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shtirl [24]
3 years ago
12

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

y = 5x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)

m = \frac{9-4}{2-1} = \frac{5}{1} = 5 , then

y = 5x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (3, 14 ) , then

14 = 15 + c ⇒ c = 14 - 15 = - 1

y = 5x - 1 ← equation of line

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a drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water, how
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Answer:

On average, the workers dig 4.75ft each day. Also, what x and y questions?

Step-by-step explanation:

Take 38/8=4.75

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2 years ago
What is the coefficient of xy^2<br> in the expansion of (x+y)^3?
Basile [38]

Step-by-step explanation:

Using Binomial Expansion,

(x + y)³

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3 years ago
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254.469

Step-by-step explanation:

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3 years ago
Find the first five terms of the sequence given the following recursive formula:
forsale [732]

Answer:

The first five terms are;

-3,-7,11,-29,69

Step-by-step explanation:

The recursive definition of the sequence is

a_1=-3,, a_2=-7 and a_n=a_{n-2}-2a_{n-1}.

When n=3, we obtain;

a_3=a_{3-2}-2a_{3-1}.

\implies a_3=a_{1}-2a_{2}.

\implies a_3=-3-2(-7).

\implies a_3=11.

When n=4

\implies a_4=a_{2}-2a_{3}.

\implies a_4=-7-2(11)=-29.

When n=5

\implies a_5=a_{3}-2a_{4}.

\implies a_4=11-2(-29)=69.

Therefore the first five terms are;

-3,-7,11,-29,69

5 0
4 years ago
If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?​
vovangra [49]
<h2>VARIATION</h2>

\rm\large{Hi!!}

<h3>QUESTION:</h3>

  • If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?

<h3>ANSWER:</h3>

The givén problem is an ēxample of <u>Combinēd </u><u>Variation</u>. So the córrect equation for this problem is this:

  • y =  \frac{kx}{z}

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Hi, Im Daubechies, a Filipina user ≧▽≦

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