What is the answer to 7-7(1x-7)>-4+5x

Mathematics

1 answer:

earnstyle [38]2 years ago

6 0

7 - 7(x - 7) > -4 + 5x
7 - 7x + 49 > -4 + 5x
56 - 7x > -4 + 5x
-7x - 5x > -4 - 56
-12x > -60
x < -60/-12
x < 5

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Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
$\implies\mathbf r'(t)=\langle 2t,-1,4\rangle$

$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
$=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle$
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2 years ago

1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)

dem82 [27]

Answer:

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3,5,9,17,33

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the expression for "the difference between 5 times a number and twice that number"?

ycow [4]

Hey there :)

Before translating the sentence into mathematics, let r represent 'a number'

5 times a number = 5r
2 times that number = 2r

The difference between them = 5r - 2r

* Your equation
5r - 2r

* Solving the equation
= 5r - 2r
= 3r

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3 years ago

What is 1/4x24 I need help

ZanzabumX [31]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{6}}}}}$

Step-by-step explanation:

$\sf{ \frac{1}{4} \times 24}$

Multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after Multiplication into lowest term

$\dashrightarrow{ \sf{ \frac{1 \times 24}{4 \times 1}}}$