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GalinKa [24]
3 years ago
11

Divide the following 81x⁷yz³ by -3x²y²z² ​

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

-27x^5y^-1 z

Step-by-step explanation:

<u>81x⁷yz³</u>

-3x²y²z²

-27x^5y^-1 z

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A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head st
AVprozaik [17]

Answer:

1. 8t

2. 510 + 6t

3. 510 - 2t

Step-by-step explanation:

1. Since the hare moves at a speed of 8 metres per second, the distance it moves from the starting line is d = speed × time = 8t

2. Since the rabbit moves at a speed of 6 metres per second, and gets a head start of 510 metres, the distance it moves from the starting line is d = 510 m + speed × time = 510 + 6t

3. The distance the tortoise is ahead of the hare is thus, distance moved by rabbit - distance moved by hare in time, t.

d' = 510 + 6t - 8t

= 510 - 2t  

5 0
3 years ago
Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)
Georgia [21]
(-2,7) and (14,21)

Find the slope by using the formula m =  \frac{y2 - y1}{x2 - x1}

Plug in the numbers. m = \frac{21 - 7}{14 - - 2} &#10; \\  m= \frac{14}{16}  =  \frac{7}{8} &#10;

Write it in point slope form first

y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
   + 7            +7

y = 7/8x + 8.75

Our final equation would be: <span>y = 7/8x + 8.75</span>

7 0
4 years ago
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What
Mariana [72]

Answer:

The amount of change was 172

8 0
3 years ago
Read 2 more answers
What is the completely factored form of 12xy – 9x – 8y + 6? (3x – 2)(4y – 3) 3x(4y – 3) – 2(4y + 3) –6x(4y – 3)(4y – 3) (3x – 2)
d1i1m1o1n [39]
<span>12xy - 9x - 8y + 6 = 3x(4y-3) - 2(4y-3) = (3x-2)(4y-3)</span>
7 0
4 years ago
Read 2 more answers
Hich function has a range of {y|y ≤ 5}?
marshall27 [118]

Answer:

f(x)=-(x-4)^{2}+5

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a>0 -----> the parabola open upward (vertex is a minimum)

if a<0 -----> the parabola open downward (vertex is a maximum)

<u>Verify each case</u>

case A) f(x)=(x-4)^{2}+5

The vertex is the point (4,5)

a=1

a>0 -----> the parabola open upward (vertex is a minimum)

The range is the interval--------> [5,∞)

y\geq5

case B) f(x)=-(x-4)^{2}+5

The vertex is the point (4,5)

a=-1

a<0 -----> the parabola open downward (vertex is a maximum)

The range is the interval--------> (-∞,5]

y\leq 5

case C) f(x)=(x-5)^{2}+4

The vertex is the point (5,4)

a=1

a>0 -----> the parabola open upward (vertex is a minimum)

The range is the interval--------> [4,∞)

y\geq4

case D) f(x)=-(x-5)^{2}+4

The vertex is the point (5,4)

a=-1

a<0 -----> the parabola open downward (vertex is a maximum)

The range is the interval--------> (-∞,4]

y\leq 4

4 0
3 years ago
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