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3 years ago

Help me find the value of x!!!

Mathematics

1 answer:

Katen [24]3 years ago

7 0

The value of x is B. 8.

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

3 years ago

Directions: Write an integer to model each situation.

Leni [432]

Step-by-step explanation:

tvt67tvyy8vy8vt67vt7v6vt67yvtv

8 0

3 years ago

2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi

Ostrovityanka [42]

Answer:

$y=5^{x}\\y=5^{7}=78125$

Step-by-step explanation:

$y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125$

4 0

3 years ago

HELP ME PLZ!!!!! Plz!!!

Charra [1.4K]

Answer:

hi the right answer is option C.112

here's why:

$\frac{14}{50} \times 400 = 112$

4 0

2 years ago

Rewrite the fraction in the sentence below as a percentage.

Furkat [3]

Answer:

55%

Step-by-step explanation:

Total number of targets = 20

Number of targets hit = 11

100 / 20 = 5

5 * 11 = 55

This means that 55% of the targets were hit.

6 0

3 years ago