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2 years ago

If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

The equation would be 2x+3 so when you plug it in it's 2(-2)+3 which simplify to -4+3 which is -1

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The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?

djverab [1.8K]

Answer:

y=-7

Step-by-step explanation:

y-3=-2(x+5)

distribute the -2 into the ( )

y -3= -2x -10

cancel to -2x

y- 3 = -2(0) -10

y-3 = -10

+3 +3

y= -7

Hope this helps!!

8 0

2 years ago

Read 2 more answers

Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0

kodGreya [7K]

Answer: complex equations has n number of solutions, been n the equation degree. In this case:

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i11,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i101,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i191,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i281,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i78,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i168,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i258,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i348,75°}$

Step-by-step explanation:

I start with a variable substitution:

$Z^{4} = X$

Then:

$2X^{2}-2X+1=0$

Solving the quadratic equation:

$X_{1} =\frac{2+\sqrt{4-4*2*1} }{2*2} \\X_{2} =\frac{2-\sqrt{4-4*2*1} }{2*2}$

$X=\left \{ {{0,5+0,5i} \atop {0,5-0,5i}} \right.$

Replacing for the original variable:

$Z=\sqrt[4]{0,5+0,5i}$

or $Z=\sqrt[4]{0,5-0,5i}$

Remembering that complex numbers can be written as:

$Z=a+ib=|Z|e^{ic}$

Using this:

$Z=\left \{ {{{\frac{\sqrt{2}}{2} e^{i45°} } \atop {{\frac{\sqrt{2}}{2} e^{i-45°} }} \right.$

Solving for the modulus and the angle:

$Z=\left \{ {{\sqrt[4]{\frac{\sqrt{2}}{2} e^{i45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i45}} } \atop {\sqrt[4]{\frac{\sqrt{2}}{2} e^{i-45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i-45}} }} \right.$

The possible angle respond to:

$RAng_{12...n} =\frac{Ang +360*(i-1)}{n}$

Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"

In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

3 0

2 years ago

HELPPPPPPPPP! Please asap

Studentka2010 [4]

Answer:

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = 3x-1 +x²-6

(f+g)(x) = x² +3x -5 .....( answer : B )

3 0

2 years ago

What is (-5) to the -2 power simplified

yaroslaw [1]

Positive 25 that's the answer

6 0

2 years ago

Who ever answers first gets branliest :))

scoundrel [369]

The answer is 36.86

(I think)

7 0

1 year ago