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3 years ago

Y=-4-x; domain = {-6, 2,7}

Mathematics

1 answer:

zmey [24]3 years ago

6 0

We have to put values of domain to find range

$\\ \ast\sf\longmapsto y=-4-x$

$\\ \ast\sf\longmapsto D_R=[-6,2,7]$

$\\ \ast\sf\longmapsto y=-4-(-6)=-4+6=2$

$\\ \ast\sf\longmapsto y=-4-2=-6$

$\\ \ast\sf\longmapsto y=-4-7=-11$

Now

$\\ \ast\sf\longmapsto R_R=[2,-6,-11]$

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Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the

kirill [66]

Answer:

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x, = 75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0

3 years ago

Use the sum and difference identities to find the exact values of the sine, cosine, and tangent of the angle. . 165 = 135 + 30

Serhud [2]

So lets get to the problem

165°= 135° +30° 

To make it easier I'm going to write the same thing like this 
165°= 90° + 45°+30° 

Sin165° 
= Sin ( 90° + 45°+30° ) 
= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ 
= Cos45°Cos30° - Sin45°Sin30° 

Cos165° 
= Cos ( 90° + 45°+30° ) 
= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ 
= Sin45°Cos30° + Cos45°Sin30° 

Tan165° 
= Tan ( 90° + 45°+30° ) 
= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ 
= -1/tan(45°+30°) 
= -[1-tan45°.Tan30°]/[tan45°+Tan30°] 

Substitute the above values with the following... These should be memorized 
Sin 30° = 1/2 
Cos 30° =[Sqrt(3)]/2 
Tan 30° = 1/[Sqrt(3)] 
Sin45°=Cos45°=1/[Sqrt(2)] 
Tan 45° = 1

4 0

4 years ago

Cherries are on sale for $16 for 4 pounds. Jordyn pays $88.00 for cherries to make a cobbler. How many pounds of cherries doses

Tamiku [17]

She bought 5.5 pounds of cherries

explanation-
88 divided by 16 would be 5.5

7 0

3 years ago

What is the first geometric sequence below

ale4655 [162]

Notice that if you go forward, the common ratio is 5. Each new term is found by mult. the previous term by 5.

If, on the other hand, you go backwards (terms decreasing), then you divide a term to find what the previous term was.

Here, divide 1 by 5 to find the first term. It's 1/5.

5 0

3 years ago

Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 51^\circ=\frac{19}{x}$

Solving for x:

$\displaystyle x=\frac{19}{\cos 51^\circ}$

$\displaystyle x=\frac{19}{0.6293}$

x = 30.2 units

3 0

3 years ago