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Ludmilka [50]
2 years ago
6

Rewrite the equation by completing the square.

Mathematics
1 answer:
Tatiana [17]2 years ago
4 0

Answer:

(x-11/4)^2 = 9/16

Step-by-step explanation:

2x^2 -11x+14 = 0

Subtract 14 from each side

2x^2 -11x+14-14 = -14

2x^2 -11x = -14

Divide each side by 2

2/2x^2 -11/2 x = -14/2

x^2 -11/2 x = -7

Take the coefficient of x

-11/2

Divide by 2

-11/2  /2 = -11/4

Square it

(-11/4) ^ = 121/16

Add this to each side

x^2 -11/2 x  + 121/16= -7+121/16

(x+ -11/4)^2 = -7*16/16 + 121/16

(x-11/4)^2 = -112/16 +121/16

(x-11/4)^2 = 9/16

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How many centimeters are in x meters???
Crank

Answer:

One centimeter is equal to 10 millimeters. It is also equal to 0.1 decimeter and 0.01 meter. One kilometer contains 100,000 centimeters.

Step-by-step explanation:

thank me and rate me!!!plz thank you :)

3 0
3 years ago
Read 2 more answers
S part of a statistic project, a math class weighed all the children who were willing to participate as shown below.
katovenus [111]

Answer:

18 children weighed less than 50 pounds.

Step-by-step explanation:

Ok, adding into the explanation what the heck this kind of a table is. The "stem" column is the tens place of each of the children's weights. The "leaf" is the ones digit of each of the children's weights. So in the row where the stem is 2, there were 2 kids weighing 23 and 25 pounds.

For your question, we have to add up how many students have a weight with a "stem" less than 5, because that's where 50 pounds starts.

8 + 2 + 5 + 3 = 18 children weighed less than 50 pounds.

6 0
2 years ago
Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies $52,000. Each day, she spends $650
Yuki888 [10]

The equation is:  960d-650d=52000 and Julianne will begin making a profit after 168 days.

<em><u>Explanation</u></em>

Her total start-up cost is $52,000.

Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.

If the number of days to overcome the start-up cost is  d , then

the total operation cost spent in  d days = \$650d and

the total students' lesson fees earned in  d days = \$960d

<em><u>Part A:</u></em>   The equation to represent the situation will be:   960d-650d=52000  

<u><em>Part B:</em></u><em> </em><em>  </em>Julianne will begin making a profit when....

960d-650d>52000\\ \\ 310d>52000\\ \\ d>\frac{52000}{310}\\ \\ d >167.741... \approx 168

So, Julianne will begin making a profit after 168 days.

5 0
3 years ago
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are ne
Oksana_A [137]

Answer:

2 11/12 cups of flour

Step-by-step explanation:

2 recipes are 2 1/2 cups of flour  

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12  

So, 2 11/12 cups of flour

4 0
2 years ago
Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2
nekit [7.7K]
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

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Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

6 0
3 years ago
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