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mestny [16]
3 years ago
12

How would you graph this correctly onto a graph?

Mathematics
1 answer:
saw5 [17]3 years ago
8 0

Answer:

Here is how you graph your equations correctly :D

Step-by-step explanation:

Graph y > x − 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: 1

y-intercept: (0, -2)

Graph a dashed line, then shade the area above the boundary line since y is greater than x − 2 .

y > x - 2

Graphy < −4x + 2.

Use the slope-intercept form to find the slope and y-intercept.

Slope: -4

y-intercept: (0, 2)

Graph a dashed line, then shade the area below the boundary line since y is less than − 4 x + 2 .

y < -4x + 2

Plot each graph on the same coordinate system.

y > x - 2

Y < -4x + 2

I hope this helps.

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
Find the Dot Product if u=8i-7j and v=3i-4j?
Feliz [49]

Answer:

52

Step-by-step explanation:

If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:

u.v=(a1,b1).(a2,b2)

a1b1+a2b2

 u.v=(8,-7).(3,−4)

(8)(3)+(-7)(−4)

24+28=52

4 0
3 years ago
What type of graph is best to use for making comparisons among data?
Svetach [21]
Answer: Bar graph :)
4 0
2 years ago
Suppose you have a mean standardized score of 1500 points with a standard deviation of 150 points. This data is normally distrib
Bond [772]

Answer:

z-score for 900 points = -4

Step-by-step explanation:

To find the z scores

z=(x-mean)/standard deviation

so

z=(900-1500)/150

z= -600/150

8 0
3 years ago
How do you turn a fraction to a decimal
Sindrei [870]
Divide the numerator by the denominator so for example if you had 1/2 you would divide 1 by 2 to get 0.5
7 0
3 years ago
Read 2 more answers
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