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3 years ago

Determine whether each relation is a function. Explain as well please.

Mathematics

1 answer:

trapecia [35]3 years ago

4 0

1) yes, because no x values repeats itself

2)no, because an x value repeats itself (7)

3)no, because an x value repeats itself (5)

1) yes, because no x value repeats itself

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Multiply. Check picture.

VashaNatasha [74]

The answer is $3x^4-13x^3-x^2-11x+6$ .

Solution:

Use algebraic identity: $a^m\times a^n=a^{m+n}$

For example: $x^2\times x=x^{2+1}=x^3$

Given expression $(x^2-5x+2)$ and $(3x^2+2x+3)$ .

To multiply these equations.

$(x^2-5x+2)\times(3x^2+2x+3)$

$=x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)$

$=(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)$

$=3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6$

Combine like terms together.

$=3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6$

$=3x^4-13x^3-x^2-11x+6$

$(x^2-5x+2)\times(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6$

Hence the answer is $3x^4-13x^3-x^2-11x+6$ .

3 0

3 years ago

Determine the zero solution<br> f(x)=3x^(2)+5x-12

RideAnS [48]

Answer:

x= -3 or 4/3

Step-by-step explanation:

3x²+5x-12 =0

3x²+9x-4x-12=0

3x(x+3) -4(x+3) =0

(3x-4)(x+3)=0

x=-3 or 4/3

6 0

3 years ago

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.711.7 fluid

dexar [7]

Answer: 0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean $\mu=11.7\text{ fluid ounces}$

Standard deviation : $\sigma=0.2\text{ days}$

z-score : $z=\dfrac{X-\mu}{\sigma}$

For X = 11.5

$z=\dfrac{11.5-11.7}{0.2}\approx-1$

For X = 11.6

$z=\dfrac{11.6-11.7}{0.2}\approx-0.5$

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

$P(11.5$

Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499

5 0

3 years ago

Solve for b.<br> ab +c=d

timama [110]

Answer: B = $\frac{-c}{a}$ + $\frac{d}{a}$

Step-by-step explanation:

you need to get B alone so that would be subtracting everything around it

ab = -c + d

then you need to get that a away from it by dividing both sides by A

B = $\frac{-c}{a}$ + $\frac{d}{a}$

6 0

3 years ago

Two angles form a linear pair. If the measure of one angle is 47, what is the degree measure of the other angle?

cupoosta [38]

Answer:

The other angle would be equal to 133 degrees.

Step-by-step explanation:

All linear pairs are supplementary angles, which means that they are equal to 180. So we can find the second angle by using the following angle.

47 + x = 180

x = 133

8 0

3 years ago