The difference is StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
[tex]\frac{x}{x^{2} -2x-15} -\frac{4}{x^{2} +2x-35}[/tex]
[tex]\frac{x}{x^{2} -5x+3x-15} -\frac{4}{x^{2} +7x-5x-35}\\\frac{x}{(x-5)(x+3)} -\frac{4}{(x-5)(x+7)}[/tex]
by Taking LCM
[tex]\frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\[/tex]
[tex]\frac{x^{2} +3x -12}{(x-5)(x+3)(x+7)} \\[/tex]
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Answer: The correct answer is D on edge
Step-by-step explanation:
got it right on the pretest
need some help with the question in the image
Cheers
Answer: 1.45litres
Step-by-step explanation:
250ml = 0.25litres
1.2+0.25= 1.45
ans is 1.45litres
Translate this phrase into an algebraic expression:
51 decreased by twice Carlos‘ age
Use the variable ‘C’ to represent Carlos‘s age
51-2C
Solution:First, multiply C times 2:2C (twice Carlos's age)Now, subtract 2c from 51:51-2cHope it helps.
Do comment if you have any query.
what is the horizontal asymptote of j(X) = 14x^3 + 45/2x^3 +x+9 ?
Answer:
y = 7
Step-by-step explanation:
Since the biggest exponent on the top (numerator) and the bottom (denominator) are EQUAL...both are the third power in this question. Then just grab the coefficients (the number next to it, the 14 and below, the 2)
Keep them stacked the way you see them:
14/2 and write the equation. A horizontal line has the form y=
In this case, y = 14/2
y = 7
(jfyi if the top has a bigger exponent, then NO horizontal asymptote. If the bottom has a bigger exponent, then the H.A. is y = 0)
The measure of two sides of a triangle are given. Between what two numbers
must the third fall? Complete the inequality.
9 and 15
Compare and contrast domain and range.
-> The domain is the input values
[] What "goes into" the function
[] The x-coordinate values
-> The range is the output values
[] What "comes out" of the function
[] The y-coordinate values
-> They both are values from / with regards to a function.
That was the 1st out 15 rounds come and get a prize brainilest
_________________________________________________________
Why do we include 40 if it says less than?
Good question.
We include 40 because it technically counts as representing itself or anything within the range of 20 and 40
Two spheres have volumes of 8π cm3 and 64π cm3. if the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere? 64π cm2 96π cm2 128π cm2 256π cm2
The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.
The volume of the larger sphere = 64π cm³
let us take the radius of the larger sphere r
So, 4/3*π*r³ =64π
r³=48
r=2∛6
What is the surface area of a sphere?The surface area of a sphere with radius r is 4πr².
So, the surface area of the larger sphere = 4π(2∛6)²
The surface area of the larger sphere = 16π∛36
Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.
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Choose the shape of the cross section formed.
Answer:
The first figure: Its the Triangle
The second figure: Its the rectangle
The third figure: Its the rectangle (for me this one would be a square)
Hope this helps!!
Find the nature of the roots of 4x ^ 2 + 6x - 7 = 0
a. complex
b. irrational
c. rational
d. real and equal
Answer:
b
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
the discriminant b² - 4ac informs us about the nature of the roots
• If b² - 4ac > 0 then roots are real and irrational
• If b² - 4ac > 0 abd a perfect square then roots are real and rational
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 the roots are complex
4x² + 6x - 7 = 0 ← is in standard form
with a = 4, b = 6, c = - 7 , then
b² - 4ac = 6² - (4 × 4 × - 7) = 36 - (- 112) = 36 + 112 = 148
since b² - 4ac > 0 then roots are real and irrational
I need help on this question
Answer:
27,375.34
Step-by-step explanation:
I did 3 percent of 28,222 then subtracted it from 28,222
What is the vector that results from transforming å by the transformation matrix?
5
2 -6
ă
and B=
-3
8
-1
Enter your answer by filling in the boxes.
Answer:
that's what you get on multiply ing the given matrices
Answer: ( 28, 43)
Step-by-step explanation: I took the test.
[ 2 -6 ] [ 5 ] = [ (2)(5) + (-6)(-3) ] = [ 28 ]
[ 8 -1 ] [ -3] [ (8)(5) + (-1)(-3) ] [ 43 ]
Thus the answer is (28, 43)
An expression is shown.
