to:(a² + 1) x^4 + 18a² x² + 64 < 0Since the left-hand side of the inequality must be less than zero, it must be negative. Since x² is always non-negative, it follows that a² + 1 > 0. Thus, (a² + 1) x^4 + 18a² x² + 64 < 0 cannot be true for all x
for more search question inequality
https://brainly.com/question/25275758
#SPJ8
Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answer: 450
Step-by-step explanation: 95+115+240=450
PLS HELP ASAP I NEED IT PLS
Step-by-step explanation:
The equation for this function is y=2x
So 32*2=64
36/2=18
2*x=2x
y/2=y/2
2x*2=4x
(x+3)*2=2x+6
Find an expression for the volume of a rectangular prism with a length of (x + 5), width of (x - 4) and a height of (x-7)
Given:
The length of a rectangular prism is (x + 5), the width is (x - 4), and (x - 7).
To find:
The expression for the volume of the rectangular prism.
Solution:
It is known that the volume of the rectangular prism is given by:
\(V=l\times w\times h\)So, the volume of the given rectangular prism is:
\(\begin{gathered} V=(x+5)(x-4)(x-7) \\ =(x^2+5x-4x-20)(x-7) \\ =(x^2+x-20)(x-7) \\ =x^3+x^2-20x-7x^2-7x+140 \\ =x^3-6x^2-27x+140 \end{gathered}\)Thus, the expression for the volume of the rectangular prism is x^3 - 6x^2 - 27x + 140.
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
WWhich graph shows a set of ordered pairs that represent a function?
On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).
On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2), (1, 1), (2, negative 5), (4, negative 3), (4, 4).
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).hat is the inverse of the function f(x) = 1/4x – 12?
The inverse function of f(x) is:
\(f^-1(x) = 4(x + 12)\)
The graph that shows a set of ordered pairs that represent a function is the first one:
On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).
To determine if a set of ordered pairs represents a function, we need to check if each input value (x) is associated with only one output value (y). In the first graph, for each x-value, there is only one corresponding y-value, so it is a function.
As for the second question, to find the inverse of the function f(x) = 1/4x – 12, we first need to replace f(x) with y:
y = 1/4x – 12
Next, we swap the x and y variables and solve for y:
x = 1/4y – 12
x + 12 = 1/4y
4(x + 12) = y.
For similar question on inverse function.
https://brainly.com/question/11735394
#SPJ11
Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute.
Wendy's water tank contains 97.8 gallons of water. Wendy will begin draining her water tank at a rate of 0.9 gallon per minute.
After how many minutes will both water tanks contain the same amount of water?
Answer: 30 minutes
Step-by-step explanation:
If 1/4in on a map represents 1 meter, how many meters does 4/5in represent?
Answer:
3 1/5 meters
Step-by-step explanation:
1/4 in. on map ⇒ 1 meter in real life
1/4 can also be written as 5/20⇒ 1/20 = 1/5 meter⇒ 4/5 in. = 16/20 inches
⇒ 16/20 inches = 1/5 x 16 = 3 1/5 meters
Pls help I’ll brainlest asap
Answer:
4(3 + 20)
Step-by-step explanation:
Since the 4 is shared among the two terms, we factor it out and write what is left over inside the parenthesis: 4(3 + 20).
12=4*3
80=4*20
4(3 + 20)
So 12 +80 = 4(3 + 20) = 92
What number is the opposite from 6.8
A. -6.8
B. 8.6
C. 68
D. -8.6
The answer is A. -6.8
Dan earns a commission of 15% on his sales. Last month his sales were: $550.23, $793.23,
$1,110.22, $325.23, and $669.94. Find his commission.
9514 1404 393
Answer:
$533.86
Step-by-step explanation:
The sum of the sales amounts is $3,559.07. Dan's commission is ...
0.15 × $3,559.07 = $533.86
The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
Read more about scatter plot at
brainly.com/question/16920148
#SPJ1
Help me out with this question (geometry)
Answer:
Number C is the answer
Step-by-step explanation:
The real relation between them is <EBF = 1/2 <ABC
Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
6x + 4y = 7Kx + 8y = 7What is the value of K?
The value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
What are equations?Two things are equal, according to an equation.
It will be written with the equals sign "=" as in x+2=6.
What is on the left (x + 2) is equal to what is on the right ((6)), according to that equation.
A remark like "this equals that" can be compared to an equation.
So, we have the equations:
6x + 4y = 7
Kx + 8y = 7
Now, we know that both equations are equal to 7. so, we can write it as:
6x + 4y = Kx + 8y
Solve with subject K as follows:
6x + 4y = Kx + 8y
Kx - 6x = 4y - 8y
(K-6)x = -4y
k-6 = -4y/x
k = (-4y/x) + 6
Therefore, the value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
If y = -6 when x = 16, find y when x = 8.
Answer:
y=-3
Step-by-step explanation:
16/2=8
-6/2=-3
Answer:
-3
Step-by-step explanation:
I think this -6/16 = -3/8 divided both sides by 2
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
For more questions on intersection
https://brainly.com/question/30429663
#SPJ8