Answer:
Step-by-step explanation:
they are opposite angles, so we put them equal to each other.
25.
6a+10= 130
6a=120 a=20 so now we plug it in 6(20) +10= 130
26. 4a-4=2a+30
2a=34 a=17 sso now we plug in 4(17)-4= 64 2(17)+30= 64
27. 6y+1=4y+9 2x-5=x+7
2y=8 x=2
y=4
now plug in 6(4)+1=25 4(4)+9=25 2(2)-5= -1 (2)+7=9
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.<span><span>(<span><span>−∞</span>,∞</span>)</span><span><span>-∞</span>,∞</span></span><span><span>{<span>x|x∈R</span>}</span><span>x|x∈ℝ</span></span>Find the magnitude of the trig term <span><span>sin<span>(x)</span></span><span>sinx</span></span> by taking the absolute value of the coefficient.<span>11</span>The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.<span><span>y=<span>−1</span></span><span>y=<span>-1</span></span></span>The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.<span><span>y=1</span><span>y=1</span></span>The range is <span><span><span>−1</span>≤y≤1</span><span><span>-1</span>≤y≤1</span></span>.<span><span>[<span><span>−1</span>,1</span>]</span><span><span>-1</span>,1</span></span><span><span>{<span>y|<span>−1</span>≤y≤1</span>}</span><span>y|<span>-1</span>≤y≤1</span></span>Determine the domain and range.Domain: <span><span><span>(<span><span>−∞</span>,∞</span>)</span>,<span>{<span>x|x∈R</span>}</span></span><span><span><span>-∞</span>,∞</span>,<span>x|x∈ℝ</span></span></span>Range: <span><span>[<span><span>−1</span>,1</span>]</span>,<span>{<span>y|<span>−1</span>≤y≤1</span><span>}
</span></span></span>
Answer:
8 - 5x = -4
x = 12/5 (Decimal: x = 2.4)
<span>The graph of the function h shown in the figure above is a curved line with maximum and minimum points at different places.
The values at which h has a local minimum are at points (-2,3) and (4,-5).
</span>The values at which all local minimum values of h are at points (-2,3) and (4,-5).<span>
</span>
