All categories

3 years ago

Which of the following is the graph of the equation y=2x+3?

Mathematics

1 answer:

wel3 years ago

4 0

Your pic don't have the answer.
But I can tell you the correct points are : (0, 3) (-1 1/2, 0)

You might be interested in

The freight is traveling at a constant speed the table below shows how far the train travels after different amounts of time com

Artist 52 [7]

Using the 2nd row it traveled 120 miles in 3 hours
so 120/3 = 40 miles per hour

so distance (d) = 40h

5 0

2 years ago

Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) us

hichkok12 [17]

Answer: You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1

-1 is the "x-value" of the vertex.

The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .

So, your coordinates for the vertex: ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.

5 0

3 years ago

What is the surface area of this design?

vichka [17]

Answer:

280in

Step-by-step explanation:

10×6=60

60×2=120

6×10=60

4×4=16

16×2=32

4×6=24

4×4=16

6×6=36

120+60+32+24+16+36=280

4 0

3 years ago

Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$