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nordsb [41]
3 years ago
9

Which graph below solves the following system of equations correctly? y = three over four times x squared minus 3 y = negative t

hree over four times x squared plus 3

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0
Let's rewrite the system of equations:
 y = three over four times x squared minus 3
 y = (3/4) x ^ 2 - 3
 y = negative three over four times x squared plus 3
 y = (-3/4) x ^ 2 + 3
 The system of equations is:
 y = (3/4) x ^ 2 - 3
 y = (-3/4) x ^ 2 + 3
 The solutions are:
 (-2, 0)
 (2, 0)
 Answer:
 
See attached image

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Answer:

No.

Step-by-step explanation:

Notice that 72 can be written as 8 * 9.

4√72 = 4(√8)(√9) = 4(√8)(3) = 12√8.

Hence the answer is No.

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3 years ago
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If the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
kherson [118]
Formula of surface area of cuboid = 2(lb+bh+lh) . Surface area of cuboid is 14800cm^2 (Given) then 14800 = 2(60*40+40*Height+Height*60) 14800= 2(2400+40*H+H*60) 14800= 4800+80*2H+2H*60 14800= 4880*4H*60 14800/4880*60= 4H
14800/292800=4H
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925/18300=4H
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H= 79.1351351
3 0
3 years ago
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The arithmetic sequence a; is defined by the formula:
Morgarella [4.7K]

Answer:

The sum of the first 650 terms of the given arithmetic sequence is 2,322,775

Step-by-step explanation:

The first term here is 4

while the nth term would be ai = a(i-1) + 11

Kindly note that i and 1 are subscript of a

Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula

Sn = n/2[2a + (n-1)d)

Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.

Plugging these values, we have

Sn = (650/2) (2(4) + (650-1)11)

Sn = 325(8 + 7,139)

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Sn = 2,322,775

6 0
4 years ago
Maria and her friends ate 5/8 of the 16 oranges that were at Maria's house. which is a reasonable answer for 5/8 x 16? please he
neonofarm [45]

Answer:

10

Step-by-step explanation:

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3 years ago
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Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following
posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{165.9}{6} = 27.65

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

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b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%

5 0
3 years ago
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