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PolarNik [594]
3 years ago
12

Simplify 14.2 + 6.5(p + 3q) – 4.05q

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

Step-by-step explanation:

14.2 + 6.5p+ 19.5q- 4.05q

6.5p + 15.45q + 14.2

earnstyle [38]3 years ago
7 0
The answer to your question is C.
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Answer:

Step-by-step explanation:

\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a}  \qquad  f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a}  \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}}  }{\dfrac{1}{2\sqrt{x}} }\\\\

\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}  =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\

7 0
3 years ago
15.2, 3,6,11,18, ...<br> Describe the pattern. Then write the next three numbers
Misha Larkins [42]

Answer:

27, 38, and 51

Step-by-step explanation:

3, 6, 11, 18, ...

We increase the first number by 3.  Then 5.  Then 7.

The pattern is that the difference increases by 2.

That means this is a quadratic sequence.

y = x² + 2, where x = 1, 2, 3, etc.

The next three numbers are 27, 38, and 51.

5 0
3 years ago
Holly had $5,000 in her bank account. She withdrew $800 to buy a new bike. What is the percent decrease in the balance of her ac
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1.6% should be your answer
6 0
4 years ago
Read 2 more answers
The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid as shown below what is the permitter of the s
Alona [7]
The perimeter is 2.5+ 2.5+2+3.5= 10.5 ft 

The area is equal 6. I used the equation A= a=b/2*h 

Hope this helped! Let me know if I can be of more assistance. <span />
3 0
3 years ago
MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of conc
Ivanshal [37]

THIS IS THE COMPLETE QUESTION BELOW;

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet

Answer:

OPTION D is correct

d)6feet

Step by step Explanation:

We were given The price of concrete as $98 per cubic yard

Price= $98 /yrd³

But 1 foot = 12 inches

1 yard = 3 feet

Square both side we have,

Then 1yrd³ = 27 ft³.

So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows

$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³

If we denote the width of the portion as "y"

then the volume of the rectangular portion of the driveway =

= (8 ft) (1/3 ft) x = 8y/3 ft³

But we're given The total cost of the concrete Matt needs as $58.07,

Total cost = $58.07 = (8y/3)(98/27)

y= 5.99957 ft= 6feet

Therefore, the width of the portion of the driveway is 6feet

6 0
3 years ago
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