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bazaltina [42]
2 years ago
7

In a newspaper, it was reported that the number of yearly robberies in Springfield in

Mathematics
1 answer:
ryzh [129]2 years ago
5 0

Answer:

The number of robberies in 2014 is 108

Step-by-step explanation:

Here, we want to calculate the number of robberies in 2014

from the question, the robberies went down by 40%

Let the number of robberies in 2014 be x

Thus;

40/100 * 180

= 72

This means that the value it went down was by 72

Thus;

x = 180-72

x = 108

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If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?
irga5000 [103]

Answer:

range: (-5, ∞)

domain: (-∞, ∞)

Step-by-step explanation:

given vertex, absolute minimum: (-3, -5)

Range look at y-value

(minimum, maximum) the -5 will be on the left  of the comma b/c its the min

If this was a max, you would put the y-value on the right side of the comma

3 0
3 years ago
Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

4 0
3 years ago
Find the modal class interval.
photoshop1234 [79]

Answer: 24≤ a < 26

Step-by-step explanation:

The modal class interval is the class interval with the highest frequency, the highest frequency from the table is 8 , which belongs to the class interval 24≤ a < 26

4 0
3 years ago
Two sides of an isosceles triangle have lengths of 2 and 12 . What is the length of the third side
SVETLANKA909090 [29]

Answer:

given \: that \: it \: is \: issoscless \: triangl e \\ so \: the \: third \: side \: must \: be \: 2 \\ thank \: you

4 0
3 years ago
Find the slope and the y-intercept of the graph of y= 11 + 1.5x.
sveticcg [70]

Answer:

Slope is 1.5 and y-intercept is 11

Step-by-step explanation:

It's in the equation

8 0
3 years ago
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