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3 years ago

Consider the following piece-wise function.

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

4 0

The line is rising up to the left and it starts at -2,-2

If you were to continue the line to cross the y a is it would cross at (0,-3)

Find the slope

Slope = (-2 - -1) / (—2 - -4) = -1/2

It would be y= -1/2x-3 when x<-2

coldgirl [10]3 years ago

3 0

Answer:

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A car dealership pays $8,350 for a car. They Mark up the price by 17.4% to get the retail price. What is the retail price of the

olga55 [171]

A car dealership pays the sum of $8,350 for a car

The dealer mark up the car price by 17.4%

The retail price = Mark up percentage x original price of the car

Mark up = 17.4%

= 17.4 + 10

= 117.4%

Convert 117.4% to decimal

= 117.4/100

= 1.174

The retail price = $8, 350 x 1.174

= $9,802.90

The retail price of the car is $9,802.90

6 0

1 year ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0

3 years ago

Read 2 more answers

Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }

AleksAgata [21]

Answer:

{x | x < - 35 / 2}

Step-by-step explanation:

-4x / 7 > 10

Multiply both sides by 7

-4x /7 * 7 > 10 * 7

-4x > 70

Divide both sides by - 4

-4x / - 4 > 70 / - 4

x < - 35 / 2 (inequality sign changes)

3 0

2 years ago

X/3=-3 can someone help me

laiz [17]

Answer:

x = - 9

Step-by-step explanation:

Given

$\frac{x}{3}$ = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

7 0

3 years ago

Given f(x) = X-7 and g(x) = x^2 Find f(g(4))

Sergio [31]

Answer:

Step-by-step explanation:

g(4)=4^2 =16, so we need to find f(16).

f(16)=16-7=9

7 0

2 years ago

Read 2 more answers