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3 years ago

Solve by factoring and list only the positive solution: 2x2 - 5x = 88

1 answer:

8 0

It has to be noted that there are several ways to factor the item. One of these is shown below.

The general form of a quadratic equation is,
Ax² + Bx + C = 0

where A and B are numerical coefficients and C is the constant. If we are to express the given equation in this form,
2x² - 5x - 88 = 0

The sum of the roots, x₁ and x₂ is -B/A and the product is equal to C/A.

Sum: x₁ + x₂ = -(-5/2) = 5/2
Product: x₁x₂ = -88/2 = -44

The values of x₁ and x₂ are 8 and -11/2.

The factors are (x - 8) and (x + 11/2)

<em>ANSWERS: 8 and -11/2. </em>

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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

Anton [14]

Answer:

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size $n=23$

Population mean $\mu=9.02cm^3$

Sample mean $\=x=8.16$

Standard deviation $\sigma=0.7cm^3$

Significance level $\alpha =0.01$

Generally the Null and and alternative Hypothesis are as follows

$H_0:\mu=9.02cm^3$

$H_a:\mu$

Therefore t critical Value is

$t\ critical\ Value=(\alpha,df)$

$t\ critical\ Value=(0.01,22)$

Where

$df=n-1\\\\df=23-1=>22$

Therefore

From t Table

$t value=-2.8$

Generally the equation for Z Critical is mathematically given by

$t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }$

$t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }$

$t=-5.89$

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

4 0

3 years ago

The foreign language club has 42 members two out of every three members speak Spanish how many members speak Spanish

ki77a [65]

2/3 x 42 = 28
28 members speak Spanish.

8 0

3 years ago

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually

stellarik [79]

I would say D C and Maybe A

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3 years ago

Read 2 more answers

What is the equation for the line parallel to y=4x-14 that contains P(-2,-6)

Vlad [161]

slope of the line y=4x-14 is 4

since the lines are parallel,

slope of required line = 4

Now,

Equation of required line is given by

y-(-6) = 4 [x - (-2) ]

y+6 = 4 ( x +2)

y+6 = 4x + 8

y+ 6 - 4x - 8 = 0

y - 4x - 2 = 0

Hence, y - 4x - 2 = 0 is the equation of required line.

3 0

3 years ago

Consider a simple alphabet [a, b, c]. in lzw compression, assuming the dictionary gets prepopulated with that alphabet, how woul

Gwar [14]

For the display of the alphabet " BABA", we shall use encoding.= 1 0 1 0.

This is further explained below.

<h3>What is the alphabet?</h3>

Generally, An alphabet is a standardized collection of fundamental written symbols or graphemes that represent the phonemes of particular spoken languages. These phonemes are called phonemes.

In conclusion, in the LZW compression format, we have the alphabets [A, B, and C].

Therefore, with the assistance of bits 0 and 1, we are able to represent A as the value 0, and B as the value 1.

A = 0, B= 1

Therefore, in order to express BABA, we shall use encoding.= 1 0 1 0.