Use the FOIL (first, outside, inside, last) to expand the terms in the brackets.
(w - 7)(w + 4)
first: w × w = w²
outside: w × 4 = 4w
inside: -7 × w = -7w
last: -7 × 4 = -28
Now you add all the terms together to get:
w² + 4w - 7w - 28
This simplifies to give you:
w² - 3w - 28
Hope that helps! :)
Answer:
Z= 0.253
Z∝/2 = ± 1.96
Step-by-step explanation:
Formulate the null and alternative hypotheses as
H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test
Here ∝= 0.005
For alpha by 2 for a two tailed test Z∝/2 = ± 1.96
Standard deviation = s= 15
n= 10
The test statistic used here is
Z = x- x`/ s/√n
Z= 2058- 2046 / 15 / √10
Z= 0.253
Since the calculated value of Z= 0.253 falls in the critical region we reject the null hypothesis.
There is evidence at the 0.05 level that the doors are too short and unusable.
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
L has "x -3"
S has "x"
x + x - 3 = 17
2x -3 (+3) = 17 (+3)
2x = 20
2x/2 = 20/2
x = 10
Leona has x - 3, or 10 - 3, or 7 dollars
Skye has 10 dollars
hope this helps
Answer:
We get value of y: y = 2
Step-by-step explanation:
The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
We can find y using formula of finding slope of a line.
The formula is: 
We have 
and Slope = 3
Putting values and finding y
So, we get value of y: y = 2
