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ikadub [295]
3 years ago
8

four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Mathematics
1 answer:
Orlov [11]3 years ago
7 0
The solution to the problem about the possible values of x in the inequality is as follows:

4(x+15) >= 120 
x+15 >= 30 
<span>x >= 15

Therefore, there are </span><span>x >= 15 possibilities in the inequality.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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garrett wants to build an addition to his living room. the room currently has a length of 13 feet and width of 10 feet. if he cr
marta [7]

Answer: 1,170ft^2

Step-by-step explanation:

We know that the area of the living room can be calculated with the formula for find the area of a rectangle. This formula is:

A_1=l_1*w_1

Where:

l_1 is the lenght  of the original living room, and  w_1 is the width of the original living room.

If he creates the addition that causes the dimensions to triple, then the new area of Garrett’s living room is:

A_2=(3l_1)(3w_1)\\A_2=(3*13ft)(3*10ft)\\A_2=1,170ft^2

4 0
3 years ago
2.5_2.05 answer plz help
mezya [45]
Your answer is 0.45 I think
7 0
3 years ago
Read 2 more answers
Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.
timama [110]

Answer:

hahahhaa thanks

Step-by-step explanation:

ahahahhahahad

5 0
2 years ago
Find the two odd integers which when squared and added together make the number 1994
Nostrana [21]
X^2 = 1994

x= + - sqrt (1994) 

Unfortunately, there is no integer that can suit x.
3 0
2 years ago
A)Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity
Colt1911 [192]

Answer:

a) The sequence converges to 0

b) The lenght of the curve is \frac{1}{54}(217^{3/2}-37^{3/2})

Step-by-step explanation:

Consider the sequence a_n = \frac{-6n^6 + \sin^2(7n)}{n^7+11}

a) We will prove it using the sandwich lemma. Note that for all n -1\leq \sin^2(7n)\leq 1, then

\frac{-6n^6 -1}{n^7+11}\leq\frac{-6n^6 + \sin^2(7n)}{n^7+11}\leq \frac{-6n^6 + 1}{n^7+11}

Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that

0 \leq\frac{-6n^6 + \sin^2(7n)}{n^7+11} \leq 0

So, the sequence converges to 0.

b) The function f(x) = 4x^{3/2}+7 the formula of curve lenght is given by

s = \int_a^b \sqrt[]{1+(f'(x))^2}dx

in this case, a=1, b=6

Note that f'(x) =6x^{{1/2}. Then

s=\int_1^6 \sqrt[]{1+36x}dx. Take u  = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,

s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})

8 0
3 years ago
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