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2 years ago

Solve for y. 2 (y-2) = 4y + 8 - 2 (-4y - 3)

Mathematics

2 answers:

lukranit [14]2 years ago

8 0

Answer:

Let's solve your equation step-by-step.

2(y−2)=4y+8−2(−4y−3)

Step 1: Simplify both sides of the equation.

2(y−2)=4y+8−2(−4y−3)

(2)(y)+(2)(−2)=4y+8+(−2)(−4y)+(−2)(−3

(Distribute)

2y+−4=4y+8+8y+6

2y−4=(4y+8y)+(8+6)(Combine Like Terms)

2y−4=12y+14

Step 2: Subtract 12y from both sides.

2y−4−12y=12y+14−12y

−10y−4=14

Step 3: Add 4 to both sides.

−10y−4+4=14+4

−10y=18

Step 4: Divide both sides by -10.

-10y/-10= 18/-10

<h2>Answer = y= -9/5</h2>

Step-by-step explanation:

BRAINLIEST PLEASE

Lubov Fominskaja [6]2 years ago

5 0

Answer:

-1.5

Step-by-step explanation:

2 (y-2) = 4y + 8 - 2 (-4y - 3)
2y-4=4y+8+8y+6
2y-4=12y+14
-4-14=14y-2y
-18=12y
y=-18/12
y=-1.5

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Helga [31]

Yes, there are many possible answers. An equation that can model your situation is:
4a+4b=75, with a being the amount of adult tickets sold, and b being the amount of children’s tickets sold.
Because both tickets cost 4 dollars, you would multiply the amount of tickets sold, by the price (in dollars) of the ticket.
So, you can find possible answers by substituting the amount of adult tickets sold. Say, 4 adults bought tickets. You could then substitute a for 4. So the equation would look like this.
4(4)+4b=75
16 + 4b = 75
4b = 75 - 16
4b = 59
Divide each side by four
B = 14.75

The reason you got a decimal number is because 75 cannot be divided by 4 evenly. So, in this context, you could say that 15 children bought tickets. One child had an issue, and Lisa gave them a 25% discount. This would explain why there are only 75 dollars worth in tickets. I hope I helped, this is my first question I have ever answered so I’m not entirely sure if this was helpful or not. Hope you figure this out!

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2 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

Luba_88 [7]

Test contains 10 three-point questions and 14 five-point questions.

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2 years ago

A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the ce

Yakvenalex [24]

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

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$x = \frac{1190}{1.167}$

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2 years ago

X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

The solution is (4, 4)

Solution:

Given system of equations are:

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

Substitute eqn 2 in eqn 1

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

$x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0$

Solve by quadratic equation

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

Substitute x = 4 in eqn 2

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

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2 years ago

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Bezzdna [24]

Answer:

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that $3*2^x-3$ which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

$g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4$

This function doesn't match.

$f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6$

This function matches. Option C is correct.

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3 years ago