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1 year ago

What is the product of (x − 7)(2x² – 5x - 3 + 3)?

Mathematics

1 answer:

butalik [34]1 year ago

3 0

Answer:

2x³-5x-14x²+35

Step-by-step explanation:

this is the simplified version/answer

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alex41 [277]

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

3 0

2 years ago

Which of the following equations results in no solutions?

agasfer [191]

Answer choice B would result in no solution

Hope this helps ;)

4 0

2 years ago

The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension

Kay [80]

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

$w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} = \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}$

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

8 0

2 years ago

You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you pain

dmitriy555 [2]

The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the<span> fraction of the painted fence is:
1/3 * 1/4 = 1/12</span>

8 0

3 years ago

I need help with numbers 1-4 please if someone could help me

laila [671]

You can use the slope formula or just calculate
$\frac{rise}{run}$
So for the first problem you run 3 units right and rise 5 units so
$\frac{rise}{run} = \frac{5}{3}$
2. Notice the y axis goes by 2 units.
$\frac{ - 10}{4} = \frac{ - 5}{4}$
3.
$\frac{0}{12} = 0$
4.
$\frac{2}{0} = undefined$
Please let me know if you have questions

3 0

3 years ago