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3 years ago

Please help me solve this?

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

3 0

Answer:

$15x^4y^5z^2$

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

$3xy^4z^2\cdot 5x^2yx=(3\cdot 5)x^{1+2+1}y^{4+1}z^2=15x^4y^5z^2$

_____

Comment on the rule of exponents

You can see where the rule comes from when you consider that an exponent signifies repeated multiplication.

x² = x·x . . . . . . the 2 signifies that x is a factor 2 times

x³ = x·x·x . . . . the 3 signifies that x is a factor 3 times

The product of these is ...

(x²)(x³) = (x·x)(x·x·x) = x·x·x·x·x = x⁵ = x²⁺³

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If (x) = x+8 and g(x) = -4x-3, find (f+ g)(x).

Ede4ka [16]

Answer:

Answer=B

(f+g)(x)=-3x-5

Step-by-step explanation:

f(x)=x+8.

g(x)=-4x-3.

(f+g)(x) means f(x)+g(x),So

(x+8)+(-4x-3)

(add all same terms together)

=(x+(-4x))+(8+(-3))

=-3x+5

so,

(f+g)(x)=-3x+5

8 0

3 years ago

Which of the triangles are right triangles?

rewona [7]

Answer:

Number 1 is a right triangle

Number 2 is a right triangle

Number 3 is NOT a right triangle

Number 4 is NOT a right triangle

Step-by-step explanation:

Hope this helps :)

7 0

3 years ago

PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

diamong [38]

Q1. Look at the picture.

$C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4$

Q2. Look at the picture.

$A.\ 4-t$

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

$3(2)+y=5$

$6+y=5$ subtract 6 from both sides

$y=-1\\\\F.\ -1$

Q4.

$\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right$

Substitute (*) to (**):

$2m+3(3m-11)=0$ use distributive property

$2m+(3)(3m)+(3)(-11)=0$

$2m+9m-33=0$ add 33 to both sides

$11m=33$ divide both sides by 11

$m=3$

Put the value of m to (*):

$n=3(3)-11\\\\n=9-11\\\\n=-2$

$C. (3,\ -2)$

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

$w+3w=24$

$4w=24$ divide both sides by 4

$w=6\ in$

$3w=3(6)=18\ in$

$J.\ 18\ inches$

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B49%7D%7B81%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \frac{49}{81

NNADVOKAT [17]

7/9 and 0.7 one is points and one is a fraction

7 0

3 years ago

Read 2 more answers

Marcus painted 1/3 of his bedroom in 4/5 of an hour. At this rate, how long would it take him the paint the entire room? I need

expeople1 [14]

So it took him 4/5 of an hour to paint 1/3
that means there is still 2/3 to go
so that means that he will have two times that time to paint the rest of the room
4/5 = ? 
1/3 2/3

using cross multiplication

(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest
or 12/5 total to do entire room

Hope this helps ;)

7 0

2 years ago