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3 years ago

What is the solution for 75<-5(4x+1)

2 answers:

5 0

75 < -5(4x+1)
75 < (-5)(4x)+(-5)(1) distributive property
75 < -20x-5 simplified
75+5 < -20x-5+5 additive inverse
80 < -20x
80/-20 < -20/-20x multiplicative inverse
-4 > x divided by a negative number so sign changes

Solution : -4 > x

mafiozo [28]3 years ago

3 0

x < - 4

Good luck! (:

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2(4x-3)>-3(3x)+5x help

Roman55 [17]

Answer:

$x>1/2$

Step-by-step explanation:

$2(4x-3)>-3(3x)+5x$

Expand the brackets.

$8x-6>-9x+5x$

Add -9x and 5x

$8x-6>-4x$

Add 4x and 6x on both sides.

$8x+4x>6$

Add the like terms.

$12x>6$

Divide 12 into both sides.

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2 years ago

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Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the

Vikki [24]

Answer 
18 feet and 4.5 inches

Explanation 
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
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The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.

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2 years ago

One ballispicked at random from a box containing 3redballs and 1green balls. If X is the number of redballs picked, find the pro

Paladinen [302]

Answer:

P(X = 0) = 0.25

P(X = 1) = 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability distribution of X.

3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.

$P(X = 0) = \frac{1}{4} = 0.25$

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2 years ago

Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

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First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

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Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

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2 years ago

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A country's population in 1993 was 116 million.

labwork [276]

Answer:

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Step-by-step explanation:

This is a proportion match question, we consider 121-116 to represent a 9 year change = 5 rate of change per 9 years. We need to find one year so we divide 5/9=0.55 per year growth. =2002- 2007= 0.55 million x 5 = 2.8million growth add 121 million = 121 =123.8 in 2007 = 124 million to nearest m.

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2 years ago