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3 years ago

Inductive and deductive reasoning differ in which way?

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer:

(D) Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

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What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

3 0

3 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago

The volume of the right triangular prism is 91.8ft. The height of the prism is 10.8ft. What is the area of each base? Show your

kaheart [24]

Answer:

8.5 ft.

Step-by-step explanation:

We'll use this right triangular prism volume formula: base area x height = volume

base area = ?

length = 10.8

volume = 91.8

base area x 10.8 = 91.8

Divide both sides by 10.8

base area x 10.8/10.8 = 91.8/10.8

base area = 8.5

4 0

3 years ago

Please Help. I will give brainlest to the person who answers this questions right

bija089 [108]

By my calculations and understanding into this problem I have figured out the answer to this thing and it is very simple and easy enough to actually say it so I can type it out instead because I can’t say anything on this thing even though I’m doing a voice record and I don’t even know how my grandma is doing right now so I’m just blah bling around is it random words of mine but honestly I would love to explain and tell you the answer but I do not know how to type it out so I’m just going to say it like I just said two seconds ago but I didn’t really say it again I just typed it I don’t know I keep getting confused with that but anyways the answer is very easy

3 0

3 years ago

Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).

Natali [406]

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

x=1

Hence the asymptote of the function y=1

5 0

3 years ago