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8_murik_8 [283]
2 years ago
13

Solve for x -3 < 3x -9 < 9

Mathematics
1 answer:
bezimeni [28]2 years ago
5 0

Answer:

2 < x < 6

Step-by-step explanation:

- 3 < 3x - 9 < 9 ( add 9 to each interval )

6 < 3x < 18 ( divide each interval by 3 )

2 < x < 6

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16x-15-9x=13 how do I solve for x
dangina [55]
Add two like terms: 16x+(-9x)=7x
Add 15 to both sides: 7x=28
Divide 7 on both sides: x=4
7 0
3 years ago
Q#1 please help t o resolve
Veseljchak [2.6K]

Answer: option. y=-1.33x; 2.67

Solution:

If y varies directly with x, the relation between y and x is:

y=kx

where k is a constant of proporcionality.

We know y=8 when x=-6. Replacing these values in the equation above:

8=k(-6)

8=-6k

Solving for k: Dividing both sides of the equation by -6:

8/(-6)=-6k/(-6)

-1.33=k

k=-1.33

Then the relation between y and x is:

y=kx→y=-1.33x

What is the value of y when x=-2?

Replacing x by -2 in the formula:

y=-1.33x→y=-1.33(-2)→y=2.66

3 0
3 years ago
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
insens350 [35]

Answer:

So, the volume V is

V=\frac{14\pi}{3}

Step-by-step explanation:

We have that:

y=7x\\\\y=0\\\\x=1\\\\x=-4\\

We have the formula:

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).

We calculate the volume V, we get

V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}

So, the volume V is

V=\frac{14\pi}{3}

We use software to draw the graph.

6 0
3 years ago
PLEASE ANSWER DUE IN 30 MINUTES <br> I WILL MARK BRAINLIEST<br> QUESTIONS 1&amp;2 AND SHOW WORK
zhuklara [117]

Answer:

Step-by-step explanation:

Get good

7 0
2 years ago
2,10,18,26 find the 61st term
saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

a_{n} =a_{1} +(n-1)d

Where a_{1} is the first term, a_{n} is the nth term, and d is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do 10-2, which is 8 , or the common difference. Since we have everything we need, it can be plugged into the equation:

a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482

So, the 61st term is 482.

4 0
2 years ago
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