x-1/x^2 - x - 20 Give the equivalent numerator if the denominator is (X - 5)(x + 4)(x + 3)
x^2 + 2x + 3
x^2 + 2x - 3
x^2-3
Answers
Answer:
\(x^2+2x-3\)
Step-by-step explanation:
Note that \(x^2-x-20=(x-5)(x+4)\), so, if the denominator is \((x-5)(x+4)(x+3)\), we need to multiply the numerator by \((x+3)\). And \((x-1)(x+3)=x^2+2x-3\).
Related Questions
Whats is the missing number of 2 yards =____ feet
Answers
Answer:
6
Step-by-step explanation:
Answer:
6 feet
Step-by-step explanation:
1 yard = 3 feet
2 yards = 3(2)
=6 feet
a sociologist is investigating the spread of a rumor. he finds that 20 people know of the rumor. one of these people must have started the rumor, and each must have heard the rumor for the first time from one of the others. he draws a graph with vertices representing the 20 people and edges showing whom each person first heard the rumor.treenot necessarily a tree
Answers
Answer
This graph will be a tree.
This is because the rumor must have started from one person
You are shown TUV below whose measure is 76°. Draw an angle bisector of
LTUV by clicking a dragging a ray out from the vertex at U.
Click and drag to draw a ray from the yellow dot.
To redraw, click and drag from the yellow dot again.
m/TUV = 76⁰
Answers
The bisector of the angle TUV is attached below.
What is an angle?
In Euclidean geometry, an angle is the shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The steps to draw a bisector of an angle:
1) Cross both rays with an arc. Place the compass point at the vertex of the angle after opening it to any width. Swing the compass so the pencil creates an arc that spans the angle's two rays.
2) Make a vertical arc inside. Place the compass such that the point is at the spot where the first ray and the first arc connect. Swing the compass to create an arc that fits inside the angle.
3) To intersect the first interior arc, draw a second interior arc. Move the point to the spot where the first arc crosses the second ray without altering the compass's breadth. Draw an internal arc by swinging the compass and intersecting it with the initial interior arc you drew.
4) From the vertex to the spot where the arcs meet, draw a line. To make sure the line is exact, use a straightedge. This line cuts the angle in half.
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Determine the measurement of EF.
EF = 3.47
EF = 3.16
EF = 1.39
EF = 1.1
Answers
Answer:
EF = 3.16
Step-by-step explanation:
Assume the triangles are similar.
BC/EF = BA/ED
7.9/EF = 11/4.4
11(EF) = 4.4 × 7.9
EF = 0.4 × 7.9
EF = 3.16
please answer!!
Graphs of Linear Functions
write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)
y= ?
Answers
Answer:
Y= -8
Step-by-step explanation:
i think so......
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Which of these expressions is not equivalent to the others?9 n + 119 n + 3 + 2(4 n + 5 n) + (3 + 8 – 6)(4 n + 3) + 5 n + 8 - 6
Answers
9n+11 because if you simplify all the others they equal 9n+5.
Mia has a collection of vintage action figures that is worth $190. If the collection appreciates at a rate of 6% per year, which equation represents the value of the collection after 5 years?
Answers
The equation that represents the value of the collection after 5 years is:
Value of collection after 5 years = 190 x (1 + 0.06)^5
Explanation:
To calculate the value of the collection after 5 years, we need to use the compound interest formula. This formula is represented as A = P x (1 + r)^n, where P is the principal amount (initial value of the collection), r is the rate of interest (in this case, 6%), and n is the number of years (in this case, 5).
Therefore, the equation for the value of the collection after 5 years is:
Value of collection after 5 years = 190 x (1 + 0.06)^5
This can also be written as:
Value of collection after 5 years = 190 x 1.31 (1.31 is the result of (1 + 0.06)^5)
Therefore, the value of the collection after 5 years is $246.90.
Answer: 254.26
Step-by-step explanation:
Try Understand
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2
Answers
pls help me answer this
Answers
Answer:
C
Step-by-step explanation:
Bc everything is positioned right
I hope this helps
Select two of the following that represent the solution set of the given equation.
x^4-5x^2=3x^2+48
Answers
Answer:
Step-by-step explanation:
NTB Tires bought 809 tires from its manufacturer for $32 per tire. A - What is the total cost of NTB's purchase? B - Assume the store can sell all the tires at $85 each. What will be the store's gross profit, or the difference between its sales and costs?
Answers
Answer:
A. $25,888
B. $42,877
Step-by-step explanation:
The total cost is the product of the cost of each item and the number of items. The total profit will be the product of the profit on each item and the number of items.
ApplicationA) CostThe cost of 809 tires at $32 each is ...
809 × $32 = $25,888 . . . . . total cost of the purchase
B) ProfitThe profit the store makes on each tire is ...
profit = selling price - cost = $85 -32 = $53
The gross profit on 809 tires at $53 each is ...
total profit = 809 × $53 = $42,877 . . . . . gross profit
At a university 6 out of every 13 student live on campus if there are 156 students enroll how many lives on campus
Answers
Answer:
72
Step-by-step explanation:
156 ÷ 13 × 6 = 72
Hope this helps!
Good luck!
Answer:
156÷13=12(the number of 13s'in 156)
there are 12
12*6=72
seventy two students live on campus
Find the coordinates of the point 7 10 of the way from A to B.
Answers
The coordinates of the point 7/10 of the way from A to B is (30/17,-8/17)
Here, what we simply want to do is to find the coordinates of the point that divide the line in the ratio 7 to 10 (7 ratio 10)
To do this, we are to use the internal division formula as follows
Thus, we have;
\((x,y)\text{ =( }\frac{nx_1+mx_2}{m\text{ + n}},\text{ }\frac{ny_1\text{ + m}y_2}{m+n})\)With respect to the question, we have;
\(\begin{gathered} m\text{ = 7} \\ n\text{ = 10} \\ \\ x_1\text{ =-4} \\ x_2\text{ = 10} \\ \\ y_1\text{ = -5} \\ y_2\text{ = 6} \end{gathered}\)Substituting these values into the internal division formula, we have;
\(\begin{gathered} (x,y)\text{ = (}\frac{10(-4)\text{ + 7(10)}}{10+7},\text{ }\frac{10(-5)\text{ + 7(6)}}{10+7}) \\ \\ (x,y)\text{ = }\frac{-40+70}{17},\text{ }\frac{-50+42}{17} \\ \\ (x,y)\text{ = (}\frac{30}{17},\frac{-8}{17}) \end{gathered}\)Answer:
Step-by-step explanation:
While she was training for a marathon Lucy ran a total of 120 kilometers. How many meters did she run
Answers
ANSWER
My answer is in the photo above
Write an expression
Nine more than the quotient of two and a number x
Answers
Answer:
2/x + 9
Step-by-step explanation:
hen traveling by train, the average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. If the train takes 2 hours, and the average speed is 120 mph. Determine the constant of variation
A: 1/60 miles
B: 120 miles
C: 60 miles
D: 240 miles
will mark brainliest pls help
Answers
The constant of variation of the given problem is calculated as; 240 miles
How to find the constant of variation?A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).
Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;
s ∝ 1/t
Thus;
s = k(1/t)
where k is the constant of proportionality
we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;
120 = k(1/2)
Multiply both sides by 2 to get;
240 miles = k
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The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
Answers
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Answers
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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Find six rational numbers between 3/5 and 3/4
Answers
Answer:
six rational number are
3/5 × 4= 12/20
3/4 ×5 =15/20
we have to find six rational number between 12/20 and 15/20, so we have to multiply numerator and denominator by 7
12×7= 84
20×7=140
15/20×7=105/140
85 ,86 , 87 ,88 89 90
140, 140, 140, 140, 140 ,140
Answer:
\(\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}\)
Step-by-step explanation:
To find six rational numbers between the given numbers,
Check if both rational numbers have the same denominator. If not find the LCM of the denominators.LCM of 5 and 4 is 20.
Find equivalent fractions using the LCM.\(\sf \dfrac{3}{5}=\dfrac{3*4}{5*4}=\dfrac{12}{20}\\\\\\\dfrac{3}{4}=\dfrac{3*5}{4*5}=\dfrac{15}{20}\)
Now, multiply numerator and the denominator of each of the rational number by 10\(\sf \dfrac{12*10}{20*10}=\dfrac{120}{200}\\\\\dfrac{15*10}{20*10}=\dfrac{150}{200}\)
\(\sf \text{six rational numbers between} \ \dfrac{3}{5} \ and \ \dfrac{3}{4}\ are :\)
\(\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}\)
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4,48).
Answers
Answer:
y = 3(2^x)
Step-by-step explanation:
Put the given point values in the equation and solve for 'a' and 'b'.
3 = a(b^0) = a . . . . . for x=0, y=3
The y-intercept has given us the value of 'a'.
__
The other point will tell us 'b'.
