A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
2
large boxes and
3
small boxes has a total weight of
83
kilograms. A delivery of
4
large boxes and
8
small boxes has a total weight of
197
The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>
From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
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Given:
Consider the dimensions of a rectangular prism are 4 in by 3 in by 10 in.
To find:
The length of the diagonal.
Solution:
Length of diagonal of a rectangular prism is:

Where l is length, b is breadth and h is height.
The dimensions of a rectangular prism are 4 in by 3 in by 10 in. So, the length of diagonal of the rectangular prism is:




Approximate the value to the nearest tenth.

Therefore, the length of diagonal of the rectangular prism is 11.2 in.
Answer:
y-intercept: (0, -1.2)
Step-by-step explanation:
I suppose you mean to have the entire numerator under the square root?

We can use a trigonometric substitution to start:

Then for
,
; for
,
. So the integral is equivalent to

We can write

so the integral becomes
