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user100 [1]
3 years ago
8

write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2

Mathematics
2 answers:
Contact [7]3 years ago
8 0

Answer::

2x2 + 6x − 20

Step-by-step explanation:

Ann [662]3 years ago
3 0

The area of the rectangle is 5x^{2} -18x-8

Explanation:

One side of the rectangle is x-4

The another side of the rectangle is 5x+2

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}

Thus, the area of the rectangle is 5x^{2} -18x-8

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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
qwelly [4]

Answer:

Step-by-step explanation:

Given that,

Cells are divided into two cell every 20mins, this implies that the half-life is 20mins

Initial population growth is 60cells

Growth rate r?

Population growth is modeled as

P(t) = Po•exp(rt)

Where,

Po is the initial growth at t= 0

Po= 60

P(t) is population at any time t.

Since the population doubles every 20mins(⅓hr)

Then, P(⅓) = 2×60 =120

Then, P(t) = 120cells

So, applying the formula

P(t) = Po•exp(rt)

120 = 60•exp(⅓r)

120/60 = exp(r/3)

2 = exp(r/3)

Take In of both sides

In(2) = r/3

Cross multiply

r = 3In(2)

r = 2.079 /hour

The growth rate is 2.079/hour.

7 0
3 years ago
Can somebody give me a Quick answer. First person gets Brainliest.
Evgen [1.6K]

Answer:D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
System OT<br> W + b =13<br> 6.5w + 2b = 57.5
mixer [17]

Answer:   w = 7,  x = 6

Step-by-step explanation:  Solve by substitution

W + b = 13

rewrite as   b = 13 - w  and substitute that value for b in the second equation

6.5w + 2b = 57.5  Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 .  Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5  Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

6 0
3 years ago
Match the key features of functions terms to their corresponding definitions.
kenny6666 [7]

The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

  • Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

  • End behaviour: This is what happens to the graph on the far left or far right. That is option E.

  • Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

  • Intercepts: This is the points where the graph crosses an axis. That is option B

  • Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

Learn more about graphs here:

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6 0
2 years ago
PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!
vladimir1956 [14]

Answer:

- 6 \sqrt{2}

Step-by-step explanation:

simplify

\sqrt{28800}

to

120 \sqrt{2}

then

-0.05 × 120 = -6

then we have our answer

-6√2

6 0
3 years ago
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