All categories

2 years ago

Step 1: Subtract 3 from both sides of the inequality.

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

6 0

Answer:

$>x > \frac{1}{5} \\$

Step-by-step explanation:

$5 – 8x < 2x + 3$

Subtract 3 from both sides of the inequality, we get

$= \: - 3 + 5 - 8x < 2x + 3 \\ = \: > 2 - 8x < 2x$

Subtract 2x from both sides, we get

$= \: > 2 - 8x - 2x < 2x - 2x \\ = \: > 2 - 10x < 0 \\ = \: > - 10x < 2 \\ = \: > \frac{( - 10)x}{( - 10)} > \frac{( - 2)}{( - 10)} \\ = >x > \frac{1}{5}$

Mandarinka [93]2 years ago

5 0

Answer:

I'm slightly confused with the way you wrote the question xD

But I believe you were asking what step 2 is

In that case the answer would be the 4th choice.

Add 8x to both sides of the inequality.

You might be interested in

Explain how to form a linear combination to eliminate the variable y for this system 2x-3y=3 5x+2y=17

Nadusha1986 [10]

Well to be exact the answer is x=3 y=1

3 0

3 years ago

Read 2 more answers

−2∣5w−7∣+9=−7 What is the 2 answers for this question

loris [4]

The two possible answers are w = 3 and w = -1/5

These answers can be obtained through solving to the absolute value symbols.

−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
−2∣5w−7∣= -16 ---> divide both sides by -2
∣5w−7∣= 8

Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.

5w - 7 = 8
5w = 15
w = 3

AND

5w - 7 = -8
5w = -1
w = -1/5

5 0

3 years ago

Fill in Sin, Cos, and tan ratio for angle x. Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

Kirkwood lies between St.lous and rolla

Norma-Jean [14]

What is the question supposed to be?

5 0

3 years ago

In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa

mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

8 0

3 years ago