All categories

3 years ago

How many solutions does the equation 3(2.4x + 4) = 4.1x + 7 + 3.1x have? Explain.

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

Answer: there are no solutions

Step-by-step explanation:

You might be interested in

Help with 5b please . thank you.

Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0

2 years ago

6 + 12 = 25 -<br> Which value makes the number sentence true?<br> A. 6<br> B. 7<br> C. 12<br> D. 18

max2010maxim [7]

Answer:

Step-by-step explanation:

6+12=18

25-7=18

7 makes the sentance true.

4 0

2 years ago

David is 4 times older than Adan. Adan is 2 times older than julio. Julio is 12, how old is David?

dem82 [27]

12 x 2 = 24 (Julio), 24 x 4 = 96 (David).

3 0

3 years ago

Read 2 more answers

Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.

vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$ .

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. $\left(-\frac{13}{4}, \frac{5}{2}\right)$

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0

2 years ago

PLZ ANSWER THIS<br> thanksssss

just olya [345]

Answer:

It should be C) 11+ 3 5/8

Step-by-step explanation:

5 0

2 years ago