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irina1246 [14]
2 years ago
7

5^2x+7=125^-x-1 pls answer soon i have deadline

Mathematics
2 answers:
Bad White [126]2 years ago
5 0
Your answer is
0.20983144, I’m not sure if this is correct but I hope this helps a bit :)
Mama L [17]2 years ago
3 0
I think the answer is 4.72
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What is the value of x in the <br> triangle?
Makovka662 [10]

Answer:

x = 75°

Step-by-step explanation:

Sum of angles in a triangle: 180°

So,

50°+55°+x=180°

105°+ x = 180°

Subtract 105° from both sides

x = 75°

8 0
2 years ago
Graph y = 3(x + 2)3 - 3 and describe the end behavior.
-BARSIC- [3]
1) The function is 3(x + 2)³ - 3

2) The end behaviour is the limits when x approaches +/- infinity.

3) Since the polynomial is of odd degree you can predict that the ends head off in opposite direction. The limits confirm that.

4) The limit when x approaches negative infinity is negative infinity, then the left end of the function heads off downward (toward - ∞).

5) The limit when x approaches positive infinity is positivie infinity, then the right end of the function heads off upward (toward + ∞).

6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.


7) x-intercepts ⇒ y = 0

⇒ <span>3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>

<span>⇒ (x + 2)³ = -1 ⇒ x + 2 =  1 ⇒ x = - 1
</span>

8) y-intercepts ⇒ x = 0

y = <span>3(x + 2)³ - 3 = 3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 = 21
</span><span>
</span><span>
</span><span>9) Critical points ⇒ first derivative = 0
</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒ x = - 2
</span><span>
</span><span>
</span><span>ii) second derivative: to determine where x = - 2  is a local maximum, a local  minimum, or an inflection point.
</span><span>
</span><span>
</span><span>y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.
</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an inflection point at x =  -2.
</span><span>
</span><span>
</span><span>Using all that information you can graph the function, and I attache the figure with the graph.
</span>


3 0
3 years ago
Two triangles have altitudes of equal length. if the areas of these triangles have a ratio of 3:4 then the bases of the triangle
MatroZZZ [7]
Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4

Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.
5 0
3 years ago
translate this into an expression: the quotient of a number, x, and 8, could you please explain it to me?​
Xelga [282]

Answer:

x/8

Step-by-step explanation:

First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.

The first number listed is x. Therefore, we have

x/something else.

Next, we are given "and 8", so we have x/8 as our expression

3 0
3 years ago
The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number
zhuklara [117]

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

<em>Let us revise some facts in a polygon</em>

  • The sum of the exterior angles of any polygon is 360°
  • At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
  • A regular polygon has equal angles and equal sides

<em>In our question </em>

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

   a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

   number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

5 0
2 years ago
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