What is the least common denominator of
Answer:
first answer is correct
Step-by-step explanation:
hello
as we can write
[tex]x^2-1=(x-1)(x+1)\\[/tex]
the least common denominator is
x(x-1)(x+1)
hope this helps
Answer:
x + 1
x - 1
x
Step-by-step explanation:
The denominators are as follows.
(x - 1)
x^2 - 1
x
=====
The second denominator is actually made of two factors.
x^2 - 1 =(x + 1)(x - 1)
So the least common denominator is
x + 1
x - 1
x
You do not count the x - 1 twice.
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
Anna enjoys dinner at a restaurant in Washington D.C, where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax calculated is on the pre-tip. She spends a total $27.50 for dinner. What is the cost of her dinner without tax or tip?
Answer: $20.62
Step-by-step explanation:
Ok so she spent 27.50 and the tax was 10% and the tip was 15%
10% of 27.50=0.1*27.50=2.75
15% of 27.50=0.15*27.50=4.125=4.13 (rounded to the nearest cent)
So the question is asking about without the tax (2.75) or the tip (4.13) so you have to subtract the tax and tip from the total cost (27.50)
27.50-2.75-4.13=20.62
The cost of her dinner without tax or tip is 20.62
Answer:$20.62 would be the price
Step-by-step explanation:
Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram
Answer:
The answer is Parallelogram!
Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.
Answer:
square
Step-by-step explanation:
A rectangle is a quadrilateral with 4 right angles.
A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5.
Answer:
B - A = 2
Step-by-step explanation:
Recall that parallel lines have the same slope. Thus, line Ax + By = 3, parallel to x + 3y = -5, has the form x + 3y = C. This latter line passes through the point (-7, 2), and so -7 + 3(2) = C must be true. Then -7 + 6 = C, and C = -1.
In both equations A = 1 and B = 3. Thus, B - A = 3 - 1, or B - A = 2
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). (5 points) 5.5 5 0.5 3
Answer:
0.5
Step-by-step explanation:
To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.
Hey there! :)
Answer:
0.5.
Step-by-step explanation:
Use the midpoint formula to solve for the coordinates:
midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]
Plug in the points for C and D:
[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]
Simplify:
[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.
The x-value of the coordinate is 1/2, or 0.5.
Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
Read more about similar triangles at:
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someone please help After putting 5 gallons of gas into your car, the tank was full. If the tank holds 13 gallons, how much gas was in it before you filled it up?
Answer:
8 gallons were in the tank beforehand.
Step-by-step explanation:
Answer:
8 gallons of gas
Step-by-step explanation:
13-5=8
Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k
2
-2
1/2
-1/2
Answer:
Step-by-step explanation:
Using the graph we can notice something
let's take the abscissa -2 and -4
the ordinate that goes with -2 using g is 0the ordinate that goes with -4 using f is 0so we can say that :
f(-4)=g(-2)
wait we khow that g(x)=f(k*x)
so x= -2 then let's replace it in the expression : f(k*x)
we get f(-4)=g(-2)=f[k*(-2)]
let's solve the equation: -2k = -4
k = -4/-2
k=2
so finally we get k=2
let's check :
from the graph we get :
f(-2)=2 g(-1)=2we have (-1)*2 = -2
so it is true
PLEASE HELP 20 points!!! Which of these is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Answer:
b
Step-by-step explanation:
Answer:
isnt it D?
Step-by-step explanation:
the two numbers are constantly the same ratio so its that right?
In the spinner below, what is true about the probability of landing on 1 and the probability of landing on 6?
Answer:
1/6 for 1 and 1/6 for 6
Step-by-step explanation:
Answer: the possibility are equal
Step-by-step explanation:
A p e x
Simplify the fraction 35/21 in simplest form
Answer:
5/3
Step-by-step explanation:
35 and 21 could be divided by a factor of 7.
35 ÷ 7 = 5
21 ÷ 7 = 3
So,
35/21 = 5/3
Answer:
5/3
Step-by-step explanation:
35 divided by 7 is 5
21 divided by 7 is 3
Thus 35/21 in simplest form is 5/3
Which of the following is a closed statement? Question 16 options: A) z is a positive number. B) x is an odd number. C) 30 is an odd number. D) y is not an odd number.
