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brilliants [131]
3 years ago
7

How many solutions exist for the system of equations graphed below? 3 2 54 -3 -2 -1 1 1​

Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

Step-by-step explanation:

One solution if they intersect (which is the case), and zero if they are parallel and apart, and infinite if they are parallel and coincident, two lines piled on top of each other.

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How does the graph of f(x)=3lx+2l+4 relate to its parent function?
Sergeeva-Olga [200]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template above in mind, let's see this one

\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}


A=3, B=1,  shrunk by AB or 3 units, about 1/3
C=2,          horizontal shift by C/B or 2/1 or just 2, to the left
D=4,          vertical shift upwards of 4 units

check the picture below

7 0
3 years ago
The equation that has a graph with a slope of -5/2 and passes through (6,-6)
timama [110]
The answer is y=-5/2x+9 and the picture includes the equation and points. Hopefully, this helps.

5 0
3 years ago
“The sum of half a number and 12 is 6”
lianna [129]

<u>Solution</u> :

Let, the number be A

Given, A/2 + 12 = 6

⇒ (A + 24)/2 = 6

⇒ A + 24 = 12

⇒ A = 12 - 24

⇒ A = - 12

∴ the required number is (- 12). (Ans.)

7 0
3 years ago
Read 2 more answers
Can you help me on this
grigory [225]

Answer:

The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.

Step-by-step explanation:

For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.

There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.

7 0
2 years ago
How do I do this?? Please help!!!!
iris [78.8K]

Winston would need to sell 14 more hot dogs to earn $175

Step-by-step explanation:

The given is:

  • Winston earns $140 by selling 56 hot dogs
  • He is using the same rate for the cost of one hot dog
  • He want to earn $175

We need to find how many more hot dogs would Winston need to sell to earn $175

∵ The he sold 56 hot dogs for $140

- Find the price of each hot dog by dividing 140 by 56

∴ The price of each hot dog = 140 ÷ 56 = 2.5

∴ The price of each hot dog is $2.5

∵ He need to earn $175

∵ He sells all hot dogs by the same price

- Divide 175 by 2.5 to find the number of the hot dogs

∵ 175 ÷ 2.5 = 70

∴ He must sell 70 hot dogs to earn $175

∵ He already sold 56

- Subtract 56 from 70 to find how many more hot dogs he

   needs to sell

∵ 70 - 56 = 14

∴ He must sell another 14 hot dogs to earn that money

Winston would need to sell 14 more hot dogs to earn $175

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

4 0
3 years ago
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