Math really isn’t my best subject. help me

PLZZZ HELP ASAP TYSM I NEED THIS ASAP

uysha [10]

Explanation:

See answer for explanation.

Answer:

5x-3+2x=x+7+6x

Answer: There are no solutions.

I'm pretty sure this is correct, sorry if it's not.

Have a lovely evening!

3 0

2 years ago

Distance between -18 and -4

JulijaS [17]

Hey there! I'm happy to help!

To find the distance between two numbers, you simply subtract them!

-18--4

-18+4 (two negatives makes a positive)

-14.

Have a wonderful day! :D

4 0

3 years ago

Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)

elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between (-5,8) and (-3,1) is

$d=\sqrt{(-3-(-5))^2+(1-8)^2}$

$d=\sqrt{(-3+5)^2+(-7)^2}$

$d=\sqrt{(2)^2+(-7)^2}$

$d=\sqrt{4+49}$

$d=\sqrt{53}$

Therefore, the distance between two points (-5,8) and (-3,1) is $\sqrt{53}$ units.

3 0

2 years ago

Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.

nikdorinn [45]

Answer:

The equation does not have a real root in the interval $\rm [0,1]$

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if $f$ is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in $\rm [0,1]$ , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval $\rm [0,1]$ , which means to evaluate the equation in 0 and 1:

$f(x)=x^3-3x+8\\f(0)=8\\f(1)=6$

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval $\rm [0,1]$ . I attached a plot of the equation in the interval $\rm [-2,2]$ where you can clearly observe how the graph does not cross the x-axis in the interval.

6 0

2 years ago

The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 2

MariettaO [177]

The average daily balance after 20 days is; $1750

<h3>Average Balance</h3>

The initial balance after grace period is; $25,000

Afterwards, A payment of $5,000 each is made on the 10th and 20th day.

Hence, the total balance after 20 days is;

= $25,000 + $5000 + $5000

= $35,000.

The average daily balance is therefore the quotient of $35,000 and 20 days

The average daily balance = $35,000/20

Average daily balance = $1750