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Ymorist [56]
3 years ago
10

-11.5 -9.5 How do they compare select the symbol. < = >

Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer:

The symbol is <, because -11.5 < -9.5

Step-by-step explanation:

The number line is arranged from smallest to greatest numbers, and when you read the numbers you start from left to right, so the numbers in the left are smaller than the number in the right

In the set of the negative numbers, the greatest value is the smallest number

Examples

-1 is greater than -2  because -2 lies before -1 on the number line

∵ The numbers are -11.5 and -9.5

∵ The number -11.5 is before the number -9.5 on the number line

- That means -11.5 is smaller than -9.5

∴ -11.5 < - 9.5

∴ The symbol is <

<em>Look to the attached figure for more under stand</em>

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Pre-Calculus - Systems of Equations with 3 Variables please show work/steps
inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0
3 years ago
What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 1, and is al
Arisa [49]
Y=1/2x-2

To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
x=2

If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1

This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.

Putting this into point slope form, we get:
(y-(-1))=1/2(x-2)

Which can be simplified into slope intercept form:
y+1=1/2x-1
y=1/2x-1-1
y=1/2x-2
5 0
3 years ago
A sports club offers an organized basketball league. A team pays $600 to join their league. In addition to paying their share of
egoroff_w [7]

Answer:

5

Step-by-step explanation:

600-775=125

25x5=125

4 0
3 years ago
Read 2 more answers
Helpppppp asapppppopoo
wlad13 [49]
Answer: Choice A

Raising something to the 1/4th power is the same as applying the 4th root to that expression. Raising an expression to the 1/n power is the same as applying the nth root.

Rule:
x^{1/n} = \sqrt[n]{x}
(if the text is too small it basically says x to the (1/n) = square root with a small 'n' all over x)
4 0
3 years ago
If f(x) = 0.5(3 - x), what is the value of f(-3)<br> a. 3<br> b. 1.5<br> c. 0.5<br> d. 0
hoa [83]
Plug in -3 for x.
f(-3) = 0.5(3 - (-3))
f(-3) = .5(6)
f(-3) = 3
3 0
3 years ago
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