Find f(-2) if f(x) = x + x + 7. f(-2) =

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Using PEMDAS we would do the multiplication and division first and then the subtraction. So 4*5 = 20 and 8/2 is 4 so therefore 20-4 is 16.

Answer:

PEMDAS (Multiply and divide, then add and subtract)

Step-by-step explanation:

Multiply 4 and 5 to get 20-8/2

Divide 8 by 2 to get 20-4

subtract to get 16

Answer: 3

This is the simplified way

Answer:

x = 1/5

Step-by-step explanation:

2(5x + 7) = 16

2 * 5x + 2 * 7 = 16

10x + 14 = 16

10x = 16 - 14

10x = 2

x = 2/10

x = 1/5

Answer:

2730 ways

Step-by-step explanation:

Given that,

There are 15 eligible candidates for these positions.

The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.

It is a concept based on permutations.

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

Put n = 15 and r = 3

[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]

Hence, 2730 ways can the members of the cabinet be appointed

Answer:c

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.

Answer:

I believe this is the correct answer. e = 16

Answer:

yes 1/20 is correct

Step-by-step explanation:

The probability that the winning ticket will have the letter e on it would be P=5%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

For the probability of two independent events:

P(A and B) = P(A) P(B)

so we have to find the probability for each event to happen.

For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.

(Note that 1 is not a prime number.)

There are 5 vowels in the alphabet (a, e, i, o, and u).

Therefore the probability for the first letter to be e

P(A) = 1/5

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)

so the probability for the number to be a 5 is:

P(B) = 1/4

Now, the probability of getting a ticket that starts with an e and ends with a 5

P(A and B) = P(A) P(B)

= 1/4 x 1/5

= 1/20

Therefore, the probability is 5%.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ5

Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

50 x 2 is 100

40 x 2 is 80

5 x 2 is 10

80 +10 = 90

Answer:

The total change is [tex]\frac{1}{16\\}[/tex]

Step-by-step explanation:

Answer:

1  19/30

Step-by-step explanation:

Answer:

NEVERMIND (I thought 45/30, but i dont know)

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

as - 4-2/-8-(-8)

Is - 6/0

Answer:

4/9

or

0.4

Step-by-step explanation:

Answer:

oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Answer:

line X

Step-by-step explanation:

Answer:

88%

Step-by-step explanation:

25*4=100. this means we have to multiply 22*4, which gets us 88%

Answer:

0.88%

Step-by-step explanation:

25 divided by 22

Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Answer:

7:13

Step-by-step explanation: The ratio of mittens is 7 and the ratio of the total items (including the hats) would be 13, because 6+7=13. Therefore, the ratio of mittens to the total would be 7:13. Hope this helps ^-^.

Answer:

y = 1.5x

Step-by-step explanation:

An equation that represents a proportional relationship can be written as y = kx.

Where,

k = constant of proportionality or unit rate = y/x

Using a pair form the table of values, say (-2, -3),

k = y/x = -3/-2 = ³/2 = 1.5

Substitute k = 1.5 into y = mx

The equation that represents the table would be:

y = 1.5x

The proportionality constant is 2/3 and the required equation is y = 2/3x

The standard equation of a line is expressed as y = mx + b

where:

m is the slope of the line

b is the intercept

From the given question, we are to find the rate of change (slope) from the give  table.

USing the coordinate points from the table (-2, 0) and (-3, 0)

Also recall that;

y = kx

-2 = k(-3)

k = 2/3

Hence the proportionality constant is 2/3 and the required equation is y = 2/3x

Learn more on rate of change here: https://brainly.com/question/8728504

Answer: 88.89

Step-by-step explanation: You put the correct answers over the number of answers in total 32/36 then you divide: Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.

Multiply the numerator (top) of the fraction by the same number.

Answer:

90%

Step-by-step explanation:

First you have to find out what is the total amount of questions so 36+4=40

Anyway the answer is 90

Answer:4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Each pound is equal to 3 of the 1/3 pound patties

multiply 3 by 4 and you get 12.

Answer:

H(-2)=4

Step-by-step explanation:

H(x)=4(x+3)

Let x =-2

H(-2)=4(-2+3)

      =4(1)

     = 4

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4