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3 years ago

Write the inequality that goes with the graph that has an open

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

x is greater than or equal to 7

Step-by-step explanation:

(line under alligator)

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The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the

Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

a +b +c = 26
2a -b = c -2
-3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0

3 years ago

Nate paid $13.25 for a shirt. This amount includes a sales tax of 6%. What was the cost of the shirt before tax?

kolbaska11 [484]

12.45
I hope
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7 0

3 years ago

Read 2 more answers

Write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi

IRISSAK [1]

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

3 0

3 years ago

A larger number is five more than twice the smaller number their sum is 80 find the number

Oksana_A [137]

Answer:

L= 5+2s

Step-by-step explanation:

Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

5 + 2S + S = 80

L = 5 + 2S

3 0

4 years ago

To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the win

Andre45 [30]

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

$a^{2} +b^{2} =c^{2}$

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

$a^{2} +4^{2} =5^{2}$

Simplify it

$a^{2} +16=25$

Subtract both sides 16

$a^{2} =9$

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

5 0

3 years ago