All categories

3 years ago

HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked!

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

x <= 1/4 (less than or equal to)

Step-by-step explanation:

In this equation, all you need to do is isolate the variable. To do this, you just move everything that isn't x to the right side. To get rid of the 4, divide both sides by 4. Your result will be x <= 1/4.

Note: Since we're dividing both sides by a positive number, we don't have to change the direction of the inequality. If you were to divide both sides by -1 you would have to reverse the inequality. Example:

x > 1 or 5 > 1

-x < -1 or -5 < -1

You might be interested in

Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

3 years ago

Parts of an algebraic expression separated by plus or minus signs are

goblinko [34]

Answer: called tthe term of an algebraic expression.

<h3 /><h3>Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).</h3><h3 /><h3>Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.</h3><h3>Terms of an algebraic expression:</h3><h3>Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.</h3>

Examples of algebraic expressions and their terms:

(i) x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii) 5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii) 3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

) 2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

3 0

3 years ago

How do you factor out the coefficient of 1/8x-49/8

vodka [1.7K]

Simplify 1/8x

x/8 - 49/8

6 0

3 years ago

The length of a rectangle is 4 more than twice the width. The perimeter is 74 feet. Find the length and width of the rectangle.

mafiozo [28]

(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
l=26

3 0

3 years ago

Can someone help me with this question please..

lord [1]

Answer:

(0,3)

Step-by-step explanation:

Find the point D and then read the value off of the x axis (horizontal) first and then the y axis (vertical).

3 0

3 years ago