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Over [174]
2 years ago
9

Which expression is equivalent to:15x + 20y 5(4x+3y) 5(3x+4y) 5y(3x + 4)​

Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Answer:

5(3x+4y)

Step-by-step explanation:

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Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -
GaryK [48]

Consider all parabolas:

1.

y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

2.

y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

3.

y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

4.

y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

5.

y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

6.

y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0
3 years ago
WILL MARK BRAINLIEST! PLEASE HELP!
vodomira [7]

The formula y = mx + b sometimes appears with


different symbols.


For example, instead of x, we could use the


letter C. Instead of y, we could use the letter F.


Then the equation becomes


F = mC + b.


All temperature scales are related by linear


equations. For example, the temperature in


degrees Fahrenheit is a linear function of degrees Celsius.

Water freezes at: 0°C, 32°F


Water Boils at: 100°C, 212°F


Hope this helps!

~ Kana ^^

6 0
3 years ago
How to i solve for x in this situation? thank yous.
Lena [83]

i did not understand the question can u explain again i can help u


4 0
3 years ago
HELP PLEASEEEEE!!!!!!! IN NEED THE ANSWER LIKE YESTERDAY
uranmaximum [27]

Answer is 214

Step-by-step explanation:

because if you add them it equal that number

4 0
2 years ago
PLEASE HELPPP!!!!
dybincka [34]

Answer:

A. The point (0,0) shows that the cost is $0 for 0 kg of cashews.

C. The point (2,60) shows that it cost $60 for 2 kg of cashews.

B. The constant of proportionality for this graph is 30.

Step-by-step explanation:

D is wrong

7 0
3 years ago
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