Evaluate each of the following expressions if x=5, y=6, z=-6

X+3y+z=____
(x-12)+3(y+z)=____
100x+yz=___

9514 1404 393

Answer:

  54w^7/v^17

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1 . . . . for any a ≠ 0

__

  [tex]3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}[/tex]

Answer:

(x+8)*(x-3)

Step-by-step explanation:

Answer:

ASA congreunce

Step-by-step explanation:

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

Answer:

Y= -2x+4

Step-by-step explanation:

Answer:

-7z+12b-4c or 12b-4c-7c

Answer:

10 5/12 is the answer, hope this helps

Answer:

125/12 meters per second.

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

To know more about load follow

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Answer:A

Step-by-step explanation:

Answer:

B. 105 ÷ 7 = x

Step-by-step explanation:

Step 1:

105 candies ÷ 7 kids = x amount of candies per kids          Equation

Step 2:

105 ÷ 7        Divide

Answer:

x = 15      

Hope This Helps :)

Step-by-step explanation:

The volume of a cube is s^3 where s is the length of a side..

So If you have 84 cubes with sides of 1/3 in the total volume is:

v=84(1/3)^3 in^3

v=84/27 in^3

v=28/9 in^3

V=3.11 in^3 (to nearest hundredth of a cubic inch)

Answer:

I believe the answer is B. Six problems per hr (hour)

Answer:

2 is boy and 3 is girl

Step-by-step explanation:

cauze in first place boy is plced so it is 2.

and in second place girl is placed so it is 3.

Answer:

A) 10:15

Step-by-step explanation:

both are x5

Answer:

Step-by-step explanation:

y-2=6x+6

y=6x+8

Answer: I believe yes

Step-by-step explanation:

Im sorry if this isn’t right but I believe it is

Answer:

total cost = 1.50x

Step-by-step explanation:

Given cost of 1 bagel = $1.25

Let the number of bagels purchased by x

cost of x bagels = cost of 1 bagel *x

cost of x bagels = 1.50*x

Thus,

relationship between bagels and total cost is as shown below

total cost = 1.50x

where x is the number of bagels purchased.

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is N(x) = 1.25x.

So N(4) =5, meaning 4 bagels will cost 5 dollars.

Please give me Thanks

Answer:

8

Step-by-step explanation:

apples are  2 x

bananas are  x -3

Oranges are  x

Total number of  Fruits  = 2 x + x + x -3 =29

3x+x = 29 +3

4x =32

x = 32/4

  =8 Oranges

Answer:

10-5= 5

6-4=2

Step-by-step explanation:

subtracting

Answer:

10-5=5

6-4=2

Subtract 5 from the 10, which gets you 5.

Subtract 4 from 6, and you get 2.

Answer:

a⋅0.5+10b+4=19.5=a=−20b+31 ‍♀️I think that's the way I'm not sure!

Answer:

D on edulastic 2020

Step-by-step explanation:

Answer:

7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0

Step-by-step explanation:

Answer:

11.96

Step-by-step explanation:

We can figure this out by multiplying 17.94 times 2/3, which gives us a total of 11.96

9514 1404 393

Answer:

  (-1/4, 2)

Step-by-step explanation:

Substitute the given information into the equation and solve for y.

  3y +4(-1/4) = 5

  3y -1 = 5 . . . . . . simplify

  3y = 6 . . . . . . . . add 1

  y = 2 . . . . . . . . . divide by 3

The point is (-1/4, 2).

Answer:

2

Step-by-step explanation:

( 1/4 , 2 )

Answer:

32 and 40

Step-by-step explanation:

Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72

Equation:

2x + 8 = 72

2x = 64

x = 32

So now we know the smaller number is 32, so now add 8 and we get 40.

Therefore the 2 numbers are 32 and 40

Answer:

Step-by-step explanation:

Given the coordinates D(-2, 3), E(5, 5), F(-4, 10), to find the measure of the sides, we will use the formula for calculating the distance between 2 points as shown:

D = √(y2-y1)²+(x2-x1)²

For DE;

D(-2, 3), E(5, 5),

DE = √(5-3)²+(5-(-2))²

DE = √2)²+7²

DE = √4+49

DE = √53

For DF;

D(-2, 3), F(-4, 10)

DF = √(10-3)²+(-4-(-2))²

DF = √7²+(-2)²

DF = √49+4

DF = √53

For EF;

E(5, 5) F(-4, 10)

EF = √(10-5)²+(-4-5)²

EF = √5²+(-9)²

EF = √25+81

EF = √106

Since two he sides DE and DF are equal, this shows that the triangle is an isosceles triangle. An isosceles triangle  is a triangle that has two of its sides and angle equal

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

12/3 is a proportion as it is an improper fraction, and those are normal.

Answer:

870000000000000000000000

To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .

= 16/40

= 16 ÷ 4 / 40 ÷ 4

= 4/10

= 4 ÷ 2 / 10 ÷ 2

= 2/5

Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .

Therefore , the fraction 16/40 = 2/5

Height of water in a pool that decreases every week during summer = 4 inches

The change of the height of water in six weeks :-

[tex] = 6 \times 4[/tex]

[tex]\color{olive} =\color{hotpink} 24\color{olive} \: \: inches[/tex]

Therefore , the height of the water in the pool would have decreased by 24 inches in six weeks .

Answer:

so to know full price of granola bars and rice packs; you would multiply 1.09 × 4 for the rice which you get 4.36 then for granola bars you do 4.29 × 3 and you get 12.87 then you add 12.87 + 4.36 = 17.23 then you subtract this from the $$ Mr.Jones has which is 40 so its 40-17.23 and you get 22.77

Answer:

Angle 3 is 65

Angle 8 is 115

Step-by-step explanation:

Answer:

y=-1/5x-7/5

Step-by-step explanation:

y=5x+4

(y+2)=-1/5(x-3)

y+2=-1/5x+3/5

y+10/5=-1/5x+3/5

y=-1/5x-7/5

Answer: x+5y= -7

Step-by-step explanation: