Given the arithmetic sequence an = 4 + 8(n − 1), what is the domain for n?

Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)

vova2212 [387]

Given:

The equation of a linear function is:

$y=-\dfrac{2}{3}x-1$

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

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

We have,

$y=-\dfrac{2}{3}x-1$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{2}{3}$

$b=-1$

Therefore, the y-intercept is -1 and the slope of the line is $-\dfrac{2}{3}$ .

It means the graph intersect the y-axis at point (0,-1) and having slope $-\dfrac{2}{3}$ . So, the graph of the equation is shown below.

4 0

2 years ago

600 pages in 5 days. On the first day 148 pages read and each day after that he read the same number of pages p write an equatio

mafiozo [28]

(600 - 148 ) / (divided) by 5 = Pages read per day after first day

4 0

2 years ago

Read 2 more answers

OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME I A

natka813 [3]

Answer:

3. The equivalent fractions are presented as follows;

$\dfrac{2}{3} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}$

4. The equivalent fractions are presented as follows;

$\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}$

5. The reason why it works is because $\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1}{4}$

Step-by-step explanation:

3. Based on the shaded region of the given figures, the two fractions are equivalent

Mathematically, we can show the equivalency of the two fractions as follows;

$\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{2}{3} \times \dfrac{2}{2} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}$

Therefore;

$\dfrac{2}{3} = \dfrac{2 \times 2}{3 \times 2} =\dfrac{4}{6}$

4. From the shaded region of the given figure, the fractions are equivalent

Mathematically, we have;

$\dfrac{2}{3} =\dfrac{2}{3} \times 1 = \dfrac{4}{4} \times \dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}$

Therefore;

$\dfrac{2}{3} = \dfrac{4 \times 2}{4 \times 3} =\dfrac{8}{12}$

5. The amount of salt required by the recipe = 1/4 teaspoon of salt

The measure of the spoon Jonas has = 1/8 teaspoon

When Jonas adds two 1/8 teaspoons, he gets;

$\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1 + 1}{8} = \dfrac{2}{8} = \dfrac{2 \times 1}{2 \times 4} = \dfrac{2}{2} \times \dfrac{1}{4} = 1 \times \dfrac{1}{4} = \dfrac{1}{4}$

Therefore;

$\dfrac{1}{8} + \dfrac{1}{8} = \dfrac{1}{4}$

Two 1/8 measuring teaspoons are equivalent to one 1/4 teaspoons and therefore Jonas is able to get the 1/4 teaspoons of salt the recipe asks for b combining two 1/8 measuring teaspoons of salt he has because 1/8 + 1/8 = 1/4.

6 0

2 years ago

A shopkeeper bird and electric item for rupees 1520 and sold it at 10% loss find the loss amount

Alex17521 [72]

Answer:

The answer is 152

Step-by-step explanation:

When you have a number in between 9999 and 1000 you can divide by 10 to get ten percent of the number

3 0

2 years ago

Read 2 more answers

The value pi/2 is a solution for the equation 2sin^2 x -sinx-1=0

nikklg [1K]

me so sorry come back laterAnswer:

Step-by-step explanation:me so sorry come back later

7 0

2 years ago