48 = a(b^4) = 3(b^4) . . . . . for x=4, y=48
16 = b^4 . . . . . . . . . . . . . . . divide by 3
2^4 = b^4 ⇒ b = 2
The exponential function is ...
y = 3(2^x)
_____
Additional comment
We can use roots to find b:
16^(1/4) = (b^4)^(1/4) = b
2 = b . . . . your calculator can do this, or √(√16) = 16^(1/4) = 2.
State the domain and range of each relation.
10. {(4,5), (6,5), (3,5)}
D=
R=
Function? yes
OR NO
Answers
Answer:
Yes It is function.
Step-by-step explanation:
Domain= { 3,4,6 }
Range = { 5 }
What is the distance between the two points at(-3,8) and(-3,-7)
Answers
Answer:
\(\boxed {\boxed {\sf 15}}\)
Step-by-step explanation:
Distance is calculated using this formula:
\(d=\sqrt {(x_2-x_2)^2+(y_2-y_1)^2\)
where (x₁, y₁) and (x₂, y₂) are the points. We are given (-3,8) and (-3,7). Therefore;
\(x_1= -3 \\y_1= 8 \\x_2= -3 \\y_2= -7\)
Substitute the values into the formula.
\(d= \sqrt {(-3--3)^2+(-7-8)^2\)
Solve inside the parentheses.
-3 - - 3= -3+3= 0 -7 - 8 = -15\(d= \sqrt {(0)^2+(-15)^2\)
Solve the exponents.
0²=0*0= 0 -15²= -15*-15=225\(d=\sqrt {0+225\)
\(d=\sqrt {225\)\(d= \pm 15\)
A negative number for distance doesn't make sense, so the distance must be 15.
Arianna says that the graphs of both of these functions will grow at the same cale s
she correct? Why or why not?
She is correct They grow at the same rate because
She is not correct. The graph of grows at a faster tale
than the graph of g because each value is mutplied by 4
There is not exgh intymaton to to which graph will
grow at a fasheerale
She is not correct The graph of g grows at a faster ale
than the graph of because & greater than 2
37
Answers
Answer:She is not correct The graph of g grows at a faster rate
than the graph of because 8 greater than 2
Step-by-step explanation:
Using PEMDAS, the exponents are done first.
8^3 = 512
4*2^3 = 32
This works for every number that X can be, 3 was just an example.
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
Answers
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
What is the equation of a line that passes through (1,2) and is perpendicular to the given line?
Answers
The given line passes through (0,10) and (2,0), so its slope is
\(\frac{10-0}{0-2}=-5\)
Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.
Substituting into point-slope form,
\(y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}\)
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answers
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.
Answers
Answer:
D) its domain is between -1 and 1
Step-by-step explanation:
cos is actually an even function, and it has a period of 2π.
Sine has a graph symmetric about the y-axis, not cosine.
Answer:
C. Its graph is symmetric about the y-axis.
Step-by-step explanation:
If you graph on desmos it shows that it is symmetric about the y-axis :)
Find the range and mean of 1,3,5,7,9
Answers
Answer:
Step-by-step explanation:
Range: what the numbers range from the smallest to largest. Subtract the largest number and smallest.
Range = 9 - 1
Range = 8
Median: Middle number. If you listed numbers in order from smallest to largest, it is the middle number
Median = 5
You look at a caterpillar under a magnifying glass. The image of the caterpillar is three times the caterpillar's actual size and has a width of 4 in. Find the actual dimension of the caterpillar. Select one: a. 12 in. b. 3 in. c. 4/3 in. d. 3/4 in.
Answers
Answer: c
Step-by-step explanation: 4/1 x 1/3 = 4/3
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained. y = 12+ 1.8x n=17 SSR = 225 SSE = 75 S_01 = 0.2683 Refer to Exhibit 12-3. The t statistic for testing the significance of the slope is a. 1.96 b. 0.555 c. 6.709 d. 1.80
Answers
The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
Given that,
The following information was discovered after applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
y=12+1.8x
n=17
SSR=225
SSE=75
S₀₁=0.2683
We have to find what is the t statistic used to determine whether the slope is significant.
We know that,
Given by, the t test is used to determine whether the slope is significant.
t= b1/s.e
Where b1= slope of the given regression line
s.e= standard error of the line ( Sb1)= 0.2683
The regression line is given by
Y=12+1.8X
X is the independent variable here, and Y is the dependent variable.
Intercept = 12
Slope = 1.8
The t test is used to determine whether the slope is significant.
t= b1/s.e=1.8/0.2683= 6.7089=6.709
Therefore, The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).
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