Answers
Answer:
[tex]\frac{p^2-25}{p^2-10p+25}[/tex]
We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]
-----------------------------
[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]
Now we can factorise the denominator:
[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]
[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]
Cancel out the common factor of (p-5):
[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]
Related Questions
If cos θ = sin 2 θ, then the value of θ is = ___?
Answers
Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
dont sound so smart doing it she will know
Answers
Jeremy is incorrect because a negative plus a negative will always be a negative.
is 0.667 elastic or inelastic?
Answers
Answer:
inelastic is the answer
keep safe
3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2
Answers
The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
here, we have,
Given:
G(x) = x²,
As you can see from the graph, the vertex of the parabola is (0, 3),
Write the equation of a parabola as shown below,
y = a(x - 0)² + 3
y = ax² + 3
Here a is the slope of the parabola,
slope = 4 / 2 (from the graph),
slope = 2
Thus, the equation will be,
y = 2x² + 3 or F(x) = 2x² + 3
To know more about Graph:
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At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answers
Answer:
$3
Step-by-step explanation:
https://brainly.com/question/16432745
Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?
Answers
there are 20 coins.there are only twenty cent and fifty cent coins in it. the total amount in it is $7.60 .How many fifty cents coin are there
Answers
Answer:
10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.
Step-by-step explanation:
change to mixed number
42/8
Answers
Answer:
42/8= 5 2/8
explanation:
8*5=40 42-40=2
therefore
42/8= 5 2/8
Answer:
[tex]5 \frac{2}{8} [/tex]
Step-by-step explanation:
Basically, mix number is formed by 3 parts,
They are,
* A whole number
* A numerator
* A denominator
Now lets write this number as a mix number,
First simply divide 42 by 8
[tex] \frac{42}{8} = 5[/tex]
[tex]remainder = 2[/tex]
Now you can write the remainder as a fraction,
[tex] \frac{2}{8} [/tex]
And now you can write the mix number like this,
[tex]5 \frac{2}{8} [/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Why do you have a premium? That's :(
Answers
Answer:
i dont have a premium
Step-by-step explanation:
Answer:
Step-by-step explanation:
Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?
Answers
Answer:
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Step-by-step explanation:
Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
---------------------------
Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
-----------------------------
Subtract and solve for "s":
0.75s = 30
-----
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Hope this helps
Please help!! I don't have a whole lot of time!!
Answers
The midpoint of the line segment is the average of the respective coordinates.
So the x-value of the midpoint if the average of the two individual x-coordinates.
(-3.5 + 4)/2 = 0.5/2 = 0.25
And the y-value of the midpoint if the average of the two individual y-coordinates.
(2 + (-2.5))/2 = -0.5/2 = -0.25
So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".
Use properties to evaluate 1/3 (-5 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2
Answers
Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) 54 sin 36 A 0.588 oos 36 x 0.809 ta 369 0.727 23 36° he A. 18.61 B. 13.52 C. 16.72 D. 28.43 E. 31.64 O F. 39.12
Answers
9514 1404 393
Answer:
E. 31.64
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the legs of a right triangle:
Tan = Opposite/Adjacent
You are given trig values for 36°. That means ...
tan(36°) = 23/x
x = 23/0.727 ≈ 31.64
Match the equation to the type of solution.
3=3 A. One solution
x=0. B. No solution
4=-2. C. Infinite many solutions
Answers
X=0 - B. No solution
4=-2 - A. One solution
hope this helps .
Miss Jurkovac went to Costa Rica for 6 days and saw 42 monkeys. If she saw 84 monkeys, how many days was she there?__________ days
Answers
Answer:
Step-by-step explanation:
6 times 2 is 12
42 multiplied by 2 is 84
therefore the answer is 12 days.
Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!
Answers
Answer:
C. Transitive property of ≅Step-by-step explanation:
The statement #5 and #7 give an outcome of the statement #8:
ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCBThis is called transitive property of congruence:
If one triangle is similar with another two, then the the other two triangles are similar to each otherCorrect choice is C
Answer:
C. Transitive property of congruence
Step-by-step explanation:
Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.
A sunflower is 13 inches tall and grows 41 inches each month. The
sunflower's height is a linear function of time. Which statement best
describes the rate of change and initial value of this function?
A. The rate of change is the number of inches grown per month, and
the initial value is the first month.
B. The rate of change is the number of inches grown per month, and
the initial value is the starting height.
C. The rate of change is the starting height, and the initial value is the
number of inches grown per month.
D. The rate of change is the number of months per inch grown, and
the initial value is the first month.
Answers
Answer:The rate of change is the number of inches grown per month, and
the initial value is the starting height.
Step-by-step explanation:
The rate of change is the starting height, and the initial value is the
number of inches grown per month.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept
Given,
A sunflower is 13 inches tall and grows 41 inches each month.
The sunflower's height is a linear function of time.
A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
y=13+41x.
Here x represents the number of months
13 is the initial height of the sunflower.
In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes the rate of change and initial value of this function
Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month
To learn more on slope intercept form click:
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What sentence represents this equation? 912=15−x 912 is the same as a number decreased by 15. 15 decreased by 912 is the same as a number. A number is the same as the difference of 15 and 912. 912 is the same as 15 decreased by a number.
Answers
9 1/2 is the same as a number decreased by 15
I guess that's the right answer maybe i'm wrong if I am oh well
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Answers
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.
what is the value of 69 - -26
Answers
Answer:
98
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95
Help help hekpngelpnheopbh kobgelp
Answers
Answer:
5
Step-by-step explanation:
3+2=5
x=3
According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.
Required:
What is an appropriate formal hypothesis statement for Bryanna's study?
Answers
According to her study, we have that:
The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:
[tex]H_0: p = 0.32[/tex]
At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:
[tex]H_1: p > 0.32[/tex]
A similar problem is given at https://brainly.com/question/25679468
Evaluate the expression 9+9+2
Answers
Answer:
20
Step-by-step explanation:
9+9+2=20
Hope this helps :)
Answer: 20
Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20
State the rules for multiplying integers.
Answers
Answer:
If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.
Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Answers
Answer:
I don't know ✌️. ..............
Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3
Answers
Answer:
D. 126 cm³
Step-by-step explanation:
The formula for the volume of a cylinder in terms of its diameter can be written as ...
V = (π/4)d²h
The difference between the volume of the overall cylinder and the volume of the hole is ...
V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h
V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³
The volume of the solid cylinder with a hole in it is about 126 cm³.
what’s the correct answer??? i will give brainlist
Answers
Answer:
yamete kudesai
Step-by-step explanation:
Answer:
I believe it's 2/4.
Step-by-step explanation:
Let me know if it's incorrect.
A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?
Answers
Answer: so either .64 or , .66,
Step-by-step explanation:
divide 3.86 by 6
What is the next number in the pattern 2 5 11 23
Answers
Answer:
47
Step-by-step explanation:
Help help help help help help
Answers
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!