Answer:
Step-by-step explanation:B) x es un número impar
Answer:
B
Step-by-step explanation:
Rewrite in simplest radical form x 5/6 x 1/6
Answer:
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]
Required
Rewrite in simplest radical form
Using laws of indices:
[tex]a^m/a^n = a^{m-n}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]
Solve Exponents
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]
Simplify exponent to lowest fraction
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]
Using laws of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
This is as far as the expression can be simplified
Which relation is a function of x?
Answer:
The last choice, the graph.
Step-by-step explanation:
The 4 relations are:
A.
A set of ordered pairs.
This is not a function because 2 ordered pairs have the same x-coordinate, 1.
B.
Table.
All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.
C.
x = 3y^2 - 7
This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.
D.
The graph.
This is a function because it passes the vertical line test.
Answer: The last choice, the graph.
Answer: D the graph ! ;)))))
I hope you all get good grades !
Step-by-step explanation:
Plz mark brain list!
Help ???
The table and scatter plot shows the time spent studying...
Answer:
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Step-by-step explanation:
Given, The equation of the line of best fit: [tex]y=3.8x+14.94[/tex] (which gives the predicted score.)
Time spent in studying of 12 hours i.e. at x=12, observed y= 70
Predicted y = [tex]3.8(12)+14.94=60.5[/tex]
Residual =Observed y - predicted y
= 70-60.5
= 9.5
Time spent in studying of 18 hours i.e. at x=18, observed y= 75
Predicted y = [tex]3.8(18)+14.94=83.34[/tex]
Residual = Observed y - predicted y
= 75-83.34
= -8.34
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Please help with this
Answer:
Step-by-step explanation:
Answer A is correct. Note that (6/5)(35) = 42 (side DG).
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276
Answer:
x = ± 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]
help me 24 - 42 ÷ 8 • 2 + 4
Step-by-step explanation:
bodmas :3
1. 42 ÷ 8 x 2 = 5.25 x 2
= 10.5
2. 24 - 10.5 + 4 = 17.5
Answer:
17.5
Step-by-step explanation:
24-(42/8)×2+4
=24-(5.25×2)+4
=24-10.5+4
=13.5+4
=17.5
The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company
Answer:
112
Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly
112.
Answer:112
Step-by-step explanation:
I ain’t making no explanation I’m just giving answers
Two large numbers of the fibonacci sequence are F(50) = 12,586,269,025 and F(51) = 20,365,011,074. If these two numbers are added together, what number results? A. F(52) B. F (101) C. F(53) D. F(49)
Answer:
B. F(52)
Step-by-step explanation:
In the Fibonacci sequence, each term is found by adding the previous two terms together. This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.
If we add f(50)+f(51), this would give us f(52).
Answer:
B
Step-by-step explanation:
B is the answer
Find the volume of a pyramid with a square base, where the side length of the base is
11.1 m and the height of the pyramid is 8.2 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Using addition rules, show how to add the two real numbers. 7 +(-14)
7 + (-14).
Because the second number is a negative number, the addition sign is replaced by the negative sign of the number, so the equation becomes:
7 - 14
The answer would be -7
Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
The distance time graph shows the velocity with which Brianna traveled.
From t= 0 to t = 6:
For every 2 minutes, distance increase by one miles. She covers 3 miles in 6 minutes.
So the velocity is given by:
velocity = change of distance/ change of time
velocity = 3/6
velocity = 0.5 miles/minutes
From t=6 to t=10
As there is no change in distance, the velocity of the object is 0, it means Brianna is stationary from t=6 to t=10
From t=10 to t=16
Distance covered = 7 miles - 3 miles = 4 miles
Time taken = 16 - 10 = 6 minutes
Velocity = 0.67 miles/minutes
Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Which description of the graph of the linear inequality y ≥ 7x – 4 is correct? The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line. The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line. The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Slope form of the line is given by equation,
y = mx + b
Where 'm' = Slope of the line
b = y-intercept
For a line having equation,
y = 7x - 4
Slope = 7
y-intercept = -4
If the line is an inequality, properties of the inequality will be defined by,
If the line is having a sign equal to (=), graph of the line will be a solid line.If the solid line has a sign of greater than (>), solution set (shaded region) of the inequality will be above the line.If the line has a sign of less than (<), solution set of the inequality will be below the line.By these properties,
inequality y ≥ 7x - 4 will show,
A solid line with slope 7 and y-intercept as (-4).Shaded area will be above the solid line.Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Learn more,
https://brainly.com/question/24166731
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it