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Paha777 [63]
2 years ago
15

Given the following table, determine the matching representations.

Mathematics
1 answer:
Anton [14]2 years ago
8 0
The 3rd answer choice (y = x - 2). The y-intercept based on the table is at -2 (0,2), and the slope is y/x which in this case is -1/-1 = 1. The equation y = x - 2 follows the form of y = mx + b where “b” is the y-intercept and “m” is the slope. Since the slope is “1”, m = “1”, leaving the equation to have “x” by itself without a true coefficient. To add on, the y-intercept is -2, letting b = -2. Hence, the third option is correct.
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Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q? [p and q are in
IRINA_888 [86]
1.
x² +10x +24 = 0
x² +10x =-24
2.
x² +2*5*x +5² =-24+5²
3.
x²+2*5*x+25 = -24+25
4.
(x+5)² = 1
p=-5, q=1
8 0
3 years ago
Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0
kenny6666 [7]
ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2

x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================

ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left


Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})

6 0
3 years ago
Read 2 more answers
Can someone help me solve this expression?
user100 [1]

Answer:

2x-12

Step-by-step explanation:

First you distribute the -2 to the x and +3

this will make you expression be:

4x-6-2x-6

you then do -6+-6

this will make your expression be:

4x-12-2x

After you get this you have to combine like terms. the like terms in the expression are the two with x being you variable. 4x and -2x.

Once you have combined like terms your solution should be:

2x-12

8 0
3 years ago
Ratio of boys to girls is 3 to 4, the team has 70 members. How many are boys.
elena-14-01-66 [18.8K]
There is 30 boys
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5 0
3 years ago
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What is a repeat remainder
Fiesta28 [93]
It’s pretty much where part of the number is repeated. For example, 0.0087878787 (87 is repeated) or 0.0567567567 (567 is repeated)
5 0
3 years ago
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