Answers
Answer:
D 13
Step-by-step explanation:
(b^4)^4 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^c^d = a^ (c*d)
b^(4*4) b^5 * b^x
-------------- = ----------------
b^2 b^4
b^16 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^ c * a^d = a^ (c+d)
b^16 b^(5+x)
-------------- = ----------------
b^2 b^4
We know that a^c / a^d = a^ (c-d)
b^(16-2) = b^(5+x-4)
b^14 = b^(1+x)
Since the base is the same, the exponent must be the same
14=1+x
Subtract 1 from each side
14-1 = 1+x-1
13 =x
Related Questions
Simply the expression given below. x^2+x-2/x^3-x^2+2x-2
Answers
Answer:
Step-by-step explanation:
(x-1)(x+2)/x^2(x-1)+2(x-1)
(x-1)(x+2)/(x-1)(x^2+2)
(x+2)/(x^2+2)
Answer:
[tex]\frac{(x+2)}{(x^2+2)}[/tex]
Step-by-step explanation:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}[/tex]
To simplify the given expression , factor both numerator and denominator
Numerator : [tex]x^2+x-2[/tex]
Product is -2 and sum is +1. factors are 2 and -1
[tex]x^2+x-2=(x+2)(x-1)[/tex]
Denominator : [tex]x^3-x^2+2x-2[/tex]
Group first two terms and last two terms
Factor out GCF from each term
[tex](x^3-x^2)+(2x-2)[/tex]
[tex]x^2(x-1)+2(x-1)[/tex]
[tex](x^2+2)(x-1)[/tex]
Replace the factors in the given expression
[tex]\frac{(x+2)(x-1)}{(x^2+2)(x-1)}[/tex]
Cancel out x-1 at the top and bottom
[tex]\frac{(x+2)}{(x^2+2)}[/tex]
Solve x^2+5x=-6 please solve this using quadratics
Answers
x2 + 5x + 6 = 0
(x + 2)(x + 3) = 0
x = -2 or -3
Answer:
x = - 3, x = - 2
Step-by-step explanation:
Given
x² + 5x = - 6 ( add 6 to both sides )
x² + 5x + 6 = 0 ← in standard form
(x + 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
The vertex of this parabola is at (-1,-3). Which of the following could be it’s equation?
Answers
Answer:D
Step-by-step explanation: The vertex is (-1, -3), and since it's in terms of y, the y-coordinate is in the parentheses. D is the only choice with -3 as the y-coordinate.
The equation of the parabola with vertex (-1, -3) is y = a(x + 1)^2 - 3.
Explanation:The equation of a parabola in vertex form is y = a(x - h)^2 + k, where the vertex is (h, k). In this case, the vertex is (-1, -3), so the equation could be y = a(x + 1)^2 - 3. The coefficient a determines the shape of the parabola.The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
Learn more about Parabola equation here:https://brainly.com/question/11911877
#SPJ3
Aisha has 45 books to place on a bookcase. She is told to place the same number of books on each of the 5 shelves. How many books should she place on each shelf ?
Answers
Answer: The correct answer is 9.
Step-by-step explanation: In order to solve this problem you need to divide the 45 books by the 5 book shelves. 45 / 5 = 9. Divided equally, there will be 9 books on each shelf.
[tex]45 \div 5 = 9[/tex]
Aisha can place 9 books on each shelf.
A rectangle has a perimeter of p centimeters. Its width is b centimeters. Its length is double its width. Express p in terms of b.
Answers
Answer:
[tex]p=6b[/tex]
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(x+y)[/tex]
[tex]P=p\ cm[/tex]
so
[tex]p=2(x+y)[/tex] -----> equation A
[tex]y=b\ cm[/tex] ----> given problem
[tex]x=2y[/tex] -------> [tex]x=2b\ cm[/tex]
substitute the value of x and the value of y in the equation A
[tex]p=2(2b+b)[/tex]
[tex]p=2(3b)[/tex]
[tex]p=6b[/tex]
m–[(m–n)÷(−2)](−5), if m=−4, n=−6
Answers
[tex] - 4 - (( - 4 + 6) \div ( - 2))( - 5) = \\ = - 4 - (2 \div ( - 2))( - 5) = \\ = - 4 - ( - 1)( - 5) = - 4 - 5 = \\ = - 9[/tex]
The answer is M-5
Step-by-step explanation:See the image
Five people each write a positive integer on a piece of paper. If the average of these five integers is 8, what is the greatest possible value of one of these integers?
