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natima [27]
3 years ago
12

Find the center and the radius of the circle with the equation x^2-4x+y^2-12y+31=0

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
<h2>C: Center: (2, 6)</h2><h2>Radius: 3</h2>

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Help please, pic attached will be much appreciated
Leviafan [203]

Answer:

The company should make 0 jumbo and 300 regular biscuits.

The maximum income is $42.

Step-by-step explanation:

Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.

The oven can bake at most 300 biscuits.  So:

J + R ≤ 300

Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour.  There is 500 oz of flour available.  Therefore:

2J + R ≤ 500

Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14.  So the total income is:

I = 0.12J + 0.14R

Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:

desmos.com/calculator/aea00cmpwm

The region where the inequalities intersect has 4 corners:

(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)

Find the income at each point:

(0, 0): I = 0

(0, 300): I = 42

(250, 0): I = 30

(200, 100): I = 38

The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.

8 0
3 years ago
CHECK MY ANSWERS FOR ME?
marta [7]

Seems all good to me at least!

4 0
4 years ago
Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after
enot [183]

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

3 0
3 years ago
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24
riadik2000 [5.3K]
We use the Pythagorean theorem
x^2=7^2+24^2
x^2=49+576
x^2=625
x=sqrt(625)=25
5 0
3 years ago
Arrange the steps in the correct order to express cos3x in terms of cosx
ziro4ka [17]

The correct order to express cos3x in terms of cosx is; As shown in steps 1 to 9 below.

<h3>How to simplify Trigonometric Identities?</h3>

The steps to simplify the trigonometric identities cos 3x in terms of cos x are as follows;

Step 1; cos x = cos(2x + x)

Step 2; cos(2x) cosx - sin(2x) sinx

Step 3; 1 - 2sin^2x(cosx) -(2sinxcosx)sinx

Step 4; cosx - 2sin²x cosx - 2sin²x cosx

Step 5; cosx - 4sin²x cosx

Step 6; cosx( 1 - 4sin²x)

Step 7; cosx{1 - 4(1 - cos²x)}

Step 8; cosx{-3 + 4cos²x}

Step 9; 4cos³x - 3cosx

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

5 0
2 years ago
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