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2 years ago

Solve for X. −68 < 8x − 4 < −36

2 answers:

7 0

You want to get x in the middle by itself.

Add 4 to all pieces.

-68 < 8x-4 <-36
+4 +4 +4

-64<8x <-32

Divide everything by 8

-64/8<8x/8<-32/8

-8< x <-4

Answer:: all the number between -8 and -4 but not counting them

Aloiza [94]2 years ago

4 0

Answer:

The required solution is $-8$ in interval notation (-8,-4).

Step-by-step explanation:

Consider the provided inequality.

$-68 < 8x - 4 < -36$

We need to solve the inequity for x.

Add 4 to the provided inequality.

$-68+4$

Divide both the sides by 8.

$-8$

Thus, the value of x is greater than -8 but less than -4.

The required solution is $-8$ in interval notation (-8,-4).

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-1.84 - 2.3m= -2.3(m+.8)

alexira [117]

Answer:

m ∈ R

Step-by-step explanation:

- 1,84 - 2,3m = - 2,3(m + 0,8)

- 1,84 - 2,3m = - 2,3m - 1,84

m ∈ R

5 0

3 years ago

C. Make n subject of the formula<br>S= n/2 [2a + (n - 1)d]<br><br>please provide your working out

yKpoI14uk [10]

Answer:

$n=\frac{4as -2ds}{(1-2ds)}$

Step-by-step explanation:

$S= \frac{n}{2 [2a + (n - 1)d]}$

Simplifying the fraction by multiplying d into the (n-1) term,

$s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }$

Simplifying the fraction by multiplying 2 throughout,

$s= \frac{n}{4a + 2dn-2d}$

Multiply $(4a + 2dn-2d)$ on both sides

$(4a + 2dn-2d)s= \frac{n}{4a + 2dn-2d} (4a + 2dn-2d)$

Cancel the $(4a + 2dn-2d)$ on the right hand side

$(4a + 2dn-2d)s= n$

Multiply s to the terms,

$4as + 2dns-2ds= n$

Move $2dns$ to the right hand side by subtracting $2dns$ on both sides $4as + 2dns-2ds-2dns= n-2dns$

$4as -2ds= n-2dns$

On the right hand side of the equation, take out $n$

$4as -2ds= n(1-2ds)$

Divide Left hand side by $(1-2ds)$ ,

$n=\frac{4as -2ds}{(1-2ds)}$

6 0

3 years ago

tank a contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. tank b contains 100 gallons of water bu

julia-pushkina [17]

A=35+5t, b=100-8t, a=b when:

35+5t=100-8t subtract 35 from both sides

5t=65-8t add 8t to both sides

13t=65 divide both sides by 13

t=5 minutes

a=35+5(5)=60 gallons

So the tanks have an equal volume of 60 gallons after five minutes.

4 0

3 years ago

Write an equation in slope intercept form and standard form for the line that passes through the given points of (-4,7) and (8,-

kherson [118]

The answer is y=-2/3x+13/3

6 0

3 years ago

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

Phantasy [73]

1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:

x^2 + 5x = 300

x^2 + 5x - 300 = 0 (Subtract 300 from both sides)

(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)

From this, we get: x = 15 or x = -20

Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.

2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:

Length = x + 5

Length = 15 + 5 = 20

Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.

6 0

2 years ago