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lorasvet [3.4K]
3 years ago
14

Solve the system of equations shown below?

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0
(6,4) x=4 and y=6. hope this helps
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There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 people
nataly862011 [7]

Answer:

Approximately 6 buses

Step-by-step explanation:

If you are wanting know how many vans they are going to need:

26 + 32                    -This helps you know how many total kids there are

= 58

58 / 10                      -This solves how many buses you'll need

= 5.8                   - Round up, and say you need 6 buses.


4 0
3 years ago
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches gre
aliina [53]

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

<h3>How to find the volume of a rectangular prism?</h3>

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

learn more on volume here: brainly.com/question/2005063

#SPJ1

7 0
2 years ago
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
3 years ago
Read 2 more answers
Please help! thanks so much​
Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that \lim_{x \to 2}  (f(x))= -1.

Thus, for the question, we can just plug -1 in:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  =und.

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, f(x) will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  = +\infty

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

4 0
3 years ago
What integers are plotted on the number line below?
Nonamiya [84]

The correct answer would be D because if there are points at -8 and -2, those are the numbers that are plotted.

4 0
4 years ago
Read 2 more answers
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