Answer:
D. Vertical translation of 4 units.
Step-by-step explanation:
This transformation keeps x the same but shifts y up 4 units (adding 4 to it). This is a vertical shift up 4, which we can also call a vertical "translation."
Write the degree of [tex] {x}^{2} + 2x + 3 {x}^{5} + 4 {x}^{3} + 9[/tex].
Answer:-
5
Explanation:-The highest degree included in the polynomial is known as degree of polynomial
[tex]\sf \checkmark[/tex] Polynomial with degree 1=monomial
[tex]\sf \checkmark[/tex] Polynomial with degree 2 =binomial
[tex]\sf \checkmark[/tex] Polynomial with degree 3=Trinomial
4. Write 3x(x + 4)(x - 1) in standard form.
3x3 + 9x2 - 12x
3x3
- 12x + 9x2
3x3 + 9x2 - 12x + 1
1 - 12x + 9x2 + 3x3
Answer:
i thank the ans id 450
Step-by-step explanation:
describe the translation. y = (x-5)squared +5 - y = (x-))squared +0
In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).
The translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units
The given parameters are:
[tex]y = (x - 5)^2 +5[/tex]
[tex]y = (x - 0)^2 +0[/tex]
Assume the first point is: [tex]y = (x - 5)^2 +5[/tex]
While the second is: [tex]y = (x - 0)^2 +0[/tex]
The first point is first shifted left by 5 units
The rule to this translation is: [tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex]y' = (x - 5 + 5)^2 + 5[/tex]
[tex]y' = (x - 0)^2 + 5[/tex]
Next, the resulting function is shifted down by 5 units.
The rule to this translation is: [tex](x,y) \to (x,y- 5)[/tex]
So, we have:
[tex]y" = y' - 5[/tex]
This gives:
[tex]y" = (x - 0)^2 + 5 - 5[/tex]
[tex]y" = (x - 0)^2 + 0[/tex]
Hence, the translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units
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Find the sum of ∑4/k=1 (-4k)
Answer:
Hello,
Answer C: -40
Step-by-step explanation:
[tex]\displaystyle \sum_{k=1}^4\ (-4k)\\\\=-4*\sum_{k=1}^4\ k\\\\=-4*4*\dfrac{1+4}{2} \\\\=-4*5*2\\\\=-40\\[/tex]
Part III- Percentage Problems
1. You currently have $4,500 saved in your bank account. You have decided to use $2700.
What percentage of your savings did you use? Show all your work to justify your answer.
2. An organization raises money for students who attend Berkeley College every year.
Currently, they have raised $11,250 which represents 45% of the money they raise.
Determine the amount of money the organization will raise in total. Show all your work
to justify your answer.
The percentage of your savings that I use is 60%
This shows that the amount of money the organization will raise in total is $25,000.
1) Given
Total amount saved = $4500
Amount used = $2,700
Percentage of money used = Amount used/Total amount saved × 100%
[tex]Percentage \ of \ money \ used = \frac{2700}{4500} \times 100\\Percentage \ of \ money = \frac{27}{45} \times 100\\Percentage \ of \ money \ used = \frac{2700}{45} \\Percentage \ of \ money \ used = 60 \%[/tex]
Hence the percentage of your savings that I use is 60%
2) Let the amount of money the organization will raise in total be x
Since the 45% of the money they raise represents $11,250, hence:
[tex]45\% \ of \ x = \$11,250\\0.45x = 11,250\\x = \frac{11250}{0.45}\\ x = 25,000[/tex]
This shows that the amount of money the organization will raise in total is $25,000
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5
Select the correct answer.
What is this expression in simplified form?
5/2 . 9/6
Answer:
Bro 1st expression is in simplest form and 2nd in simplest is 3/2
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
(5/2)*(9/6)
three can go into the fraction(9/6) giving(3/2)
(5/2)*(3/2)=15/4
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Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?
Answer:
0 is the answer measure 1
in chemistry class, 9 Liters of a 40% silver iodine solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
9 L of 40% silver iodine solution contains 0.40 (9 L) = 3.6 L of silver iodine.
x L of a 10% solution contains 0.10 (x L) = 0.1x L of silver iodine.
Mixing these two solutions results in another solution of volume (x + 9) L and containing (0.1x + 3.6) L of silver iodine, which gives it a concentration of 6%.
