Answer:
=17
Step-by-step explanation:
We need the slope and the y-intercept to find the equation of the linear model.
This line goes through (0,28) and (1,26), so the slope is
\frac{26 - 28}{1} = -2
1
26−28
=−2
The equation that best describes this model is
\widehat{y} = -2x + 28
y
=−2x+28
Plug in x = 5.5 in the above equation to get
\widehat{y}
y
=−2x+28
=(−2)(5.5)+28
=−11+28
=17
Based on this equation, the date in April her flowers will bloom if the average temperature in March is
(X^2-4x-9x+36)
= x^2-13x+36
Answer: $10
Step-by-step explanation:
Assume the price of the phone case is x.
Assume the price of the charging cord is y.
Discounted price for phone case : 15% * x
= 0.15x
Discounted price for charging cord = 0.15y
Expression is therefore:
0.15x + 0.15y = 4.20
0.15 * 18 + 0.15y = 4.20
2.7 + 0.15y = 4.20
0.15y = 4.2 - 2.7
y = 1.5/0.15
y = $10
9514 1404 393
Answer:
a) 7(3x +7)
b) y(3y -1)
c) 4x^2(2 +x)
d) 2s^2t^2(12s +5t^2)
Step-by-step explanation:
These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.
__
a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...
7(3x +7)
__
b) y is the only factor common to both terms.
y(3y -1)
__
c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.
4x^2(2 +x)
__
d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.
2s^2t^2(12s +5t^2)