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3 years ago

Graph the following piecewise function.

Mathematics

1 answer:

disa [49]3 years ago

8 0

Step-by-step explanation:

$for\ 2$

$\ -\ \text{op}\text{en circle}\\\\\leq,\ \geq\ -\ \text{closed circle}$

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What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

7 0

3 years ago

Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee

Yuri [45]

Since she had $35.48 on her card.

Amount spent in buying coffee = $70 - $35.48 = $34.52

Cost of coffee = $8.63 per pound

No of pounds = Amount spent / cost per pound

= 34.52 / 8.63 Use your calculator.

= 4

4 0

3 years ago

Read 2 more answers

A triangle has sides with lengths of 3 feet, 6 feet, and 8 feet is it a right triangle?

Zielflug [23.3K]

Answer:

$Solution,\\Longest~side(h) = 8ft.\\Perpendicular(p) = 3ft.\\Base(b) = 6ft.\\Now, \\h^2 = (8)^2 = 64sq.ft.\\p^2+b^2 = 3^2+6^2 = 9+36 = 45sq.ft.\\Since, h^2\neq p^2+b^2, ~the~triangle~is~not~a~right~triangle.$

8 0

3 years ago

7th grade math! Please help! This is almost half of my grade!

stealth61 [152]

You would add the area of the square with the area of the triangle.

Square: length x width
In your case, it would be 100in²

Triangle: length x height x 1/2 (or length x width divided by 2)
16-10 would be 6 (height) 10-6= 4 (length)
6 x 4 x .5 = 12in²

100in²+12in²=112in²

The area is 112in²

6 0

3 years ago

Help me please.......................................................................

yulyashka [42]

T = 49, so 49 divided by 7 = 7.

4 0

3 years ago

Read 2 more answers