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2 years ago

9

Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!

1 answer:

Rudiy272 years ago

7 0

Answer:

$\text{D.}\quad d=\dfrac{206-8(10)}{7}$

Step-by-step explanation:

The total length of the space between rungs is the overall length less the width of 8 rungs, so is 206 -8(10). That space is divided into 7 equal parts, as shown by the equation in choice D.

_____

Choice A looks similar, but is not. In that equation, only the term 8(10) is divided by 7. You want the difference to be divided by 7, so must have a grouping symbol of some kind. Choice D uses the division bar to group the terms of the numerator. Parentheses would work, too, as in ...

d = (206 -8(10))÷7

but without them, the equation is incorrect.

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(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)

klemol [59]

Answer:

$\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1$

Step-by-step explanation:

Given the expression

$\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)$

Remove parentheses: (a)=a

$=-t^4-5t^3-10t^2+9t^3+3t^2-1$

Group like terms

$=-t^4-5t^3+9t^3-10t^2+3t^2-1$

Add similar elements

$=-t^4-5t^3+9t^3-7t^2-1$ ∵ $-10t^2+3t^2=-7t^2$

Add similar elements

$=-t^4+4t^3-7t^2-1$ ∵ $-5t^3+9t^3=4t^3$

Thus, the equivalent expression in simplified form:

$\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1$

4 0

2 years ago

Given f(x) = 4x + 2, find f-1(3).

Alexxandr [17]

Answer:

1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

f(x) = 3 = 4x +2

1 = 4x . . . . . . subtract 2

1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

$\boxed{f^{-1}(3)=\dfrac{1}{4}}$

4 0

1 year ago

17. The area of a rectangular sandbox is 8x2 + 18x + 9. If one of it's dimensions is (2x + 3), what is the other

Natasha2012 [34]

Answer:

The other dimension of the sandbox must be (4x+3).

Hope this helps! Have a good day!

6 0

2 years ago

Find the vertices of the following functions.<br> Y=4(x-2)(x-3)<br><br> Y=-4(x+2)^2 -5

Natalija [7]

1) 5/2 , -1
2) -2,-5

8 0

2 years ago

Two angles are suppiementary, One angle is three times the measure of the other. What are the measures of the angles? Enter only

laiz [17]

Answer:

135 degrees and 45 degrees

Step-by-step explanation:

Two angles are supplementary when their sum adds up to 180 degrees.

4 0

2 years ago