David consumes two things: gasoline (q 1) and bread (q 2). david's utility function is u(q 1, q 2)equals70q 1 superscript 0.5 baseline q 2 superscript 0.5. let the price of gasoline be p 1, the price of bread be p 2, and income be y. derive david's demand curve for gasoline. david's demand for gasoline is q 1equals nothing. (properly format your expression using the tools in the palette. hover over tools to see keyboard shortcuts. e. g., a subscript can be created with the _ character.)
2. 35 - (10 + 3(9)) = 35 - (10 + 27) = 35 - 37 = -2
3. 3b - 7 4. 4m + 9 + 5m - 12 = 429m - 3 = 42...9m = 42 + 39m = 45m = 45/9...m = 5
5. 3 + (-12) - (-5) = 3 - 12 + 5 = 8 - 12 = -4
6. 4 times a number plus 3 is 114x + 3 = 11...4x = 11 - 34x = 8...x = 8/4x = 2
7. 12p + 7 > 139...12p > 139 - 712p > 132p > 132/12p > 11
8. 7x = 42...x = 42/7x = 6
9. 9h + 2 10. D = ABCC = D/AB
11. y/9 + 5 = 0...y/9 = -5y = -5*9...y = -45
12. 12y = 132y = 132/12...y = 11
13. 3q + 5 + 2q - 5 = 655q = 65q = 65/5q = 13
14. K = LMNM = K/LN
15. h/9 = 7h = 7*9...h = 63
16. 4p + 9 + (-7p) + 2 = 4p + 9 - 7p + 2 = -3p + 11
17. 16y = 164...y = 164/16...y = 10.25 or 10 1/4
18. 4y + 228 = 352...4y = 352 - 228...4y = 124y = 124/4...y = 31
19. E = IRR = E/I
20. 6y - 20 = 2y - 46y - 2y = -4 + 204y = 16...y = 16/4y = 4
Given : The Kahn's Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle.
The area (A) of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid :
, where base and the height of the triangle are represented by b and h, respectively. The bases of the trapezoid are p and q, and the height of the trapezoid is L.
To find the formula for base b, we subtract expression from both sides of the given formula , we get
Now, multiply both sides by 2 and divide both sides by h , we get
i.e. The formula to find the length of base as a function of the lengths of the other sections of the backyard will be :-
1. l= A/πr
2. T = PV/R
3. T = 100l/PR
5. t = v/u + a
2 is C. , 3 is C. , 4 is D.
Square roots are not polynomials
The highest degree of one term in the polynomial is 4
Terms are separated by (+) or (-) signs. If you count them up there are 4
a. use the information that an MC marginal cost curve is a portion of the supply curve so we use the integral of the MC curve as the supply curve in a competitive market where companies are price takers.
b. multiply the Marginal cost function slope by 1/100 now that the competitors are limited to 100 firms.
firstly we know that at MC(marginal cost curve) intersect with AC (average cost curve) is the minimum point that a firm can start selling to break even on quantity produced or supplied and we also know that from that point above the company can be profitable and supply to the market properly without suffering that is why the cost of producing 1 more unit is equal to the cost of production and the portion of the Marginal cost curve above the intersection point can be given the assumption that it is a supply curve.
Therefore if the price at the intersection is price P then P=MC
this is when the marginal benefit of the company is equal to the marginal cost. then now we have the total cost function which is C(q) = 2q + 2q2
and the marginal cost function which is MC= 2+ 4q which is derived from the total cost curve so if we simplify the total cost curve and factorise it further to C(q) = 2q(1+q) we can see that the part in brackets is the cost of producing 1 more unit in the company which represents the marginal cost curve, therefore P=MC so P = 1+q then we solve for q which in turn is the quantity supplied when producing 1 more unit of pizza where MC(Marginal cost curve) and AC( average cost curve) meet
then therefore the competitive supply of that quantity is q=P-1.
then we can equate the marginal cost function which is MC= 2+ 4q
which above we mentioned that is equal to the price P, so P= 2+ 4q
then we solve for q the quantity supplied at price P to get the supply function.
P-2= 4q, then we divide the whole equation by 4 to solve for q.
P/4 - 2/4 =q , we then simplify and rearrange.
q = P/4 - 1/2.
b. if we have 100 firms in the industry then we would multiply the slope for the marginal cost function by 1/100 because now the price in the market and the quantity will be determined by these 100 firms in market supply so MC= 2 + 4q now to adjust the quantity supplied to a competitive market of 100 firms Q,
MC = 2 + 4q(1/100)
MC = 2 + (4/100)Q then simplify the fraction
MC = 2 + (1/25)Q which can be written as
MC = 2 + Q/25 then we know for supply function MC=P so
therefore P= 2 + Q/25.
C, D, D, B
2. A polynomial has only integer exponents, no square roots. So C is not a polynomial.
3. The degree of the polynomial is the sum of the exponents of the highest term. p has an exponent of 1 and q has an exponent 4, so 1+4 = 5. D
4. Count the number of terms being added or subtracted. p^3, 4pq^2, q^2, and -3q. So there are 4 terms. D
5. Standard form of a polynomial is written from the highest exponent to the lowest. So the answer is B.
did you ever get the answer?
in the year 2850, humans successfully colonized mars. the martian modules that were constructed could hold only a small population of people. it is now a century later, and the population on mars has grown to 600 people. of the current mars population, 45 people express the recessive phenotype for phenylketon- uria (pku) syndrome (pp genotype).
Step-by-step explanation: option D