Answer:
The zeros of the function are x = 4/3 or x = -2
Step-by-step explanation:
To find the zeros of the function, we set f(x) to zero
Thus;
(3x-4)(x + 2) = 0
3x - 4 = 0
or x + 2 = 0
3x = 4 or x = -2
x = 4/3 or x = -2
How many zero are need to write the diameter of the Milky Way Galaxy in standard notation?
A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d P t =P 0 ⋅2 d t , where P t P t is the population after t hours, P 0 P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 14 hours, to the nearest whole number?
Answer:
Population of bacteria in culture after 14 hours is 285541.
Step-by-step explanation:
We are given with [tex]P_{t} =P_{0}(2)^{\frac{d}{t}}[/tex]
Here initial population is 41000 , t=5 and d=14
Plug in these values into the formula
[tex]P_{14} =41000(2)^{\frac{14}{5} }[/tex]
Simplify
[tex]P_{14}= 41000(2)^{2.8}[/tex]
=41000(6.9644)
=285540.5847...
To the nearest whole number is 285541.
Answer:
285541.
Step-by-step explanation:
P0=41000-The initial population
t=14-Time elapsed
d=5-The doubling time
Pt=P0⋅2^t/d
Pt=41000⋅2^14/5-Plug in
Pt=285540.5848≈285541-(Use parenthesis in the calculator for the exponent)
reflect across the line x=-3
Answer:
w 2,3 s2,1 p4,-2 r5,-1
Step-by-step explanation:
is simple you just have to swish the points to the other side to show a reflection
Evaluate each using the values given. P-q ÷ 3; use p= 4, and q = 3
Answer:
3
Step-by-step explanation:
p - q ÷ 3 = ?
First, substitute in 3 for q and 4 for p
4 - 3 ÷ 3 = ?
You divide first because of the PEMDAS rule (Parenthesis, Exponents, Multiplication Division (left to right) Addition Subtraction (left to right)
4 - 1 = ?
Subtract to get your answer:
3
I hope this helps :)
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
21
Step-by-step explanation:it's 22222222211111211111112211
What is the solution set of |-x| = -10?
(10)
7-10)
{-10, 10)
no solution
Answer:
{-10, 10)
Step-by-step explanation:
| | - means to only take the number inside, not the sign
x=-10 or 10
Answer:
i dont understand what you want me to answer
Step-by-step explanation:
I have to find the circumference of 15 cm
Answer:
r = 2.39 and C=2πr=2·π·2.39≈14.99997
Step-by-step explanation:
Using the formula
C=2πr
Solving for r=C 2π=15
2·π≈2.38732
and then u round up the 7 told the 8 to go up.
2.39
An____ is a number, a variable, or a combination of numbers and variables and operation symbols.
A. Equation
B. Expression
C. Ratio
D. Proportion
Answer:
Expression.
Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
What is Expression?An expression is combination of variables, numbers and operators.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
For example 2x+3y-4
In the given expression x and y are the variables.
plus and minus are the operation symbols.
4 is a number and 2 and 3 are the coefficients of a variable.
If the expression has an equal sign then it becomes the equation.
Hence, an expression is a number, a variable, or a combination of numbers and variables and operation symbols.
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I
- Marissa is trying to lose some weight. So far she has lost 13 pounds. Her goal is
to lose 51 pounds. She is on a calorie counting plan that will allow her to lose
2 pounds a week. What is the minimum number of weeks she must follow her
plan before she hits her goal?
Answer:
6
Step-by-step explanation:
In New Jersey the highest elevation is 1,803 feet above sea level and the lowest elevation is-2 feet below sea level. What is the difference in elevations?
Answer:
1805 feet
Step-by-step explanation:
1803-(-2)
1805
!!!!!!!!!!!!!!!!!!!!!
what is the answer for x/1.2=-7
Answer:
x = -8.4
Step-by-step explanation:
You do the inverse operations:
The inverse of division is multiplication, so:
x/1.2 = -7 (x 1.2) - multiply by 1.2
x = -8.4
Point Ris on line segment QS. Given QR = 3x – 8, QS = 3x, and
RS = 2x, determine the numerical length of RS.
Answer: RS
Submit Answer
attempt 1 out of 2
Answer:
RS = 8
Step-by-step explanation:
Given that R is on QS , then
QR + RS = QS , substitute values
3x - 8 + 2x = 3x , that is
5x - 8 = 3x ( subtract 3x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
RS = 2x = 2 × 4 = 8
A team of players are planning to prepare a t-shirt for their next season of games. The team has 13 members and each member will have 2 t-shirts. (a)If a t-shirt costs Rs. 375, what will be the total cost of the t-shirts for the team?(b)A sponsor agrees to pay Rs. 7020 out of the total cost of the t-shirts. The balance amount will be paid by each player. How much will be paid by each player?
Answer:
Rs. 210Step-by-step explanation:
Given that a t-shirt cost Rs. 375,
then 2 t-shirt will cost Rs. 375*2
=Rs.750
a. the total cost will be
13*750
=Rs.9750
b. a sponsor pays Rs.7020
there will be a deficit of
9750-7020
=2730
since there are 13 players each player will pay
2730/13
Rs. 210
convert 3x- y=7 to slope intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
-y = -3x + 7
divide both sides by -1 to get rid of the negatives
y = 3x - 7
Please help everyone, i need help on this really badly.
Solve the system of equations using the substitution method.
