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4 years ago

11

Condensing Logarithmic Expression In Exercise,use the properties of logarithms to rewrite the expression as the logarithm of a s

ingle quantity.See example 4.
2 In(5x + 3) + 3/2In(x + 5)

1 answer:

PSYCHO15rus [73]4 years ago

6 0

Answer:

In (5x+3)^2(x+5)^3/2

Step-by-step explanation:

2 In (5x+3) + 3/2 In (x+5)

In (5x+3)^2 + In (x+5) ^3/2

In (5x+3)^2(x+5)^3/2

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Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4. HELP PL

777dan777 [17]

To write the equation of a line I need slope and y intercept (0,y)

I have y intercept (0,7) of +7 as written in the equation

The equation y=-5/4x + 11/4 has a slope of -5/4

To get perpendicular slope is negated reciprocal

so take -5/4 and flip it -4/5 and change the sign (in this case negative to positive) 4/5

so the new equation is y=4/5x +7 (third one)

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3 years ago

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Please Help With this question!<br> There are 3 pictures!

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Corresponding Angles postulate is ur answer mate

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3 years ago

Cassidy's goal is to raise more than $75 for charity. She has already raised $6. Now she is selling cupcakes for $3 each to reac

hodyreva [135]

$75= Cassidy's goal
c= number of cupcakes
a= $6 already raised

EQUATION:
75<$3c + a
substitute $6 in for a

75< $3c + 6
subtract 6 from both sides

69<3c
divide both sides by 3

23<c

Cassidy needs to sell at least 23 cupcakes to reach her goal of $75.

Answer:

FALSE: Cassidy will need to sell any number of cupcakes greater than 12 to reach her goal.

TRUE: Cassidy will need to sell any number of cupcakes greater than 23 to reach her goal.

Hope this helps! :)

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3 years ago

Simplify: x^2-49

Softa [21]

For x^2-49
this is a diffarence of two perfect squares. I suggest that this is memorised.
a^2-b^2=(a-b)(a+b)
so x^2-7^2=(x-7)(x+7)

so to solve x^2+x-56 you want to find out what two numbers add to 1 and multiply to make -56
since -56 is negative we know that the two number are difarent signs so that eliminatess answers B and D.
if we try answer C -8+7=-1 so the answer is not C because we want +1 not -1
then we see that 8+(-7)=1 so the answer is A

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3 years ago

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The sugar sweet company will choose from two companies to transport its sugar to market. The first company charges 6597 to rent

Romashka [77]

The cost when two companies charge the same is $ 9006

<em><u>Solution:</u></em>

Let "x" be the tons of sugar

<em><u>The first company charges 6597 to rent trucks plus an additional fee of $200.75 for each ton of sugar</u></em>

Therefore,

Amount for first company: 6597 + 200.75(tons of suagr)

Amount for first company: 6597 + 200.75x --------- eqn 1

<em><u>The second company charges $7500 to rent trucks plus an additional fee of $125.50 for each ton of sugar</u></em>

Therefore,

Amount for second company: 7500 + 125.50(tons of sugar)

Amount for second company: 7500 + 125.50x --------- eqn 2

<em><u>For what amount of sugar do the companies charge the same?</u></em>

For both the companies to charge the same, eqn 1 must be equal to eqn 2

6597 + 200.75x = 7500 + 125.50x

200.75x - 125.50x = 7500 - 6597

75.25x = 903

x = 12

Thus for 12 tons of sugar, both the companies charge the same

<em><u>What is the cost when two companies charge the same?</u></em>

Substitute x = 12 in any one of equations

Let us substitute x = 12 in eqn 1

$\rightarrow 6597 + 200.75x = 6597 + 200.75(12)\\\\\rightarrow 6597 + 2409 = 9006$

Thus the cost when two companies charge the same is $ 9006

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3 years ago