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3 years ago

9

Translate the given statement into an algevraicThe range of temperature on other planets is different than the temperature here

on earth. For instance

1 answer:

KiRa [710]3 years ago

3 0

Answer:

x=10 y=-50 planet temperature If we start at zero degree it will affect negative and positive outputs. This is a line graph and we enter lower temperatures first until we are at zero and the highest point of the graph is 10 which means 0+ degree as temperatures warm in air anyway whilst our average is 0 degree the other [lanets average is -25. Considering The arctic is -35 and Africa average temperature is 25 degree and both countries are 40% of the world. We can set our graph to y=m+x+c=0 x=10 y=-50

Step-by-step explanation:

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Solve the inequality.<br> |3x+7| <_ 4

n200080 [17]

Answer:

Using ∣x∣>a⇒x<−a or x>a, we get

∣3x−7∣>4⇒3x−7<−4 or 3x−7>4

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4 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

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$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

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Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

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3 years ago

What is 20% by 37 decreased

Ghella [55]

Answer:

<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>

Step-by-step explanation:

<u><em>To do this, what we do is simply </em></u><u><em>take 20% of 37 and subtract it from 37.</em></u>

<u><em>20% of 37.</em></u><u><em> A trick to easily figure this out is </em></u><u><em>multipling 37 by 20 and dividing by 100.</em></u>

<u><em>37*20 = 740</em></u>

<u><em>740 / 100 = 7.40</em></u>

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