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2 years ago

Describe translation in words and write transformation notation

Mathematics

1 answer:

UNO [17]2 years ago

8 0

The translation was up 5 and to the left 8

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Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

worty [1.4K]

$5th \: row = 1 \: \: \: 5 \: \: \: 10 \: \: \: 10 \: \: \: 5 \: \: \: 1$

$(x - 4) {}^{5} = x {}^{5} + 5x {}^{4} ( - 4) {}^{1} + 10x {}^{3} ( - 4) {}^{2} + 10x {}^{2} ( - 4) {}^{3} + 5x( - 4) {}^{4} + ( - 4) {}^{5}$

$(x - 4) {}^{5} = x {}^{5} - 20x {}^{4} + 160x {}^{3} - 640x {}^{2} + 1280x - 1024$

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2 years ago

Bob Tina and Hadley went running. Bob ran for 3/8 hour, Tina ran for 3 4/9 hours, and Hadley ran for 4 19/29 hours. Which runnin

algol13

Answer: 3 4/9 and 4 19/29

Step-by-step explanation: Mixed fractions can be converted into improper fractions. Example: 3 1/2=

3×2+1= 7/2

So, 3 4/9= 3×9+4= 31/9

4 19/29= 4×29+19= 135/29

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

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3 years ago

Read 2 more answers

Find the domain over which the function y = x + 6x is monotonic increasing.

iragen [17]

Answer:

x > -3

$\sf (-3, \infty)$

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

<u>Vertex</u>

Standard form of quadratic equation: $\sf y=ax^2+bx+c$

$\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}$

Given function:

$\sf y=x^2+6x$

Therefore, x-value of function's vertex:

$\sf \implies x= -\dfrac{6}{2}=-3$

<u>Final Solution</u>

The function is increasing when x > -3

$\sf (-3, \infty)$

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2 years ago

Can you help me in this question?

Xelga [282]

Answer:

100+150DHS

Step-by-step explanation:

100 base and 150 is the rate per a day

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2 years ago

There are 4 red balls, 6 white balls and 3 green balls in a bag of one ball is drawn from the bag at random what is the probabil

Digiron [165]

Answer:7/13

Step-by-step explanation:

It would be 7 out of 13 you add all the balls up to get a total of 13 and out of those 13 seven are not white

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3 years ago