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Daniel [21]
3 years ago
9

Graph h(x)=0.5(x+2)^2 -4 by following these steps:

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

Step 1: Identify a, h, and k.

a=0.5, h= -2, k= -4

Step 3: The axis of symmetry is the line x= -2

Step 4: h(-4)= -2 h(-6)= 4

The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)

Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.

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A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two c
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The right answer for the question that is being asked and shown above is that: "D.) There is likely an association between the categorical variables because the relative frequencies are both close to 0.50." Given that a relative frequencies of 0.48 and 0.52, there will be an association between the categorical variables.<span>
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4 0
3 years ago
Read 2 more answers
2) A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone.Th
zavuch27 [327]
<span>You have:
 
 - The diameter of the cylinder is 12 inches and its height is 14 inches.
 -The height of the cone is 6 inches.
 
 So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone. 
 
 V1=</span>πr²h
 <span>  
 V1 is the volume of the cylinder.
 r is the radius.
 h is the height (h=14 inches)
 
 The problem gives you the diameter, but you need the radius, so you have:
 
 r=D/2
 r=12 inches/2
 r=6 inches
 
 When you substitute the values into the formula, you obtain:
 
 V1==</span>πr²h
 V1=(3.14)(6 inches)²(14 inches)
 V1=1582.56 inches³<span>
 
 The volume of the cone is:
 
 V2=(</span>πr²h)/3
<span> 
 V2 is the volume of the cone.
 r is the radius (r=6 inches)
 h is the height of the cone (h=6 inches).
 
 Then, you have:
</span> 
 V2=(πr²h)/3
 V2=(3.14)(6 inches)²(6 inches)/3
 V2=226.08 inches³
<span> 
 Therefore, </span>the volume of the cake<span> (Vt) is:
 
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8 0
3 years ago
Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
hjlf

Answer:

A

Step-by-step explanation:

It's A

5 0
3 years ago
Read 2 more answers
PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
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