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2 years ago

Write as an algebraic expression and then simplify the number that is x more than 2x+1

Mathematics

1 answer:

Temka [501]2 years ago

8 0

The algebraic expression is x > 2x + 1 and simplification form of the algebric expression is x < -1

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

The number that is x more than 2x+1

x is the number.

x > 2x + 1

After simplification:

2x - x < -1

x < -1

x ∈ (-∞, -1)

Thus, the algebraic expression is x > 2x + 1 and simplification form of the algebric expression is x < -1

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

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Find domain of the rational function<br><br> C(x)=-x-5/x^2-25

iren2701 [21]

$\large\begin{array}{l} \textsf{Find the domais of the rational function:}\\\\ \mathsf{C(x)=\dfrac{x-5}{x^2-25}}\\\\\\ \textsf{Denominators can't be zero:}\\\\ \mathsf{x^2-25\ne 0}\\\\ \mathsf{x^2\ne 25}\\\\ \begin{array}{rcl} \boxed{\begin{array}{rcl}\mathsf{x\ne -5}&~\textsf{ and }~&\mathsf{x\ne 5}\end{array}} \end{array} \end{array}$

$\large\begin{array}{l} \textsf{So the domain of C is}\\\\ \mathsf{D_C=\{x\in\mathbb{R}:~~x\ne -5~~and~~x\ne 5\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_C=\mathbb{R}\setminus\{-5,\,5\}}\\\\\\ \textsf{or in interval notation}\\\\ \mathsf{D_C=\left]-\infty,\,-5\right[\,\cup\,\left]-5,\,5\right[\,\cup\,\left]5,\,+\infty\right[\,.} \end{array}$

$\large\textsf{So pick up the one you prefer. They're equivalent ways}\\\textsf{to represent the domain.}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2184171

$\large\textsf{I hope this helps. :-)}$

Tags: domain rational function fraction denominator restriction algebra

4 0

3 years ago

Which of the following expressions represents the GCF of 91x 2 y and 104xy 3?

zlopas [31]

The greatest common factor is found by finding the product of common primes.

91=7*13, 104=2*2*2*13 so the gcf of 91 and 104 is 13. Since the highest power of x and y in both terms is 1, the hcf for the variables is just xy

13xy

6 0

3 years ago

Read 2 more answers

Autumn is working two summer jobs making $16 per hour tutoring and making $12 per hour landscaping.In a giving week she can work

Darya [45]

Answer:

{13,14}

Step-by-step explanation:

Let

x ----> number of hours per week of tutoring

y ----> number of hours per week of landscaping

we know that

She can work no more than 17 hours

$x+y\leq 17$ -----> inequality A

She must earn at lest $240

The term " at least" means, "greater than or equal to"

$16x+12y\geq 240$ ----> inequality B

If Autumn worked 3 hours landscaping

then

$y=3\ hours$

substitute in the inequality A and in the inequality B

<em>Inequality A</em>

$x+3\leq 17\\x \leq 17-3\\x\leq 14\ hours$

Inequality B

$16x+12(3)\geq 240\\16x\geq 240-36\\x\geq 12.75\ hours$

The solution of the system is the interval {12.75,14]

All possible values for the number of whole hours tutoring that she must work to meet her requirements are

{13,14}

8 0

3 years ago

Can someone help me with this<br> 2x+4y+3z=6<br> x-2y+z=-5<br> -x-3y-2z=-7<br> solve for x,y,z

Flauer [41]

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6 ..... 1

x-2y+z=-5 ...... 2

-x-3y-2z=-7 .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12 .....4

Multiply equation 2 by - 2:

-2x + 4y - 2z = 10

Add this to equation 1:

8y + z = 16 ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x = 18/3 - 16/3 - 48/3 = -46/3

x = 23/3 = 7 2/3.

3 0

3 years ago

What is the ratio from 18 to 16

Irina18 [472]

Answer: 8:9

Step-by-step explanation: Two find this answer, you need to see what will be the greatest number they can divide by (greatest common divider), it needs to be the same number for both 18 and 16. What number can go into both numbers, and is the greatest number? The answer is two, now you divide 2 by 18 and 16, so you'll get 8:9.

Hope this helps have a BLESSED and wonderful day! :-)

-Cutiepatutie

4 0

3 years ago