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prohojiy [21]
3 years ago
10

Solve each question and check your solution -2(3x-4)=4(x+3)+6

Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer:

x = -1

Step-by-step explanation:

-2(3x-4)=4(x+3)+6

Distribute

-6x +8 = 4x +12 +6

Combine like terms

-6x +8 = 4x+18

Add 6x to each side

-6x+6x +8 = 4x+6x +18

8 = 10x+18

Subtract 18 from each side

8-18 =10x+18-18

-10 = 10x

Divide each side by 10

-10/10 = 10x/10

-1 =x

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Find the value of 7v-6 given that -8v-9=7 Simplify your answer as much as possible 7v-6=
evablogger [386]

Answer:

-20

Step-by-step explanation:

-8v-9=7

Add 9 to each side

-8v-9+9=7+9

-8v = 16

Divide by -8

-8v /-8 = 16/-8

v = -2

Now find

7v -6

7(-2) -6

-14 -6

-20

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3 years ago
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Convert 0.000049 to scientific notation
lilavasa [31]

Answer:

4.9 * 10⁻⁵

Step-by-step explanation:

0.000049 → 4.9

8 0
2 years ago
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A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)
TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function f(t), t is the independent variable. The domain of f is the set of all values of t that this function can accept.

In this case, f(t) is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

  • t \ge 0.
  • f(t) \ge 0.

The first condition is an inequality about t, which is indeed the independent variable.

However, the second condition is about f, the dependent variable of this function. It has to be rewritten as a condition about t.

\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}.

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0
2 years ago
Which exponential function, after being reflected over the x-axis, has a y-intercept at (0, −4) and the right side of the graph
prohojiy [21]

Answer:

Step-by-step explanation:

I don’t know the answer that’s why I brought it here

7 0
3 years ago
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How many moles of mgci2 are there in 318 g of the compound?
shusha [124]

Answer:

there are 3.3399 moles in 318 grams! ✔️

Step-by-step explanation:

So we know that 100 grams MgCl2 to mol = 1.0503 mol.

Therefore, to find the number of moles in 318g of the compound, we use the rule of three:

if 1.0503 mol -------------> 100 grams

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The solution is: X = (318*1.0503)/100 = 3.3399 mol.

Summarizing, there are 3.3399 moles in 318 grams! ✔️

7 0
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