But this is impossible! Let a < b. You cannot mix two solutions at concentrations of a and b and magically end up with a mixture whose concentration is smaller than a or larger than b, it has to fall somewhere in the middle.
We can still try solving for x to demonstrate this:
(0.1x + 3.6)/(x + 9) = 0.06
0.1x + 3.6 = 0.06 (x + 9)
0.1x + 3.6 = 0.06x + 0.54
0.04x = -3.06
x = -76.5
Nonsense.
Perhaps you meant the target concentration to be 16%? In that case, there is a valid solution:
(0.1x + 3.6)/(x + 9) = 0.16
0.1x + 3.6 = 0.16 (x + 9)
0.1x + 3.6 = 0.16x + 1.44
0.06x = 2.16
x = 36
look the image below
Answer:
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Does the answer help you?Please choose my answer as a brainliest answer and please rate.It take a few mins to solve your question.
Answer:
V≈696.91
Step-by-step explanation:
V=4
3πr3=4
3·π·5.53≈696.90997
The area of a square is 64 cm2 then find it's perimeter.
Answer:
32cm
Step-by-step explanation:
The area of sqaure is a^2
Side will be
underroot of 64 =8
Premeter of sqaure is 4a = 4×8 = 32cm
first we need to find length.
here.
Area= 64cm^2
or, 64= l^2
using formula area = length × length
therefore solving we get ,
length = 8 cm.
now,
perimeter = 4l
= 4 × 8 cm.
= 32 cm..........
Consider the following three expressions. To be the same what would P, Q, and R have to be
Step-by-step explanation:
Px^2+6x+1=x^2+x^2+Qx+1
P=2 and Q=6
Next, 3x^2-5-(x^2-6x+R/2)=2x^2+6x+1
2x^2-5-R/2+6x=x^2+6x+1
-5-R/2=6, R=-22
10-5x=3(x-4)-2(x+7)-------
Answer:
x=6
Step-by-step explanation:
10-5x=3(x-4)-2(x+7)
Distribute
10-5x=3x-12-2x14
Combine like terms
10-5x = x-26
add 5x to each side
10-5x+5x = x+5x-26
10 = 6x-26
Add 26 to each side
10+26 = 6x-26+26
36 = 6x
Divide by 6
36/6 = 6x/6
6 =x
Answer:
[tex]10-5x=3\left(x-4\right)-2\left(x+7\right)[/tex]
[tex]3\left(x-4\right)-2\left(x+7\right)[/tex]
combine like terms:-
[tex]=3x-12-2x-14[/tex]
[tex]3x-2x=x[/tex]
[tex]=x-12-14[/tex]
Subtract -12 -14
[tex]=x-26[/tex]
[tex]10-5x=x-26[/tex]
Subtract 10 from both sides:-
[tex]-5x=x-36[/tex]
Now, subtract x from both sides:-
[tex]-5x-x=x-36-x[/tex]
[tex]-6x=-36[/tex]
Divide both sides by -6:-
[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]
[tex]x=6[/tex]
OAmalOHopeO
We have that 2a+1=1 and b-a=1. What is the value of b?
Answer:
b=1
Step-by-step explanation:
2a+1 =1
Subtract 1 from each side
2a+1-1 = 1-1
2a=0
a=0
Now find b from the second equation
b-a =1
b-0=1
b=1
Answer:
Equation: 2a+1=1
Subtract 1 from both sides: 2a=0
Divide by 2: a=0
Equation: b-a=1
Substitute: b-0=1
Combine: b=1
So, b=1.
Let me know if this helps.
What is the length of the hypothenuse of the triangle?
Answer:
26ft
Step-by-step explanation:
10^2 +24^2 =AB^2
AB=26
Answer: 26 ft
Step-by-step explanation:
a^2+b^2=c^2
10^2+24^2 = c^2
100+576=c^2
Sqrt 676 = c
C = 26
what is the scale of factor?
The length of CV is 5 units
The length of C’V’ is 7.5 units
The scale factor is 7.5 / 5 = 1.5
Answer: 1.5
fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps
Answer:
4
Step-by-step explanation:
count up from -5 to -1
so -5,-4,-3,-2,-1 and there are four numbers excluding-5
Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively
Answer:
17
Step-by-step explanation:
Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.
And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.
Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527
We will find the HCF of 391, 425 and 527 by prime factorization method.
391=17×23425=52×17527=17×31
Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.
