Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Answer:
A) is your answer
Step-by-step explanation:
Multiply the 2x by 9x
then you take the second variable in the second equation and mulitply it by 9x. giving you 98 x squared
THEN you take 9x times Negative 3 and get -87
AND NEGATIVE 5 TIMES NEGATIVE 3 IS
POSTIVE 15
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x
460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100
answer is 7 months
Answer:
Many of the chemicals in these products are known as Volatile Organic Compounds . These chemicals off-gas into the air that we breathe which exacerbates respiratory conditions and in some cases can be deadly.
Step-by-step explanation:
hope it helps u!
The quilt would be 1.13 yards wide
