Answer:
(-5, -6)
Step-by-step explanation:
The smaller integer is x.
The larger integer is x + 1.
x + 1 = 7 + 2x
-x = 6
x = -6
x + 1 = -6 + 1 = -5
Answer: (-5, -6)
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pumpkin acre and y represent the number of squash acre, hence:
x + y ≤ 240 (1)
Also:
20x + 10y ≤ 3200 (2)
The solution is at x = 80, y = 160
Maximum profit = 400x + 300y = 400(80) + 300(160) = $80000
The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.
Find out more on equation at: brainly.com/question/2972832
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PA is a tangent, PBC is a secant, AOC is a diameter, AD and DC are chords
Angle APC = 57, Angle DC = 34
<em>[measurements are in degrees]</em>
(A) Arc BA = 66
Since AOC is a diameter, Arc AC is 180. Angle APC is equal to half the difference between BA and AC.
APC = 1/2 (AC - BA)
57 = 1/2 (180 - BA)
114 = 180 - BA
BA = 66
(B) Arc BD = 80
BD is 360 minus BA, AC, and DC.
BD = 360 - BA - AC - DC
BD = 360 - 180 - 66 - 34
BD = 80
(C) Angle ACD = 73
ACD is half of ABD, which is BA plus BD.
ACD = 1/2 (BA + BD)
ACD = 1/2 (66 + 80)
ACD = 1/2 * 146
ACD = 73
(D) Angle BED = 130
BED is the same as AEC, which is 180 minus ECA and EAC.
ECA is half BA, and EAC is half DC.
BED = 180 - 1/2 BA - 1/2 DC
BED = 180 - 1/2 * 66 - 1/2 * 34
BED = 180 - 33 - 17
BED = 130
(E) Angle PCA = 33
PCA is half BA
PCA = 1/2 BA
PCA = 1/2 * 66
PCA = 33
(F) Angle PAD = 73
PAD is half ABD, which is BA plus BD.
PAD = 1/2 (BA + BD)
PAD = 1/2 (66 + 80)
PAD = 1/2 * 146
PAD = 73
The answer to this question is 2x^3