So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.
Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.
Which of the following phrases are expressions?
6-1>L,
-6k = -8,
1/4<3/8,
3 + 5
Answer:
-6k = -8 is an expression
A and C are inequalities
D is arithmetic
The distributive property is used to change the following expression from 3(5+6) to 3(5) + 3(6)
Let two events A and B be independent. Knowing P(A)=0.8 and P(A+B)=0.93. Calculate the probability P(B).
Answer:
Hello,
P(B)=0.65
Step-by-step explanation:
If P(A+B) means P(A∪B)=0.93 then you may read below.
Let's say x=P(B)
A and B being independent, P(A∩B)=P(A)*P(B)=0.8*x
Since P(A∪B)=P(A)+P(x)-P(A∩B) ,
0.93=0.8+x-0.8*x
0.2*x=0.13
x=0.65
1. A set is said to be a singleton set,ig
a) n (A)=1
b) n (A)=0
For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)
Answer:
(n-10)
Step-by-step explanation:
Jdjdjdhbejdudjkdff
What is the end behavior of the function f(x)=54x2?
9514 1404 393
Answer:
as x → ±∞, f(x) → ∞
Step-by-step explanation:
The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.
Use logarithmic differentiation to find dy/dx
Answer:
Hello,
Step-by-step explanation:
Let's say:
[tex]y=x^{cotg(x)}\\\\ln(y)=cotg(x)*ln(x)\\\\\\\dfrac{y'}{y}=\dfrac{-1}{sin^2(x)} *ln(x)+\dfrac{cotg(x)}{x} \\\\\\y'=-\dfrac{x^{cotg(x)}*ln(x)}{sin^2(x)} +cotg(x)*x^{cotg(x)-1}\\[/tex]
The vertices of a quadrilateral are listed below. A(8,-1), B(13,-1), C(18,-7), D(8,-7) Which of the following is the strongest classification that identifies this quadrilateral? A. The quadrilateral is a rhombus. B. The quadrilateral is a trapezoid. C. The quadrilateral is a square. D. The quadrilateral is a rectangle.
Answer:
A
Step-by-step explanation:
Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus
SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN
Choose the expression that is equivalent to -4 - (-9).
A 4 + 9
B 4 - 9
C -4 + 9
D -4 + (-9)
Answer:
d
Step-by-step explanation:
[tex]\\ \sf\longmapsto -4-(-9)[/tex]
[tex]\\ \sf\longmapsto -4+9[/tex]
Option C is correct .
Note:-
(-)(-)=(+)(+)(-)=(-)(-)(-)=(+)(+)(+)=(+)solve for x please help ! (show work)
Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Answer:
X=-5
Step-by-step explanation:
-(5x-2)=27
-5x+2=27
-5x=27-2
-5x=25
x=25/-5
=-5
look at the image below
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It take a few minutes to solve your question.
find two expressions whose difference is 3x + 4
Answer:
(7x+4) and (4x)
Step-by-step explanation:
The expression are (7x+4) and (4x)
The two expressions are (4x+4) and x whose difference is 3x + 4.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Let two expressions are (4x+4) and x
So, difference of two expressions as :
⇒ (4x+4) - x
⇒ 3x + 4
Hence, the two expressions are (4x+4) and x whose difference is 3x + 4.
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Based on what we have learned, how can we ensure that we choose a sample of students that is representative of all 8:00 AM classes that take place on a given morning
Sampling technique is a way of selecting a sample from a given population. The best way to get a sample of students that represents all 8:00 AM classes is by using a stratified sampling technique.
From the complete question, we can summarize the given data as follows:
[tex]Buildings = 3[/tex] ----3 buildings in the college
[tex]Lecture\ Halls =2[/tex] ---- 2 lecture halls in each building
[tex]Capacity = 100[/tex] --- 100 students in each lecture hall
Because the students' lecture halls are not in the same building, the best way to get a sample is as follows:
Divide the students into groups (In this case, the students will be grouped by the buildings of their lecture halls)The number of students in each building is:
[tex]Students = Capacity \times Lecture\ Halls[/tex]
[tex]Students = 100 \times 2[/tex]
[tex]Students = 200[/tex]
There are 200 students in each building
Then select at random an equal proportion of student from each building (say 30 students in each building)The above method is referred to as a stratified sampling technique because the population of the students are divided into groups, before being randomly selected.
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