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Advocard [28]
3 years ago
9

Confused on how to write the equation due to the graph having a point at (1,2).

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

The line passes through (1,2) and (4,4)

The equation,

\frac{y - y1}{x - x1}  =  \frac{y2 - y1}{x2 - x1}

\frac{y - 2}{x - 1}  =  \frac{4 - 2}{4 - 1}  =  \frac{2}{3}

3(y - 2) = 2(x - 1)

=  > 3y - 6 = 2x - 2

=  > 2x - 3y - 2 + 6 = 0

=  > 2x - 3y + 4 = 0

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7,861.


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This is an arrangement of data, usually in rows or column's.it is called___?
SashulF [63]

Answer:

Table

Step-by-step explanation:

A table is an arrangement of data in rows and columns, or possibly in a more complex structure.

7 0
3 years ago
Sarah has 5 peppermints. Chase has p fewer peppermints than Sarah. Write an expression that shows how many peppermints Chase has
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5-p i think? How many peppermints are there in actual?
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3 years ago
Fiona Follies is a small bakery that sells cupcakes and muffins. A cupcake sells for $3 and a muffin sells for $2. When all rela
Elan Coil [88]

Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.

Consider all remaining options:

B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.

C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.

E.  80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.

Answer: correct options are C and E.

4 0
3 years ago
Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
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