All categories

4 years ago

Using snythetic divison (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

Mathematics

2 answers:

mrs_skeptik [129]4 years ago

8 0

Simplify. (8+12+4+8x+8)÷(x+2)
Add. 24+8x+8÷2x
Combine like terms. 24+4x+8
Add. 32 4x
Divide Both Numbers by 4. 8
FINAL ANSWER: X=8

yawa3891 [41]4 years ago

8 0

Https://us-static.z-dn.net/files/d65/d836346db6668589966ac9ac9f7d315e.jpeg

You might be interested in

Choose the kind(s) of symmetry. (Select all that apply.) F point line plane none

hram777 [196]

the kind(s) of symmetry. (Select all that apply.) F point line plane none is given below

Step-by-step explanation:

The four main types of this symmetry are translation, rotation, reflection, and glide reflection.
There are three basic types of symmetry: reflection symmetry, rotational symmetry, and point symmetry.
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror like reflection of either side of the object. ... Symmetry is a key concept in geometry which cuts the figure into two halves that are exact reflections of each other, as shown in figure given below.
Symmetry is something that we observe in many places in our daily lives without even noticing it. It is easily noticeable in various arts, buildings, and monuments. Nature uses symmetry to make things beautiful. For example, consider the pictures of the butterfly and the leaf .
Use symmetry in a sentence. noun. Symmetry is an attribute where something is the same on both sides of an axis. An example of symmetry is a circle that is the same on both sides if you fold it along its diameter.

4 0

4 years ago

Read 2 more answers

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe

oksian1 [2.3K]

Answer:

Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar

Step-by-step explanation:

Given

Bonnie mixes 150 milliliters of soy sauce with 100 milliliters of vinegar

So, in order to find the amount of soy sauce mixed with one ml of vinegar, we have to divide the amount of soy sauce by vinegar.

So,

$Soy\ sauce\ mixed\ with\ 1\ ml\ of\ vinegar\ =\frac{150}{100}\\ = \frac{3}{2}\\=1.50$

Hence,

Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar

3 0

3 years ago

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

3 years ago

the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of

NeX [460]

Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)

8 0

3 years ago

Read 2 more answers

1/2 - 3/4 equals what

n200080 [17]

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

 $\frac{1 x 2}{2 x 2} - \frac{3}{4}$

3. Simplify. Denominators are now the same.

 $\frac{2}{4} - \frac{3}{4}$

4. Join the denominators

$\frac{2-3}{4}$

5. Simplify

 $-\frac{1}{4}$

Done! :) Decimal Form: -0.25

5 0

3 years ago