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2 years ago

What are some solutions of 2x+y=−12

Mathematics

1 answer:

kati45 [8]2 years ago

4 0

Answer:

x= −1/2y−6 y=−2x−12

Step-by-step explanation:

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F(x)= -2(x-5)^2+8

geniusboy [140]

I don’t know all of it but....
Axis of symmetry is x=5
Vertex changed to (5,8)
Parabola opens down

4 0

3 years ago

Suppose f (x) = x^2. Find the graph of f(x+2)

NISA [10]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind,

$\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}$

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).

8 0

2 years ago

How is a finance charge calculated

GuDViN [60]

Answer:

option A. Multiply the unpaid balance by the monthly interest rate

Step-by-step explanation:

Finance charges are the monthly service fee charged by lender on the credit used by borrower if they wish to skip the payment of monthly bill and carry forward it to next month.

So, we can calculate finance charges as monthly interest accrued on the unpaid balance.

Finance charges = Unpaid balance x Monthly interest rate.

Hence, option A is correct, i.e. Multiply the unpaid balance by the monthly interest rate.

6 0

3 years ago

Which would be the right one????

Mademuasel [1]

B would be the right one

6 0

3 years ago

Drag each tile to the correct box.

levacccp [35]

Answer:

15 - 7 (Parentheses)
3² (Exponents)
8 × 2 (Multiplication)
40 ÷ 8 (Division)
5 + 9 (Addition starting from the leftmost)
14 + 16 (Addition after the first addition operation)

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

8 0

2 years ago