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amm1812
3 years ago
9

Solve for x if 25^x+2=125^3x+4

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
This one was pretty tough but Math way helped, you should try it out, it explains the problems so you can learn it. I got x = 0, 5
igomit [66]3 years ago
4 0
What you want to do is write the numbers with similar bases, and then you can cross the bases off. Like this:

25^x+2=125^3x+4
5^2(x+2)=5^3(3x+4)
Now you can cross the similar bases off.
2(x+2)=3(3x+4)
2x+4=9x+12
7x=-8
X=-8/7
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Determine the slope of the line that passes through the points (-2, 5) (1, -7)
Llana [10]

Answer:

  • -4

Step-by-step explanation:

<u>Given points </u>

  • (-2, 5) (1, -7)

<u>Use slope formula to find the slope</u>

  • m = (y2 - y1)/(x2 - x1)
  • m = (-7 -5)/(1 + 2) = -12/3 = -4

Slope is -4

5 0
3 years ago
Read 2 more answers
What time will be passed when the minute hand of a clock turn through (π/3)grades
Zinaida [17]

π is equivalent to a semicircle or 30 minutes on a clock face for the minute hand.

So π/3 = 30/3 = 10 minutes (answer).

7 0
3 years ago
HELP ASAP<br> PLZ ITS URGENT
Radda [10]

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

y = -\frac{1}{8}x^2 +4x --- Path of a t-shirt

3y = 2x - 14 --- height of bleachers

Required

Height when t-shirts land in bleachers

3y = 2x - 14

Make y the subject

y = \frac{2}{3}x - \frac{14}{3}

Substitute y = \frac{2}{3}x - \frac{14}{3} in  y = -\frac{1}{8}x^2 +4x

\frac{2}{3}x - \frac{14}{3} =  -\frac{1}{8}x^2 +4x

Multiply through by 24

16x- 112 = -3x^2 +96x

Express as:

3x^2 + 16x  -96x- 112 = 0

3x^2 -80x- 112 = 0

Using a calculator:

x = 28 or x = -\frac{4}{3}

x can not be negative:

So:

x = 28

Substitute x = 28 in y = -\frac{1}{8}x^2 +4x to calculate the height it landed

y = -\frac{1}{8} * 28^2 + 4 * 28

y = 14

8 0
3 years ago
Jacob’s class had 8 boys and 10 girls. Olivia’s class has 9 boys and 15 girls. Which class has the smaller ratio of boy/girls?
bonufazy [111]

Answer:

jacobs class

Step-by-step explanation:

5 0
3 years ago
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If the area of a park is exactly halfway between 2.4 and 2.5 acres what is the area of the park
Paul [167]
Get the distance between two acres.

2.5 - 2.4 = 0.1

Divide the diffence by 2
0.1 / 2 = 0.05 - Halfway between them.

Therefore, 0.05 must be taken from 2.5 acres. it must be added to 2.4 acres to get the exact area of the park.

2.5 - 0.05 = 2.45
2.4 + 0.04 = 2.45 acres

OR

Simply get the average of the two to get the area since it is exactly halfway between the two acres of land.

2.5 + 2.4 = 2.9 / 2 = 2.45 acres
8 0
3 years ago
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