9 × 5
B.
9 + 5
C.
9 + 9 + 9 + 9 + 9
D.
9 × 9 × 9 × 9 × 9
Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. The inequality that represents the given graph is . Thus option C is the correct option.
In the given graph a number line is represents the negative five to the positive five numbers.
Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. There is some signs which helps to represents these inequalities to represent on the mathematical form.
Sign "<" is used refer the less than amount, sign ">" is used refer the greater than amount, sign "" is used refer the less than or equalto amount and sign "" is used refer the greater than or equal to amount .
In the given graph a number line is shown with an open circle on point -1 and shaded the number which are grater than the number -1.
Thus we use the grater than sign for x. Now x can be any value which is greater than negative one hence we can represent the given graph with the inequality .
Hence the inequality that represents the given graph is . Thus option C is the correct option.
Learn more about the Graphing inequalities here;
Answer:
*Parabola that opens up
*y-intercept is 2
*x-intercepts are -1/3 and -2
*vertex is (-7/6 , -25/12)
Step-by-step explanation:
I will describe what this graph looks like.
First, the graph is quadratic because it is in the form ax² + bx + c. The function must be in the shape of a parabola. Parabolas look like a "U" shape.
Whether "a" is negative or positive represents of the parabola opens up or down. Since "3" is positive, the parabola opens up.
"c" represents the y-intercept. The y-intercept is when the graph touches the y-axis. The function must have a y-intercept of positive 2.
We can also find its x-intercepts, also called roots/zeroes, by substituting into the quadratic formula (Ignore the Â).
Using the form ax² + bx + c, we know:
a=3; b=7; c=2
Substitute into the formula.
Split the equation at the ± sign.
The graph has x-intercepts -2 and -1/3.
We can find the vertex of the graph. It is the part of the parabola that is the lowest (or highest, is it opens down).
Find the midpoint of the x-intercepts for the vertex x-coordinate:
(-1/3 - 2)/2 = (-1/3 - 6/3)/2 = (-7/3)*(1/2) = -7/6 = -1.167 = x
Substitute the vertex x-coordinate into the formula to find the "y" in vertex.
y=3x²+7x+2
y=3(-7/6)²+7(-7/6)+2
y= 147/36 + (-49/6) + 2
y= 147/36 + (-294/36) + 72/36
y= (147-294+72)/36
y = -75/36
y = -25/12 = -2.083
The vertex is (-7/6 , -25/12) OR about (-1.167, - 2.083).
The function represents a parabola. This is graphed by creating a series of (x,y) pairs and plotting them. The resultant shape is a parabola opening upwards.
The graph described by the function is a parabola as this is a quadratic function. To depict this graph, you plot specific points determined by varying the values of x and calculating the corresponding y values.
For instance, if x is 0, y would be 2 ( ), so (0,2) is one point on the graph. You continue this process with different x values to generate a series of (x,y) pairs, which you can then plot on a graph. Once you've plotted these points, you can connect them to see the graphical representation of the function.
In this case, you would get a parabola opening upwards since the coefficient of the term is positive.
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the amount of watermelon consumed was greater than 8 1/2 pounds.
To determine if the amount of watermelon consumed was less than or greater than 8 1/2 pounds, we need to find the total weight of the watermelons Mr. Hoya brought and then subtract the total amount consumed by the 153 people.
1. Find the total weight of the watermelons:
Total weight = 8 1/4 + 9 1/4 + 8 7/8 + 9 5/8 + 10 3/4
2. Convert all the fractions to a common denominator:
Total weight = (33/4) + (37/4) + (35/4) + (39/4) + (43/4)
3. Add the fractions:
Total weight = (33 + 37 + 35 + 39 + 43) / 4
4. Find the sum:
Total weight = 187 / 4
Now, we'll find the total amount consumed by 153 people:
Total amount consumed = 153 * 1/4
Now, we can compare the total amount consumed to 8 1/2 pounds:
8 1/2 = 17/2 = 34/4
Now, let's compare the values:
Total amount consumed = 153 * 1/4 = 153/4 ≈ 38.25
8 1/2 pounds = 34/4 = 8.5
The total amount consumed (38.25) is greater than 8 1/2 pounds (8.5). Therefore, the amount of watermelon consumed was greater than 8 1/2 pounds.
Learn more about fractions here
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If you don't understand I can send you a picture of the problem. :)