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2 years ago

How to solve algebraic inequalities.

Mathematics

1 answer:

Lisa [10]2 years ago

3 0

Algebraic inequalities can be solved in the same way in which algebraic equations are solved.

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How to graph 8+4x=2x

nydimaria [60]

On your calculator your write 8 on the y axis and 4 on the x axis

3 0

3 years ago

Read 2 more answers

I already made an attempt at this question and I would just like to check my answer z = ?

Salsk061 [2.6K]

So we have the equation:

$\frac{z+9}{4}=2.1$

Then we need to multiply by 4 on both sides to get rid of the denominator on the left:

$z+9=8.4$

Then we subtract 9 on both sides to solve for z:

$z=-0.6$

Therefore the answer is z = -0.6.

5 0

3 years ago

Replace ? with an expression that will make the equation valid.

AlexFokin [52]

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

6 0

3 years ago

El recorrido de una etapa de una vuelta ciclística tiene una longitud de 213 kilometros y un ciclista recorre 2/3 del trayecto e

Maurinko [17]

the question in English

The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.

a) How many kilometers are left to finish the stage?

b) If he continues with the same average speed, how much time does he have left to finish the stage?

Step 1

we know that

1) Total kilometers of a stage is $213\ km$

2) The cyclist covers $\frac{2}{3}$ of the route

the kilometers remaining to finish the stage is equal to

$(1-\frac{2}{3})*213= \frac{1}{3}*213\\ \\=71\ km$

therefore

the answer Part a) is

$71\ km$

Step 2

Find the average speed of the cyclist

we know that

the speed is equal to

$speed=\frac{distance}{time}$

we have

$time=5\ hours\\ distance=\frac{2}{3}*213=142\ km$

substitute

$speed=\frac{142}{5}=28.4\frac{km}{h}$

Step 3

Find the time remaining to finish the stage

we know that

$speed=\frac{distance}{time}$

Solve for the time

$time=\frac{distance}{speed}$

we have

$distance=71\ km\\ speed=28.4\frac{km}{h}$

substitute

$time=\frac{71}{28.4}=2.5\ hours$

therefore

the answer Part b) is

$2.5\ hours$

8 0

3 years ago

A drawing has a scale of 1:40 on the drawing a bedroom is a rectangle measuring 10 cm x 18 cm a kitchen has an actual area of 30

REY [17]

Answer:

The kitchen has a bigger actual area than the bedroom

Step-by-step explanation:

Here, we want to know the compartment with the bigger area

Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;

The real dimensions will be;

10 * 40 and 18 * 40

= 400 by 720

So, its area which is length * width will be;

400 cm * 720 cm = 288,000 cm^2

we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom

3 0

3 years ago