Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent
<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>
<u> Solution-</u>
The given function is,






Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.
Plotting the graph on desmos, the graph will be as in the attachment.
Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.
y = mx + b
y = 3x + b
-4 = 3(9) + b
Now, we can simplify by computing the multiplication on the right side of the equation.
-4 = 27 + b
Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:
-31 = b
Now, we should substitute this value for b back into our equation with the slope.
y = 3x - 31
Therefore, your answer is y = 3x - 31.
Hope this helps!
The right answer is C
Let me to explain. From the graph we know that the vertex of this parabola is
. This is a<em> maximum y-value.</em> We also know that the parabola <em>opens downward, </em>so the leading coefficient is negative. Given that the function is even and the leading coefficient is negative, it follows that the graph falls to the left and right. In a mathematical language this is:
<em> </em>