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The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

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Answer:

.85w = 10.2

w =12

Step-by-step explanation:

Of means multiply and is means equals

85% * w = 10.2

Change to decimal form

.85w = 10.2

Divide by .85

.85w/.85 = 10.2/.85

w =12

Answer:

y=0.5x-4 or y=[tex]\frac{1}{2}[/tex]x-4

Step-by-step explanation:

For this equation, it is mostly just rearranging variables.

We start with 3x-6y=24.

By subtracting 3x from both sides, you get -6y=-3x+24.

From there, dividing both sides by -6 leaves you with y=0.5x-4 aka y=[tex]\frac{1}{2}[/tex]x-4 depending what format is asked.

** You may want to revise simplifying linear equations and algebraic equations. I'm always happy to help!

Answer:

When  x =  -2     P  ( -2 ;  5)

When   x = -1       Q  (  -1 ; 2)

When   x  = 0       R  ( 0 ;  1)

Step-by-step explanation:

y =  x²  +  1

When    x  =  -2

y  =  ( -2)²  + 1        y  =  5     point  P  ( -2 ;  5)

When  x  =  -  1

y  =  (  -1)² + 1         y  =  2     point  Q  ( -1 ; 2 )

When x   =  0

y  =  (0)²  +  1         y  =  1      point   R  (  0 ;  1 )

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

Answer:

For this case, the first thing you should observe is that you have a different function in two distinct intervals.

We have then:

For [-10, 2]:

The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)

For [2, 10]:

We have a constant function whose equation is:

y = 5

Answer:

D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.

Step-by-step explanation:

Answer:

A

because if you go to (-6,0) you can find that the line runs through there

Answer:

5900 milliliters

Step-by-step explanation:

U just multiply?

Answer:

The letter P represents 1/8 on the number line

Step-by-step explanation:

Answer:

The answer is D because when you plug in 0 for the x value, you get positive 2

Answer:

r = -6

Step-by-step explanation:

-1 × -6 = 6

6 × -6 = -36

-36 × -6 = 216

Answer:

-6

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

6/ -1 = -6

Check the third term and divide by the second term

-36/-6 = -6

And the 4th divided by the third

216/ -36 = -6

The common ratio is -6

Answer:

I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.

Step-by-step explanation:

Hope this helps

Answer:

the Velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

According to the Question,

since the velocity of wind and plane is exactly opposite

[tex]V_{r} = V_{p} -V_{w}[/tex]  , where  [tex]V_{p}[/tex] is the velocity of plane = 150mi/hr and [tex]V_{w}[/tex] = velocity of wind = 50 mi/hr

Thus, the velocity of the plane is 100 mi/hr along the northeast direction

Answer:

well then you fail and thats that

Step-by-step explanation:

Answer:

Y= (4, -5)

Step-by-step explanation:

________________

Z corresponds to D

W corresponds to A and

X correspondents to B

rotate it in your mind

from D to C gives you a good clue where to place Y.

4,-5 is correct

Step-by-step explanation:

a)

[tex](3x-4y+2z)^2\\=9x^2+16y^2+4z^2+2.3.(-4)xy+2.3.2xz+2.(-4).2yz\\=9x^2+16y^2+4z^2-24xy+12xz-16yz[/tex]

b)

[tex](4a+1)^3\\= 64a^3+3.(4a)^2.1+3.4a.1^2+1\\=64a^3+48a^2+12a+1\\[/tex]

Answer:

B. use a larger sample size

Step-by-step explanation:

the bigger the sample size, the more accurate the results are in stats.

Step-by-step explanation:

hope you can understand it properly

Answer:

hope this could help u

Step-by-step explanation:

The functions in decreasing order of their periods are given below:

The branch of mathematics concerned with specific functions of angles and their application to calculations.

The first one will be:

1. y= -10 sin (x/5-2π)

then,

2. y= 5 csc (3x)+6

then,

3. y=-3cos(x+2π)

then,

4. y= 2/3 cot [(x/4) +6]

then,

5. y= -1/2 tan (5x/6 + π)

Hence, all above are arranged in order of their decreasing periodic function.

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Answer:

C

Step-by-step explanation:

Let find the measure of the angle supplementary to Angle 1.

[tex] \frac{123 + 84}{2} = 103.5[/tex]

Angle 1 is supplementary to that angle so

[tex]103.5 + x = 180[/tex]

[tex]x = 76.5[/tex]

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Respuesta:

24 horas

Explicación paso a paso:

El primer medicamento se toma cada 8 horas.

El segundo medicamento se toma cada 12 horas.

Para Obtian el momento en que ambos medicamentos se volverán a tomar juntos:

Encontramos el mínimo común múltiplo de 8 y 12

Múltiplos de:

8 = 8, 16, 24, 32, 40, 48, 56

12 = 12, 24, 36, 48, 60

El mínimo común múltiplo de 8 y 12 es 24.

Por lo tanto, ambos medicamentos se volverán a tomar después de 24 horas.

Answer:

A) 1x 9^6

B) 1 x (2/3)^4

C) 1 x 4.5^6

hope that helps!

add me as a friend if you can:)

Answer:

A.  [tex]9^{6}[/tex]

B. [tex](\frac{2}{3} )^{4}[/tex]

C. [tex]4.5^{6}[/tex]

Step-by-step explanation:

- the 1 in the front dosn't matter since 1 times "number" is going to be that number

A. There are six 9's multiplying by each eachother

B. There are four (2/3)'s multiplying by each eachother

C. There are six 4.5's multiplying by each eachother

Answer:

[tex]\bar x = 3.0[/tex]

Step-by-step explanation:

Given

[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]

Required

The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]

[tex]\bar x = \frac{15.0}{5}[/tex]

[tex]\bar x = 3.0[/tex]

Answer:

Ace here. What do you need help with?