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MaRussiya [10]
2 years ago
11

What is the y-intercept of the function f(x) = –negative StartFraction 2 Over 9 EndFraction.x + ?

Mathematics
2 answers:
Luden [163]2 years ago
6 0

<em>The y-intercept is 1/3</em>

<h2>Explanation:</h2>

I'll assume the function is the following:

f(x)=-\frac{2}{9}x+\frac{1}{3}

As you can see, this is the equation of a line written in Slope-intercept form. The general rule of writing lines in this form is:

y=mx+b

Where m is the slope and b is the y-intercept, which is the point at which x=0. By comparing our function with the written rule, we can say that the y-intercept is:

\boxed{b=\frac{1}{3}}

<h2>Learn more:</h2>

y-intercept: brainly.com/question/13289288

#LearnWithBrainly

anzhelika [568]2 years ago
6 0

Answer:

b=\frac{1}{3}

Step-by-step explanation:

The given function is

f(x)=-\frac{2}{9}x +\frac{1}{3}

This given function is a linear function, because its variables have one as exponent, we can also say that its variables are linear.

This function, as a linear one, it's represented as a line.

Additionally, the form of this function is called slope-intercept form as

f(x)=mx+b

Where m is the slope and b is the y-intercept.

So, in this case

m=-\frac{2}{9} and b=\frac{1}{3}

Therefore, the y-intercept of the given function is

b=\frac{1}{3}

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Solve the following quadratic equations by any method. The solutions are:
Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below <u>quadratic </u><u>equation</u><u> </u>,

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Step 1 : <u>E</u><u>q</u><u>u</u><u>a</u><u>t</u><u>e</u><u> </u><u>f</u><u>(</u><u>x</u><u>)</u><u> </u><u>w</u><u>i</u><u>t</u><u>h</u><u> </u><u>0</u><u> </u><u>:</u><u>-</u>

\longrightarrow f(x) = 0\\

\longrightarrow x^2-12x + 32=0

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\longrightarrow x^2-8x - 4x +32=0\\

\longrightarrow x(x-8)-4(x-8)=0\\

\longrightarrow (x-8)(x-4)=0\\

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\longrightarrow x - 8 = 0\\ \qquad x -4=0

\longrightarrow x = 8 \qquad x = 4

\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}

<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>o</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>C</u><u> </u><u>i</u><u>s</u><u> </u><u>c</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u> </u><u>.</u>

8 0
2 years ago
While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What
r-ruslan [8.4K]
<span>We know I kilometer = 0.62 miles and 1 liter = 0.26 gallon. Therefore, 12.4 km/liter = 12.4 * 0.62 miles / 0.26 gallon = 29.56 miles/gallon or we can right as aprproximately 30 miles/gallon. Thus, 12.4 km/l corresponds to 30 miles/gallon.</span>
6 0
2 years ago
I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of tha
PtichkaEL [24]

Answer:

92

Step-by-step explanation:

We will list out the numbers which are factors of 12. They include:

1, 2, 3, 4, 6, 12.

We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.

To do this, we will write out the multiples of 4. They include:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.

We will have to choose the highest number which only 4  can divide and  6 and 12 cannot divide.

Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.

We will quickly see that 4 can divide 92 but 6 and 12 cannot.

This gives us 92 as the answer.

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2 years ago
20 ounce sodas cost 4 for $5. How much does each soda cost?
dolphi86 [110]
I think 1.99?
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3 years ago
Solution to this inequality <br> 12&lt;8+x
ra1l [238]

Answer:

x > 4 or 4<x

Step-by-step explanation:

12<8+x

You can rewrite it for easier look:

8+x>12

Suvtract 8 from both side:

8+x-8>12-8

0+x > 4

x > 4 or 4<x

Hope this help you :3

6 0
3 years ago
Read 2 more answers
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