Restrictions are that 'a' and 'b' cannot be zero. We could write [tex]a \ne 0[/tex] and [tex]b \ne 0[/tex] as shorthand.
The restrictions are put in place to ensure that you can't divide by zero.
=========================================
Explanation:
The coefficients -12 and 4 divide to -12/4 = -3 which is the coefficient for the answer in the numerator.
The 'a' terms divide to (a^3)/(a^2) = a^(3-2) = a^1 = a. We subtract the exponents to simplify.
The b terms are handled in a similar manner to get (b^5)/(b^7) = b^(5-7) = b^(-2) = 1/(b^2)
Putting all three results together has us end up with (-3a)/(b^2) where neither 'a' nor b are zero to prevent a division by zero error. We cannot have 0 in the denominator.
1. 5 x 6 – 12 ÷ 3 order of operations
Answer:
26
Step-by-step explanation:
First, using PEMDAS, do Multiplication, and division. (30 - 4)
Next, suptract to get your answer.
Answer:
26
Step-by-step explanation:
No P(emdas)
No e(Pemdas)
Multiplication (5 x 6)
5x6=30
Division (12/3)
12/3=4
No addition
Subtraction (30)-(4)
30-4=26
Solve the proportion. I will give brainliest.
2/7=r/4
Answer:
Cross multiply:
2 * 4 = 7 * r
Simplifying
2 * 4 = 7 * r
Multiply 2 * 4
8 = 7 * r
Solving
8 = 7r
Hope this helps.
10.36 less than the product of 42 and x
please i need help
Answer:
so the problem is saying 42x-10.36 so it's just saying take 10.36 away from 42 multiplied by X
Step-by-step explanation:
11(n-1)+35=3n what is the answer
Answer:
n = -3
Step-by-step explanation:
Original Equation:
11 (n-1) + 35 = 3n
Distributive Property:
11n + 24 = 3n
Subtract 24 from both sides:
11n + 24 - 24 = 3n - 24
Simplify:
11n = 3n - 24
Subtract 3n from both sides:
11n - 3n = 3n - 24 - 3n
Simplify:
8n = -24
Divide both sides by 8:
[tex] \frac{8n}{8} = \frac{ - 24}{8} [/tex]
Simplify:
n = -3
Answer:
n=-3
Step-by-step explanation:
More help please I really appreciate the people that has been helping also !
Answer:
8- b=79
9- b=23
10- b=67
8.)
[tex]37 = n - 42[/tex]
Add 42 to both sides of the equal sign to isolate the variable (n).
[tex]79 = n[/tex]
9.)
[tex]b + 62 = 85[/tex]
Subtract 62 from both sides of the equal sign to isolate the variable (b).
[tex]b = 23[/tex]
10.)
[tex]92 = 25 + l[/tex]
Subtract 25 from both sides of the equal sign to isolate the variable (l).
[tex]67 = l[/tex]
What is the result if you divide 18r⁴s⁵t⁶/ ⁻3r²st³
What is the solution to 7x + 6y if y = 10 and x = 2?
Answer: First we will substitute the numbers in place of the variables in the equation, and then we will use order of operations to solve.
7x + 6y would be equal to:
7(2) + 6(10)
Now we will perform the multiplication:
7 * 2 = 14
6 * 10 = 60
The equation now looks like:
14 + 60
This is equal to 74. Your answer is therefore 74.
Hi there! Hopefully this helps!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer: 74First we need to evaluate the variables into the expression.
7x + 6y = 7(2) + 6(10).
6 x 10 = 60
7 x 2 = 14.
60 + 14 = 74
solve for x 9 ( x + 1 ) = 25 + x
Answer: x=2
Step-by-step explanation:
Given
9(x+1)=25+x
Distributive property
9x+9=25+x
Subtract x on both sides
9x+9-x=25+x-x
8x+9=25
Subtract 9 on both sides
8x+9-9=25-9
8x=16
Divide 8 on both sides
8/8 x=16/8
x=2
Hope this helps!! :)
Please let me know if you have any question
Answer:
x = 2
Step-by-step explanation:
big brain/took test
20) Round each number to the nearest hundreds place.
a) 345.983
b) 1283.75
c) 9980.32
d) 1111.111
e) 689.4
Answer:
Step-by-step explanation:
X X X X . X X X
^ this is the hundreds place
X X X X . X X X
^ this is the hundredths place
a) 300 Because the place behind it is less than 5.
b) 1300 The place in the tens is 5 or greater.
c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.
d) 1,100
e) 700
Determine if the survey question is biased. If the question is biased, suggest a better wording. Why is eating carrots good for you?
is -55.505 a rational number?
Answer:
yes
Step-by-step explanation:
Any number that can be written in p/q from is a rational number
3. Is this relation a function? (-1,5) (-3, 6) (-2, 9) (5, 11) (-3, 6) (4, 11) (0, 10)
Answer:
Yes, it is.
