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kykrilka [37]
2 years ago
13

Find the y and x-intercept for -x+3y+3

Mathematics
2 answers:
Darya [45]2 years ago
6 0
-x+3y+3=0 <-- This puts the expression into an equation to make it solvable.
3y+3=x  <-- Use Addition Property of Exponents to move the (x) to the right
3y=x-3 <-- Use Subtraction Property of Exponents to move the (3) to the right
y=\frac{1}{3}-1 <-- Use Division Property of Exponents to remove the 3 from y
y=\frac{1}{3}-1 < This is the equation for the y-intercept

-x+3y+3=0 <-- Same as above, makes it so the expression is an equation to solve
-x+3=-3y <-- Use Subtraction Property of Exponents to move the 3y to the right
-x=-3y-3 <-- Use Subtraction Property of Exponents to move the 3 to the right
x=3y+3 <--Use Divison Property of Exponents to remove the -1 from x
x=3y+3 <-- This is the equation for the x-intercept

Hope this helped!


11111nata11111 [884]2 years ago
5 0
Use y=mx+b
M=Slope
X= Point on x-axis
And y= point in y-axis
So ....... y is 3 x is -1
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Tell whether the product SR is defined for S4×5 and R4×3 . If yes, give the product's dimensions as the following example: 4x3.
Rufina [12.5K]
No, the product is not valid. The number of columns of \mathbf S (five) should match the number of rows of \mathbf R (four).
8 0
2 years ago
Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0
3 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
Read 2 more answers
Please give the the answer and dont send a file
Dahasolnce [82]

Answer:

-117

Step-by-step explanation:

x = 106 x 4 - (99+120+103+111+108)

x = 424 - 541

x = -117

Hope that helps!

7 0
3 years ago
Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.
Alex787 [66]

Answer:

(1,-1)

Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

6 0
3 years ago
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