1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.
2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14
Therefore, the oldest age Catie's brother can be is 14 years old.
3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11
The youngest age Julio can be is 11 years old.
The rule for secants tells you
EC·ED = EB·EA
(x+4)(x+5) = (x+1)(x+12)
9x+20 = 13x+12 . . . . . . simplify, subtract x²
8 = 4x . . . . . . . . . . . . . . add -12-9x
2 = x
The value of x is 2.
Answer:
Step-by-step explanation:
![\text{Use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\sqrt{x+3}=\sqrt[2]{x+3}=(x+3)^\frac{1}{2}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%20a%5E%5Cfrac%7B1%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5C%5C%5C%5C%5Csqrt%7Bx%2B3%7D%3D%5Csqrt%5B2%5D%7Bx%2B3%7D%3D%28x%2B3%29%5E%5Cfrac%7B1%7D%7B2%7D)
- <em>The graph of f is a polynomial function</em>
- <em>There are two turning points, namely, x = 0 and x = -2</em>
<h2>
Explanation:</h2>
A polynomial function in one variable is given by the form:
Since you haven't provided any expression, I'll choose the following function:
So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:
Conclusion:
- <em>The graph of f is a polynomial function</em>
- <em>There are two turning points, namely, x = 0 and x = -2</em>
<em />
<h2>
Learn more:</h2>
Polynomial function: brainly.com/question/13729121
#LearnWithBrainly
Answer: strong positive correlafion between data plan size 'x' and number of text messages sent 'y'
Step-by-step explanation:
'R' in statistics is used to denote correlation Coefficient. The correlation Coefficient is a value which ranges between -1 to +1. It tells us the level of relationship or correlation which exists between the relative movement of two variables, in this case the relationship between data plan size and the number of text messages sent in the US. R value of 0 depicts that no relationship exists between the two variables, R value closer the R value is to +1 and - 1 depicts the strength of positive and negative correlation of the two variables respectively.
A R value of +0.97 in the context above, depicts a strong positive correlation between data plan size and number of text messages sent in the US. That is large data size usually corresponds to large number of text messages and vice versa.