A. 36
B. 38
C. 39
D. 40
Answers
Answer:
Option D. [tex]40[/tex]
Step-by-step explanation:
Let
x------>the greatest possible value
we know that
If four people write the number zero, then the average will be
[tex]8=(0+0+0+0+x)/5\\ \\40=0+x\\ \\x=40[/tex]
Answer: 36
Step-by-step explanation:
HELP ASAP!! GIVING BRAINLIEST!
ABC goes through a sequence of transformations to form A’B’C’. The sequence of transformations involved is a:
A) rotation 180 degrees counterclockwise about the origin
B) translation 2 units to the right
C) translation 4 units to the left
D) reflection across the line y=x
followed by a:
A) reflection across the x-axis
B) reflection across the y-axis
C) rotation 90 degrees clockwise about the origin
D) translation 4 units to the right
Answers
Answer:
B) translation 2 units to the right
B) reflection across the y-axis
Step-by-step explanation:
If you move ABCD over to the right by 2, then reflect it over the y axis. Then you get the A'BCD.
ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are
B) translation 2 units to the right and followed by a
B) reflection across the y-axis
This can be explained by using the graph and the definition of transformation
Transformations:Transformations are changes done in the shapes on a coordinate plane There are four types of transformations. They are translation, rotation, reflection, and dilationThe translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a functionThe translation, rotation, and reflection are called rigid transformations wherein the image is congruent to its pre-image. These are isometric transformationsDilation stretches or shrinks the pre-image i.e., expands or contracts the shape. It is non-isometric.The sequence of transformations involved:From all the information given above, it came to know that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.ABC is translated by 2 units to the right, it is shown in the graphAnd followed by a reflection across the y-axisThere is no rotation happenedThus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
Learn more about transformations here:
https://brainly.com/question/12789149
#SPJ2
What is the answer to number 1
Answers
Rewrite the equation 2x + 3y = 6 in slope-intercept form. 3y = -2x + 6 y = -2x + 6 y = -2/3x + 2 y = 2x + 6
Answers
Answer:
y = -2/3x + 2
Step-by-step explanation:
2x + 3y = 6 to y = mx + b form.
1. Subtract 2x from both sides.
3y = -2x + 6
2. Divide each side by 3.
y = -2/3x + 2
Answer:
y = -2/3x + 2
At summer camp the kids preformed 6 times over the last two days if the camp theater holds 35 people wich is the maximum number of people who watched the play
Answers
Answer:
35x6=210
Step-by-step explanation:
The 5 in 35 and times that by 6 is 30. So the ones place is 0.
Set aside the 3 and do 3x6 which is 18. but add 3 is 21. So the answer is 210.
Answer:
The answer is 420 people.
Step-by-step explanation:
Over the course of two days, the play was performed 6 times. So multiply 6 times 2 to get 12. The play was performed a total of 12 times in two days. Now multiply 12 times the number of maximum people who watched on both days to get 420.
Find the missing measurement. Round your answer to the nearest tenth.
A: 9.1 mi
B: 7.3 mi
C: 5.2 mi
D: 10.2 mi
Answers
The answer is 7.3 mi I think
Please help!! I’ll mark brainliest
Answers
The triangle was only rotated. The size did not change, so the corresponding angles would remain identical.
Because C is 28 degrees C' would also be 28 degrees.
Which range is the best estimate for capacity in the fluid ounces of a water bottle
Answers
Answer:
K is the best estimate.
Step-by-step explanation:
This is just common sense, not much math.
J: No, that is smaller than an essential oils bottle, which is as tall as a finger.
K: Probably, the range is from the size of a medicine bottle to a small/medium water bottle.
L: No, that much is the size of a bottle of detergent.
M: No, that much water is 6 kg.
Which expression would provide the measure of angle N?
A) tan (7/6)
B) tan (6/7)
C) tan -1(7/6)
D) tan -1(6/7)
Answers
Answer:
[tex]N = { \tan }^{ - 1} \frac{6}{7} [/tex]
The correct answer is D.
is 0.64 rational ....