Step-by-step explanation:
A function is a relation between two sets of elements, where each valid input can be mapped to exactly one output.
Indeed, the relation in this question is between two sets of elements. Each of these pairs includes exactly two elements: the input and the output.
On the other hand, does this relation maps each valid input to exactly one output? Arrange these pairs by the input in increasing order:
Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-2[/tex]; Output: [tex]9[/tex].Input: [tex]-1[/tex]; Output: [tex]5[/tex].Input: [tex]0[/tex]; Output: [tex]10[/tex].Input: [tex]4[/tex]; Output: [tex]11[/tex].Input: [tex]5[/tex]; Output: [tex]11[/tex].Indeed, the input [tex]-3[/tex] appeared twice in the list. However, in both occurrence, this input mapped to the same output, [tex]6[/tex]. This relation is still a function.
A car rental agency charges a fee of $35 per day plus $.20 for each mile driven. How much will it cost to rent the car for 4 days and drive 730 miles? Your answer should include a $ and two decimal places, in the format $10.00
Answer:
$271.00. Remember to put it in the right format
Step-by-step explanation:
So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.
Now to find the amount of money for the miles, we can do 730*0.20=146
Now we add those two amounts so we do 125+146=271.
So $271.00
89, 74, 100, 86, 74, 67, 86, 72, 60, 93, 83, 86 what is the median?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{84.5}}}}}[/tex]
Step-by-step explanation:
Given data :
89 , 74 , 100 , 86 , 74 , 67 , 86 , 72 , 60 , 93 , 83 , 86
Arranging the data in ascending order, we have,
60 , 67 , 72 , 74 , 74 ,83 , 86 , 86 , 86 , 89 , 93 , 100
Here, n ( total no.of observation ) = 12
Now, finding the position of media :
[tex] \boxed{ \sf{position \: of \: median = ( \frac{n + 1}{2} ) ^{th} \: item}}[/tex]
⇒[tex] \sf{ (\frac{12 + 1}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{( \frac{13}{2} ) ^{th} item}[/tex]
⇒[tex] \sf{ {6.5}^{th} item}[/tex]
6.5 th item is the average of 6 th and 7 th items.
Again,
[tex] \sf{median = \frac{ {6}^{th \: item} + {7}^{th} item}{2} }[/tex]
⇒[tex] \sf{ \frac{83 + 86}{2} }[/tex]
⇒[tex] \sf{ \frac{169}{2} }[/tex]
⇒[tex] \sf{84.5}[/tex]
Hope I helped!
Best regards!!
area & perimeter help!
Answer:
40ft
Step-by-step explanation:
√100=10
10*4=40ft
Answer:
The correct answer is 40 feet.
Step-by-step explanation:
We know that the area of the square is 100 square feet. We also know that we can find the area of the square using the formula A = s^2, where s represents the side length of the square.
A = s^2
If we plug in the value for the area that we are given, we get:
100 = s^2
To find the side length, we take the square root of both sides.
10 = s
To find the perimeter of a square, we should add up four times the side length (since there are 4 equal sides to a square).
Thus, the perimeter of a square is given by:
P = 4s = 4(10) = 40 feet
Therefore, the correct answer is 40 feet.
Hope this helps!
A grocery clerk changes the display of oranges regularly. If the pattern indicated
below is continued, determine the number of oranges that will be displayed on
the 8th figure. Use a table to find the pattern.
Answer:
36
Step-by-step explanation:
F1 = 1
F2 = 1 + 2
F3 = 1 + 2 + 3
--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:
F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2
So, 8th figure has:
F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36
To undo multiplication, you
A.divide
B.mulitpy
C. add
D. subtract
Answer:
A
Step-by-step explanation:
It’s the opposite
Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.
Step-by-step explanation:
So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.
Hence, your answer.
Which graph shows the linear inequality y < 2x – 4?
Answer:
Graph the line
y = 2 x − 4
After you have plotted the line, shade in the area to right of the line.
To help you to graph the line, two points are
( 0 , − 4 ) and ( 2, 0 )
Remember to make it a dashed line to indicate that it is not included.
Here is a how it should look:
What is the mean medium and mode of $0.99,$0.99,$1.49,$1.49,$1.49,$1.99,$1.99,and$2.49
Mean: $1.615
Median: $1.49
Mode: $1.49
Using the diagram at right, name the angle pair relationships of the
angle pairs listed below
1. D and e
2. E and h
3. A and e
D c and d
Answer/Step-by-step explanation:
Relationship of angle pairs considering the given diagram are as follows:
1. <d and <e are alternate interior angles. They are opposite inner sides of the transversal.
2. <e and <h are vertically opposite angles. They share the same vertex (corner) formed by the two line that crossed.
3. <a and <e are corresponding angles. They occupy the same position as a line crosses the other two lines together.