4(x+3)−10+ 6x
What expressions are eqivalent to the expression
above?
(Select all that apply.)
10x - 7
- 2x - 7 7
2(5x + 1)
2(8x + 1)
4x +3 - 10 + 6x
4x + 12 - 10 + 6x
I will make you brainiest PLEASE HELP!!!!!!!!!!!!!!
Answer:
10x+2
Step-by-step explanation:
creo que es esa no se si esta bien
I NEED THIS FAST
To create the histogram, whar values did you use for the x axis minimum and maximum and for the interval size?
The histogram shows the distribution of the x and y values
The minimum x value is 3, the maximum x value = 8 and the interval size is 1
How to interpret the histogram?From the figure of the given histogram, we have the following highlights:
Minimum x value = 3Maximum x value = 8The interval size is the difference between different classes.
i.e.
Interval = 4 - 3
Interval = 1
Hence, the interval size is 1
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A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
PLEASE HELP IF YOU CAN
Answer:
0.111
The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.
Step-by-step explanation:
What is the total length of the tadpoles that are 1/8-inch and 1/4-inch long?
7/8 inches
1 1/8 inches
5/8 inches
3/8 inches
The dot plot shows the frequency or length of the tadpoles
The total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches
How to determine the total length?From the dot plot, we have the following parameters:
3 tadpoles have a length of 1/82 tadpoles have a length of 1/4So, the total length is:
Total = 3 * 1/8 + 2 * 1/4
Evaluate the product
Total = 3/8 + 1/2
Rewrite as;
Total = 3/8 + 4/8
Evaluate the sum
Total = 7/8
Hence, the total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches
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what is the vaule of x?
Answer:
98 degree
Step-by-step explanation:
x = 180 - FGH
but
FGH = 180- (53+45)
thus
FGH = 82
thus
x = 180-82
thus
x = 98
Which equation could be used to find the number of days, d, in h hours? A. 24+h=d B. 24h=d C. 24/h=d D. H/24=d
Answer:
h/24= d
if you have any questions do ask
can someone help I don't know
Answer:
B. None of the above
Step-by-step explanation:
For this problem the strategy is to count the squares to find the value of each dimension:
The length has 4 squares → L = 4 unitsThe width has 3 squares → W = 3 unitsThe height has 5 squares → H = 5 unitsVolume = L x W x H
Volume = 4 x 3 x 5
Volume = 60 units cubed
I hope this helps!
Use the figure shown on the right,
11. What is the classification of the figure?
12. Name the bases,
13. Name the faces,
14. Name 2 edges and all of the vertices,
Answer:
Here's a link for the answer
A machine in a box making factory can make 57 boxes in 3 minutes. How many boxes could the machine make in 25 minutes?
Explain how you got the answer.
Answer: 475 boxes
Step-by-step explanation: i did the math
i divided 57 by 3 and it was 19 thats the amount of bxes per min then i multipyed by 25
Answer:
475
Step-by-step explanation:
In 1 minute It makes:
57/3 = 19
In 25 minutes It makes:
25 * 19 = 475
What value of c makes x2 6x c a perfect square trinomial?
The value of c that makes the given trinomial a perfect square is 9.
The given expression is:
[tex]x^{2} +6x+c[/tex]
What is a perfect square trinomial?A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.
Let us write the given expression in (a+b)² form
[tex]x^{2} +6x+c[/tex]
[tex]x^{2} +2*3*x+c[/tex].....(1)
We know [tex](a+b)^2=a^{2} +2ab+b^{2}[/tex]......(2)
To make (1) like we need to put c=9
[tex]x^{2} +2*3*x+9[/tex]
[tex]x^{2} +2*3*x+3^2[/tex]
[tex](x+3)^2[/tex]
Hence, the value of c that makes the given trinomial a perfect square is 9.
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what is the scale factor from figure A to figure B
Answer: 6/7
Step-by-step explanation:
Could i get some help on this?
Answer:
Where is the question??
