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2 years ago

6. Solve this inequality: j/4 -8 < 4.

Mathematics

1 answer:

Vaselesa [24]2 years ago

6 0

Answer:

Step-by-step explanation:

Given

$\frac{j}{4}$ - 8 < 4 ( add 8 to both sides )

$\frac{j}{4}$ < 12

Multiply both sides by 4 to clear the fraction

j < 48 → D

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An oxygen tank contained 212 12/3 liters of oxygen before 27 1/3 liters were used. If the tank can hold 240 3/8 liters, how much

lukranit [14]

So, initially 240 $\frac{3}{8}$ -212 $\frac{12}{3}$ were empty:

this is :

$240 \frac{3}{8} - 212 \frac{12}{3} = 240 \frac{3}{8} - 212 +4 = 240 \frac{3}{8} - 216= 24 \frac{3}{8}$

12/4 is 4 so that's why i substituted it with 4.

now, later 27 1/3 were used so we add this tho the original empty space

$24 \frac{3}{8}+ 27 \frac{1}{3}$ = $24 \frac{9}{24}+ 27 \frac{8}{24}$ = $51 \frac{17}{24}$

which is the result!

5 0

2 years ago

Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.

zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b)-f(a)}{b-a}$

In this question:

$f(x) = 4x - 2, b = 4, a = 2$

Thus:

$f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14$

$f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6$

Average rate of change:

$A = \frac{f(b)-f(a)}{b-a}$

$A = \frac{14-6}{4-2}$

$A = \frac{8}{2}$

$A = 4$

The average rate of change between x = 2 and x = 4 is of 4.

7 0

2 years ago

Does anyone know the answer??

andrew-mc [135]

Answer:

it's c

the slope is 5/2 and the y intercept is 10

7 0

2 years ago

Can anyone help me with dis

dolphi86 [110]

Answer:

Slope is 2.

Step-by-step explanation:

So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:

Step 1 - $x_2-x_1=change_.in_.x$