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Salsk061 [2.6K]

3 years ago

13

Can someone help me with this please?

2 answers:

Stells [14]3 years ago

4 0

Answer:

(r - 5)/(1+3)= -2

(r - 5)/4 = -2

r - 5 = -8

r = -3

Step-by-step explanation:

vlabodo [156]3 years ago

4 0

A slope of -2 would mean that for every 2 DOWN on the y axis, one unit is traversed on the x axis. Meaning that adding (1, -2) to any points would calculate the remaining points on such a sloped line.

(-3,5) —> (1,r)

1 is 4 away from -3

4 times -2 is -8

So r = 5-8

R=-3

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The difference of nine times a number and the quotient of 6 and the same number.

Anvisha [2.4K]

If number is equivalent to x.
Answer is:
9•x-6/x

4 0

3 years ago

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

Average rate of change

MaRussiya [10]

Answer: the rate of change is 3

Step-by-step explanation:

5 0

3 years ago

Is 1/4 greater than or less than 3/9

den301095 [7]

Answer: Less

Step-by-step explanation: Ok lets make them both have a common denominator. This is 36. So 1/4 is going to be 9/36 and 3/9 is going to be 12/36

5 0

3 years ago

Read 2 more answers

An amusement park is open for 15 hours a day, 7 days a week

sertanlavr [38]

Answer:

The domains are;

0 < x < 3 for f(x) = 15

3 ≤ x ≤ 7 for f(x) = 22

7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

3 ≤ x ≤ 7 hours = $22

x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

3 0

3 years ago