All categories

3 years ago

Write a rule for the linear function shown in the graph.

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 1 , − 2 )

Equation Form:

x = 1 , y = − 2

Step-by-step explanation:

Graph.

y = 3 x − 1

y = x + 1

y = − x − 1

y = x + 1

You might be interested in

Help me find domain? Please

dedylja [7]

This graph is that of a parabola, which in turn represents a quadratic (2nd order) equation, also a polynomial. The domain of any and all polynomial(s) is "the set of all real numbers," or (-infinity, infinity).

4 0

3 years ago

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

If a pair of standard dice are rolled, what is the probability that one of the dice will be a 3 and the other a 4?

eimsori [14]

Answer:

0.055

Step-by-step explanation:

file is attached with explanation

7 0

3 years ago

What is a ratio called with two equivalent measurements?

AleksandrR [38]

Ratio with two equivalent measurements would be 1

7 0

3 years ago

What is the leading coefficient that would be used for scientific notation of this number? (12,500,000,000)

SIZIF [17.4K]

Answer:

1.25 would be the leading coefficient

Step-by-step explanation:

Leading coefficients in scientific notation have to be more than 1, and less than 10. Therefore, 12.5 or 0.125 would not be correct answers as they do not fit the criteria. Only 1.25 would work as the leading coefficient.

4 0

3 years ago