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Naily [24]
2 years ago
5

Write the equation of the line in slope-intercept form that has the following slope and intercept: `m=-\frac{1}{2}` and `b=-2`

Mathematics
1 answer:
9966 [12]2 years ago
8 0

Answer:

y= 1/2x - 2

Step-by-step explanation:

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Calculus: Help ASAP
Serggg [28]
\bf \displaystyle \int\limits_{-1}^{0}~(4x^6+2x)^3(12x^5+1)\cdot  dx\\\\
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u=4x^6+2x\implies \cfrac{du}{dx}=24x^5+2\implies \cfrac{du}{2(12x^5+1)}=dx\\\\
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\displaystyle \int\limits_{-1}^{0}~u^3\underline{(12x^5+1)}\cdot\cfrac{du}{2\underline{(12x^5+1)}}\implies \cfrac{1}{2}\int\limits_{-1}^{0}~u^3\cdot du\\\\
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\bf \textit{now, we'll change the bounds, using u(x)}
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u(-1)=4(-1)^6+2(-1)\implies u(-1)=2
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u(0)=4(0)^6+2()\implies u(0)=0\\\\
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\displaystyle \cfrac{1}{2}\int\limits_{2}^{0}~u^3\cdot du\implies \left. \cfrac{1}{2}\cdot \cfrac{u^4}{4}  \right]_{2}^{0}\implies \left. \cfrac{u^4}{8}  \right]_{2}^{0}\implies [0]-[2]\implies -2
5 0
2 years ago
Answer this question for brainliest and 20 points
Naddik [55]

Answer:

Least to greatest: 2, 3, 1

Step-by-step explanation:

Square root of 8 over 2 is about 1.41 which makes it the least value

2 is obviously equal to 2 which puts it in the middle

Square root of 7 is about 2.64 which makes it the greatest value

3 0
2 years ago
The area of a rectangle that has a length of 10 and a width of w.
alexdok [17]

Answer:

B

Step-by-step explanation:

To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.

8 0
3 years ago
30 points! Find the four arithmetic means between -17 and 32.
bearhunter [10]

Answer: - 7.2 , 2.6 , 12.4 and 22.2

Step-by-step explanation:

Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:

-17 , p , q , r , s , 32

The first term (a ) = -17

Last term (L) = 32

common difference (d) = ?

number of terms (n ) = 6

We will use the formula for calculating the last term to find the common difference. That  is

L = a + (n - 1 ) d

Substituting the values , we have

32 = -17 + (6-1) d

32 = -17 + 5d

32 + 17 = 5d

49 = 5d

Therefore: d = 9.8

We can therefore find the values of p , q , r , and s

p is the second term , that is

p = a + d

p = -17 + 9.8

p = -7.2

q = a + 2d

q = - 17 + 19.6

q = 2.6

r = a + 3d

r = - 17 + 29.4

r = 12.4

s = a + 4d

s = - 17 + 39.2

s = 22.2

Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2

8 0
3 years ago
The product of 7 and a number is 126. Find the number
fenix001 [56]

Answer:

18

Step-by-step explanation:

Product of 7 and a number is 126.

Let's form the equation,

→ 7 × x = 126

The required value of x will be,

→ 7 × x = 126

→ x = 126/7

→ [ x = 18 ]

Hence, the number is 18.

6 0
2 years ago
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