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topjm [15]
3 years ago
10

A pizza shop charged $49.57 for 3 large pepperoni pizza's. The price included a $2.50 delivery fee

Mathematics
1 answer:
serg [7]3 years ago
7 0
49.57=3x+2.50

subtract 2.50 from both sides

47.07=3x
divide

15.69=x

One pizza cost 15.69
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Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th
HACTEHA [7]

Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

Step-by-step explanation:

Given surface function is,

f(x,y)=6-\frac{6}{5}(x-y)

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}

f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

4 0
3 years ago
8. Lesly took a test with 30 questions. The ratio of correct answers to incorrect answers
Firlakuza [10]

Lesly got 14 answers correctly.

  • Let the correct answers be C.
  • Let the incorrect answers be I.

<u>Given the following data:</u>

  • Total number of questions = 30 questions.
  • Ratio of C to I = 7 : 8
  • C to I = 7 + 8 = 15

To find the number of answers she got correctly;

C = \frac{7}{15} × 30

C = 7 × 2

<em>Correct answers, C </em><em>= </em><em>14 answers</em>

Therefore, Lesly got 14 answers correctly.

Read more: brainly.com/question/24613908

4 0
2 years ago
Marisol is making a rectangular wooden frame. she wants the length of the frame to be no more than 12 inches. she has less than
Blababa [14]
B is your answer
The perimeter of a rectangle is2l + 2wThis has to be less than 30 because she has less than 30 inches of wood altogether.
4 0
3 years ago
Find it!!!!!!!!!!!!!!​
geniusboy [140]

Answer:

(0,0)

Step-by-step explanation:

If the line is crossing the origin then that means both the x and y intercepts are (0,0)

4 0
2 years ago
Read 2 more answers
PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.
Sloan [31]

Answer:

Correct answer:  (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0)  the coordinates of the center of the circle

(10, 21/2)  circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²  where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r²  ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

God is with you!!!

6 0
3 years ago
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