Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).
What is distance?Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.
As the point A(3,1) and point B(3,19) is 18 units away,
2/3 X 18 then add that to point A
2/3 X 18 = 12 so the point we are looking for is (3,13)
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Sally is three times as old as Sam. The sum of their ages is 84. How old is Sally?
Answer:
Sally is 63
Step-by-step explanation:
Represent Sally's age by x and Sam's by y.
Then x = 3y and x + y = 84.
Substituting 3y for x in the second equation, we get:
3y + y = 84, or 4y = 84, or y = 21. Since Sally is 3 times as old as Sam, we multiply 21 by 3: Sally's age is 3(21 years) = 63 years
Find a polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity3 , and 2 as a zero of multiplicity 1.
The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)
To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.
Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.
A polynomial function with these zeros and multiplicities can be written as:
f(x) = (x + 2)³ × x³ × (x - 2)
To make it a polynomial of degree 7, we can multiply it by an additional linear factor:
f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)
Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.
Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.
Therefore, we don't need to include the "x - r" factor, and the final polynomial is:
f(x) = (x + 2)³ × x³ × (x - 2)
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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.
To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.
Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).
Multiplying these factors together, we obtain:
(x + 2)^3 * x^3 * (x - 2)
Expanding this expression, we get:
(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)
To simplify further, we multiply the terms:
(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)
Expanding again, we obtain:
x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2
Combining like terms, we get:
x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2
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p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
Select the equivalent expression.
the equivalent expression is C
Discover the rate of change (slope) of these two points. (-4,5) and (5,-4).
Answer:
-1
Step-by-step explanation:
y2-y1/x2-x1
-4-5/5- -4
-9/9
-1
Factor the following expression.
12x2 + 22x + 8
Answer:
The answer is 2(23x+4).
b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000
Answer:
B
[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]
answer this one for me thanks ppppp
Answer:
16.6 units
Step-by-step explanation:
Hi there!
We can use the Pythagorean theorem to help us solve this problem: [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides
It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:
[tex]14^2+9^2=x^2\\196+81=x^2\\277=x^2\\x=16.6[/tex]
Therefore, the value of x is 16.6 units when rounded to the nearest tenth.
I hope this helps!
PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU
EXPLAIN UR ANSWER = BRAINLIEST
A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.
The area of the dilated trapezoid is ___ square centimeters.
(this is just a word question!)
Answer:
The area of the image is equal to the area of the pre-image multiplied by the scale factor.
The area of the dilated trapezoid is __54*2/3=36_ square centimeters.
Given
g(x) = 4x2 + 6
What is g(-3)
Answer:
[tex]g(-3)=42[/tex]
Step-by-step explanation:
Given:
[tex]g(x)=4x^2+6[/tex]
Let's substitute -3 for [tex]x[/tex]
[tex]g(-3)=4(-3)^2+6[/tex]
Now, let's solve
[tex]g(-3)=4(9)+6[/tex]
[tex]g(-3)=36+6[/tex]
[tex]g(-3)=42[/tex]
Hope this helps
What is another name for the line GI in the image below?
Answer:
Line m
Step-by-step explanation:
The line is labeled with an m.
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
John got $30 for weeding the garden. He used money to buy a $15.25 video game and three snacks that cost $1.25 each. He bought his friend a snack too. If he went home with 1/6 of the money he started with, how much did his friends snack cost? A $5.00 B $6.00 C $8.50 D $11.00 E $13.50 F $14.75
Answer:
B
Step-by-step explanation:
His friends snack was 6 dollars.
15.25+1.25= 16
16+1.25= 17.25
17.25+1.25= 19
1/6 of 30 is 5 because 5x6=30.
30-19=11
He has to have 5 left over so the snack was 6 dollars.
if each square on the grid represents 400mi square how many miles will jacob's family travel?
Answer:
80miles
Step-by-step explanation:
Area of a square grid = L²
L is the side length of the grid
Given that Area of the square = 400mi square
400 = L²
L =√400
L = 20miles
To get the number of miles travelled, we will find its perimeter
P = 4L
P = 4(20)
P = 80miles
Hence Jacob's family travels 80miles
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
A bike trail is 5 25 miles long. Rosie rides her bicycle on the bike trail 6 days a week. How many miles does Rosie ride per week? Choices are A. 30 2/5 miles B. 30 4/5 miles C. 32 2/5 miles D. 32 4/5 miles Thanks <3
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help
Answer:
2400 seconds
Step-by-step explanation:
Answer:
40 min = 2400 sec
Step-by-step explanation:
o(d)'?
Which expression is equivalent to
Answer:
2nd Option:[tex] \frac{1}{ {a}^{42} } [/tex]
Step-by-step explanation:
[tex] {( {r}^{ - 7}) }^{6} [/tex]
Since,
[tex] {( {a}^{x}) }^{y} = {a}^{xy} [/tex]
Then,
[tex] = {r}^{ (- 7 \times 6)} = {r}^{ - 42} [/tex]
Since,
[tex] {a}^{ - 1} = \frac{1}{a} [/tex]
Then,
[tex] = {r}^{ - 42} = \frac{1}{ {r}^{42} } [/tex]
Therefore,
2nd Option is correct.
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
5.Stephanie and Ryan go together to a local video store. Stephanie rents two movies and three
games for a total cost of $24.30. Ryan rents three movies and one game for a total cost of
$18.25. How much does it cost to rent one movie? How much does it cost to rent one game? Show your work
Pls only help if you know the correct answer! Thanks! :)
Answer:
Line C.
Step-by-step explanation:
Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.
If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?
Answer:
S = 62.5%
Step-by-step explanation:
Let the junior members be J.Let the senior members be S.Given the following data;
Ratio of J:S = 3:5 = 3 + 5 = 8
To find what percent of team members are seniors;
[tex] S = \frac {5}{8} * 100 [/tex]
[tex] S = \frac {500}{8} [/tex]
S = 62.5%
Additionally, to find what percent of team members are juniors;
J = 100 - S
J = 100 - 62.5
J = 37.5%
The following is a parallelogram solve for the variables
Help me with this problem !!!!!!!!!!
Answer:
Hi, your answer is y=[tex]-\frac{1}{2} x[/tex]-3
Step-by-step explanation:
We will use the slope-intercept formula which is
[tex]\frac{y2-y1}{x2-x1}[/tex]
We will use two points in this case I'll use
(-2,-2) and (-8,1)
[tex]\frac{1-(-2)}{-8-(-2)}[/tex]=[tex]-\frac{3}{6}[/tex] which can be simplified as [tex]-\frac{1}{2}[/tex]
Your Y will be -3
which your final answer will be y=-1/2x-3
Hope this helps :)
4x + 5 = 3x + 4??????????
4x + 5 = 3x +4
4x - 3x = 4-5
x = -1
value of x is equal to -1
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x +4 (subtract 3x from both sides)
-3x -3x
=1x =0
rewrite: x + 5 = 4 (subtract 5 from both sides)
-5 -5
=0 =-1
Therefore x = -1 (Please mark brainliest hope i helped :)
Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?
Answer:
15
Step-by-step explanation:
Given :
StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue
THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;
|8| = 8 ;
|-7| = 7
Hence,
|8| + |-7| = 8 + 7 = 15
Answer:
15
Step-by-step explanation:
Plz help ill give brainlyest
Answer:
your answer would be become 11 feet