Answer:
The answer is A. -7
Step-by-step explanation:
76 + 41 = 117
117 + 70 = 187
187- 7 = 180
Hope this helps
Answer:
17.7 = 18 (when rounded)
Step-by-step explanation:
160 divided by 9 = the amount of trucks.
Answer:
f(x) = -(x-3)^2 + 4
Step-by-step explanation:
(h; k) are the coordinates of the vertex.
On the graph are (3, 4), therefore we have:
f(x) = a(x-3)^2 + 4
We have the x- intercept (1,0) -> x=1; y=0.
Substitute them into the equation:
0 = a(1 - 3)^2 + 4
0 = a(-2)^2 + 4
4a + 4 = 0 | -4
4a = -4 |-4
a = -1
So, we have the answer:
f(x) = -(x-3)^2 + 4
Answer:
The age of the person who entered the room is 15
Step-by-step explanation:
We are given:
Ages of 5 people in a room are:
17, 16, 15, 17, 22
A person enters room, and then the mean age of 6 people is 17.
We need to find the age of person who entered the room.
The formula to calculate mean is: ![Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}](https://tex.z-dn.net/?f=Mean%3D%5Cfrac%7BSum%5C%3Aof%5C%3Aall%5C%3Adata%5C%3Avalues%7D%7BNumber%5C%3Aof%5C%3Adata%5C%3AValues%7D)
Now, in question we are given mean of 6 people that is 17
The age of 5 people are given while age of one person who enters the room is unknown.
Let age of person whose age is unknown= x
Now finding x using mean formula
![Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15](https://tex.z-dn.net/?f=Mean%3D%5Cfrac%7BSum%5C%3Aof%5C%3Aall%5C%3Adata%5C%3Avalues%7D%7BNumber%5C%3Aof%5C%3Adata%5C%3AValues%7D%5C%5C17%3D%5Cfrac%7B17%2B16%2B%2015%2B%2017%2B%2022%2Bx%7D%7B6%7D%5C%5C17%3D%5Cfrac%7B87%2Bx%7D%7B6%7D%5C%5C17%2A6%3D87%2Bx%5C%5C102%3D87%2Bx%5C%5Cx%3D102-87%5C%5Cx%3D15)
So, The value of x: x=15
Hence, the age of the person who entered the room is 15
Step-by-step explanation:
let width be "w"
given,length of rectangle is 3 units greater than its width
length= w+ 3
perimeter of rectangle= 2( l+ b)
= 2[( w+3)+ w]
= 2(w to the power of 2 + 3w)
= 2w to the power of 2 + 6w
is the answer