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olga_2 [115]
3 years ago
11

Quadratic equations solve x^2-7X-34=10

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0
   
\displaystyle\\  
x^2 - 7x - 34 = 10\\\\
x^2 - 7x - 34 -10=0\\\\
x^2 - 7x - 44 =0\\\\
x_{12}= \frac{-b \pm  \sqrt{b^2-4ac} }{2a}= \frac{7 \pm  \sqrt{7^2-4\cdot1\cdot (-44)} }{2\cdot 1}= \\\\
=\frac{7\pm \sqrt{49+176}}{2}=\frac{7\pm \sqrt{225}}{2}=\frac{7\pm 15}{2}\\\\
x_1 = \frac{7 + 15}{2}=\frac{22}{2} = \boxed{11}\\\\
x_2 =\frac{7 - 15}{2}=\frac{-8}{2} = \boxed{-4}



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A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?
timurjin [86]

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by  IQR=Q₃-Q₁              (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation   …(1)

minimum=1

Q₁ =3    , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

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Tom needs to drive 21 miles to work. So far, he has driven 2.2 miles. How many more miles must he drive?
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4 0
3 years ago
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You are making juice from concentrate. The directions on the packaging say to mix
mel-nik [20]

Answer:

25 can.                            

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix  1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ 200\times 6= 1200\ ounce

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, x+3x= 1200

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Next, lets find out how many cans of 12 ounce is required.

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∴ 25 cans is required to make 1200 ounce of orange juice.

3 0
3 years ago
Is this the right answer?
Viktor [21]
Yep pretty sure!!!!!
7 0
2 years ago
A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensio
Lilit [14]
Given width is 24 less than length.
W=L-24
Perimeter = 2(W+L)=2(L-24+L)=4L-48 
But we're also given perimeter = 172'
Therefore 4L-48=172
solve for L
4L=172+48=220
L=55'
W=55-24 =  31'
Check: Perimeter = 2(W+L)=2(31+55)=2*86=172'  good!

Answer: The dimensions of the garden are 31' * 55'
6 0
3 years ago
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