Answer:
$137.25
Step-by-step explanation:
2.25 * 61 = 137.25
Please helpppp me ! If the sum of the roots of the equation mx^2 - (6m+1)x+m^3+m^2+4=0 is equal to 7 , what is the product of its roots ? ( will give brainliest if answer correctly ) . ♡
Answer:
The product of its roots is 6.
Step-by-step explanation:
Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:
[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)
[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)
According to statement, we know that:
[tex]r_{1}+r_{2} = 7[/tex] (3)
By applying (1) and (2) in (3), we have the following expression:
[tex]\frac{6\cdot m +1}{m} = 7[/tex]
[tex]6\cdot m + 1 = 7\cdot m[/tex]
[tex]m = 1[/tex]
If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:
[tex]x^{2}-7\cdot x +6 = 0[/tex]
[tex]r_{1} = 6[/tex]
[tex]r_{2} = 1[/tex]
And the product of the roots is:
[tex]r_{1}\cdot r_{2} = 6[/tex]
The product of its roots is 6.
Urgent!!!
set whether each of the following equations represents a growth or decay
1. f(x)= 3[tex]^{x}[/tex]
2.f(x) = (0.25)[tex]x^{x}[/tex]
3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]
4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]
Answer:
Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.
A general exponential equation can be written as:
f(x) = A*(r)^x
Where A is the initial value, r is the rate of growth, and x is our variable.
If r > 1, the function represents a growth.
if 0 < r < 1, the function represents a decay.
1) f(x) = 3^x
Here we have r = 3
This is clearly larger than 1, then this function represents a growth.
2) f(x) = (0.25)^x
Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.
3) f(x) = (2/3)^x
here we have r = 2/3 = 0.66
This is larger than zero and smaller than 1, then this function represents a decay.
4) f(x) = (3/2)^x
Here we have r = 3/2 = 1.5
This is larger than 1, then this function represents a growth,
What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in
Answer:
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared
r = 12 "
area = 4 X pi X 12 X 12 = 576 pi" squared
ANSWER Area will be 4 times the original
Step-by-step explanation:
Answer:
The answer is D. 8.7
Step-by-step explanation:
A=4πr2
Solving fore
r=1
2A
π=1
2·951.1
π≈8.69978in
which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.
Answer:
b
Step-by-step explanation:
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
16. At a point on the ground 20 feet from the foot of a tree, the angle of
elevation to the top of the tree is 40°. Find the height of the tree. *
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
A group of friends had dinner at a restaurant. The total bill for the dinner was $41 and they left a 15% tip. What was the total amount that they paid?
Answer:
$47.15
Step-by-step explanation:
41x15%=6.15
6.15+41=47.15
Answer: $47.15
Step-by-step explanation:
[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]
or you could do it in pieces
[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]
The sum of two numbers is 59 and the difference is 11
Answer:
35 and 24
Step-by-step explanation:
35 + 24 = 59
35 - 24 = 11
Answer:
24 and 35
Step-by-step explanation:
x + y = 59
x - y = 11, then x = y + 11
substitute for x:
y + 11 + y = 59
simplify:
2y + 11 = 59
subtract 11 from each side of the equation:
2y = 48
divide both sides by 2:
y = 24
x = 35
Mike buys a $ 150 pair of shoes . He has a $ 25 stored-value card and the store gives a 15 % discount if he uses the store's credit card to pay for the shoes. Mike does not use the store credit card to pay for the shoes, but he uses the stored - value card . How much does Mike pay for the shoes ? A $1 102.50 B$106.25 C $125.00 D $127.50
Hurry
What is the value of the expression below when n = 2.4 ?
4n X 2 + 43
What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100
Weißt du Deutsch, ich kann vielleicht helfen
Which of the following is most likely the next step in the series?
Answer:
Option A is the next step in the series.
reflect the figure over the line y=x+2
Pls help im already failing and i really dont understand this
Answer:
B. 9.99 + 1.29n [tex]\leq[/tex] 50
Step-by-step explanation:
The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.
During a basketball game, Bari scored 28 points. During the game, Denay scored 1/4 the number Bari scored. How many points did Denay score during this basketball game?
A. 32
B. 6
C. 24
D. 7
Answer:
7
Step-by-step explanation:
1/4 of 28 = 7
A piggy bank contains six times as many quarters as dimes. If the total amount of money
is $28.80, how many quarters and dimes are in the piggy bank?
