MATHEMATICS HIGH SCHOOL

Given: x - 5 > -10. Choose the solution set.

{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}

Answers

Answer 1
Answer:

Answer:

B.\{x|x\text{ R},x>-5\}

Step-by-step explanation:

We have been given an inequality. We are asked to choose the solution set for our given inequality.

x-5>-10

First of all, we will separate variable x on one side on inequality as:

x-5+5>-10+5

x>-5

Therefore, the solution for our given inequality are all values of x greater than -5 and option B is the correct choice.
Answer 2
Answer: It is the second one.Caus -10 +5 when it is brought to the other side.Thus x>-5

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The state of Colorado is shaped like a rectangle with an approximate width of 280 mi and length of 380 mi. What is the population density of Colorado in people per square mile if the population is 5,116,800?

Find the value of the combination.A farmer buys three cows, two pigs, and ten sheep from a seller who has seven cows, four pigs, and ten sheep. How many choices of animals does he have?

54,264
210
42

Answers

It's past my bed-time and there's a whopping 5 points at stake, so
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.

The number of combinations of 3 cows out of 7 is (7·6·5) / 3!  = 35 .

The number of combinations of 2 pigs out of 4 is  (4·3)/2  =  6

The number of combinations of 10 sheep out of 10 is  1 .

The number of ways he can select his animals is (35 · 6 · 1)  =  210 .

Find the slope of the line that passes through:
(-2,-5) and (8, -11)

Answers

Answer:

Slope=  (-3)/(5)

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\n\n=(-11-[-5])/(8-[-2])\n\n=(-11+5)/(8+2)\n\n=(-6)/(10)\n\n=(-3)/(5)

3,9,6,9,27,24,27,81,78,81,243,?find out last figure to complete series

Answers

the next number is 240

Sara leaves home at 7am traveling at a rate of 45 mi/h. her son discovers that she has forgotten her briefcase and starts out to catch up with her. her son leaves at 7:30 am traveling at a rate of 55 mi/h. At what time will he over take his mother?

Answers

Sara 45 mph
Son 55 mph
Sara 07:00
Son 07:30
Difference in time= 00:30 => 0.50 hours
Sara will have covered 22.50 miles Son starts

catch up distance= 22.50 miles
catch up speed = 55 -45
catch up speed = 10 mph
Catchup time = catchup distance/catch up speed
catch up time= 2.25
catch up time= 2.25 hours
They will meet at 9:55 am mph 

-8 + 5 ( 1 + x) = 2x - 20
multi step equation, please solve ill give brainliest (with steps)

Answers

Answer:

The answer is x=-17/3

Step-by-step explanation:

The Steps:

-8 + 5(1 + x) = 2x - 20

-8 + 5 + 5x = 2x - 20

-3 + 5x = 2x - 20

-3 + 3x = -20

3x = -17

x = -17/3

What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ3

Answer:

              x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}

Step-by-step explanation:

x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)
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