(7x+3) x (4x-5)
7x*4x = 28x^2
7x*-5 = -35x
3+4x = 12x
3*-5 = -15
so you get 28x^2 -23x -15
Answer: The required multiplied expression is [tex]28x^2-23x-15.[/tex]
Step-by-step explanation: We are given to multiply the following linear factors and write the answer is standard form :
[tex]M=(7x+3)(4x-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following distributive property :
[tex](a+b)(c+d)=a(c+d)+b(c+d).[/tex]
From (i), we get
[tex]M\\\\=(7x+3)(4x-5)\\\\=7x(4x-5)+3(4x-5)\\\\=28x^2-35x+12x-15\\\\=28x^2-23x-15.[/tex]
Thus, the required multiplied expression is [tex]28x^2-23x-15.[/tex]
A man bought a horse and carriage for $500 paying three times as much for the carriage as for the horse how much did each cost
Q=p(r+s) solve for p
Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet combinations dose sonia have to chose from?
What is the value of n? -6.5(n - 5) = 18.2
-6.5(n-5) = 18.2
-6.5n + 32.5 = 18.2
-6.5n = -14.3
n = -14.3 / -6.5 = 2.2
n = 2.2
Nine less than a number is no more than 8 and is no less than 3
I need the steps to this problem, please!
help me plz it will be on the exam! Pedro and Bobby each own an ant farm. Pedro starts with 100 ants and says his farm is growing exponentially at a rate of 15% per month. Bobby starts with 350 ants and says his farm is steadily decreasing by 5 ants per month.
Assuming both boys are accurate in describing the population of their ant farms, after how many months will they both have approximately the same number of ants?
Final answer:
To find the month when Pedro's exponentially growing ant farm and Bobby's linearly decreasing ant farm have the same number of ants, we set the exponential growth formula equal to the linear decrease formula and solve for the number of months, using graphical or numerical methods.
Explanation:
We need to determine after how many months Pedro's exponentially growing ant farm will have the same number of ants as Bobby's linearly decreasing ant farm.
Let's denote the number of months as m. Pedro's ant farm starts with 100 ants and grows at a rate of 15% per month, so the population at month m is PPedro = 100 × (1 + 0.15)m.
Bobby's ant farm starts with 350 ants and decreases by 5 ants per month, so the population at month m is PBobby = 350 - 5m.
We need to find the month m where PPedro is approximately equal to PBobby. This can be solved by equating and solving the two expressions:
100 × (1 + 0.15)m ≈ 350 - 5m
To solve this, we can use either graphical methods or numerical methods such as iterative approximation, since an exact solution may not be possible through algebraic methods. We are looking for the value of m that makes both sides approximately equal.
An angle measures 24° more than the measure of a complementary angle. what is the measure of each angle?
The angle which is 24° more than the measure of its complementary angle is 66°.
What are complementary angles?Two angles whose sum is equivalent to 90 degrees are called complementary angles. Mathematically -
∠x + ∠y = 90°
Assume that the angle which is 24° more than the measure of its complementary angle be [x].
Then, we can write -
x + 24 = 90
x = 90 - 24
x = 66°
Therefore, the angle which is 24° more than the measure of its complementary angle is 66°.
To solve more questions on angles, visit the link below-
https://brainly.com/question/12307588
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Solve the equation −3=8x−4y−3=8x−4y for y
4x+3=x+15 Which statement correctly explains why this equation has only one solution? Answer Choices The equation is true only when x=4 . The equation is true for all the values of x . The equation is true for no values of x . The equation is true only when x=−4 .
Footrace takes place among 4 runners, how many ways to finish the race
4 * 3 *2 *1 = 24 different ways
Given that 2004-02-03-02-00_files/i0160000.jpg is a median of /, find FG.
the georges traveled 498.2 miles on 15.8 miles of gas how many miles per gallon did they get to the nearest tenth of a mile?
identify the like terms 12c,d,c,-2c,4d
The formula V=I*W*H is used to find the volume of a rectangular prism,where V=volume,I=Length,W=Width,And H=height of a rectangular prism has a volume of 360 Cm3 and you know that the length is 9cm, and the width is 4cm,what is the height?
Select the correct answer answer below.