9514 1404 393
Answer:
108 quarters18 dimesStep-by-step explanation:
A group of 6 quarters and 1 dime has a value of $1.60. Then there are ...
$28.80/$1.60 = 18
groups like that in the piggy bank.
The number of quarters is 18×6 = 108.
The number of dimes is 18×1 = 18.
There are 108 quarters and 18 dimes in the piggy bank.
Saul paid off a loan with a simple interest rate of 4.7% in 9 months. What was the APR?
6.4%
8.5%
3.5%
6.3%
4.7%
Using proportions, it is found that the APR was of 6.3%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.
Hence, the rule of three is:
9 months - 4.7%
12 months - x%
Applying cross multiplication:
[tex]9x = 12(4.7)[/tex]
[tex]x = \frac{12 \times 4.7}{9}[/tex]
[tex]x = 6.3[/tex]
The APR was of 6.3%.
More can be learned about proportions at https://brainly.com/question/24372153
What is the function g(x) created from f(x) = x ^ 2 xby moving the graph right 4 unitsadding vertical compression by factor of and shifting the graph up 6 units 1/3
Answer:
i believe its g(x) = 1/3(x+4)^2+6
Step-by-step explanation:
HOW MANY ELEMENTS DOES A TRIANGLE HAS
?
Answer:
6
Step-by-step explanation:
3 sides, 3 angles.
Nadia swims at a rate of 50 meters per minute. Create a function f, where f(n) gives the number of meters Nadia swims given the number of minutes she swims, n. Write the appropriate variable and symbol to correctly complete the equation for the function.
f(n) = 50 ________ ________
The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;
f(n)=50n.
This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).
Therefore if Nadia swims for 10 minutes, the function will output 500 meters;
10 minutes x 50 meters/minute = 500 meters
Thus, the required function is;
f(n)=50n.
Learn more about the function here:
brainly.com/question/12431044
#SPJ1
HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!
Answer:
the missing side length = 3
Step-by-step explanation:
Hello There!
This is a 30 - 60 - 90 degree special right triangle
We know this because in these types of triangle the hypotenuse is equal to twice the short leg
[tex]\sqrt{3} *2=2\sqrt{3}[/tex]
to calculate the missing side length (which is the long leg)
we multiply the short leg by [tex]\sqrt{3}[/tex]
[tex]\sqrt{3} *\sqrt{3} =3[/tex]
so the missing side length is 3
Ms.Carmine is making a necklace using small beads. For every red bead that she uses, she adds 6 black beads and 9 green beads. If she used 48 black beads, how many red beads and how many green beads does Ms.Carmine use?
Answer:
8 red beads, 72 green beads
Step-by-step explanation:
1 = x
6 = 48
9 = x
to get from 6 to 48 you multiply by 8 so do that for 1 and 9 to get the answer
1 · 8 = 8
9 · 8 = 72, 72+8 = 80
how many true solutions are in x^2− 6x − 7 = 0
What is the answer to:(15
15x) - (-5+4x)
This is a similar triangle please find the missing length. (?)
Answer:
10
Step-by-step explanation:
Set up as a proportion:
[tex]\frac{QR}{QP}=\frac{BA}{BC}[/tex], insert given values
[tex]\frac{?}{12}=\frac{30}{36}[/tex], cross multiple
36*?=30*12
36*?=360, divide both sides by 36 to get the missing side (?) by itself
?=10
20 stickers increase to 150. what percent increase
Answer:
650%
Step-by-step explanation:
Need some help, please! :D
Answer:
C.)5/12
Step-by-step explanation:
Tan= opposite/ adjacent
Opposite is 15
Adjacent is 36
Simplify 15/36=5/12
Hope this helps! :)
If the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle, then what is cos(θ)?
Answer
cos(θ) = –313√(13)
Step-by-step explanation:
There is a rule we are to establish first to get the answer right.
If the terminal side of an angle θ in standard position intersects a unit circle A(x, y), then cos(θ) = x and sin(θ) = y.
Therefore, given that the terminal side of angle θ goes through the point (−313√13,−213√13) on the unit circle:
cos(θ) = –313√(13)
who's holika & who is bhakt prahlad ????
Answer:
Hello There!!
Step-by-step explanation:
The answer is that there was once a demon king called Hiranyakashyap, who believed that he was more powerful than the all the gods and he wanted everyone like all the people to worship him but his son, Prahlad, did not worship his father.
hope this helps,have a great day!!
~Pinky~