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3 years ago

If you were to use the substitution method to solve the following system, choose the new

Mathematics

1 answer:

mestny [16]3 years ago

5 0

Answer:

23x = -115

Step-by-step explanation:

In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:

2x - 7y = 4

3x + y = -17

Solving for y in the second equation:

y = -17 - 3x

Replacing y in the first equation:

2x - 7(-17 - 3x) = 4

2x + 119 + 21x = 4

23x = -115

This is the new equation after use the substitution method.

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What is the mechanical advantage of the screw shown below?

algol13

Answer:

C. 8.0

Step-by-step explanation:

The mechanical advantage is got from dividing the circumference of the shaft by the pitch of the screw.

Therefore, the circumference= 2πr

=2×π×2.3mm

=14.45mm

Mechanical advantage=14.45mm/1.8mm

=8.03

7 0

3 years ago

Solve (x - 5)2 = 3.<br> A. x = 5 + 1/3<br> B. X=-5313<br> C. x = 8 and x = -2<br> D. X = 3 + -15

Luden [163]

Answer:

none of the above, x=13/2

Step-by-step explanation:

(x-5)2= 3

2x_10=3

2x=13

x=13/2

5 0

3 years ago

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

N76 [4]

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

$x-7>1\\\\x-7+7>1+7\\\\x>8$

and we have

$x-7$

to graph it it goes from (-∞,6)∪(8,∞)

8 0

3 years ago

The temperature is 45F. The temperature will decrease by 2F each hour.

AveGali [126]

Answer:

Step-by-step explanation:

8 0

3 years ago

The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a

faust18 [17]

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes

$V = \pi (x+8)^2(2x+3)$

If you want, you can simplify it by expanding the square and then multiply the two parenthesis:

$V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)$

6 0

2 years ago