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4 years ago

Please me help with this question!ASAP!

Mathematics

1 answer:

Sloan [31]4 years ago

7 0

$110,000

Marketers = 50000

Engineers = 80000

Managers = X

Average = sum/number of values

Sum = 50000 + 80000 + X

Number of values = 3

80000 = (50000 + 80000 + X)/3

Solve to find X

Multiply both sides by 3

240000 = 50000 + 80000 + X

Get X on its own by subtracting the salaries.

240000 - 80000 - 50000 = X = 110000

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What is the rate of change between the interval of x = 3 pi over 2 and x = 2π?

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Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

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3 years ago

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 1 inches. She p

Sauron [17]

The expression used for the length of ribbon that she needs for both pillows will be $4(2x^{2} +4x-6)$ .

The total length of the pillow she needs will be 130 inches.

Given,

The side length of pillow is $(2x^2 + 1) \ inches$ .

The side length of another pillow is $4x-7 \ inches$ .

We know that perimeter of square will be,

$P=4\times length$

So the perimeter of pillow will be,

$P=4\times (2x^2+1)\\$

$P=8x^{2} +4$

Similarly, the perimeter of another pillow will be,

$P=4\times (4x-7)$ ]

$P=16x-28$

Hence,the total length of ribbon that she needs for both the pillows will be,

$8x^{2} +4+16x-28\\8x^{2} +16x-24\\4(2x^{2} +4x-6)$

If $x=3.5\\$ then the total length of ribbon will be,

$4(2\times 3.5^{2}+4\times 3.5-6)\\4(2\times 12.25+14-6)\\$

$4(24.5+8)$

$4\times 32.5\\$

$130 \ inches$ .

Thus the required expression will be $4(2x^{2} +4x-6)$ and the total length of ribbon she needs will be 130 inches.

So, the correct option will be (D).

For more details on perimeter of square follow the link:

brainly.com/question/5402168

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