All categories

3 years ago

Please show your work :)

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.

y=mx+b
y=1/4x-5

2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1

Remember: in an ordered pair, x comes first then y.

Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9

6-(-)2/-2-9= - 4/11.

The slope of your next equation would be m= - 4/11

You might be interested in

The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer pop

vaieri [72.5K]

P=1253(1+0.03)^6
P=1,253×(1+0.03)^(6)
P=1,496.15

8 0

3 years ago

Jake wants to find out which can of pineapple is the best buy. He has a choice of four different-size cans. Which can has the lo

galina1969 [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Please Help! 30 POINTS! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1

ycow [4]

Answer:

(1) B

(2) D

Step-by-step explanation:

(1)

Let the quadratic function be:

$y = ax^{2} + bx + c$

For the point, (0,-1),

$y = ax^{2} + bx + c$

$-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1$

Then the equation is:

$y = ax^{2} + bx -1$

For the point (-1, -8) ,

$y = ax^{2} + bx -1$

$-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)$

For the point (1, 2) ,

$y = ax^{2} + bx -1$

$2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)$

Add the two equations and solve for a as follows:

$a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2$

Substitute a = -2 in (i) and solve for b as follows:

$a-b=-7\\-2-b=-7\\b=5$

Thus, the quadratic function is:

$f(x)=-2x^{2}+5x-1$

The correct option is (b).

(2)

The ordered pairs are:

(5, 7), (7, 11), (9, 14), (11, 18)

Represent them in an XY table as follows:

X : 5 | 7 | 9 | 11

Y : 7 | 11 | 14 | 18

Compute the difference between the Y values as follows:

Diff = 11 - 7 = 4

Diff = 14 - 11 = 3

Diff = 18 - 14 = 4

Now compute the difference between the Diff values:

d = 3 - 4 = -1

d = 4 - 3 = 1

Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.

The correct option is D.

8 0

3 years ago

-PLEASE ANSWER- An experiment was repeated a number of times and the following measurements were obtained:

gladu [14]

Answer:

Step-by-step explanation:

From the given data, it can be observed that there are two number that are abnormal and extremely different from others, 322 and 19. Eliminating these two numbers would reduce the error that can be generated.

Then to obtain the best single result from the measurements, find the mean of the other numbers.

i.e 52.3, 52.5, 52.2, 52.6

Mean = $\frac{52.3 + 52.5 + 52.2 + 52.6}{4}$