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4 years ago

Solve the inequality 2x + 8 < 5x − 4.

Mathematics

1 answer:

Alika [10]4 years ago

6 0

Answer:

x>4

Step-by-step explanation:

2x+8<5x-4

4+8<5x-2x

12<3x

4<x

x>4

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i am thinking of 2 numbers when i add my numbers the answer is 1 when i multiply my numbers the answer is 0.09 what is the numbe

Virty [35]

X + y = 1.....x = 1 - y
x * y = 0.09

y(1 - y) = 0.09
y - y^2 = 0.09....re-arrange
y^2 - y + 0.09 = 0
(y - 0.9)(y - 0.1) = 0

y - 0.9 = 0 x + y = 1
y = 0.9 x + 0.9 = 1
x = 0.1

y - 0.1 x + y = 1
y = 0.1 x + 0.1 = 1
x = 0.9

so ur 2 numbers are : 0.1 and 0.9

8 0

3 years ago

the bill for dinner came to $75.48. The four feiends decided to leave a $15.00 tip. If thwy share the bill equally, how much wil

zzz [600]

If I'm correct 22.62

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3 years ago

<img src="https://tex.z-dn.net/?f=24x%5E%7B2%7D%2Bbx%5E%7B2%7D%20%3D25x%5E%7B2%7D" id="TexFormula1" title="24x^{2}+bx^{2} =25x^{

Liula [17]

Answer:

x = 0

Step-by-step explanation:

Subtract 25x^2 from both sides

24x^2 + bx^2 - 25x^2 - 25x^2

Simplify

bx^2 - x^2 = 0

Factor bx^2 - x^2: x^2(b - 1)

bx^2 - x^2

Factor out common term x^2

= x^2 (b - 1)

x^2(b - 1) = 0

Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0

x^2 = 0

Apply rule x^n = 0 x = 0

x = 0

8 0

3 years ago

Find the slope of the line on the graph

Oksana_A [137]

The slope is 3/1, which can be simplified to 3. Find it by traveling up 3 points and over 1 point form one intersection point to the next.

5 0

3 years ago

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The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles

AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>

Undefined terms needed to define angles brainly.com/question/3717797
What is 270° converted to radians brainly.com/question/3161884
A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

4 0

3 years ago

Read 2 more answers