MATHEMATICS HIGH SCHOOL

Find the slope and y-intercept of the line
6x + 2y = –88

Answers

Answer 1
Answer: y=mx+b
6x+2y=-88
2y=-88-6x
y=-44-3x
y=-3x-44
m is the slope
b is the y-intercept

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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Given:
Year 0 = 2005 = 90,000
Year 1 = 2006 = 91,200

(91,200 - 90,000)/90,000 = 1,200/90,000 = 0.013 

f(x) = 90(1.013)x
f(1) = 90(1.013)1 
f(1) = 91.170

The second option, f(x) = 90(1.013)x, is the best representation of the relationship between x and f(x).
Increasing Factor: 91200/90000 = 1.013

Each year, after 2005, the salary is the previous salary times 1.013

Then in 2006, when x = 1, salary = 90 * (1.013)
In 2007, when x = 2, salary = 90*(1.013)*(1.013) = 90(1.013)^2

After x years, salary = 90(1.013)^x

What is the value of d

Answers

Answer: 32

Step-by-step explanation: Complementary angles, which means two angles that sum to 90. 90 minus 58 = 32, missing angle is 32.

Please solve the equation
X^2+3x+3=0

Answers

x² + 3x + 3 = 0

I can tell by looking that there's no easy way to factor the left side,
so we'll have to use the Quadratic formula.

Before doing that, let's just take a look at the discriminant:

( B² - 4AC ) = (9) - (4 x 3 x 1) = (9 - 12) = -3 .
The discriminant is negative, so we know that the roots will be complex conjugates.

Again:  x² + 3x + 3 = 0

x = (1/2) [ -3 plus or minus the square root of (-3) ]

x = -3/2 + (1/2) j√3
and
x = - 3/2 - (1/2) j√3

5. The recent electric bills for the Cox family were as follows: September, 87.55; October, 97.34; November, $100.44; and December, $156.88. What's their average monthly electric bill cost?​

Answers

Answer:

$110.55.

Step-by-step explanation:

To find the average monthly electric bill cost for the Cox family, you need to add up the costs for each month and then divide the sum by the number of months.

Here are the steps:

1. Add up the costs for each month:

- September: $87.55

- October: $97.34

- November: $100.44

- December: $156.88

The sum of these costs is $87.55 + $97.34 + $100.44 + $156.88 = $442.21.

2. Determine the number of months. In this case, there are 4 months.

3. Divide the total cost by the number of months to find the average:

Average monthly electric bill cost = $442.21 ÷ 4 = $110.55.

Therefore, the Cox family's average monthly electric bill cost is $110.55.

Answer:

Their average monthly electric bill is at 110,55

Step-by-step explanation:

To get the awnser you have to add all the numbers together, then you have to devide the number yoy got with how many number there are.

Lucy correctly answered 70% of the questions on her science homework. She counted 14 correct answers. How many questions are there on her homework?

Answers

Answer:

9.8

Step-by-step explanation:

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the length of the radius?

Answers

The center of the circle is: (-4 ; -11) and the radius of the circle is r = 10

What is equation of circle?

The general equation for a circle is (x-a)² + (y-b)² = r², where ( a, b ) is the center and r is the radius.

Given:

x² + y² + 8x + 22y + 37 = 0.

Now, to find both coordinates and radius write the given equation in standard form:

(x-a)² + (y-b)² = r²

x² + 8x +  y²+ 22y= -37

( x² + 2* x*4 + 4²)+(  y² + 2*y* 11 + 11²) = -37 + 16 + 121

(x + 4)² + ( y+ 11)² = 100

(x + 4)² + ( y+ 11)² = 10²

So, center of the circle is: (-4 ; -11)

and the radius of the circle is r = 10

Learn more about this concept here;

brainly.com/question/16505663

#SPJ2
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0
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