Which algebraic rule describes the transformation of rectangle RSTU to R'S'T'U'?

a machine takes 2.8 hours to make 9 parts .at that rate how many parts can the machine make in 28.0?

Naily [24]

90. Add the zero in front of the 9.

3 0

3 years ago

Points and their residual values are shown in the table. a 3-column table with 5 rows. the first column is labeled x with entrie

maksim [4K]

The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

<h3>What is residual value?</h3>

The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.

Points and their residual values are shown in the table. A 3-column table with 5 rows.

x 1, 2, 3, 4, 5.
y 2, 3.5, 5, 6.1, 8.
Residual Value -0.4, 0.7, -0.2, -0.6 0

The simple regression line can be represented as,

$\hat y=\alpha +\beta X+\hat e$

Here α is the constant, β is the slope and <em>e </em>is the residue.

The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.

Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

Learn more about the residual value here;

brainly.com/question/1168961

6 0

2 years ago

What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?

mestny [16]

The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4

8 0

3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic

zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Taking the points (1,40) and (2,55).

Slope = $\frac{55-40}{2-1}$

i.e. Slope = $\frac{15}{1}$

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation $y=mx+b$ ,

We have, $40=15\times 1+b$

i.e. $b=40-15$

i.e. b= 25

Thus, the equation of the linear function is $y=15x+25$ .

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, $y=15\times 0+25$ i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0

3 years ago

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