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3 years ago

Determine the equatiln of the graph and select the correct answer below.

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

Answer:

Step-by-step explanation:

okay, this is actually pretty easy because it just works with simple translations.

(x+a)^2 + b

if a is positive, the graph shifts left

if a is negative, the graph shifts right

if b is positive, the graph shifts up

if b is negative, the graph shifts down

so since the quadratic, is starts at the origin and is shift 3 to the left, and 2 up:

the equation is

(x+3)^2 + 2

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3 years ago

A common tub is 54 inches long. What could be its length in centimeters? (1 inch = 2.54 cm)

ddd [48]

Answer:

137.16 cm

Step-by-step explanation:

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5 0

3 years ago

Estimate the sum 7.36 + 9.47

arsen [322]

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

----------

16.83

4 0

3 years ago

A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,

Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

$People = 12$

$Selection =3$ (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$n = 12$

$r= 3$

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

$^{12}C_3 = \frac{12!}{(12 - 3)!3!}$

$^{12}C_3 = \frac{12!}{9!3!}$

$^{12}C_3 = \frac{12*11*10*9!}{9!3!}$

$^{12}C_3 = \frac{12*11*10}{3!}$

$^{12}C_3 = \frac{12*11*10}{3*2*1}$

$^{12}C_3 = \frac{12*11*10}{6}$

$^{12}C_3 = 2*11*10$

$^{12}C_3 = 220\ ways$

<em>There are 220 choices</em>

8 0

3 years ago

Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 102

Furkat [3]

Answer: A) is the right answer. $6.9\times10^{5}$

Step-by-step explanation:

Given product : $2.3\times10^{-3}\times3\times10^8$

To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.

$2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}$

Thus, the answer is $6.9\times10^{5}$ .

8 0

3 years ago

Determine the equatiln of the graph and select the correct answer below. ​

Determine the equatiln of the graph and select the correct answer below.