Answer:
e < -5
Step-by-step explanation:
5e + 4 < 3e - 6
Subtract 3e from the right side
2e + 4 < -6
Subtract 4 from the left side
2e < -10
Divide both sides by 2
e < -5
B. 12/18
Upon simplifying this fraction (taking a 3 out of the numerator and denominator), you end with 4/6
Answer:
Step-by-step explanation:
1.) Get the equation in the form y = ax^2 + bx + c.
2.) Calculate -b / 2a. This is the x-coordinate of the vertex.
3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
1.) y = -x^2 - 10x + 24
2.) -(-10) / 2(-1) = -5
3.) y = -(-5)^2 - 10(-5) + 24
y = -25 + 50 + 24
y = 49
Answer:

Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,
<u>Equation</u><u> </u><u>:</u><u>-</u><u> </u>
<u>In </u><u>general</u><u> </u><u>:</u><u>-</u><u> </u>
- If we have a logarithmic equation as ,
Then this can be written as ,
In a similar way we can write the given equation as ,
- Now also we know that
Therefore , the equation becomes ,
<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of </u><u>the</u><u> given</u><u> equation</u><u> is</u><u> </u><u>±</u><u>√</u><u>2</u><u>6</u><u>.</u>
Answer:
B. 523.33 cubic units
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) 5^3
V =523.3333333
V = 523.33 units^3