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Harlamova29_29 [7]
3 years ago
12

Which equation matches y = 2x + 3

Mathematics
1 answer:
balandron [24]3 years ago
6 0
Answer: C
The total height of a 3 inch tree after it grows 2 inches per month
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The values in the table below represent Function B, which is a linear function.
yan [13]
<h3>1. Compare Functions B and L by determining which one has the greater rate of change.</h3>

The rate of change is expressed as the ratio between a change in one variable relative to a corresponding change in another. On the other hand, a linear function is given as the form:

y=mx+b

And m is the rate of change we are looking for. For Function B we have a Table and the slope can be found by choosing two points, therefore:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Choosing \ (1,5) \ and \ (3,11) \\ \\ m=\frac{11-5}{3-1}=3

As you can see y=6x+4 has a rate of change of 6 while the function of the table has a rate of change of 3.

<em> In conclusion,</em> y=6x+4 <em>has the greater rate of change</em>

<h3>2. which one has a greater y-intercept?</h3>

We need to get the equation that rules the points given on the table. Two-Point Form of the Equation of a Line is:

y-y_{1}=m(x-x_{1}) \\ \\ We \ know \ m=3 \\ \\ y-5=3(x-1) \therefore y-5=3x-3 \therefore y=3x+2

As you can see y=6x+4 has a y-intercept of b=4 while the function of the table has a y-intercept of b=2

<em> In conclusion,</em> y=6x+4 <em>also has the greater y-intercept</em>

6 0
4 years ago
Solve for the roots in simplest form by completing the square <br> 6x^2+120x+2070=0
Kitty [74]

Answer:

Step-by-step explanation:

First, we can divide out the common factor, 6

6x^2 + 120x + 2070 = 0\\x^2 + 20x + 345 = 0\\

Now we complete the square

(x^2 + 20x + (\frac{20}{2})^2) + 345 - (\frac{20}{2})^2\\(x^2 + 20x + 100) + 345 - 100\\(x+10)^2 + 245\\

(x+10)^2 = -245\\x + 10 = \sqrt{-245}\\x = i\sqrt{245}  - 10\\x = -10 \pm i\sqrt{245}

8 0
3 years ago
Write the equation of the line that is parallel to the y-axis and passes through the point (-7, 2)QUICKEST=BRAINLIEST AND 30 Poi
Papessa [141]

x + 7 = 0

^^ LMK if you need an explanation

~theLocoCoco

6 0
3 years ago
Read 2 more answers
720 equal how many tens
zalisa [80]
The answer is 72 because 720 divided by 10 is 72.
5 0
3 years ago
Read 2 more answers
Demitri's parents begin saving for his college fund when Demitri is 10 years old. They invest $5,000 in an account that earns 1.
qaws [65]

Answer:

yes

Step-by-step explanation:

A = P(1 + r)^t

A = total amount

P = principal

r = interest rate, as a decimal

t = time, in years

A = 5000·[(1 + .012)^8]

A = 5000(1.1001)

A = 5,500.65

amount of investment after 8 years = $5,500.65

two years of community college = $5,400

3 0
3 years ago
Read 2 more answers
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