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3 years ago

It would be great if you could help me solve the circled question. It's regarding logarithms.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

x=1/8

Step-by-step explanation:

2²x-7×2x+6=0,4x-7×2x+6=0,4x×2x=0+7-6,8x=1,8x/8=1/8,8 will cancel 8 and x will stand alone so x=1/8

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What two numbers add to 15 and multiply to negative 312?

natima [27]

X + y = 15
xy = -312

x + y = 15
x - x + y = -x + 15
y = -x + 15

xy = -312
x(-x + 15) = -312
x(-x) + x(15) = -312
-x² + 15x = -312
-x² + 15x + 312 = 0
-1(x²) - 1(-15x) - 1(312) = 0
-1(x² - 15x + 312) = 0
  -1     -1
x² - 15x + 312 = 0
x = -(-15) ± √((-15)² - 4(1)(312))
2(1)
x = 15 ± √(225 - 1248)
2
x = 15 ± √(-1023)
2
x = 15 ± 31.984i
2
x = 7.5 ± 15.992
x = 7.5 + 15.992 or x = 7.5 - 15.992
x = 23.492     or      x = -8.492

  x + y = 15
23.492 + y = 15
- 23.492 - 23.492
y = -8.492
(x, y) = (23.492, -8.492)

or

  x + y = 15
-8.492 + y = 15
+ 8.492   + 8.492
y = 23.492
(x, y) = (-8.492, 23.492)

The two numbers that add up to 15 and mutliply to -312 are -8.492 and 23.492.

6 0

3 years ago

Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store

Softa [21]

Answer:

Step-by-step explanation:

1 pound = 16 ounces

total ounces needed = 2.75 x 16 = 44 pounds

Ounces of cake she needs = 44 - 4 = 40

Minimum blocks needed = ounces needed / ounces of each block

40 / 8 = 5

3 0

3 years ago

Help!!!!!!!!!!!!!!!!

deff fn [24]

502.5 = -502.5

Now

x = -502.5

= -5025/10

= -1005/2 feet

Answered by Gauthmath must click thanks and mark brainliest

3 0

3 years ago

Read 2 more answers

The table represents the speed of Frog A at a frog-jumping contest. Frog B travels 2 feet each second. If the course is 20 feet

Black_prince [1.1K]

Answer:

Frog b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

You can use the distance formula (d = rt) to solve this problem.

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

Calculations

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

3 years ago