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s344n2d4d5 [400]
2 years ago
15

These points are linear.

Mathematics
2 answers:
Oxana [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Pick any two points.

(2 ,7)  & (4, 13)

x₁  = 2  ; y₁ = 7    & x₂ = 4  ; y₂ = 13

Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\dfrac{13-7}{4-2}\\\\\\=\dfrac{6}{2}\\\\\\= 3

posledela2 years ago
4 0

Answer:

3

Step-by-step explanation:

Select an ordered pair: (2, 7)

Select another ordered pair: (6, 19)

slope = (difference in y)/(difference in x)

slope = (19 - 7)(6 - 2)

slope = 12/4

slope = 3

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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
Susan threw a softball 42 years on her first try and 51 1/3 yard on her second try. How much farther did she throw the softball
Andru [333]

Answer:

28 feet farther than 1st ball.

Step-by-step explanation:

We have been given that Susan threw a softball 42 yards on her first try and 51\frac{1}{3} yard on her second try.

To find second ball is how much farther from the 1st ball, we will subtract 42 yards from 51\frac{1}{3} yards.

\text{The second ball is farther from 1st ball}=51\frac{1}{3}\text{ yards}-42\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-42\text{ yards}

Let us have a common denominator.

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{42*3}{3}\text{ yards}  

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154-126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{28}{3}\text{ yards}

\text{1 yard}=3\text{ feet}

\frac{28}{3}\text{ yards}=\frac{28}{3}\times 3\text{ feet}

\frac{28}{3}\text{ yards}=28\text{ feet}

Therefore, Susan thrown the second ball 28 feet farther from the 1st ball.

7 0
3 years ago
Which number is NOT in the solution set of x + 8 &gt; 15?<br> A)6<br> B)8<br> C)10 <br> D•12
katovenus [111]

Good evening

Answer:

A) 6

Step-by-step explanation:

Firstly, the solution set to the inequality is : x > 7

Because, x + 8 > 15 ⇌ x > 15 - 8 ⇌ x > 7

Hence

The only number that is NOT in the solution set is 6

________________________________________

:)

8 0
3 years ago
Read 2 more answers
What is 3,482,000,000 in scientific notation?
Volgvan
3.482×10^9
Imagine the decimal at the end of the last 0 and move it 9 places to the left
5 0
3 years ago
Read 2 more answers
Y = 2x – 1<br><br> Please help
masya89 [10]
Positive 2 is your slope, (rise over run) if you have to graph it and -1 is your y-intercept
5 0
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