We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option<span>
a = -5, opens down</span>
see the attached figure
Answer:
<u>15</u>
<u>2x</u>
Step-by-step explanation:
Answer:
The written form would be "Nine more than three times a number is greater than -18.
Step-by-step explanation:
To graph it, you must first solve for x.
3x + 9 > -18
3x > -27
x > -9
Now we can graph this by putting an open dot at -9 and then drawing an arrow to the right.
Answer:
Hence the 3.28 %or 2/61 of total work will be done .
Step-by-step explanation:
Given:
The pecan crops are harvested for friday and saturday (2days)
To find :
What fraction these 2 days corresponds to the harvesting days?
Solution;
The pecan crops are growing in America in state of Georgia
and consider that in months of October and November pecan crop becomes mature .
Hence the harvesting period is of 2 months considerably .
The month of October and November days are 31 and 30 .
Hence the Total days of harvesting are 61 days.
In these days total Pecan crops will be harvested.(100% work in 61 days)
Now the farmer harvest for 2 days only .
Required fraction=2/61
=0.0327869
=3.28%
Depending upon the crop field and planting answer will vary
But 3.28 % of total work will be done in 2 days on harvesting
Answer:
<u>Using below system of inequalities</u>
<u>Following the rules </u>
- 1. Finding x- and y - intercepts
- 2. Connecting with dotted line for each as no equal symbol present in any inequality
- 3. Shade respective regions
- 4. Solution is the intersection of the shades regions
- 5. Select any three points in the solution region
<u>Line 1</u>
- y > 2x - 3
- x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
- y - intercept: x = 0 ⇒ y = -3
- Shaded region is above the line (or to the left)
<u>Line 2</u>
- y < x + 1
- x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
- y - intercept: x = 0 ⇒ y = 1
- Shaded region is below the line (or to the right)
<u>Selected points are:</u>
