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3 years ago

If a number is increased by its square, the result is 72 find the number

1 answer:

8 0

Translating into a mathematical equation:

n + n^2 = 72

Rewriting, n^2 + n - 72 = 0
Factoring, (n+9)(n-8) = 0
Solving for n: n = -9 or n = 8

You must check both answers before accepting one, the other or both.

Example: suppose we check out n = 8. Then 8 + 8^2 = 72 is true, and n = 8 is a solution. Is n = -9 a solution? Try it.

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#1- Jennifer made a box plot to summarize this data. 124, 118, 129, 139, 133, 129, 142, 135, 122, 137. What is the median, the l

svp [43]

Answer:

B or

Lower quartile: 124

Median: 131

Upper quartile: 137

Step-by-step explanation:

To find the median first make the data in order from greatest to least:

118,122,124,129,129,133,135,137,139,142

Then find the middle 2 numbers which are 129 and 133

129+133=262 (divide by 2 to find average) so

median= 262/2=131

To find the Lower quartile find the number in the middle of the first 5 numbers which is 124

To find the Upper quartile find the number in the middle of the second 5 numbers which is 137 so

B or

Lower quartile: 124

Median: 131

Upper quartile: 137

8 0

3 years ago

I need help ASAP!

Readme [11.4K]

Answer:

i) Equation can have exactly 2 zeroes.

ii) Both the zeroes will be real and distinctive.

Step-by-step explanation:

$x^{2} - 7x + 3$ is the given equation.

It is of the form of quadratic equation $a^{2} + bx + c$ and highest degree of the polynomial is 2.

Now, FUNDAMENTAL THEOREM OF ALGEBRA

If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

So, the equation can have exact 2 zeroes (roots).

Also, find discriminant D = $b^{2} - 4ac = (-7)^{2} - 4(1)(3) = 49 - 12 = 37$

⇒ D = 37

Here, since D > 0, So both the roots will be real and distinctive.

7 0

3 years ago

What makes a mathematical statement an equation.

kirza4 [7]

Answer:

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

4 0

2 years ago

What is 4y when x -3

lord [1]

Answer:

4y-x-3 = 0

Step-by-step explanation:

Slope = 0.500/2.000 = 0.250

x-intercept = 3/-1 = -3.00000

y-intercept = 3/4 = 0.75000

4 0

3 years ago

Write the first five terms of the arithmetic sequence. a4 = 22, a10 = 64

dedylja [7]

Hello :
the general term is :
an = a1+(n-1)×d
or : an = ap +(n-p)×d......d is common diffrence
let : n=10 and p= 4
a10 = a4 +(10-4)×d
64 = 22 + 6d
6d = 42
d= 7
conclusion :
a4 = 22
a3 = 22-7=15
a2=15-7=8
a1= 8-7=1
<span>the first five terms : 1 , 8 , 15 , 22</span>

4 0

3 years ago