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Grace [21]
2 years ago
14

Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect

square trinomial. Write the trinomial as a binomial squared.
g(x) = 4x2 + 40x
g(x) = 4(x2 + 10x)
(10/2)^2= 25
g(x) = 4(x2 + 10x + 25) – 4(25)
g(x) =______ (x +______)2 – _______
Fill the blanks.
Mathematics
2 answers:
professor190 [17]2 years ago
8 0

Answer:

g(x)= [ 4 ] (x + [ 5 ] )^2 - [ 100 ]

works for edge

Aliun [14]2 years ago
6 0
G(x)=4x^2+40x
g(x)=4(x^2+10x)
g(x)=4(x^2+10x+25)-4(25)
g(x)=4(x+5)^2-100

the missing numbers that should be filled in the blanks are:
4, 5, 100
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Answer: 0.73^9

Step-by-step explanation: Khan

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2 years ago
What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
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A can of peas weighs 10 oz. Explain how you would make a graph to model the total weight of peas in terms of the number of cans
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Ur x axis will be the number of cans and ur y axis will be the weight in oz

u will label ur x axis( the number of cans) in intervals of 1......from 0 to 4
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ur equation would be : y = 10x
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1 year ago
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Suppose that two people standing 5 miles apart both see the burst from a fireworks display. After a period of time, the first pe
RideAnS [48]

Answer:

the fireworks display occured at x = 1,266,650 ft

Step-by-step explanation:

We are told that sound travels at 1100 feet per second

We will use the general equation for an hyperbola given by;

(y²/a²) - (x²/b²) = 1

We assume that the longer axis for the hyperbola is on the y axis.

In this problem, the total distance traveled by the sound is 1100 ft per second and we can find the value of "a" as:

2a = 1100

a = 1100/2 = 550

Also, since both people are 5 miles apart, we can find the value of c like this:

2c = 2(5)

So,c = 5 miles

Since the distance of sound was given in ft. Thus;

Lets convert 5 miles to ft.

1 mile = 5280 ft

Thus; 5 miles = 5 x 5280 = 26,400 ft

Now, we can find b² from;

b² = c² - a²

b² = 26400² - 550²

b² = 696960000 - 302500

b² = 696657500

Thus, plugging in the relevant values to obtain;

(y²/302500) - (x²/696657500) = 1

In this case we want to find the value of x when y = 5miles = 26400 ft

solving for x we have:

(26400²/302500) - (x²/696657500) = 1

This leads to;

2304 - (x²/696657500) = 1

Thus;

2304 - 1 = (x²/696657500)

2303 x 696657500 = x²

x² = 1604402222500

x = √1604402222500

x = 1,266,650 ft

5 0
1 year ago
A regulation hockey puck must weigh between 5.5 and 6 ounces. The weights X of pucks made by a particular process are normally d
mr_godi [17]

Answer:

P(5.5

And we can find this probability with this difference:

P(-2.27

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75,0.11)  

Where \mu=5.75 and \sigma=0.11

We are interested on this probability

P(5.5

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5.5

And we can find this probability with this difference:

P(-2.27

6 0
2 years ago
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