Step-by-step explanation:
8x + 4y <= 136
2x + y <= 34
trying (15, 9) :
2x + 7y <= 70
2×15 + 7×9 <= 70
30 + 63 <= 70
93 <= 70
that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.
trying (0, 10) :
2×0 + 7×10 <= 70
70 <= 70
that is true.
2×0 + 10 <= 34
10 <= 34
also true.
so, (0, 10) is the correct answer option.
Help help help math math
Answer:
gradient M = 4
Step-by-step explanation:
pick any two pairs
M= change in Y / change in X
considering the last pairs
3--1/0--1=4✓
considering first pair
-1--5/-1--2 is also 4✓
I hope it helps
find the value of 7u+7 given that -3u-5=4
Answer:
14
Step-by-step explanation:
-3u = 4+5
-3u = 9
u = -3
7u + 7
7(u +1) = 7(-3+1)
7(-2)
14
Using y = 1 − 2x, plot the ordered pairs from the table. Then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear.
Helppp plzz due in 20 min
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{1}{8} < \frac{2}{7} [/tex]
1/8 < 2/7
Answer: B
#CarryOnLearning
A notecard is 3 inches by 4 inches. How
long is its diagonal
Answer:
7. Is answer
Step-by-step explanation:
Because 3+4=7
If 3 people share 5 pizzas , how much pizza does each person get
Answer:
1 2/3
Step-by-step explanation:
5 pizzas divided by 3 people = 1 2/3
What are the common factors of 45 and 272
O A 1,36.9.15
0
B. 1.39
C 1.3.9.15
D. 1,3,5,9
Answer:
Step-by-step explanation:
they are prime to eachother.
There is only one common factor .i.e.,1
45=1×3×3×5
272=1×2×2×2×2×17
Which model shows the greater rate of change
Answer:
Model B
Step-by-step explanation:
In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5
In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)
-0.5 < 2/3
1. Find selling price in the following cases.
a) Market price = Rs 480,discount = Rs 40
b) Market price = Rs 870, discount = Rs 75.
2. Find cost price or selling price in the following cases.
a) cost price = Rs 120, profit = Rs 25
b) selling price = Rs 200, profit = Rs 20
Answer:
1) a. Rs 440.
1) b. Rs 795.
2) a.Rs 145.
2) b. Rs 180.
Step-by-step explanation:
1) a.
Given,
Marked Price = Rs 480
Discount Amount = Rs 40
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 480 - Rs 40 = Rs 440.
1) b.
Given,
Marked Price = Rs 870
Discount Amount = Rs 75
Selling Price = ?
Now,
Selling Price = Marked Price - Discount Amount
= Rs 870 - Rs 75 = Rs 795.
2) a.
Given,
Cost Price = Rs 120
Profit = 25
Selling Price = ?
Now,
Selling Price = Cost Price + Profit
= Rs 120 + Rs 25 = Rs 145.
2) b.
Given,
Selling Price = Rs 200
Profit = Rs 20
Cost Price = ?
Now,
Cost Price = Selling price - Profit
= Rs 200 - Rs 20 = Rs 180.
what does it mean to square a value/ expression
Squaring a number means multiplying the same number by itself.
For example,
[tex]\\2 \cdot 2 =2^2\\\\a\cdot a =a^2~~ \\\\ (a+1)(a+1) =(a+1)^2 \\\\ (x^{10}+1)(x^{10}+1) =(x^{10}+1)^2[/tex]
Find the 11th term of the arithmetic sequence 10,-40,160,….
Answer:
10,485,760
Step-by-step explanation:
Multiply -4
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer: 27
Step-by-step explanation: LCM of 3 and 27 is 27.
Please help I don't understand
| X = 2 | Y = 3 | Z = 4 |
Evaluate the expression using the solutions above
5x + 6z + 2y
Answer:
The expression can be written as:
5(2) + 6(3) + 2(4).
if I'm wrong, please tell me
What is 1,000 x 10,090g
Answer:
10,090,000 grams
Step-by-step explanation:
Just add three zeros to 10090g.
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
I need help doing this
Mr. Jay sells a box of 15 seedlings for new trees for $12.84. Mr. Tony sells a box of 18 seedlings for $14.95. What is the cost per seedling for each person? Round your answer to the nearest cent (hundredth). Which is the better buy?
Mr. Jay’s cost $____________ per seed. Mr. Tony’s cost $____________ per seed.
Buying a box of seedlings from _____________________ is the batter buy.
Answer: Mr. Jay’s cost 85 cents and Mr. Tony’s costs 83 cents.
Step-by-step explanation:
you divide the price by how many seeds they sold.
Please help my assignment
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
Which algebraic expression is equivalent to the expression below?
3/5x-7/5y
Answer:
455554444444555556555555554444
6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.
The capital formation of the investment function over a given period is the
accumulated capital for the period.
(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.Reasons:
(a) The given investment function is presented as follows;
[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]
(a) The capital formation is given as follows;
[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]
Which gives;
[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]
[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]
[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]
[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]
The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.
Learn more investment function here:
https://brainly.com/question/25300925
A shirt costing $34 is on sale for 30% off. What is the new price of the shirt after the discount?
Answer:
$23.80
Step-by-step explanation:
30% off means we take 30% off of the original price, or we calculate
(1-30%)=70% of the shirt's price
34*70%=23.8
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
Alec invested $1500 in an account with annually compounded interest. The account earns 4% annual interest. How much will Alec have in his account after 4 years?
Answer:
He will have $1,754.79 in his account after 4 yearsStep-by-step explanation:
We can use the compound interest formula to find how much money he will have after 4 years:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] ;
where
A= final amount
P= initial amount
r= interest rate
n= number of times interest applied per time period
t= number of time periods elapsed,
so from the given information, we know that 1500 is our initial amount, so P= 1500.
Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04
and we are asked to find the amount in his account after 4 years, so t= 4
Now, all we need to do is plug in these values for each of the variables and solve.
[tex]A= 1500(1+\frac{0.04}{1} )^{(1)(4)}[/tex]
and we get
A= $1,754.79
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
A. 14 cm
B. 49 cm
C. 60 cm
D. 7 cm
Answer:
the answer is 14
Step-by-step explanation:
[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]
hope this helped
The sum of the bases of a trapezoid using height is 20 cm is 14 cm.
Thus, option (A) is correct.
The formula to calculate the area of a trapezoid is given by:
Area = 1/2 x height x sum of bases
Given that the area is 140 cm² and the height is 20 cm.
Now, rearrange the formula to solve for the sum of the bases:
Sum of bases = (2 x Area) / (height)
Substitute the given values:
Sum of bases = (2 x 140) / (20)
= 14
So, the sum of the bases is 14 cm.
Thus, option (A) is correct.
Learn more about area of Trapezium here:
https://brainly.com/question/16508383
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Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.
Answer:
15 ·
16 ···
17 ··
18 ·
19
Step-by-step explanation:
There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:
17 ··
Hello could I please get a straightforward answer I need to catch up pelsse
Answer:
Step-by-step explanation:
Help me solveee this
Explain how to use the distributive property to find the product (3) (4 1/5)
Answer:
you didn’t answer my question correctly :(
Step-by-step explanation:
If 3(x - 2) = 6, then x
Answer:
8
Step-by-step explanation:
3(x - 2) = 6
3x - 6 = 6
x - 6 = 2
x = 8
hope it helps :)
mark brainliest!!