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2 years ago

Which of the following is the solution to the inequality below -5x - 10 < 20

Mathematics

1 answer:

postnew [5]2 years ago

4 0

Answer:

x > -6

Step-by-step explanation:

-5(-4) - 10 < 20

20 - 10 < 20

10 < 20

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Need to figure out y

Soloha48 [4]

Y = 62 degrees
Because corresponding angles are equal.

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2 years ago

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Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose?

butalik [34]

Assuming this Fence enclosment will be in the shape of a rectangle we will use the equation used to find the area of a rectangle, b×h=a

Using this formula we then must pick out factors used to create, in which the perimeter will add up to 20

·5,5,5,5 (25)
·8,2,8,2 (16)
·6,4,6,4 (24)

using this we can learn<span> that the maximum area that can be exclosed by this is 25, because the 2 perimiter lengths that define this rectangle would be 5 and 5.

</span>b(5)×h(5)=25(a)

therefore, your answer is 25 Units

-I hope this is the answer you are looking for feel free to post your questions here on brainly in the future

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2 years ago

What is 3*5/2 A.5/6 B.15/2 C.8/2 D.15/6

alina1380 [7]

Answer:

The correct answer to this question is B

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2 years ago

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The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.