Tell whether the system has one solution, infinitely many solutions, or no solution.

Yohanna is conditioning all summer to be fit for the next soccer season at his high school. He incorporated walking planks into

BARSIC [14]

I'm pretty sure the answer is 53.

4 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

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Evaluate x-y/5 when x is 23 more than 3 times y and y=6

posledela

Answer:

7

Step-by-step explanation:

1) "x is 23 more than 3 times y" is the same thing as "x = 23 + 3y"

REMEMBER: when you see "is" replace is with an equals sign.

2) Solve for x with your new equation.

3) Plug 6 into the y ("y = 6")

x = 23 + 3 x 6... x = 23 + 18... x = 41

4) Plug in your variables, and evaluate.

(41 - 6)/5... 35/5... 7!

8 0

3 years ago

Tim has to write two papers worth 50 points each. To pass, he has to get at least 45% of the total points. However, scoring less

lions [1.4K]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Based on the above situation the graph that <span>represents the region in which Tim fails is the graph A. </span>

4 0

3 years ago

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Hi I need help please

Nadusha1986 [10]

Answer: 14 7/8

Step-by-step

I put the 4 1/4 into an improper fraction then did keep change flip

4 0

3 years ago

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