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3 years ago

Solve system by graphing 2x-6y=12 x+y=2

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

First get y by its self , then graph , find intersection point and plug in x and y to both equations, see if it makes sense , then the solution must be you intersection point

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Solve for a: 60a - 80a ≥ -64 -92

Delvig [45]

Answer:

a≤39/5

Step-by-step explanation:

60a - 80a ≥ -64 -92

-20a≥-156

a≤156/20

a≤39/5

5 0

3 years ago

28 ÷ {[(72 ÷ 2) ÷ (3 × 2)] − 2}

Dmitry [639]

Answer:

Step-by-step explanation:

1. 28 / {[36 / 6] - 2}

2. 28 / {6 - 2}

3. 28 / 4

4. 8

6 0

3 years ago

PLEASE HELP I AM SO CONFUSED

Natasha2012 [34]

Answer:

a) h(3) = 9

b) h(0) = 6

c) h(6) = 4

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

$\sf h(x)=\begin{cases}\sf \dfrac{x^2-36}{x-6} &\textsf{if }x\neq 6\\\\\sf 4 & \textsf{if }x=6\end{cases}$

Therefore, the function has two definitions:

$\sf h(x)=\dfrac{x^2-36}{x-6} \quad \textsf{when x does not equal 6}$

$\sf h(x)=4 \quad \textsf{when x equals 6}$

Part (a)

h(3) means to substitute x = 3 into the function.

As x does not equal 6, substitute x = 3 into the first piece of the function:

$\begin{aligned}\sf \implies h(3) & =\sf \dfrac{(3)^2-36}{(3)-6}\\\\ & = \sf \dfrac{9-36}{-3}\\\\ & = \sf \dfrac{-27}{-3}\\\\ & = \sf 9\end{aligned}$

Part (b)

h(0) means to substitute x = 0 into the function.

As x does not equal 6, substitute x = 0 into the first piece of the function:

$\begin{aligned}\sf \implies h(0) & =\sf \dfrac{(0)^2-36}{(0)-6}\\\\ & = \sf \dfrac{0-36}{-6}\\\\ & = \sf \dfrac{-36}{-6}\\\\ & = \sf 6\end{aligned}$

Part (c)

h(6) means to substitute x = 6 into the function.

As x equals 6, then use the second piece of the function:

$\sf \implies h(6)=4$

Learn more about piecewise functions here:

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brainly.com/question/28151925

7 0

1 year ago

Read 2 more answers

2 - 4x = 14 A) -4 B) -3 C) 0 D) 3

mel-nik [20]

Answer:

b: -3

Step-by-step explanation:

2-4x=14

subtract 2

-4x=12

divide -4

x=-3

4 0

2 years ago

Read 2 more answers

Environmental costs associated with natural gas include all of the following EXCEPT: A. pipelines built through environmentally

Scorpion4ik [409]

Answer:

C. trace metals released during combustion

Step-by-step explanation:

These environmental costs can be associated with natural gas:

pipelines built through environmentally sensitive areas
the release of methane into the atmosphere
groundwater contamination
degradation of the land due to drilling techniques

Trace metals released during combustion can be associated with coal or biomass

4 0

3 years ago