{y=2 2x+y=8
Sam screen prints custom t-shirts. He spends $320 each month for the paints he needs to make the shirts. He has found he can purchase quality plain shirts for $9.00 each. He screen prints the shirts and sells them at a local thrift shop for $24.00 each. The thrift shop charges him $100 per month to rent. How many shirts does Sam have to sell each month in order to break even?
Given parameters:
Cost of paint per month = $320
Cost of quality plain shirts = $9 each
Selling price = $24
Rent per month = $100
Unknown:
Number of shirts Sam has to sell to break even = ?
Solution :
Let the number of shirt sold each month = y
To break even the cost price per shirt must be equal to the selling price;
i.e;
Cost price = selling price at break even point;
Cost price = Cost of paint + Cost of quality plain shirt + Cost of rent
= 320 + 9y + 100
= 420 + 9y
Selling price = 24y
To break even;
420 + 9y = 24y
420 = j24y - 9y
420 = 15y
y = [tex]\frac{420}{15}[/tex] = 28
To break even, Sam must sell 28 shirts in a month.
The monthly mean salaries and standard deviations of four college students are given below.
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
Standard Deviation
12.53
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer:
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
I took the test on edge
5x-(-4)=
WHat Is tHe AnSwer
Answer:
5x+4
Step-by-step explanation:
A double negative sign gives a positive sign
Answer: 20
Step-by-step explaination: -4 minus 5x=20 because 4x5=20+-x=20
d)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she
increases her income by Rs 5,000 and decreases the expenditure by Rs 3,000, the
new ratio becomes 5:2. Find her income and expenditure.
Answer:
Sunayana's income is ₹25000 and expenditures are ₹15000.
Step-by-step explanation:
Let i denote the monthly income and e denote the expenditures.
We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:
[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]
Let's multiply both sides by e. This yields:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:
[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]
Let's multiply both sides by [tex](e-3000)[/tex]:
[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]
Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]
So, let's solve for the expenditures. Distribute the right:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]
Subtract [tex]\frac{5}{2}e[/tex] from both sides:
[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]
Subtract 5000 from both sides:
[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]
Multiply both sides by -6/5. So, the expenditures are:
[tex]e=\text{Rs }15000[/tex]
We can use the original ratio to find Sunayana's income:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
Substitute 15000 for e. Evaluate:
[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]
So, Sunayana's income is ₹25000 and expenditures are ₹15000.
And we're done!
Answer: Income = 25000, Expenditures = 15000
Step-by-step explanation:
A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).
Adding 5000 to 5x results in 5x + 5000
Subtracting 3000 from 3x results in 3x - 3000
--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]
The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].
Set the fractions equal to each. Then cross multiply and solve for x.
[tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]
5(3x - 3000) = 2(5x + 5000) Cross multiplied
15x - 15000 = 10x + 10000 Distributed
5x - 15000 = 10000 Subtracted 0x from both sides
5x = 25000 Added 15000 to both sides
x = 5000 Divided 5 from both sides
The original ratio of 5 : 3 --> 5x:3x
where 5x is the income and 3x is the expenditures results in:
income = 5x expenditures = 3x
= 5(5000) = 3(5000)
= 25000 = 15000
An equation is modeled.
What value of x makes the equation true?
1
7
-5
-1
Solve for m
-4(2m + 5) - 3m = 35
Answer:
m=-5
Step-by-step explanation:
Convert 8 centimeters to millimeters.
Answer:
80mm
Step-by-step explanation:
As 1 cm = 10 mm
8 cm=80 mm
Answer:
80 millimeters
Step-by-step explanation:
Well you convert it
Gabriella had some candy to give to her four children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many did she start with
A) 15
B)13
C)16
D)30
Answer:
The answer is 15
Step-by-step explanation:
because it is 2 two each child and there are four and the mom has 7
Lisa and her brother are saving money to go on a trip. For every $2 Lisa saves, her
brother saves $5.
Write a ratio to compare the amount of money Lisa saves to the amount of
money her brother saves. (1 point)
Answer:
The anser is 2:5 or 2/5.
Step-by-step explanation:
The ratio of saving money for Lisa and her brother is 5 : 2.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Lisa and her brother are saving money to go on a trip. For every $2 Lisa saves, her brother saves $5.
Therefore, The ratio of saving money for Lisa and her brother is,
Lisa : Her brother = 5 : 2.
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help! this is urgent!
Answer:
4
Step-by-step explanation:
So we know that Jordan bought 12 balls and Annika bought 16. We also know that they came is packages that each contain some number of balls. We are trying to find the greatest possible number of tennis balls in each package.
The greatest possible number of tennis balls in each package would be the greatest common factor of 12 and 16.
To find the greatest common factor of 12 and 16, lets first find all of the factors of 12 and the factors of 16.
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
From looking at the factors of 12 and 16, we can find that the greatest common factor of 12 and 16 is 4. Therefore, the greatest possible number of tennis balls in each package would be 4.
I hope you find my answer and explanation to be helpful. Happy studying.
What two integers would v26 fall between
Answer:
Your answer is v25 and v26.
Step-by-step explanation:
I hope this helped, have a good day! ;)
Asap need help um plz help
Answer:
3/5
-----------------
the answer is the first one, 3/3.
Write b-^4 where the exponent is positive
Answer:
1/b^4
Step-by-step explanation:
When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.
You currently have b^-4/1 flip it and change the sign to get 1/b^4
The world’s two highest dams are both in Tajikistan. The Rogun dam is
35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the
height of the Nurek dam.
Answer:
300 meters
Step-by-step explanation:
635-35
=600
600/2
300