Answer:
a.) the effect of one independent variable depends on the levels of the second variable
Step-by-step explanation:
In regression, an interaction effect comes to play whenever the effect that an independent variable has on a dependent variable changes, as regards to value(s) of other independent variables( one or more variables). The variables that give interaction effect as a result of interaction with each other is reffered to as "interacting variables" For instance, in a research whereby how "Male gender versus female gender" and their " dieting B and dieting D" influence their " weight loss" There would be interaction effect in a situation where by a " female gender" that operate on " diet B" shed more weight compare with " male gender" that operate on " diet B". It should be noted that two variables are said to interact when the effect of one independent variable depends on the levels of the second variable
Q1. The answer is <span>(x – 14)(x + 14)
</span>
x² - 196 = x² - 14²
a² - b² = (a - b)(a + b)
a = x, b = 14
x² - 196 = x² - 14² = (x - 14)(x + 14)
Q2. The answer is (3x - 8)(3x + 8)
9x² - 64 = (3x)² - 8²
a² - b² = (a - b)(a + b)
a = 3x, b = 8
9x² - 64 = (3x)² - 8² = (3x - 8)(3x + 8)
Q3. The answer is (7x - 4)²
49x² - 56x + 16 = (7x)² - 2 * 7x * 4 + 4²
(a - b)² = a² - 2ab + b²
a = 7x, b = 4
49x² - 56x + 16 = (7x)² - 2 * 7x * 4 + 4² = (7x - 4)²
Answer:2.1
Step-by-step explanation:
\text{Draw a diagram:}
Draw a diagram:
D
E
F
e = 2.7
f = ?
49°
58°
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
\text{Find other angle:}
Find other angle:
\angle E=180-49-58=73^{\circ}
∠E=180−49−58=73
∘
D
E
F
e = 2.7
f = ?
49°
58°
73°
\frac{f}{\sin 49}=\frac{2.7}{\sin 73}
sin49
f
=
sin73
2.7
f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1
f=
sin73
2.7sin49
≈2.131≈2.1
The 3 is .3, or 3 tenths, because the 3 is in the tenths place
1)
i) Reflection about y axis i.e. x=0
ii) Horizontal shrink by scale factor 4
iii) vertical shift by 4 units up.
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2) f(x) passes through (1,-1) and (0,1)
So slope = (1+1)/(0-1) = -2
Using point slope form equation of f(x) is
y-1 = -2 (x-0) or y = -2x+1
g(x) passes through (0,-1) and (1,1)
Slope = (2/1) = 2
So using point slope form g(x) is
y-1=2x
Hence we find that y-1 = -2x is transformed into y-1 = 2x
i.e. there is a reflection of f(x) on the line y =1
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