The parent function y = cos(x) follows this same basic pattern of the curve shown, but it starts off at (0,1) as its highest point. This graph has its highest point to be half as high, so we multiply by 1/2 or 0.5

3 0

3 years ago

Read 2 more answers

5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat

Naddik [55]

Answer:

Electricity bill is 175

Step-by-step explanation:

Given

$Rent = 1800$

$Gas = 150$

$Each\ Roommate = 425$ monthly

$Number\ of\ Roommate = 5$

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

$Total = 5 * 425$

$Total = 2125$

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

$Gas + Rent + Electricity = 2125$

$150 + 1800+ Electricity = 2125$

$1950+ Electricity = 2125$

$Electricity = 2125 - 1950$

$Electricity = 175$

Hence, the electricity bill is 175

4 0

3 years ago

Can someone help me with this problem please

salantis [7]

Domain: f (x) is the set of all values for which the function is defined
range: the set of all values that f takes
hope this helps

4 0

3 years ago

Read 2 more answers

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

inn [45]

Answer:

The equation of the straight line in point - slope form

y +1 = -2 ( x-2)

Step-by-step explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2$

m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)

3 0

3 years ago