Answers
yes, 0.64 is a rational number. it can be expressed as the fractions 64/100, 32/50, 16/25.
Answer:
yes 0.64 is a rational number
Step-by-step explanation:
1) 0.64 = 64/100
2) Divide by 4
64 divided by 4 is 16 (Numerator)
100 divided by 4 is 25 (Denominator)
3) 16/25
It is a rational number because it can be written as a fraction.
Hopes this helps!
The rectangular octogon shown is enlarged.........................help please
Answers
Answer:
it is b
Step-by-step explanation:
B.) The area is 3 times greater I think
A $1508 award is shared equally by 8 people. What is each persons share of the award
Answers
Answer:
$188.50
Step-by-step explanation:
i got this answer by dividing $1,508 by 8 and you would get 188.5 which would turn into $188.50 and that is how much each person would get.
I hope this helps.
Divide $1508 by 8
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Solve the given system of equations.
4x-5y=10
-x-8=3y
Answers
To solve the system of equations, start by isolating one variable in one equation. Substitute the value of the variable into the other equation, and solve for the remaining variable. The solution to the system of equations is x = 118/17 and y = -42/17.
Explanation:To solve the given system of equations:
4x - 5y = 10
-x - 8 = 3y
Start by isolating one variable in one equation. Let's isolate x in the second equation.Add x to both sides: -x + x - 8 = 3y + x.Simplify: -8 = 3y + x.Rewrite the equation as x = -8 - 3y.Now substitute the value of x in the first equation.Replace x with -8 - 3y: 4(-8 - 3y) - 5y = 10.Distribute: -32 - 12y - 5y = 10.Combine like terms: -32 - 17y = 10.Add 32 to both sides: -17y = 42.Divide by -17: y = -42/17.Substitute the value of y back into x = -8 - 3y to find x.Replace y with -42/17: x = -8 - 3(-42/17).Simplify: x = -8 + 126/17.Find a common denominator for -8 and 126/17, which is 17.Convert -8 into a fraction over 17: -8/17.Add the fractions: x = (-8/17) + (126/17).Simplify: x = (118/17).Therefore, the solution to the system of equations is x = 118/17 and y = -42/17.
Final answer:
The solution to the system is x = -10/7 and y = -22/7.
Explanation:
To solve the given system of equations, 4x-5y=10 and -x-8=3y, we can use the method of substitution or elimination. Let's use the substitution method:
Step 1: Solve one equation for one variable in terms of the other. From the second equation, we can rearrange it to get x in terms of y: x = 3y + 8.
Step 2: Substitute the expression for x in terms of y into the other equation.
Substituting 3y + 8 for x in the first equation gives us 4(3y + 8) - 5y = 10.
Step 3: Simplify and solve for y.
Expanding the equation and solving for y gives us 12y + 32 - 5y = 10.
Combining like terms yields 7y + 32 = 10.
Subtracting 32 from both sides gives us 7y = -22.
Dividing both sides by 7 gives us y = -22/7.
Step 4: Substitute the found value of y back into the equation x = 3y + 8 to solve for x.
Substituting -22/7 for y gives us x = 3(-22/7) + 8.
Simplifying the expression gives us x = -66/7 + 56/7, which equals -10/7.
Therefore, the solution to the system of equations is x = -10/7 and y = -22/7.
What is the domain of the function y=2 sqrt x-6 ?
Answers
Answer
Domain of the function:
In interval notation: [6, ∞)
In set notation: {x: x∈R, x≥6}
Explanation
Remember that the the domain of the square root function are all the values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)
This is because the square root is not defined, in the real numbers, for negative values.
So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:
The domain of the function is all the numbers bigger than 6, including 6.
Answer:
[6, infinity (use the symbol)
Step-by-step explanation:
i got this answer by graphing
The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
Answers
Answer:
height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)
Step-by-step explanation:
We know that the volume of a rectangular prism is the product of its base area and height
Volume_prism = area_base * height
height = Volume_prism / area_base
Volume_prism = (x^3 – 3x^2 + 5x – 3)
area_base = (x^2 – 2)
height = Volume_prism / area_base
height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)
Please see attached image
Answer:
The answer is A
Step-by-step explanation:
The way that you get this answer is by divided x2 to x3 and you get x and then you multiply x to x2-2 and you get x3-2x and the you subtract that from x3-3x2+5x-3 and then you repeat that process and the final answer is x-3 + 7x-9/x2-2
Which function is shown on the graph?