4. <c and <d are a linear pair. They are angles on a straight line and are supplementary.
The relationships between the angle pairs are:
1. Angle d and angle e are alternate interior angles.
2. Angle e and angle h are vertically opposite angles.
3. Angle a and angle e are corresponding angles.
4. Angle c and angle d form a linear pair.
The relationships between the angle pairs in the given diagram can be described as follows:
1. Angle d and angle e are alternate interior angles.
They are located on opposite sides of the transversal and inside the pair of lines.
2. Angle e and angle h are vertically opposite angles.
They are formed at the same vertex (corner) where the two intersecting lines meet.
3. Angle a and angle e are corresponding angles.
They are positioned in the same relative location as a line intersects the other two lines simultaneously.
4. Angle c and angle d form a linear pair.
They are adjacent angles on a straight line and add up to 180 degrees, making them supplementary.
Learn more about Parallel line here:
https://brainly.com/question/29762825
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Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.
X^2 = 5
Answer:
The answer is
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Step-by-step explanation:
x² - 5 = 0
Using the quadratic formula
That's
[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]Solve the equation
From the question
a = 1 , b = 0 , c = 5
So we have
[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]We have the final answer as
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Hope this helps you
Jada wanted to construct a line perpendicular to line e
through point C. The diagram shows her construction.
What was her mistake?
Answer:
Here the mistake is that she drew a circle from the point A to intersect the line rather the drawing arcs from the point C
The next another circle was drawn from the point of the intersection of the first circle and the intersection of both circles was used to draw the perpendicular at the midpoint of the intersection of both circles.
Step-by-step explanation:
To construct a line perpendicular to another line through a point the following steps are required
1) From the point, with the compass, C draw to intersect the line at points A and B
2) From A and B with the compass made wider, draw arcs above and below the line to intersect each other
3) With the straight edge Draw a line passing through the intersections of the arcs drawn from A and B and extend the line to pass through the point C
The line constructed above is the perpendicular to the line l passing through the point C.
Multiply (3x)(x2 + 4x - 15).
(3 x3 + 12 x2 - 45 )
3 x + 12 x - 45 x3)
(4 x3 + 3 x + 12 x2 - 15 )
(3 x4 + 12 x3 - 45 )
Answer:
3x^3 + 12x^2 - 45x
Step-by-step explanation:
Multiply 3x with x^2 then 4x and then -15 in order
3x × x^2 = 3x^3
3x × 4x = 12x^2
3x × (-15) = -45x now add the expressions
3x^3 + 12x^2 - 45x
Given the graph of the function f below, estimate the intervals in which fis
increasing.
Answer:
(-∞, -5/2) ∪ (1, ∞)
Step-by-step explanation:
"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.
It is increasing again from the local minimum on the right to the right side of the graph.
The two sections where the graph is increasing are ...
(-∞, -5/2) ∪ (1, ∞)
__
The graph is decreasing between the maximum on the left and the minimum on the right.
What is the value of x: -7x = -2x + 15
Answer:
-3
Step-by-step explanation:
-7x=-2x+15
collect like terms
-7x+2x=15
-5x=15
divide both sides by -5
x=15/-5
x=-3
classify the following numbers as rational or irrational. √23
Answer:
Irrational
Step-by-step explanation:
Unless a radical solves out to be a whole number, rads are irrational.
Answer:
√23 is an Irrational Number
Step-by-step explanation:
√23 = 4.79 is not a pefect square so its an irrational number
Christina goes to the market with $25. She buys one papaya for $4 and has the rest of the money for bananas. Each banana costs $0.55. Write an inequality for the number of bananas she can purchase.
Answer:
0.55x+4<=25
Step-by-step explanation:
It would be 0.55x because x is the number of bananas and 0.55 is the cost and the 4 represents the $4 she spent for a papaya. The 25 is the amount of money she has so it says less than or equal to because she only has so much money.
|3x+1|=-5
How do I do this step by step
(5x²-2)*(5x²+2)
Thank you
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^{4} - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(5 {x}^{2} - 2)(5 {x}^{2} + 2)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
[tex] \dashrightarrow{ \sf{5 {x}^{2} (5 {x}^{2} + 2) - 2(5 {x}^{2} + 2)}}[/tex]
[tex] \dashrightarrow{ \sf{25 {x}^{4} + 10 {x}^{2} - 10 {x}^{2} - 4}}[/tex]
Since two opposites add up to zero , remove them from the expression
[tex] \dashrightarrow{ \sf{25 {x}^{4} - 4}}[/tex]
Hope I helped!
Best regards! :D
The parabola y=x^2 is shifted down 2 units and is reflected. What is the new parabola?
Answer:
y = x² - 2
Step-by-step explanation:
Quadratic Parent Function: y = a(bx + h)² + k
k = vertical movement up/down
Since we are only dealing with a vertical shift down, we are only modifying variable k
k = -2
y = x²
y = x² - 2