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s2008m [1.1K]
3 years ago
15

What's a word problem for 10x=2

Mathematics
1 answer:
ohaa [14]3 years ago
8 0

Answer: Divide each side by '10'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3

Step-by-step explanation:

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Use the Quadratic Formula to solve the equation 4x^2−7=4x.
tino4ka555 [31]

Answer:

\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}

Step-by-step explanation:

\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2

6 0
3 years ago
Find the area of the trapezoid when height = 5in, base1 = 12in, and base2 = 15in.
myrzilka [38]
A= (a+b)/2*h
A=(12+15)/2*5
A=(27/2)*5
A=13.5*5
A=67.5in
5 0
3 years ago
Read 2 more answers
You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound
Grace [21]

Answer:

  94 months

Step-by-step explanation:

You can use the amortization formula for this.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

__

Filling in the numbers, we can solve for n:

  25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

  1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

  2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

  log(2/15) = -n·log(1+0.26/12)

  n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

_____

Your total of payments would be $2,350.

3 0
3 years ago
(25 points & Brainliest, please explain)
My name is Ann [436]

Answer:

Quadratic expression

Step-by-step explanation:

5x + 3x^2 − 7

Degree of expression = 2

So it is Quadratic expression

6 0
3 years ago
Read 2 more answers
Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik
sergejj [24]

Answer:

<em>Yellow troop will complete the hike faster than blue troop</em>

<u>Blue troop hikes 1.33 miles in 1 hour</u>

<u>Yellow troop hikes 2.25 miles in 1 hour</u>

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels \frac{2}{3} miles ever \frac{1}{2} hour:

\frac{1}{2} hr = \frac{2}{3} miles

1 hr = \frac{(2)2}{3}

1 hr= \frac{4}{3} miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels \frac{3}{4} miles ever \frac{1}{3} hour:

\frac{1}{3} hr= \frac{3}{4} miles

1 hr = \frac{(3) 3}{4} miles

1 hr =\frac{9}{4} miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

<u><em>Yellow troop will complete the hike faster than blue troop</em></u>

7 0
3 years ago
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