Answer:
Since the sum is 38, y must be 15. And indeed the difference between 23 and 15 is 8, so it's correct.
Answer:
15 & 23
Step-by-step explanation:
I used an insert and check kind of method. Basically you insert numbers and check if they work for both equations. the equations are as follow:
X + Y = 38
X - Y = 8
I inserted various combinations of numbers and we'll use one as reference.
I used 16 and 22. 16 and 22 correctly fits the requirements of the first equation but when we do 22 - 16 we see that it equals 6. this is 2 off from the second equation. Using this info I ask myself, was the answer close or far from the answer needed.
Hope this answered any questions. please comment on this if you need any othern have a nice day!
A farmer finds that if she plants 50 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest?
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
[tex]F'(x) = \dfrac{d}{dx}( -3x^2- 130x + 1000)[/tex]
[tex]F'(x) = ( -3(2x)- 130(1) +0)[/tex]
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
[tex]F''(x) = \dfrac{d}{dx}( -6x- 130)[/tex]
[tex]F''(x) = ( -6(1))[/tex]
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
[tex]\simeq[/tex] 28
Therefore, the number of trees per acre to maximize the harvest is 28
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
Find an equation of the line containing the given pair of points.
(−5,−5) and (4,4)
Answer:
y = x - 9
Step-by-step explanation:
[tex]Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1[/tex]
[tex]y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\[/tex]
Subtract 5 from both sides;
y = x - 9
Does ANYONE know how to solve this?
Answer:
yes make the triangle 2/3 the size it is right now most likely by dragging it inwards
Step-by-step explanation:
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14. What is the value of the second expression when x = 5, and are the two expressions equivalent? The value of the second expression is 8, so the expressions are not equivalent. The value of the second expression is 14, so the expressions are equivalent. The value of the second expression is 16, so the expressions are equivalent. The value of the second expression is 18, so the expressions are not equivalent.
Answer:
The value of the 2nd expression is 14, so the expressions are equivalent.
Step-by-step explanation:
6 + 2x - 2
6 + 2(5) - 2
6 + (10) - 2
16 - 2
14
Answer:
I believe is The value of the second expression is 14, so the expressions are equivalent.
Step-by-step explanation:
I took the test and got it right.
Name the values of the 5s in 5,500
Answer:
5 thousand and 5 hundred.
Step-by-step explanation:
Answer:
uno dos tres
Step-by-step explanation:
expand and simplify (2x+1)(x-2)(x+3)
Answer:
2^3+3^2−11−6
Explanation:
(2+1)(−2)(+3)
Distribute
(2+1)(−2)(+3)+1(−2)(+3)
(2x+1)(x−2)(x+3)2(−2)(+3)+1(−2)(+3)+1(−2)(+3)
More Distributing
2(+3)⋅2−4(+3)+1(−2)(+3)
23+62−4(+3)+1(−2)(+3)
Even More Distributing
2^3+6^2−4(+3)+1(−2)(+3)
2^3+6^2−42−12+1(−2)(+3)
Combine like terms
2^3+6^2−4^2−12+1(−2)(+3)
2x^3+2^2−12+1(−2)(+3)
Solution
2^3+3^2−11−6
Have a beautiful day, and stay safe!
Answer:
2x³ + 3x² - 11x - 6
Step-by-step explanation:
f(x) = (2x + 1)(x - 2)(x + 3)
(2x + 1)(x - 2) = 2x² - 3x - 2
(2x² - 3x - 2)(x + 3) = 2x³ - 3x² - 2x + 6x² - 9x - 6 = 2x³ + 3x² - 11x - 6
Needdd helpp noww please
Giving extra points
Answer:
b
20
10
Step-by-step explanation:
Given mn, find the value of x.
Find the slope of the line passing through each pair of points. (9,4) and (5,-3).
Answer:
[tex]m=\frac{7}{4}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
(9, 4)
(5, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-4}{5-9}[/tex]Subtract: [tex]m=\frac{-7}{-4}[/tex]Simplify: [tex]m=\frac{7}{4}[/tex]choose 2 numbers with the sum of -72
Answer:
-70 -2
Step-by-step explanation:
Answer:
-9 * 8=-72
Step-by-step explanation:
The tank of Miriams vehicle holds 12.1 gallons of gas.The current price for gasoline is $2.80 per gallon.How much will Miriam pay to full her tank
Answer:
$33.88
Step-by-step explanation:
12.1*2.8 is equal to $33.88
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Find the product. Enter your final answer as a simplified fraction.
1/4•4/5•5/6=
Answer:
I am sorry if I'm wrong, but I got 600 or 36000/60
Step-by-step explanation:
First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)
Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.
Answer:
5.74
Step-by-step explanation:
fx=5(x+4)-6
f(19)=5(19+4)-6
19f=5(23)-6
19f=115-6
19f=109
f=109÷19
f=5.74 or 19 14/19
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
2p(9p − 1) pls help will give brainiest
Answer:
18p^2-2p
Step-by-step explanation:
You need to distribute
2*9= 18, p*p= p^2 so 18p^2
Then
2*-1= -2 and you need to include the p so -2p
PLEASE HURRY, ILL GIVE BRAINLIEST
A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.
Answer:
I= f.t = (50) (0.01) = (0.5) kg.m15
Step-by-step explanation:
jesus loves you and cares for you
HELPPPPPP !!! I seriously don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Answer:
This question was previously answered on Brainly...
Be sure to put this into your own words.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
What is the value of x?
Answer:
8
Step-by-step explanation:
You have to set up a proportion for this!
Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!
If you solve the proportion for x:
[tex]\frac{x}{40} =\frac{7}{35}[/tex]
x = 8
Steve ran for class president against Mandy. Steve received 5 votes for every 3 votes that Mandy received. Mandy received 420 votes. If all the students only voted once?how many students voted in the election? Pls help ASAP!!
Answer:
1120
Step-by-step explanation:
The ratio Steve : Mandy is 5 : 3.
We use a proportion to find the number of votes Steve received.
x = number of votes Steve received.
5/3 = x/420
3x = 5 * 420
x = 5 * 140
x = 700
Steve received 700 votes.
The total number of votes is the sum of the votes Steve receive and Mandy received.
420 + 700 = 1120
Is it correct to write "80.3°"?
Answer:
Yes! Temperature degrees are just like measurements.
The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?
What is the Measure of 3 ?
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8
Step-by-step explanation:
I took the test
A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Find the probability of getting exactly two heads out of three tosses.
Answer:
If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
2/8 Because there is two answers that have two H's on them Ex: HHT, THH
Find the volume of the cylinder 9 cm and 23 cm 
56) A tire retailer plans to sell
$100,000 worth of tires in
January. Planned reductions are
$15,000; planned inventory for
January Ist is $300,000 and for
January 31st is $350,000. As of
January 8th, the retailer has
ordered $15,000 for January
delivery. What is the open-to-
buy for the rest of the month?
Answer:
/
Step-by-step explanation:
Complete the following statement:
12 orders in 2 days =
orders per day.???
Answer:
6 orders per day.
Step-by-step explanation:
12 divided by 2 is 6.
This means that in one day they can pack 6 orders.
Answer:
12 orders in 2 days = 6 orders per day
Step-by-step explanation:
In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.
12÷2=6
Therefore, 6 orders per day.