Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
Answer:
y ≤ ¼x + 1
Step-by-step explanation:
Starting from the y-intercept of course, use rise\run until you hit another endpoint [finding the <em>rate</em><em> </em><em>of change</em> (<em>slope</em>)]. That means me we go up <em>north</em><em> </em>one block, then go over four blocks <em>east</em><em>,</em><em> </em>and since the slope is already simplified, we do not need to go any further. Now all we have left is to determine the correct inequality symbol, and since we know that the bottom portion of the graph is shared, we automatically know it is <em>less</em><em> </em><em>than</em><em>,</em><em> </em>but to check this, we need to do what is called a <em>zero-interval</em><em> </em><em>test</em><em> </em>[do not recall the actual term], meaning that we plug in 0 for both <em>y</em><em> </em>and <em>x</em><em>,</em><em> </em>getting 0 < 1, which is a GENUINE statement, so the bottom portion stays shaded, otherwise we would have had to shade the top portion if it were a false statement. Finally, we have to determine if we have to add an equivalence line under the inequality symbol, and we DO because as you can see, the line is SOLID BLACK. If it were DASHED BLACK, then it would stay "<" instead of "≤".
I am joyous to assist you anytime.
The value of four are in the hundreds place
Answer: 14 7/8
Step-by-step
I put the 4 1/4 into an improper fraction then did keep change flip
Answer:
Image result for length of the segment
The length of this line segment is the distance between its endpoints A and B.
Step-by-step explanation:
