Identify which shapes on the graph are congruent to shape I by performing these sequences of transformations on shape I: a 90° clockwise rotation about the origin and then a reflection across the x-axis a 90° counterclockwise rotation about the origin and then a reflection across the x-axis a 180° rotation about the origin and then a translation right 4 units

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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Plz really ned help on this really easy!! simplify: 4(5x + 12) Thank you all in advance!!!

Y=x^2+4x-5 what is the axis of symetry

Answers

Answer:

axis of symmetry: x= -2

Step-by-step explanation:

axis of symmetry = - (b/2a) ( a is the coefficent of x^2, b is that of x)

so a=1, b=4

- (b/2a) = - (4/2) = -2

3x+y=15 5x-4y=8

resolucion de sistema por el metodo de sustitucion

Answers

Answer:

x=4

y=3

Step-by-step explanation:

we have the following equations

3x+y=15 equation 1

5x-4y=8 equation 2

using equation 1 we have:

y=15-3x equation 3

using equation 3 in equation 2 we have:

5x-4(15-3x)=8

5x-4*15+4*3x =8

5x-60+12x = 8

17x=68

x=68/17

so we have x=4

finally in equation 3:

y = 15-3(4)

y = 15-12

y = 3

A system manager wanted to see if the percentage of spam in emails sent to a large corporation is 80%. Of 500 randomly chosen emails sent the corporation, 76.4% of them were spam.Population:

Answers

Answer:

employees of large corporation

Step-by-step explanation:

the sample was 500 but they are simply a representation of the population, being the all the people who are part of the company and receive emails.

Population: The entire set of emails sent to the large corporation.

Sample: The 500 randomly chosen emails used for the analysis.

Sample Percentage of Spam: 76.4%

Hypothesis Test: The system manager is testing whether the actual percentage of spam in the entire population of emails sent to the corporation is 80%.

Based on the provided information, it seems that the system manager conducted a sample analysis to compare the observed sample percentage of spam (76.4%) to the hypothesized population percentage (80%). The next steps would involve performing a statistical hypothesis test, such as a one-sample proportion test, to determine if the observed difference is statistically significant or if it could have occurred due to random chance.

Which function is the inverse of f(x) = -5x-42

Answers

Answer:

f'(x)=-(x+42)/5

Step-by-step explanation:

Rewrite f(x) as y:

y=-5x-42

Flip x and y and solve for y:

x=-5y-42

x+42=-5y

(x+42)/-5=y

So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)

RATIO HELP PLEASE1. mrs perry shares out 20 biscuits between gemma and zak in the ratio 1:4. how many biscuits do they both get?

2. mr castle shares out 80 marbles beween emily and asif in the ratio 7:1. how many marbles do they each get?

3. ms adams shares out 10 pencils between niamh and jack in the ratio 2:3. how many do they each get?

Answers

$1.\nx-how\ many\ biscuits\ has\ Gemma\n \nx+4x=20\ \ \ \Leftrightarrow\ \ \ 5x=20\ \ \ \Leftrightarrow\ \ \ x=4\ \ \ \Rightarrow\ \ \ 4x=16\n \nAns.\ Gemma\ has\ 4\ biscuits\ and\ Zak\ has\ 16\ biscuits.$

$2.\nx-how\ many\ marbles\ has\ Asif\n \n7x+x=80\ \ \ \Leftrightarrow\ \ \ 8x=80\ \ \ \Leftrightarrow\ \ \ x=10\ \ \ \Rightarrow\ \ \ 7x=70\n \nAns.\ Asif\ has\ 10\ marbles\ and\ Emily\ has\ 70\ marbles.$

$3.\n2x-how\ many\ pencils\ has\ Niamh\n \n2x+3x=10\ \ \ \Leftrightarrow\ \ \ 5x=10\ \ \ \Leftrightarrow\ \ \ x=2\ \ \ \Rightarrow\ \ \ 2x=4\ \ and\ \ 3x=6\n \nAns.\ Niamh\ has\ 4\ pencils\ and\ Jack\ has\ 6\ pencils.$

What is 4x times the power of 2 if x=1/8