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3 years ago

Regroup hundreds as Tens: 8 hundreds 9 tens =

Mathematics

1 answer:

Lilit [14]3 years ago

7 0

89 tens because 8 x10 is 80 add the 9
89

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Write the equation in function form<br> 6y - 4x = 24

k0ka [10]

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6 (divide both sides by 6)

y = 4 + (2/3)x (simplify)

y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")

f(x) = (2/3)x + 4 (replace y with f(x))

6 0

2 years ago

Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?

Lesechka [4]

$(1+2x+3x^3)^{10}$

The only possible configurations of terms that contribute to generating the $x^4$ term in the expansion are given by the multinomial theorem to be

$\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4$

where

$\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}$

Simplifying a bit gives a coefficient of

$\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)$
$16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}$
$16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}$
$16(5\times3\times2\times7)+6(10\times9)=3900$

3 0

3 years ago

Pentagon G was dilated from the origin by a scale factor of one half to create Pentagon G′. Which statement explains why the pen

Sergio [31]

Answer:

the answer is Dilations preserve betweenness of points; therefore, the corresponding sides of pentagons G and G′ are proportional.

Step-by-step explanation:

i took the test and got it right

8 0

2 years ago

While driving on the highway, Fiona averages 60 miles per hour. In the city, she averages 30 miles per hour. On a trip to her gr

Vlad [161]

$((312 \div (312 + 112)) \times 60mph) + \\ ( (112 \div (312 + 112)) \times 30mph) \\ = 52.1mph(3 \: s.f.)$

7 0

3 years ago

A certain disease has an incidence rate of 0.1%. If the false negative rate is 4% and the false positive rate is

Alexus [3.1K]

Answer:

probability of the personal information on the direction of the personal information to my house

3 0

1 year ago