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lutik1710 [3]
2 years ago
10

Slope for y=2x+3 and y intercept

Mathematics
1 answer:
Tpy6a [65]2 years ago
8 0

Answer:

slope = 2, y-intercept = 3

Step-by-step explanation:

» <u>Concepts</u>

All straight lines can follow the slope-intercept form, y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. The slope is the constant rate of change, and the y-intercept is where the line intersects at the y-axis.

» <u>Application</u>

We are asked to find the slope and y-intercept of the equation, y = 2x +3, given the form y = mx + b. As you can see, in the place of m (the slope), there is the number 2, making the slope 2. Then, in the place of b (the y-intercept), there is the number 3, making the y-intercept 3.

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In Lesson 3.05 we discussed comparing the key features of two functions given in different forms. Given the functions below:
vladimir1956 [14]

Answer:


Step-by-step explanation:

a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

The  functions f(x) and g(x) are different, the y-intercepts  for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts  (0,0) for g(x) as shown on the graph.



b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.

The  functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is   x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0



8 0
3 years ago
Find the exact solution to the equation. <img src="https://tex.z-dn.net/?f=log_%7B4%7D%20x%3D2" id="TexFormula1" title="log_{4}
Ilia_Sergeevich [38]

Answer:

x = 16

Step-by-step explanation:

log₄ˣ = 2

x = 4²

x = 16

8 0
3 years ago
Suppose that you begin saving up to buy a car by depositing a certain amount at the end of each month in a savings account which
SpyIntel [72]

Answer:

$2,221.6 monthly

Step-by-step explanation:

A = P(1 + r)^n

A is the total amount I intend to save = $15,000

r is the yearly interest rate = 3.6% = 0.036

n is the duration to achieve my goal = 4 and 1/2 years = 54 months

15,000 = P(1 + 0.036)^54

15,000 = P(1.036)^54

P = 15,000/6.752 = 2,221.6

I need to put $2,221.6 into the savings account monthly

6 0
3 years ago
Read 2 more answers
Describe the location of point (-3, -2, 3) in three-dimensional coordinate space.
Alja [10]

Answer:

The usual way to draw a 3-D grid can be seen below.

The positive z-axis points upwards

The positive y-axis points to the right

The positive x-axis points towards you, or to the front.

And the notation for a point in 3-D is (x, y, z)

In this case, our point is (-3, -2, 3)

Then the location of the point can be described as:

So the x-value is -3, which means that the point is 3 units behind the origin.

The y-value is -2, which means that the point is 2 units at the left of the origin

The z-value is 3, which means that the point is 3 units above the origin.

5 0
3 years ago
2 1/4 - 2/3. A. 1 3/7. B. 1 7/12. C 2 3/7. D 2 11/12
DedPeter [7]

Answer:

B.) 1\frac{7}{12}

Step-by-step explanation:

2\frac{1}{4} -\frac{2}{3} Then multiply 4 by 2, then add 1.frac{9}{4} - \frac{2}{3} \\

Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.

\frac{3}{3} *\frac{9}{4} - \frac{4}{4} * \frac{2}{3}

to get: \frac{27}{12} - \frac{8}{12}.

now the denominators is the same on both sides, just subtract the numerator.

27 - 8 = 19

Now simply: \frac{19}{12} = 1\frac{7}{12}.

Your final answer is 1\frac{7}{12}[/tex].

3 0
3 years ago
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