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kow [346]
3 years ago
10

What value of x is in the solution set of –5x – 15 > 10 + 20x?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0
-5x - 15 > 10 + 20x...subtract 10 from both sides, add 5x to both sides
-10 - 15 > 20x + 5x ...simplify
-25 > 25x...divide both sides by 25
-25/25 > x ....reduce
-1 > x or x < -1 <===

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All questions are in the photo :) (please no bot answers if it is answered its most likely a bot)
Verizon [17]

I AM A BOTTTT!!!!!!

7 0
3 years ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X \sim N (µ, σ²), then  Z=\frac{x-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

µ = $2,000

σ = $100

<em>x</em> = $2,100

Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1

Thus, the z-score for an income of $2,100 is 1.

4 0
3 years ago
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

g(x) = 7 + 0.x + 1.x²

h(x) = 7 - 1.x + 1.x²

Now,

The coefficient matrix becomes

A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

           = 7(1) - 1(0)

           = 7 - 0 = 7

⇒Det(A) = 7 ≠ 0

As the determinant is non- zero ,

So, The set of polynomial  is Linearly Independent.

5 0
2 years ago
18 shirts for 279.45 what is the unit rate of the shirts?
adelina 88 [10]
The answer is 15.525. All you have to do is divide 279.45 by 18 which gives you 15.525.
3 0
3 years ago
Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Sonja [21]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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