All categories

3 years ago

How do i solve this: |6y+2|=2|2y-1|

Mathematics

2 answers:

ziro4ka [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Group like terms 6y-2y= 2-1-2

When a number goes over the equal sign= positive + changes to negative, vice versa.

So final answer is 4y= -1= -4y

Because 4 is decided by -1

swat323 years ago

4 0

Answer:

y= -2, 0

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

You might be interested in

In the picture below, ABCD is a rectangle. If the area of triangle ABE is 40, what is the area of the triangle?

MariettaO [177]

Area of the rectangle: 112

Step-by-step explanation:

Picture is missing: find it in attachment.

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the length of the base

h is the height

For triangle ABE, we know that

A = 40 (area)

h = 8 (height)

So we can find the length of the base AE:

$AE=b=\frac{2A}{h}=\frac{2(40)}{8}=10$

Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:

$AD=AE+DE=10+4=14$

We also know the height of the rectangle AB is 8, and that the area of a rectangle is

$A=bh$

where b is the base and h the height. Therefore, the area of this rectangle is

$A=bh=(AD)(AB)=(14)(8)=112$

Learn more about area of figures:

brainly.com/question/4599754

brainly.com/question/3456442

brainly.com/question/6564657

#LearnwithBrainly

7 0

3 years ago

Ile to 12308+11093=??????pomóżcie

BARSIC [14]

Answer:

Twoja odpowiedź brzmi 23401.

Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.

4 0

3 years ago

Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equa

Sidana [21]

Answer:

$x \leq -7$

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

$15 \geq 22 + x$

Required

Select 3 options from the given list of options

$15 \geq 22 + x$

Subtract 22 from both sides

$15 - 22 \geq 22 - 22+ x$

$-7 \geq x$

Swap positions of the expression; Note that the inequality sign will change

$x \leq -7$

This means <em>x less-than-or-equal-to negative 7</em>

There are two options left to select;

The inequality sign in $x \leq -7$ implies that the graph has a close circle.

Inequality signs such as $\leq$ and $\geq$ signifies a close circle

There is only one option left to select;

Lastly;

Split the expression $x \leq -7$ into two

We have:

$x < -7$ or $x = -7$

Because $x = 7$ ,

Then, -7 is also a part of the solution

3 0

3 years ago

In order to help identify baby growth patterns that are unusual, we need to construct a confidence interval of the mean head cir

sukhopar [10]

Answer:

The 99% confidence interval estimate of the mean head circumference of all 2-month-old babies is (40.18cm, 41.02cm).

Step-by-step explanation:

Our sample size is 100.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 100-1 = 99$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-\alpha}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 99 and 0.005 in the t-distribution table, we have $T = 2.626$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{1.6}{\sqrt{100}} = 0.16$

Now, we multiply T and s

$M = Ts = 2.626*0.16 = 0.42$

For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is

$L = 40.6 - 0.42 = 40.18$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 40.6 + 0.42 = 41.02$ cm

The 99% confidence interval estimate of the mean head circumference of all 2-month-old babies is (40.18cm, 41.02cm).

3 0

3 years ago

Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, t

KonstantinChe [14]

Answer:

The answer would be C. or D.

Step-by-step explanation:

5 0

2 years ago