All categories

2 years ago

Can someone solve and explain how to do these absolute equations for 40 points? I'll give brainliest to the best correct answer.

Mathematics

1 answer:

irga5000 [103]2 years ago

4 0

Answer:

Explanation Below

Step-by-step explanation:

1. -4 + | x - 1 | = 3

= -4 + | x - 1 | + 4 = 3 + 4

= | x - 1 | = 7

= x - 1 = -7 or x - 1 = 7

= x = -6 or x = 8

2. 6 + 4 | 2x + 6| = 14

= 6 + 4 | 2x + 6 | - 6 = 14 - 6

= 4 | 2x + 6 | = 8

= 4 | 2x + 6 | / 4 = 8/4

= 2x + 6 = -2 or 2x + 6 = 2

= x = -4 or x = -2

3. -10 + | -6 - x | = 1

= -10 + | -6 + x | + 10 = 1 + 10

= | -6 - x | = 11

= -6 - x = -11 or -6 - x = 11

= x = -17 or x = 5

4. | 7 - 2x | + 4 = 5

= | 7 - 2x | + 4 - 4 = 5 - 4

= | 7 - 2x | = 1

= 7 - 2x = -1 or 7 - 2x = 1

= x = 3 or x = 4

Here are the Steps:

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Hopes this Helps :D

Mark me Brainliest : )

You might be interested in

The measure of angle n is 42º. what is the measure of angle k? parallelogram k l m n where k n is parallel to l m and k l is par

Kipish [7]

Becouse k and n are 'neighbours' so their sum are 180
so k=180-42=138

7 0

3 years ago

PLS HELP ALGEBRA 2 QUESTION ASAP 5 STARS AND BRAINLIEST what type of polynomial is <img src="https://tex.z-dn.net/?f=-5x%5E%7B4%

devlian [24]

Answer:

Binomial

Step-by-step explanation:

Edited to add:

It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.

You can name a polynomial based on terms, or based on degrees.

If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.

The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.

You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.

All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.

3 0

3 years ago

Read 2 more answers

What is the probability of rolling a sum of 11 on a standard pair of six-sided dice? express your answer as a fraction or a deci

FromTheMoon [43]

I think it would have to be 5 and 6 because those two make up 11 when you add them. hope this helps

8 0

4 years ago

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabili

ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

Mean, $\mu$ = n $\times$ p

= 36 $\times$ 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

Standard deviation, $\sigma$ = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{36 \times 0.75 \times (1-0.75)}$

= $\sqrt{6.75}$ = 2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

$\mu - 2 \sigma$ = 27 - (2 $\times$ 2.6)

= 27 - 5.2 = 21.8

$\mu + 2 \sigma$ = 27 + (2 $\times$ 2.6)

= 27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

5 0

3 years ago

The slope of the line below is 2. Which of the following is the the point-slope form of the line?

Jobisdone [24]

Answer: y + 1 = 2 (x -1)

Step-by-step explanation:

Point slope form is:

y - y1 = m (x - x1)

Point on the line is (1, -1) and slope is 2

m = 2

y1 = -1

x1 = 1

y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)

5 0

3 years ago