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3 years ago

(07.05 LC) What is the value of x in the equation −x = 2 − 3x + 6? (5 points) A. 8 B.4 C. −4 D. −8

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

Answer: B (x = 4)

- x = 2 - 3x + 6 combine like terms

- x = -3x + 8 add 3x

2x = 8 divide by 2

x = 4

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Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

frutty [35]

Answer:

Step-by-step explanation:

group them first :

( x3+5x2) and ( -6x-30)

then simply by gcf ( greatest common factor) :

x2(x+5) and -6(x+5)

and just add them together:

x2(x+5)-6(x+5)

bonus :

it can be written as (x2-6)(x+5)

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3 years ago

Coach Jamison wants to celebrate the final win of the school's baseball season with a trip to the local fast food place. The tea

PIT_PIT [208]

So we have 2 variables here: tacos and orders of nachos.

When we translate the paragraphs into equation: $28t + 27n = 114.80 \\ \\ 12t + 3n = 37.20$

Now, in this situation we can make use the elimination method by converting 3n to -27n.

$- 108t - 27n = - 334.8$

Add both equations: $28t + 27n - 108t - 27n = 114.8 - 334.8 \\ \\ - 80t = - 220 \\ \\ t = 2.75$

So we find that one taco costs $2.75.

We can plug this into any of the first two equations to find n: $12 \times 2.75 + 3n = 37.2 \\ \\ 33 + 3n = 37.2 \\ \\ 3n = 4.2 \\ \\ n = 1.4$

So one order of nachos cost $1.40.

4 0

2 years ago

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of app

never [62]

1.425 gallons of apple juice are in one container

I got this because if she starts with 6 gallons and she’s left with 0.3 gallons, you would need to subtract 6 by 0.3 (6-0.3=5.7). So now you know how much is in 4 bottles. Now you need divide 5.7 by 4 to find out how much is in each container (which is 1.425).

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3 years ago

Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3. What is the volume of the

Arisa [49]

: You need to know the derivative of the sqrt function. Remember that sqrt(x) = x^(1/2), and that (d x^a)/(dx) = a x^(a-1). So (d sqrt(x))/(dx) = (d x^(1/2))/(dx) = (1/2) x^((1/2)-1) = (1/2) x^(-1/2) = 1/(2 x^(1/2)) = 1/(2 sqrt(x)).

There is a subtle shift in meaning in the use of t. If you say "after t seconds", t is a dimensionless quantity, such as 169. Also in the formula V = 4 sqrt(t) cm3, t is apparently dimensionless. But if you say "t = 169 seconds", t has dimension time, measured in the unit of seconds, and also expressing speed of change of V as (dV)/(dt) presupposes that t has dimension time. But you can't mix formulas in which t is dimensionless with formulas in which t is dimensioned.

Below I treat t as being dimensionless. So where t is supposed to stand for time I write "t seconds" instead of just "t".

Then (dV)/(d(t seconds)) = (d 4 sqrt(t))/(dt) cm3/s = 4 (d sqrt(t))/(dt) cm3/s = 4 / (2 sqrt(t)) cm3/s = 2 / (sqrt(t)) cm3/s.

Plugging in t = 169 gives 2/13 cm3/s.

4 0

2 years ago

1 kg 45g is the same as

laiz [17]

Answer:

1045g

Step-by-step explanation:

Step 1

1kg=1000g

Step 2

Add 1000g and 45g

We get,

1000g+45g

=(1000+45)g

=1045g.

3 0

2 years ago

Read 2 more answers