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tatiyna
3 years ago
8

Write the domain as an inequality​

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
4 0

Answer:

x\leq 0

Step-by-step explanation:

The domain is the span of x-values covered by the graph.

From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.

Therefore, the domain is all x-values less than or equal to 0:

x\leq 0

Further notes:

In interval notation, this is:

(-\infty,0]

Minchanka [31]3 years ago
3 0

Answer:

\huge \boxed{x\geq 0}

Step-by-step explanation:

The domain is all possible values for x or where the x values covers the graph.

All the values for x are less or equal to 0 as shown in the graph.

This can be written as an inequality:

x\geq 0

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3 years ago
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge
jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

a^{2} +b^{2} =c^{2}

(3.3)^{2} +b^{2} =(5.2)^{2}

b^{2} =(5.2)^{2}-(3.3)^{2}

b =\sqrt{(5.2)^{2}-(3.3)^{2}}

b=4.0187...

b=4.0 m

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

c^{2}  =a^{2} +b^{2} -2ab(cos(C))

(3.3)^{2}  =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))

cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}

C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})

C=39.3915...

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0
3 years ago
Help help help ASAP
STatiana [176]

Answer:

x=-8

Step-by-step explanation:

Subtract 2 from both sides

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Subtract 2x from both sides

Simplify

8 0
2 years ago
Read 2 more answers
4(8x−1) = 19+32x
Fantom [35]

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

4 ( 8x − 1 ) = 19 + 32x

Step 1: Simplify both sides of the equation.

4 ( 8x − 1 ) = 19 + 32x

( 4 ) ( 8x ) + ( 4 ) ( −1 ) = 19 + 32x ( Distribute )

32x + −4 = 19 + 32x

32x − 4 = 32x + 19

Step 2: Subtract 32x from both sides.

32x − 4 − 32x = 32x + 19 − 32x

−4 = 19

Step 3: Add 4 to both sides.

−4 + 4 = 19 + 4

0 = 23

Answer:

There are no solutions.

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

5 0
2 years ago
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If you earn $134 in 8 hours, how much do you earn per hour?
White raven [17]

Answer:

1.75

Step-by-step explanation:

because you divided the money you earned by how much time you worked

7 0
3 years ago
Read 2 more answers
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