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3 years ago

9

What is the value of the 2 in 5,678.321

1 answer:

STALIN [3.7K]3 years ago

7 0

.020 because it is 2 spots behind the decimal

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Use the graph to determine the function's domain and range. Explain your answer.

mixas84 [53]

The domain is defined as all the possible x values. The graph extends to the left and to the right without bounds so the domain is All Real Values of x.
It can also be written as (-∞, ∞) This is called interval notation.

Note that the minimum value of f(x) is -4 so the range is [-4, ∞). (All real values of y equal to or greater than -4)

3 0

3 years ago

Which of the following are solutions to the equation below?

sladkih [1.3K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

Step-by-step explanation:

considering the equation

$2x^2\:-\:4x\:-\:3\:=\:x$

solving

$2x^2\:-\:4x\:-\:3\:=\:x$

$2x^2-4x-3-x=x-x$

$2x^2-5x-3=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

solving

$x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5+\sqrt{49}}{2\cdot \:2}$

$x=\frac{5+7}{4}$

$x=3$

also solving

$x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5-\sqrt{49}}{4}$

$x=-\frac{2}{4}$

$x=-\frac{1}{2}$

Therefore,

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

7 0

3 years ago

Make an input-output table for the function g(x) =2x + 4. Use x-values of 1,2,3,4 and 5.

Masteriza [31]

ana is...

X g(x)

1 2(1)+4=6

2 2(2)+4=8

3 2(3)+4=10

4 2(4)+4=12

5 2(5)+4=14

7 0

3 years ago

Please help me with this! I will appreciate the help :)

dexar [7]

Answer:

D

Step-by-step explanation:

I'm pretty sure it's D

6 0

3 years ago

Which equation demonstrates the distributive property?

Oliga [24]

Answer: 3(n-2) =3n-6

Step-by-step explanation: There all separate groupings

7 0

3 years ago