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3 years ago

Complete the table using the equation y = 5x + 3. x -1 0 1 2 3 y -? ? ? ? ?

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

When x=-1, y=5(-1)+3=-5+3=-2

When x=0, y=5(0)+3=0+3=3

When x=1, y=5(1)+3=5+3=8

When x=2, y=5(2)+3=10+3=13

When x=3, y=5(3)+3=13+3=16

Therefore, this is the correct table:

x -1 0 1 2 3

y -2 3 8 3 16

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Consider the quadratic equation x squared = 4x - 5. how many solutions does the equation have?

snow_lady [41]

Answer:

The quadratic equation has two complex solutions

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}=4x-5$

Equate to cero

$x^{2}-4x+5=0$

$a=1\\b=-4\\c=5$

substitute in the formula

$x=\frac{4(+/-)\sqrt{-4^{2}-4(1)(5)}} {2(1)}$

$x=\frac{4(+/-)\sqrt{16-20}} {2}$

$x=\frac{4(+/-)\sqrt{-4}} {2}$

Remember that

$i^{2}=-1$

$x=\frac{4(+/-)2i} {2}$

$x=2(+/-)i$

therefore

The quadratic equation has two complex solutions

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3 years ago

If the volume of sand is increasing at a constant rate, is the height increasing at a constant rate? Explain.

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3 years ago

Will drawing an angle bisector always result in two acute angles?

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3 years ago

Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

mixer [17]

Answer: range= 26, variance= 80 and standard deviation= 8.94

Step-by-step explanation:

Range = highest - lowest

Range = 146 - 120

Range= 26

Let m be mean

M=mean=sum/n

Mean=(120+134+146+127+138+133) / 6

M=798/6

M=133

The standard deviation sample formula:

S.D = sqrt( Summation of |x-m|^2 / n-1)

Let start finding:

|x-m|^2

For 1st: |120-133|^2=169

For 2nd: |134-133|^2=1

For 3rd: |146-133|^2=169

For 4th: |127-133|^2=36

For 5th: |138-133|^2=25

For 6th: |133-133|^2=0

Summation of |x-m|^2 = 400

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(400 / 5)

S.D=sqrt(80)

S.D= 8.94

Variance = (Summation of |x-m|^2 / n-1)

Variance= 400/5

Variance= 80

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3 years ago

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Meter/ yard. Likely meter since that is high/college standard

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3 years ago

Complete the table using the equation y = 5x + 3. x -1 0 1 2 3 y -? ? ? ? ?​

Complete the table using the equation y = 5x + 3. x -1 0 1 2 3 y -? ? ? ? ?