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3 years ago

I hate doing these plz help

Mathematics

1 answer:

frutty [35]3 years ago

5 0

X + 8 > 13

(A number) plus eight must be greater than 13.
Hmm well we know that 5 plus 8 is 13.
So any value larger than 5 added to 8 will give us more than 13, yes?

If you look at the set that you're given,
the values which will make the inequality true are 5.5, 6 and 6.5.

5.5 + 8 = 13.5 (This is greater than 13)
6 + 8 = 14 (Still greater than 13)
6.5 + 8 = 14.5 (Yay)

The solution requires than you solve for x.
x has 8 being ADDED to it.
We can undo this by SUBTRACTING 8 from each side.

x > 13 - 8
x > 5

This is the solution.

For the last part, notice that the inequality is STRICT.
It is NOT a "greater than or equal to".

"or equal to" would mean we could include the value 5 in our solution set. But since the inequality is strict, it excludes the value 5.

You might be interested in

Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar

AleksandrR [38]

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

$d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft$

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

8 0

3 years ago

X+ 2y=3 and x=5 in y=mx+b form

lesya692 [45]

I don’t know how to solve those type of problems sorry

6 0

2 years ago

If seven is added to four times a number, the result is twenty-five more than the number. Round your answer to the nearest integ

posledela

Answer:

Step-by-step explanation:

first, set up the equation

4x+7 = x+25

solve for x:

4x = x + 18

3x = 18

x = 6

have a wonderful day! :)

7 0

2 years ago

Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c

Musya8 [376]

Answer: $-13c+13d$

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the "Product" is the result of a multiplication.

2. The "Difference" is defined as the result of a subtraction.

3. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

Keeping the above on mind, you know that:

"The difference of $c$ and $d$ " can be represented with the following expression:

$c-d$

Therefore, "The product of -13 and the difference of $c$ and $d$ " can be represented with this expression:

$-13(c-d)$

Finally, you must apply the Distributive property in order to simplify the expression. You get:

$=-13c+13d$

7 0

3 years ago

1/(x+4)(x-2)(x-5) excluded values

UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

$\frac{1}{(x+4)(x-2)(x-5)}$

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0

2 years ago