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3 years ago

PLEASE HELP ME FAST!

Mathematics

1 answer:

leonid [27]3 years ago

6 0

Answer: B

Step-by-step explanation:

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Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4

baherus [9]

Answer:

log_3(2x+15)=2 and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

$log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3$

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3 years ago

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Solve x2 + 12x + 6 = 0 using the completing-the-square method.

exis [7]

X^2+12x+6=0 subtract 6 from both sides...

x^2+12x=-6 halve linear coefficient, square it, and add it to both sides...

x^2+12x+36=30 now the left side is a perfect square...

(x+6)^2=30 take square root of both sides...

x+6=30^(1/2) subtract 6 from both sides...

x=-6-30^(1/2) and -6+30^(1/2)

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3 years ago

It is estimated that 45% of people in Fast-Food restaurants order a diet drink with their lunch. Find the probability that the f

mixer [17]

Answer:

So, the probability is P=0.041.

Step-by-step explanation:

We know that 45% of people in Fast-Food restaurants order a diet drink with their lunch.

We conclude that the probaility p=0.45 that a person order a diet drink.

We calculate the probability that the fourth person orders a diet drink.

We get:

$P=p^4\\\\P=0.45^4\\\\P=0.041\\$

So, the probability is P=0.041.

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2 years ago

Which of the following is the image of the point (-1,6) after a counterclockwise rotation of 90about t

Eva8 [605]

The correct one is 2

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3 years ago

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Please explain

sdas [7]

Answer:

180 minutes so 3 hours

Step-by-step explanation:

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3 years ago