A delivery truck drove 203 mi in 3.5 h. After unloading and loading new cargo, it traveled on another 243 mi for 4.5 h. What was the average speed of the truck over its entire route? Round to the nearest hundredth, if necessary. 1. 55.75 mi/h
2. 56.00 mi/h
3. 58.00 mi/h PLZ HURRY!!
4. 63.70 mi/h

I can help you with graphing quadratics in intercept form. Here's a step-by-step guide:

Step 1: Identify the intercepts

The intercepts are the points where the parabola crosses the x-axis and y-axis. In intercept form, the x-intercepts are given by the factors of the quadratic expression. For example, in the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y.

Step 2: Find the vertex

The vertex is the point where the parabola reaches its maximum or minimum value. The x-coordinate of the vertex is the average of the x-intercepts. In the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6, so the x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute the x-coordinate into the equation and solve for y.

Step 3: Plot the intercepts and vertex

Mark the intercepts and vertex on the coordinate plane.

Step 4: Sketch the parabola

Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.

Example:

Let's graph the equation f(x) = 2(x+4)(x+6).

Step 1: Identify the intercepts

The x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y:

f(0) = 2(0+4)(0+6) = 48

So the y-intercept is (0, 48).

Step 2: Find the vertex

The x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute x = -5 into the equation:

f(-5) = 2(-5+4)(-5+6) = 2

So the vertex is (-5, 2).

Step 3: Plot the intercepts and vertex

Plot the intercepts (-4, 0), (-6, 0), and (0, 48), and the vertex (-5, 2) on the coordinate plane.

Step 4: Sketch the parabola

Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.

The graph of the equation f(x) = 2(x+4)(x+6) is a parabola that opens upwards and has intercepts at (-4, 0), (-6, 0), and (0, 48). The vertex of the parabola is at (-5, 2).

Answer: 13 cookies

Step-by-step explanation: 13 divided by 2 is 6 with a remainder of 1. 13 divided by 3 is 4 with a remainder of 1. 13 divided by 4 is 3 with a remainder of 1.

Answer:

B

Step-by-step explanation:

Divide each option by 4.

13/4= 3.25

.25 x 4 =1(whole cookie)

Answer: 4

Explanation:

1) Find the divisors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 20, 30, 40, 60, and 120.

2) Choose combinations of even numbers for the rows and odd number for the columns:

row ------ column

8 ---------- 15 ----- ↔ 8 × 15 = 120

24 -------- 5 ------ ↔ 24 × 5 = 120

40 -------- 3 ------ ↔ 40 × 3 = 120

120 ------ 1 -------- ↔ 120 × 1 = 120

Those are the only arrangements with an even number of rows and odd number of columns: 4 in total.

The estimated number of bass in the lake is 1704 bass if the researchers caught, marked, and released 213 basses. Later, they took a sample of 104 basses and found that 13 were marked option third 1704 is correct.

What are population and sample?

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

In City Lake, researchers caught, marked, and released 213 basses. Later, they took a sample of 104 basses and found that 13 were marked.

Proportion = 104/13 = 8

This means 1 marked fish in every 8 fish

The number of basses in the lake = 8×213 = 1704 bass

Thus, the estimated number of bass in the lake is 1704 bass if the researchers caught, marked, and released 213 basses. Later, they took a sample of 104 basses and found that 13 were marked option third 1704 is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

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