100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9
Answer:
y = 2
x = 7
Explanation:
5x + 3y = 413x - 6y = 9Make the coefficient of "y" in equation 1 same
{ 5x + 3y = 41 } * 2 → 10x + 6y = 82 ........equation 1
→ 3x - 6y = 9 ........equation 2
solving them using linear combination
10x + 6y = 823x - 6y = 9============
13x = 91x = 7Find y:
5x + 3y = 415(7) + 3y = 413y = 41 - 353y = 6y = 2In some countries, people believe that blood type has a strong impact on personality. For example, Type B blood is thought to be associated with passion and creativity. A statistics student at a large U. S. University decides to test this theory. Reasoning that people involved in the arts should be passionate and creative, she takes a simple random sample of students majoring or minoring in arts at her university and asks them for their blood type. Here are her results:
Observed number of performing arts majors with each blood type
Type A Type B Type AB Type 0 Total
50 23 10 67 150
Assume the distribution of blood type among all U. S. Residents is as follows:
Type A: 42%; Type B: 10%; Type AB: 4%; Type O: 44%.
(a) The student wants to carry out a test of significance to see if the distribution of blood types among arts majors or minors is different from the U. S. Distribution. State the null and alternative hypotheses for this test.
(b) Find the expected counts for each blood type under the assumption that the null hypothesis is true.
(c) Discuss whether the conditions for this test have been met.
(d) Find the value of the test statistic and the P-value of the test, and make the appropriate conclusion. Use α = 0. 5.
(e) Based on your answer to (d), which error is it possible that you have made, Type I or Type II? Describe that error in the context of the problem
The null hypothesis for the test regarding the blood type is that they distribution of blood types among art major is the same as the US distribution.
What is a null hypothesis?It should be noted that null hypothesis simply suggests that there is no statistical relationship.
Here, the null hypothesis for the test regarding the blood type is that the distribution of blood types among art major is the same as the US distribution and the alternative hypothesis is that the distribution of blood types among art major is different from the US distribution.
The conditions for this test have been met as all expected frequencies are greater than 5.
Since the test statistic is 9.63 and the p-value is 0.022, one can reject the null hypothesis. Therefore, it'll be concluded that the distribution of blood types among arts majors and minors is different from the U.S distribution.
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Jasper wants to buy 4kilograms of nails and 4kilograms of standard washers .How much will hespend? rivets $0.69 per kg nails $0.74 per kg standard washers $1.67 per kg split washers $1.12 per kg bolts $0.90 per kg $ Questions answered
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns. the first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. the second row is labeled temperature (degrees celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5. according to the line of best fit, at what time will the temperature reach 100°c, the boiling point of water? 5 5.5 6 6.5
According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
What is linear regression?Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.
Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5. Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,
The mean of time value, 2.25.The mean of temperature value 88.05Sum of squares 20.625Sum of products 93.625The regression equation for this data can be given as,
[tex]\hat y=4.53939 X+77.83636[/tex]
Put the value of temperature (y) 100 in this equation.
[tex]100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5[/tex]
Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
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Answer:
the first answer is correct (a)
Step-by-step explanation:
Write (5i)2 as either an integer
or an integer multiple of I
[tex](5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25[/tex]
(5i)² can be written in integer form as as -25.
What is a Complex number?The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.
So a complex number has a real part and an imaginary part.
The imaginary number 'i' is called iota and value of i is √-1.
We know the value of i.
i = √-1
i² = -1
(5i)² only has an imaginary part.
∴ (5i)² = 5² i²
= 25 × -1
= -25
Hence we can write (5i)² as -25 in the integer form.
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a customer borrows $950 at 6% annual interest rate
Answer:
The total amount the customer would have to repay after one year is $1,007.
(2 Years = $1,067.42) (3 Years = $1131.47) (4 Years = $1199.36)
(5 Years = $1271.32)
Step-by-step explanation:
$950 • 6% = $57
$950 • 0.06 = $57
$950 + 6% = $1,007
I hope this helps.
There are 1 blue ball pen, 1 red ball pen, and 1 green ball pen in Lily's bag while there are 1 blue ball pen and 1 red ball pen is Mandy's bag. A ball pen is randomly drawn from each bag. Find the probability that both ball pens drawn are green
Answer:
well its simple really.
Step-by-step explanation:
its a 1 percent chance however, by moving her hand around enough like around 20 seconds she'll get green.