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3 years ago

According to the table, Tasha initially had blank dollars before purchasing songs, and the cost of each song was blank dollars?

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Answer:

she had 79.2 dollars before she purchased the songs. Each song costs -24.

Step-by-step explanation:

hope this helps and I hope this is the correct answer God bless you

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A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o

irakobra [83]

You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6

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3 years ago

Using arc length formula find s when r=24 and θ=π/2<br><br> 48π<br> 24π<br> 12π

bulgar [2K]

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

$s = \frac{\theta}{360\degree} \times 2\pi r$

Plug r = 24 and θ=π/2 in the above formula, we fi d:

$s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\s = \frac{\pi}{4\pi} \times 48\pi \\\\\huge \purple {\boxed{s = 12\pi}} \\$

6 0

3 years ago

Read 2 more answers

I have 30 ones, 82 thousands, 4 hundred thousands, 60 tens, and 100 hundreds. What number am I?

stich3 [128]

This problem tackles the place values of numbers. From the rightmost end of the number to the leftmost side, these place values are ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, one hundred millions, and so on and so forth. My idea for the solution of this problem is to add up all like multiples. In this problem, there are 5 multiples expressed in ones, thousands, hundred thousands, tens and hundreds. Hence, you will add up 5 like terms. The solution is as follows

30(1) + 82(1,000) + 4(100,000) + 60(10) + 100(100)

The total answer is 492,630. Therefore, the number's identity is 492,630.

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3 years ago

Find two numbers whose ratio is 3:7 and whose sum is 150

mr Goodwill [35]

$3x-first\ number\\7x-second\ number\\\\3x+7x=150\\10x=150\ \ \ \ \ |:10\\x=15\\\\3\cdot15=45\\7\cdot15=105\\\\Searched\ number\ are\ 45\ and\ 105$

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3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

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3 years ago