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Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

7 0

Answer:

A.657 square inches B. 844 Square inches C. option B

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Solve the system of equations. (3x + 4y = 5) (2x - 3y = -8)

vovikov84 [41]

Answer:

the solution is (-1, 2)

Step-by-step explanation:

Let's solve the system

(3x + 4y = 5)

(2x - 3y = -8)

using the method of elimination by addition and subtraction. Notice that if we multiply all terms of the first equation by 3 and all terms of the second by 4, y as a variable will temporarily disappear:

9x + 12y = 15

8x - 12y = -32

-----------------------

17x = - 17, so x = -1.

Replacing x in the second equation by -1, we get:

2(-1) - 3y = -8, or

2 + 3y = 8,

or 3y = 6. Thus, y = 2, and the solution is (-1, 2).

5 0

2 years ago

Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

Leya [2.2K]

Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

(a) left sum

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

(b) right sum

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units