Answers
ANSWER
The correct choice is C.
EXPLANATION
The given graph has vertical asymptote at x=1.
Therefore , the denominator of the function represented by the graph should be 1-x
The graph also has a horizontal asymptote at y=-6. The numerator should be of the form
b+6x,
where b is a constant.
So that the horizontal asymptote will be
[tex]y = \frac{6}{ - 1} = - 6[/tex]
Our rational function now becomes
[tex]y = \frac{b + 6x}{1 - x} [/tex]
The function also has a y-intercept of 3,
[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]
Therefore the required function is
[tex]y = \frac{3 + 6x}{1 - x} [/tex]
How many unique ways are there to arrange the letters in the word SONG
Answers
Words you can make with the word SONG:
Snog
Nogs
How to do this question?
Answers
Answer:
D
Step-by-step explanation:
The answer is D, since there is no correlation in the data (meaning that it is scattered all over the plot with no pattern or anything).
Ray's Car Wash received $25 for washing 5 cars. How much money does Ray's Car Wash earn per car?
Answers
Answer:
$5
Step-by-step explanation:
25/5=5
$5
Wouldn’t it be 5$ a person to pay for a car wash? Because if you think of it this way they made 25$ and it cost 5$ so you would take 25 divided by five . Please correct me if I’m wrong
what does this number represent
Answers
answer is: a number to the third power divided by ten. pls mark brainliest!!
find the area of each figure. round to the nearest tenth if necessary .
Answers
We first would divide the Pentagon into two shapes, one a square and the other a triangle. To find the height of the triangle we must minus the 15cm to the 10cm, which gives us 5cm.
5cm= height of triangle
7cm= base of triangle
Then, apply the area of triangle formula
which is: A=(b×h)÷2
so the area would be 17.5cm squared.
For the square, 10= height and the 7=base
The formula for rectangles is:
A=b×h
so, the area is 70cm squared.
if you want the total area add the two area together, which equals 87.5cm squared.
I hope this helps.
To find the area of each figure, we can use different formulas depending on the shape. If the figure is a square or rectangle, we can use the formula A = length x width. If the figure is a circle, we can use the formula A = πr², where r is the radius.
Explanation:To find the area of each figure, we can use different formulas depending on the shape. If the figure is a square or rectangle, we can use the formula A = length × width. If the figure is a circle, we can use the formula A = πr², where r is the radius. For triangles, we can use the formula A = ½base × height. For irregular shapes, we can approximate the area by breaking it down into simpler shapes and summing up their areas.
Let's say we have a square with side length 5 cm. Using the formula A = length × width, the area would be A = 5 cm × 5 cm = 25 cm². If we have a circle with a radius of 2 cm, using the formula A = πr², the area would be A = 3.14 × 2 cm × 2 cm = 12.56 cm² (rounded to the nearest tenth).
Help pleaseee! Relationships within triangles posttest
Answers
It’s 88 cause if you see in the other side is 44+44 and what does That Equal =88
If g=26.4 and f=35 degrees, find h. round to the nearest tenth
Answers
Answer:
Option b. [tex]h=21.6\ units[/tex]
Step-by-step explanation:
we know that
In the right triangle FGH
The function cosine of angle F is equal to divide the adjacent side angle F by the hypotenuse
[tex]cos(F)=\frac{FG}{FH}[/tex]
substitute the values and solve for h
[tex]cos(35\°)=\frac{h}{26.4}[/tex]
[tex]h=(26.4)cos(35\°)=21.6\ units[/tex]
dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
y------> the total cost
x------> the number of shirts
we know that
The linear equation is
[tex]y=1.50x+4.50[/tex] ------> equation of the line
To graph the line find the intercepts
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
Find the y-intercept
For x=0
[tex]y=1.50(0)+4.50=4.50[/tex]
The y-intercept is the point (0,4.50)
Find the x-intercept
For y=0
[tex]0=1.50x+4.50[/tex]
[tex]1.50x=-4.50[/tex]
[tex]x=-4.50/1.50=-3[/tex]
The x-intercept is the point (-3,0)
Plot the intercepts to graph the line
see the attached figure