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AfilCa [17]
3 years ago
5

What is the answer for - 2x + 3 > 15

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

X < -6

Step-by-step explanation:

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If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes
anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

( { - k)}^{2}  - 4(30) = 169

{  k}^{2}  -120= 169

k^{2} = 289

k=  \pm \sqrt{289}

k=  \pm17

We substitute the values of k into the equation and solve for x.

f(x) = {x}^{2}   \pm17x + 30

f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

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Explain why it is preferable to perform a model utility test before using an estimated regression model to make predictions or t
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Answer:

The answer is explained below

Step-by-step explanation:

The reason for making the regression is generally to make predictions. So one should ask in what situations is the resulting estimated regression line y = b0 + b1 * x useful. In other words, since there is a linear relationship between x and y, in what situations would it be valid to say that the knowledge of the value x is not useful to predict a corresponding y.

When the value of B1 (or, equivalently, of p) is zero. However, it is entirely possible that B1 is 0 while b1 (our estimate for) is not zero due to random fluctuations between samples. Therefore, we require an inference procedure.

One of the inference procedures is that the model utility test is used to determine if there is any useful relationship between the dependent variable and the specified values of the independent variables.

So before using an estimated regression model, we run a utility test of the model

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True OR False. For Multi-Step Equations: Combine Like Terms first, then Distribute.​
arsen [322]

Answer:

True

Step-by-step explanation:

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according to the Food and Drug Administration, the recommended daily intake of iron is 18 mg. This is 4 less than twice the reco
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Write an equivalent expression.<br> 7.) 27x- 5y + 5x
abruzzese [7]

Answer:

<em>32x - 5y </em>

Step-by-step explanation:

27x - 5y + 5x = <em>32x - 5y</em>

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