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3 years ago

Which example below uses deductive reasoning?

1 answer:

8 0

Deductive reasoning is one that necessarily follows, not one that likely follows (this would be an inductive reasoning).

Here the important information is that all squares are also parallellograms, which means that they also necesarily have all the properties of the parallelogram - the correct answer is D.

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Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid $12.50 per hour. On Sundays, she babysits at the Smit

Elena L [17]

Answer: Saturday for 4 hrs = $50

Sunday for 4 hours = $58

Step-by-step explanation:

6 0

3 years ago

Round 120 to the nearest whole percent

Ahat [919]

Its 100 because its not rounded to the nearest whole like 200 because its less than 50 so it would round down

3 0

3 years ago

The graph of f(x) = 2x^2 + 20x + 48 is shown

Free_Kalibri [48]

Answer:

a) The equation in intercept form by factoring is (x+6)(x+4)

b) From the given graph x- intercepts are (-4,0) and (-6,0) and zeros (roots) of the function are -6 and -4.

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4.

Step-by-step explanation:

The given quadratic equation is $f(x)=2x^2+20x+48$

Put the function f(x) = 0 , then $f(x)=2x^2+20x+48=0$

a) The equation in intercept form by factoring is ,

Consider the given function,

$f(x)=2x^2+20x+48=0$

$\Rightarrow 2x^2+20x+48=0$

taking 2 common, we get,

$\Rightarrow 2(x^2+10x+24)=0$

$\Rightarrow x^2+10x+24=0$

The above is a quadratic equation of the form $ax^2+bx+c=0$

Solving quadratic equation using middle term splitting method,

$\Rightarrow x^2+6x+4x+24=0$

$\Rightarrow x(x+6)+4(x+6)=0$

$\Rightarrow (x+6)(x+4)=0$

Thus, The equation in intercept form by factoring is (x+6)(x+4).

b) From the given graph x- intercepts are (-4,0) and (-6,0) .

Zeroes / roots of a function are those points where the value of the function is zero.

Put f(x) = 0 as solved above

that is $(x+6)(x+4)=0$

$\Rightarrow (x+6)=0$ or $\Rightarrow (x+4)=0$

$\Rightarrow x=-6$ or $\Rightarrow x=-4$

Thus, zeros (roots) of the function are -6 and -4.

For checking put x = -6 and -4 in the function we get f(x) =0 .

c) The solutions of $2x^2+20x+48=0$ is $(x+6)(x+4)=0$ that is x= -6 and x = -4 as shown above.

8 0

3 years ago

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a lis

Nookie1986 [14]

Answer:

0.0001899

Step-by-step explanation:

Total number to be selected from= 22

The number to be chosen for the event in an ordered sample is 5 from 22 people= 22C5

Where 22 Is the total number of possibilities and 5 is the no of selection

22C5= 22!/(22-5)!5!

= 22!/17!5!

= 22*21*20*19*18*17!/17!*5!

22*21*20*19*18/5*4*3*2*1

=22*7*19*9

=26334

If there is exactly 5 young people in the population, the probability will be 5/22C5

=5/26334

=0.0001899.

6 0

3 years ago

2 × (3 – 1) + 3 simplify

mestny [16]

First you always do the Parenthesis.
So 2×2+3
Next you multiply.
So 2×2=4 + 3
Then you add.
So your answer will be 7.
Hope this helps!

7 0

3 years ago