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2 years ago

Can you make 1000using only 8's

Mathematics

2 answers:

soldier1979 [14.2K]2 years ago

6 0

Yes, the expression to answer that is 1,000 divided by, the answer is 125.

Flura [38]2 years ago

5 0

(8 × 8 × 8) + (8 × 8 × 8) - (8 + 8 + 8)

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For the rational expression 2x^2-7x-15/x^2-25, do both of the following,

Mrrafil [7]

Answer:

a. $\frac{2x + 3}{x+5}$

b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)

Step-by-step explanation:

Factor the numerator (Grouping):

$2x^2 - 7x - 15$

Two numbers that multiply to -30 and add to -7 = -3 and 10

$[2x^2 - 10x] + [3x - 15]$

$(2x + 3)(x - 5)$

Factor the denominator (Difference of Two Squares):

$x^2 - 25$ = $(x +5)(x-5)$

Factored Expression:

(x - 5) can be factored out of top and bottom as a hole-

$\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}$

Variable Restrictions:

Denominator ≠ 0

$x + 5 = 0\\x = -5$

Vertical asymptote at x = -5 ⇒ x ≠ -5

3 0

3 years ago

3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

g100num [7]

Answer:

A.10000

B.25 more trees must be planted

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)

A.

⇒If the total trees per acre is doubled , which means :

total number of trees per acre $t_{f}$ = $2*t_{i}$ = 200

the yield will decrease by : $t_{f}$ - $y_{i}$

$y_{f}= 150-100= 50$

⇒total yield = $50*200=10000$

B.

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = $(100+y)*(150-y)\\=15000+50y-y^{2} \\$

this is a quadratic equation. this can be rewritten as ,

⇒ $=15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}$

In this equation , the total yield becomes maximum when y=25;

⇒Thus the total number of trees per acre = 100+25 =125;

3 0

2 years ago

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art

AleksAgata [21]

I’m pretty sure the answer is 8 inches, mark as brainleist pls :)

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2 years ago

Geometric mean of 32 and 18

Rudiy27

Answer

Geometric mean: 24

3 0

3 years ago

Simplify the expression: (2x-3y)^2/(3y-2x)^2

Gelneren [198K]

The answer is one.
Hope this helped.

7 0

3 years ago