Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer:
D) When x=2, y=14
When x=4, y=28
Step-by-step explanation:
By using slope= y2-y1/x2-x1
I get (1,7) and (3,21) from the table
slope= 21-7/3-1= 14/2= 7
Then I plug in the values into y=mx+b
7= 7(1) +b
b= 0
Getting an equation of y=7x
When x= 2
y= 7(2)= 14
When x= 4
y= 7(4)= 28
Answer:
Line 1, y=-3, x=-3
Line 2, y=2, x=1 1/3
Step-by-step explanation:
8) there are 3 people and each pays 14.68
3•14.68= $ 44.04 was the entire meal
10) 15 oz that he drank+ 20oz that were left= 35 oz were originaly in the container
