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3 years ago

The polynomial X3+ 8 is equal to

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

Answer:

(x + 2)(x² - 2x + 4)

Step-by-step explanation:

x³ + 8 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

x³ + 8

= x³ + 2³

= (x + 2)(x² - 2x + 4)

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Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take h

almond37 [142]

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

45-15 is 30.

30/5 is 6

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3 years ago

Read 2 more answers

Y = 2x - 2 , y = 2x + 9 . what's the solution ?

beks73 [17]

If you solve it, you get 2=9, which is incorrect. That means there's no solution.

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4 years ago

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Determine whether the points lie on straight line.

wel

Answer:

A) Non-collinear- does not lies on straight line

B) Collinear- lie on straight line

Step-by-step explanation:

We have to check collinearity of three points.

The points $(x_1, y_1, z_1),(x_2, y_2, z_2),(x_3, y_3, z_3)$ are said to be collinear if,

$\left[\begin{array}{ccc}x_1&y_1&z_1\\x_2&y_2&z_2\\x_3&y_3&z_3\end{array}\right] = 0$

A) A(2, 5, 3), B(3, 7, 1), C(1, 4, 4)

$\left[\begin{array}{ccc}2&5&3\\3&7&1\\1&4&4\end{array}\right] \\\\=2(28-4)-5(12-1)+3(12-7)\\= 8 \neq 0$

Thus, the given points are not collinear.

B) D(0,-5,5), E(1,-2,4), F(3,4,2)

$\left[\begin{array}{ccc}0&-5&5\\1&-2&4\\3&4&2\end{array}\right] \\\\=0(-4-16)+5(2-12)+5(4+6)\\=0$

Thus, the given points are collinear.

6 0

3 years ago

13/312500 in scientific notation

STatiana [176]

Answer is 4.16*10^-5

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4 years ago

Noah's Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 pe

Mashutka [201]

Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

3.7x = 29.6

x = 29.6/3.7

x = 8 pounds

Recall;

y = 20 - x

y = 20-8

y = 12 pounds

7 0

4 years ago