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satela [25.4K]
4 years ago
9

Tell whether the ordered pair is a solution of the given systems (2,5) y>2x y=>x+2

Mathematics
1 answer:
Montano1993 [528]4 years ago
7 0
It is, they're both equal
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I need some help and can you please show your work? Thank you have a good day
Colt1911 [192]

Answer:

Step-by-step explanation:(4+7)-(1)

4 0
3 years ago
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 2x + 1, [0, 2] Yes, it do
expeople1 [14]

Answer:

Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable

Step-by-step explanation:

We are given the Function

f(x) =3x^2 -2x +1

The two basic hypothesis of the mean valued theorem are

  • The function should be continuous in [0,2]
  • The function should be differentiable in (1,2)

upon checking the condition stated above on the given function

f(x) is continuous in the interval [0,2] as the functions is quadratic and we  can conclude that from its graph

also the f(x) is differentiable in (0,2)

f'(x) = 6x - 2

Now the function satisfies both the conditions

so applying MVT

6x-2 = f(2) - f(0) / 2-0

6x-2 = 9 - 1 /2

6x-2 = 4

6x=6

x=1

so this is the tangent line for this given function.

   

4 0
3 years ago
Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each us
madreJ [45]
I would just download music tbh
3 0
3 years ago
Approximate the real zeros to the nearest tenth: a.-1.6, 1.6 c.-2.6, 2.6 b.-2, 1 d .-1.6, 2.6 Please select the best answer from
Mariana [72]

Answer:

You didn't give the expression whose zero you want to find. From the options you wrote, the expression has two zeros, this means it is a quadratic expression.

I will however explain how to find the zero of a quadratic expression.

Step-by-step explanation:

An expression is called quadratic, if the highest degree of the variable is 2, no more, no less. It is of the form: ax² + bx + c, where a, b, and c are constants.

The zeros of a quadratic expression are the values that make the expression vanish, that is equal to zero.

Example: Find the zeros of 2x² - 6x + 4

First, equate the expression to zero

2x² - 6x + 4 = 0

Next, solve for x

2x² - 2x - 4x + 4 = 0

2x(x - 1) - 4(x - 1) = 0

(2x - 4)(x - 1) = 0

(2x - 4) = 0

Or

(x - 1) = 0

2x - 4 = 0

2x = 4

=> x = 4/2 = 2

Or

x - 1 = 0

x = 1

Therefore, the zeros of the polynomial are 1 and 2.

3 0
3 years ago
Read 2 more answers
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
Elis [28]

Answer:

84.13% probability a particular tire of this brand will last longer than 57,100 miles

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 60000, \sigma = 2900

What is the probability a particular tire of this brand will last longer than 57,100 miles

This is 1 subtracted by the pvalue of Z when X = 57100. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{57100 - 60000}{2900}

Z = -1

Z = -1 has a pvalue of 0.1587

1 - 0.1587 = 0.8413

84.13% probability a particular tire of this brand will last longer than 57,100 miles

7 0
3 years ago
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