The number of hours it takes Elisabeth to read 3/4 of the book is; 5³/₅ hours
<h3>What are mixed numbers?</h3>
We are told that she reads 15 of her books in 112 hours.
Thus, number of hours to read one book is;
112/15 hours per book
Therefore, number of hours to read ³/₄ of the book is;
³/₄ * ¹¹²/₁₅ = 28/5
As a mixed number is 5³/₅ hours per book
Read more on mixed numbers at; brainly.com/question/10225
I'm going to take a stab at this hoping that I get it right! Looking at your graph, you see a hole at x = 3. That means that that is a removable discontinuity. This results from the factor (x-3) canceling out between the numerator and the denominator of the rational function. The other discontinuity is found at the vertical asymptote at x = -4, which in factorization form is (x+4). That means that the 2 factors in the denominator are (x-3) and (x+4). If you factor the numerator you see that the factors are (x-3)(x-1), hence the reason that there is a hole in the graph at x = 3. If you FOIL out (x-3)(x+4) you get
so a = 1 and b = -12. Again, I THINK that's correct...
Answer:
The missing length is 64
Step-by-step explanation:
In the given figure
∵ The triangle is a right triangle
∵ There is a line drawn from the right angle ⊥ to the hypotenuse
→ <em>There is a relation between the side of length 60, the part of the </em>
<em> length 36, and the length of the hypotenuse</em>
∵ The length of the hypotenuse = x + 36
∴ (60)² = 36 × (x + 36)
→ Multiply the bracket by 36
∴ 3600 = 36(x) + 36(36)
∴ 3600 = 36x + 1296
→ Subtract 1296 from both sides
∵ 3600 - 1296 = 36x + 1296 - 1296
∴ 2304 = 36x
→ Divide both sides by 36 to find x
∴ 64 = x
∴ The missing length is 64
Smallest x intercept is (-8,0)
Biggest x-intercept is (7,0)
Answer:
The mean of the data set =
Step-by-step explanation:
Please check the dot plot which is attached below.
As we know that we can determine mean from the dot plot by adding the numbers and then divide the resulting sum by the number of addends.
From the dot plot it is clear that:
So adding all the dots with respect to their values on the plot number by the total number of dots.
Thus
Mean = (1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6) ÷ 22
Hence, the mean of the data set =