A.5cm
B.10cm
C.20cm
D.30cm
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.
solve 14x^2 + 42x + 70 = 0
Answer:
x = -3/2 ± i(√11)/2
Step-by-step explanation:
The quadratic formula can be used directly, but I find it convenient to divide by 14 first:
x^2 +3x +5 = 0
The solution to ...
ax^2 +bx +c = 0
is given by the formula ...
x = (-b ±√(b^2 -4ac))/(2a)
Here, we have a=1, b=3, c=5, so the formula gives the solutions ...
x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex
PLEASE HELP!
The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300. Describe an advantage of each prize category.
help me please!!!!!!!
ANYONE KNOW ACCOUNTING???
Ken went to the store with his mother he spent 2.37 on groceries in addition his mother said he can spend 0.35 on candy what was his change from a five dollar bill
jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
a. creditor
b. government representative
c. employer
d. landlord
a creditor will run her report,
creditor = credit report.
Answer:
a) Creditor
Step-by-step explanation:
a) Right. Creditor
She's applying for a Car loan, the Creditor, i.e. the one who is going to lend her the money to buy a new car. In this case, if Jill is applying to a bank . The creditor will be the Bank she's applying for.
Let's look a the definition of Creditor:
A creditor is a person or company that provides credit to another person or company functions as a creditor.
creditor. (n.d.) Lightbulb Press Dictionary of Financial Terms. (2008). Retrieved September 18, 2019
b) Wrong. There is no direct cause-effect relation since a Government Representative might describe virtually any public civil servant. And also her application has nothing to do with Public Funding.
c) Wrong. Her employer is not the person appointed to determine if she's able to receive the loan. As her boss He/She whether Jill is eligible for a car loan.
d) Wrong. Similarly, her landlord is not the person appointed to determine if she's able to receive the loan.
What was true about settlement of the louisiana territory?
Answer:
Settlers in the territory wanted the same approach to slavery as in the states they came from
Step-by-step explanation:
Louise runs the first half of a race at 5 miles per hour. then she picks up her pace and runs the last half of the race at 10 miles per hour. what is her average speed on the course?
Can you guys help me please ?(:
how to solve for sum of a quadratic roots if ratio of roots is given
The ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), and (5, 1,024) represent a function. what is a rule that represents this function?
Final answer:
The rule that represents the given function with ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), (5, 1,024) is f(x) = 4^(x-1), which is determined by observing the pattern of the ordered pairs.
Explanation:
Identifying the Rule of a Function
The ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), and (5, 1,024) represent a function where each input from the domain is mapped to a unique output in the range. Observing the pattern of the ordered pairs, we can infer a rule that corresponds to this function. Each second element in the pair appears to be an exponentiation of 4 to the power of the first element minus one.
The general rule for this function can be expressed as f(x) = 4^(x-1). We can verify this by plugging in the values from the domain (1 through 5) into the function:
For x = 1, f(1) = 4^(1-1) = 4^0 = 1
For x = 2, f(2) = 4^(2-1) = 4^1 = 4
For x = 3, f(3) = 4^(3-1) = 4^2 = 16
For x = 4, f(4) = 4^(4-1) = 4^3 = 64
For x = 5, f(5) = 4^(5-1) = 4^4 = 256
Therefore, the rule representing this function is f(x) = 4^(x-1).
Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35
Classify the triangle formed by the given side lengths:
3, 4, 6
a. right triangle
b. acute triangle
c. obtuse triangle
d. not a triangle
There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roulette wheel, what is the probability that it would land on a green pocket
The probability of an American roulette wheel landing on a green pocket is 1/19, which is calculated by dividing the number of green pockets by the total number of pockets on the roulette wheel.
Explanation:The student is asking about the probability of a specific outcome in a random event, specifically, the likelihood of landing on a green pocket in an American roulette game. To find this probability, we need to look at the total number of pockets and how many of them are green. With 38 total pockets and 2 being green, the probability that the roulette wheel will land on a green pocket is calculated by the ratio of green pockets to total pockets.
To calculate it: Probability = Number of green pockets / Total number of pockets = 2 / 38 = 1/19
This simple division computes the likelihood of a single spin resulting in a green pocket landing. Importantly, this calculation assumes each pocket has an equal chance of being landed on and that there are no biases in the wheel.