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madreJ [45]
2 years ago
14

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step. Write the function in stand

ard form. Factor a out of the first two terms. f(x)=3(x2+6x) Form a perfect square trinomial. (six-halves) squared f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27 What is the missing value in the last step? 3 6 9 18
Mathematics
1 answer:
Aleks04 [339]2 years ago
6 0

Answer: missing value is 3

Step-by-step explanation:To find the vertex form of parabola  given in almost standard form  were written following steps:

1.  Write the function in standard form:

2. Factor a out of the first two terms:

3. Form a perfect square trinomial:

4. Write the trinomial as a binomial squared:

The vertex is (-3,-27).

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A jar of M&M’s : 24 brown , 13 orange, 15 red , 10 green , 15 yellow , and 10 blue. Jim is blindfolded and will draw a singl
pshichka [43]

Answer: 24/87 or 8/29

Step-by-step explanation:

24+13+15+10+15+10=87, the total amount of M&M's.

24 are brown, so 24/87 chance that he will draw a brown one.

24/87 = 8/29 simplified.

3 0
2 years ago
During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each 8th mile th
soldi70 [24.7K]

Answer:

Green and Blue ribbon

Step-by-step explanation:

Given

They collect

Red Ribbon = ½ mile

Green Ribbon = ⅛ mile

Blue Ribbon = ¼ mile

To find?

Which colors of ribbons will be collected at the ¾ mile mark.

The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.

Testing each fraction.

Red Ribbon = ½

¾ ÷ ½

= ¾ * 2

= 3/2

= 1.5 or 1 Remainder 1

This is not an exact multiple of ¾. So, the red ribbon won't be passed here.

Green Ribbon = ⅛

¾ ÷ ⅛

= ¾ * 8

= 24/8

= 3

This is an exact multiple of ¾. So, the green ribbon will be collected.

Testing the last ribbon

Blue = ¼

¾ ÷ ¼

= ¾ * 4

= 3

This is an exact multiple of ¾. So, the blue ribbon will be collected.

Hence, the green and blue ribbons will be collected at ¾ mile mark

3 0
3 years ago
A barber cuts 3 people's hair in 35 minutes. Each haircut takes at least 10 minutes, and fhe first haircut takes the most time.
olchik [2.2K]
15 minutes, 10 minutes, 10 minutes? I think so
5 0
3 years ago
Read 2 more answers
Total cost of three shirts $25.99 each with sales tax of 5.5%
irakobra [83]
3 shirts at 25.99 each : 3 * 25.99 = 77.97
plus sales tax of 5.5% : 77.97 + .055(77.97) = 77.97 + 4.29 = 82.26
6 0
3 years ago
Read 2 more answers
A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
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