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pentagon [3]
3 years ago
8

Write the equation in slope-intercept form (y=mx + b) for a line with a slope of 2/3 and a y-intercept of -5.

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0
Y=mx+b
b= y-intercept
-5=2/3x+b
answer: y=2/3x-5
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X+2y=12 <br> 3x-10y = 0<br><br> y=?<br> x=?
sergeinik [125]
~~x+2y=12  \\  ~~3x-10y=0 \\&#10;~------ \\~ -3/x+2y=12 \\  ~~~~~~3x-10y=0 \\ ------- \\ -3x-6y=-36 \\ ~~~~3x-10y=0 \\ +------- \\ ~~~~-16y=-36 \\ \\  ~~~~y= \frac{36}{16}\rightarrow \boxed{\frac{9}{4}} \\  \\
x+2. \frac{9}{4}  =12 \\  \\ x+ \frac{18}{4} =12 \\  \\  \frac{4x+18}{4} =12 \\  \\ 4x+18=48 \\ 4x=30 \\  \\ x=\boxed{\frac{15}{2}}
3 0
2 years ago
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I need help pls thank you and I'll send better pics
kakasveta [241]
\begin{gathered} c)\text{ output = (input}\times\text{ input) }+\text{ 1} \\ d)\text{ output = input + 5} \end{gathered}

Explanation:

\begin{gathered} c)\text{ Change in input = 4 - 3 , 3 - 2, 2 -1 } \\ \text{change in input = 1 (it is constant )} \\ \text{The output depends on the input.} \end{gathered}\begin{gathered} To\text{ get output 2: (1 }\times1\text{ )+ 1 = 1 +1 = 2} \\ To\text{ get output 5: (2}\times2)\text{ + 1 = 4 + 1 = 5} \\ To\text{ get output 10: (3}\times3)\text{ + 1 = 9 + 1 = 10} \\ To\text{ get output 17: (4}\times4)\text{ + 1 = 16 + 1 = 17} \\ To\text{ get output 26: (5}\times5)\text{ + 1 = 25 + 1 = 26} \end{gathered}\begin{gathered} \text{Formula for the Process = (input}\times\text{ input) }+\text{ 1} \\ Process=(input)^2\text{ }+\text{ 1} \\ \text{output = (input}\times\text{ input) }+\text{ 1} \end{gathered}

\begin{gathered} d)\text{ rate of change = }\frac{change\text{ in output }}{\text{change in input}} \\ \text{rate of change = }\frac{-5-(-15)}{0-(-2)}\text{ = }\frac{10-(-5)}{3-0}\text{ = }\frac{15-10}{4-3} \\ \text{rate of change = }\frac{10}{2}\text{ = }\frac{15}{3}=\frac{5}{1} \\ \text{rate of change = 5} \end{gathered}\text{output = input + 5}

5 0
10 months ago
If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g0h)(5)?
notsponge [240]

Answer:

A

Step-by-step explanation:

I honestly couldn't tell you how to do this, I don't understand it. I just took the test and got this question correct. The answer is A, (5-7)^2.

6 0
2 years ago
Lengths of newborn girls are normally distributed with a mean of 49.2 cm and a standard deviation of 1.8 centimeters. Consider a
Elza [17]
The answer is <span>1683.

Hope this helps.</span>
3 0
2 years ago
Help me plzzzzzzzzz!!!!!!!!!!!!!!!!!!
Anvisha [2.4K]

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = \frac{p x_{2}+q x_{1}}{p+q}

y = \frac{p y_{2}+q y_{1}}{p+q}

From the question

x_{1} = 2

x_{2} = ?

x = 4

y_{1} = -1

y_{2} = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = \frac{p x_{2}+q x_{1}}{p+q}

4 = \frac{1(x_{2})+4(2) }{1+4}

4 = \frac{x_{2}+8}{5}

x_{2} + 8 = 20

x_{2} = 12

Also

y = \frac{p y_{2}+q y_{1}}{p+q}

1 = \frac{y_{2}+4(-1)}{5}

y_{2} - 4 = 5

y_{2} = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

5 0
3 years ago
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