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ElenaW [278]
3 years ago
8

X^2 + 18x + c = 25 +c

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0
Rearrange to: x^2 + 18x - 25 = 0
Then factorise (I like to do it by completing the square):
(x + 9)^2 -81 -25 = 0
(x + 9)^2 = 106
x + 9 = sqrt(106)
The sol'ns are:
x = -9 + and - sqrt(106)
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What is the slope of the line between (−4, 4) and (−1, −2)? (1 point)
Ivanshal [37]

Answer:

-2

Step-by-step explanation:

if u evee need help on questions like this try desmos.com. its a free graphing calculator that is really easy to use. you just plug in numbers and it does the work for you!

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6 0
4 years ago
Solve for x. *<br> 2 (x - 3) = 5x + 23
ASHA 777 [7]

Answer:-29/3

Step-by-step explanation:

distribute the left side: 2x-6 = 5x+23

combine like terms: -3x=29

divide by -3 on both sides: x= -29/3

5 0
3 years ago
A shop has a sale of 15% off all items in stock.
makvit [3.9K]

Answer:

The sale price is 34 euros.

Step-by-step explanation:

40 * .85 (100% - 15% = 85% or .85) = 34

4 0
3 years ago
Can any negative integer be greater than a positive integer explain
Keith_Richards [23]

No, it is impossible. Intuitively, a negative number sits at the left of 0 on the number line, and a positive number sits at the right of 0 on the number line. And a number x is greater than another number y if x sits at the right of y on the number line. So, every positive number is greater than any negative number.

Also, by definition, a positive number is greater than 0, and a negative number is smaller than zero. So, if x is positive and y is negative, you have

y < 0 < x

and since the relation of order "<" is transitive, this implies

y < x

5 0
3 years ago
Can anyone solve these? Pre-Calc BC
viva [34]

Answer:

79. [7, 12], [1, 6]

80. The total revenue in the month of May is $11,575

81. The total revenue in the month of November is $4,630

82. Values obtained from the model and actual values are almost the same, so the given model is precise.

Step-by-step explanation:

79.

The domain of a function is the set of x-values that we are allowed to plug into our function.

The graph below represents f(x),

the graph that the domain of the first part of the function is [7,12]. The domain of the second part of the function is [1,6]. The solution is:

f(x)=\left \{ {{-1.97x+26.3, 7 \leq x \leq 12} \atop {0.505x^{2} -1.47x+6.3, 1 \leq x \leq 6}} \right. \\\\

80.

1 ≤ 5 ≤ 6, so we'll plug the value 5 in the function f(x) = 0.505x² - 1.47x + 6.3

f(x) = y = (0.505)(5)² - 1.47(5) + 6.3

f(x) = y = (0.505)(25) - 7.35 + 6.3

f(x) = y = 12.625 - 1.05

f(x) = y = 11.575

For x=5 which represents 5th month May, we got y=11.575

Therefore, the total revenue in the month of May is 11.575 thousands dollars, ie 11,575 dollars.

81.

7 ≤ 11 ≤ 12, so we'll plug the value 11 in the function f(x) = -1.97x + 26.3

f(x) = − 1.97(11) + 26.3

     = − 21.67 + 26.3

     = 4.630.

For x=11 which represents 11th month November, we got y=4.630 Therefore, the total revenue in the month of November is 4.630 thousands dollars, 4,630 dollars.

82.

Values obtained from the model are y=11.575 (x=5) and y=4.630 (x=11). Actual data values are y=11.5 (x=5) and y=4.4 (x=11)

By comparing these values, we can conclude that the model is precise, because these values are almost the same.

Learn more about Piecewise Functions here: brainly.com/question/13882670

3 0
2 years ago
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