Evaluate the expression

Jeremiah invested money into two different accounts at the same time. The system of inequalities represents the balance of each

olasank [31]

Answer:

1st statement is true.

2nd statement is false.

3rd statement is true.

Step-by-step explanation:

We have been given two inequalities and we are asked to find out whether the given statements are true or false.

$y\geq 1.2x+100$ represents balance of account A and $y\geq 1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah initially invested $100 in account A and $50 in account B. Therefore, 1st statement is true.

2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.

3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is 100+50=150 . Therefore, 3rd statement is true.

4 0

4 years ago

PLZ help now i need help n

vichka [17]

Answer:

7

Step-by-step explanation:

hey there,

< Here's how you do subtraction in fractions!

Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.

How did they go from $\frac{4}{5} x-\frac{1}{3} x$ to $\frac{?}{15} x$ ?

Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).

So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.

1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.

Now, let's put them together.

$\frac{12}{15}x-\frac{5}{15} x$

When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!

12-5 = 7, and the denominator stays the same.

The answer is $\frac{7}{15} x$ . So the numerator, or answer to your question, would be 7.

Hope this helped! Feel free to ask anything else.

5 0

3 years ago

Karl and Mark are walking through the woods dropping breadcrumbs to help them find their way home. After ten minutes, their brea

givi [52]

Answer:

-8

Step-by-step explanation

$\frac{96-120}{13-10} = -8$

5 0

3 years ago

Show your work for factoring or quadratic formula:

lutik1710 [3]

First, I'd simplify this problem by dividing every term by 2:

x^4 - 4x^3 + 5x^2 - 4x + 4 = 0

Then I'd think of the possible factors of that constant term, 4: They would be plus or minus 1, plus or minus 2, or plus or minus 4.

Let's try x = -4 as a possible root. Setting up and using synthetic division:

____________________
-4 / 1 -4 5 -4 4
-4 32
----------------------------
1 -8 37

This result is not helpful. So, try the possible root +4 instead:
________________
+4 / 1 -4 5 -4 4
   4 0 20 64
   ----------------------------
1 0 5 16 68 4 is not a root because the remainder
(68) is not zero.

Try x = 2:

________________
+2 / 1 -4 5 -4 4
   2 -4 2 -40
     ----------------------------
1 -2 1 -2 0

2 is a root because the remainder is zero.

Continue this process until you've found the other 3 roots.

Hint: Try the possible root x = -2 with the following coefficients:

____________
-2 / 1 -2 1 -2

---------------------

5 0

3 years ago

Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find t

Kazeer [188]

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

3 0

3 years ago