Answer:
18
Step-by-step explanation:
sub in x = -7 into the equation
f(-7) = |-14-4| = |-18| = 18
Answer:
3(n-5)=2n+16
Step-by-step explanation:
3 lots of 'n' <em>and </em>5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)
3(5 - n)
16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have
2n + 16
if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.
3(n-5) = 2n+16
:)
Answer:
24m - 28
Step-by-step explanation:
Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;
A(B+C) = AB + AC [A is distributed over B and C]
For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;
(6m−7)⋅4 = 4(6m) - 4(7)
(6m−7)⋅4 = 24m - 28
Hence (6m−7)⋅4 = 24m - 28
Answer:
The required equation is 
Step-by-step explanation:
The equation of the given function can be written in the form
, where
is the slope and
is the y-intercept.
The given equation has a y-intercept of 
The straight line passes through
and
.
We calculate the slope using the formula,




We now substitute the slope and y-intercept into the above equation of the straight line to get,

This is the same as

Answer:
A and B
Step-by-step explanation:
Given


Required
Determine the appropriate combination
First, we need to determine the factors of 28 and 21


Next, is to bring out the similar traits in both factors


Represent both in terms of bag, we have:
1 bag of 28 nuts
7 bags of 4 nuts
1 bag of 21 dried fruits
7 bags of 3 dried fruits
This gives:
1 bag of 28 nuts and 1 bag of 21 dried fruits
7 bags of 4 nuts and 7 bags of 3 dried fruits
Hence:
<em>Option A and B are correct</em>