Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
I need help please!!!!
thank you for your help :) really appreciate! Here’s the new one
Answer:
8 units
Step-by-step explanation:
The two squares have equal areas.
For each square:
area = 32 units^2
For a square:
area = side^2
side^2 = 32
side = sqrt(32)
For the two squares, the length of the side is sqrt(32).
The sides of the squares are the legs of the right triangle.
a^2 + b^2 = c^2
(sqrt(32))^2 + (sqrt(32))^2 = x^2
32 + 32 = x^2
x^2 = 64
x = 8
Answer: 8 units
Answer
8 units
Explanation
The side of one of the squares is the same length as one of the legs on the triangle.
To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.
So the length of one side is the square root of 32.
Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.
The length of one side of the square is the leg of a right triangle.
To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.
[tex]l^{2} + l^{2} = h^{2}[/tex]
The square root of 32 squared is 32.
[tex]32+32=h^{2}[/tex]
[tex]64=h^{2}[/tex]
To find h, you need to find the square root. The square root of 64 is 8.
Therefore, the length of x is 8 units.
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Learn more about triangles here:
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find the value for x!
Answer:
x=20
Step-by-step explanation:
3x+15=4x-5
20=x
which number line shows the solutions to n > 0
The third line shows the solutions to n > 0.
The correct option is third line.
What is a number line?A horizontal line with uniformly spaced numerical increments is referred to as a number line.
The way the number on the line can be replied will depend on the numbers on the line.
The number's intended use is described in the question that goes with it, such as when graphing a point.
Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.
We have a number-line.
To find the number line that shows the solution, n > 0:
n is greater than 0.
At 0, there is an open dot circle.
And the line should be extended toward positive infinity.
Therefore, third line is required number line.
To learn more about the number lines;
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test corrections....
PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch
graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5
graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2
graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4
graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3
I don't know if it's right tho :C
Answer:
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8
Answer:
D: 5:2
Step-by-step explanation:
40:16 simplified is 5:2
The simplest form of the ratio 40:16 is 5:2.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).
First, let's find the GCF of 40 and 16.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 8.
Therefore, the GCF of 40 and 16 is 8.
To simplify the ratio, we divide both terms by 8:
40 ÷ 8 = 5
16 ÷ 8 = 2
Thus,
The simplest form of the ratio 40:16 is 5:2.
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Help????? Pls?????????
Answer:
20 men in the dance recital.
Step-by-step explanation:
tt
triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?
Answer:
idek
Step-by-step explanation:
Helppppppppp!!
A bird goes from a lower location to a higher location at a
rate of 2 meters per second. Which equation models the change in the bird's position at 90 seconds?
A. 90.2 = 180
B. 90(-2) = -180
C. (-90)(-2) = -180
D. 90(-2) = 180
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It is proven mathematically
HELP!! (Picture included)
Answer:
Wednesday
Step-by-step explanation:
Monday- ~5.6 as a decimal
Tuesday- 5.625 as a decimal
Wednesday- 5.375 as a decimal
Thursday- 5.8 as a decimal
therefore, Mrs.Mayes worked the least on Wednesday. Also she needs some break
Answer:
Wednesday
Step-by-step explanation:
For each of the fractions you can put them into decimals. Wednesday had the lowest decimal at 5.37
Find the percent change from 75 to 24.
212.5%
The percentage increase from 24 to 75 is 212.5%.
Help appreciated, thanks so much!
Answer:
r= -6
Step-by-step explanation:
Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6
Answer:
the answer is B
Answer:
its b
Step-by-step explanation:
Please I beg you help me I will mark you brainliest
Answer:
Best answer would be D
Step-by-step explanation:
For A, the statement is only true with x as 1
For B, other values for x can make the equation wrong
And for C, it's just wrong.
14 POINTS PLEASE HELP !!
The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )
Answer: C
Step-by-step explanation:
i just know
b
-
27 =43
I would really appreciate your help
Answer:
B = 70
Step-by-step explanation:
Answer:70
Step-by-step explanation:
What is the percent of change of 25 when decreased to 18?
Answer:
your answer is that it decreases to 7%
Answer:
28% decrease
Step-by-step explanation:
(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
400
Step-by-step explanation:
50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)
Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?
The values for x are:
question 15 ⇒x=8
question 16⇒x=19
question 17⇒x=14
Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.
Sum of Interior Angles of Regular PolygonThere is a formula that relates number of sides polygon with its sum of interior angles. See below.
S=(n-2)*180°
S=sum of interior angles of regular polygon.
n=number of sides of regular polygon.
Exercise 15First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,
S=(n-2)*180°
S=(4-2)*180°
S=2*180°=360°
Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.
Next step, sum of interior angles for finding x
[tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]
x=8
Exercise 16
First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,
S=(n-2)*180°
S=(6-2)*180°
S=4*180°=720°
Next step, sum of interior angles for finding x.
[tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]
x=19
Exercise 17
First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,
S=(n-2)*180°
S=(5-2)*180°
S=3*180°=540°
The image of the question shows the sides are congruent, consequently, the angles are equal.
Next step, sum of interior angles for finding x.
[tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]
x=14
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−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(
Whats the reciprocal for -4
Answer:
It is n-1. Does this help any or not?
Answer:
1/4
Step-by-step explanation:
so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.
Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?
Answer:
10 divided by two fifths = 25
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.
Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05
Answer: $170.25 + $3.78x = $586.05
Step-by-step explanation:
3v - 10 = -14 what is the answer
Answer:
v= -3/4
Step-by-step explanation:
i think that's the answer djxndnxnnx
Answer:
3v=-14 +10
3v=-4
v= - 4/3
Please mark as brainliest
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes
Step-by-step explanation:
I would say yes, x is multiplied by itself to get an answer for y.
help lol! the explanation is on the bottom!!
Answer:
1 =80
2 =100
3 =80
4 =100
6 = 100
7 =80
8 =100
Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7
2,4,6,and 8 are 180-80 which equals 100
Answer:
1, 3, 5, 7 = 80°
2, 4, 6, 8 = 100°
Step-by-step explanation:
1, 3, 5, and 7 are congruent to each other
2, 4, 6 and 8 are congruent to each other
1 + 2 + 3 + 4 = 360°
80° + x + 80° + x = 360°
160° + 2x = 360°
2x = 360° - 160°
2x/2 = 200°
x = 100°