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2 years ago

I need help I put 30 points for whoever helps me

Mathematics

1 answer:

artcher [175]2 years ago

5 0

Answer:

$y=-x+1$

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be $\frac{-2}{2}=-1$ .

In slope-intercept form $y=mx+b$ , $m$ represents the slope of the line, $b$ represents the y-intercept, and $(x, y)$ represent the coordinates of any point the line passes through.

To find $b$ , substitute $m=-1$ and any point the line passes through.

Using (1, 0) from the table:

$0=-1(1)+b,\\0=-1+b,\\b=1$

Thus, the equation of this line is $\boxed{y=-x+1}$

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What is the slope of a line passing through (7, 6) and (9, 0)?

r-ruslan [8.4K]

Slope is equal to rise over run. For this question we use 0-6=-6 as the numerator and 9-7=2 as the denominator, thus the slope is -6/2=-3

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2 years ago

Who can help we with this ?, if you can please show the work

Svet_ta [14]

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3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

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2 years ago

Rewrite the following polynomial in standard form

blagie [28]

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

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2 years ago

What the answer now question

sergejj [24]

Answer:

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Step-by-step explanation:

Have a wonderful day and good luck on you're test!

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3 years ago