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Yakvenalex [24]
3 years ago
5

- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y

= x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?​
Mathematics
2 answers:
rusak2 [61]3 years ago
6 0

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

Arisa [49]3 years ago
3 0

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

 

(b) The possible numbers are 8.45 to 8.49, inclusively

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RoseWind [281]
<span>f(x)= x³-x²-9x+9 has x², so it will be many to one function ( one value of y will correspond several values of x).

Answer is B.</span>

6 0
3 years ago
There are 8 circles and 20 triangles. What is the simplest ratio of circles to total shapes?
liubo4ka [24]

Answer:

8:20

Step-by-step explanation:

6 0
3 years ago
In a one-tail test, the p-value is found to be equal to .068. If the test had been two-tail, the p-value would have been
devlian [24]

Answer:

The p-value for two-tailed test is 0.136

Step-by-step explanation:

Given;

one-tail test, p-value = 0.068,

In one-tailed test, we test for the possibility of a relationship in one direction and completely disregard the possibility of a relationship in the other direction.

One-tail test provides possibility of an outcome in one direction, while

two-tail test provides possibility of an outcome in two different directions.

Thus, the p-value for two-tailed test = 2 x 0.068 = 0.136

3 0
2 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
Estimate 5.9* 3.4 find the answer please help
zvonat [6]
Since it says ESTIMATE:
round 5.9  to 6 and 3.4 to 3
6* 3 = 18
The estimate would be LETTER C 18
4 0
2 years ago
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