MATHEMATICS HIGH SCHOOL

Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?

Answers

Answer 1

Answer:

For this case we have the following quadratic equation:

$2x ^ 2 = 4x - 7$

Rewriting the equation we have:

$2x ^ 2 - 4x + 7 = 0$

From here, we have:

$a=2 b = -4c = 7$

Substituting values in the quadratic equation we have:

$x = (-b+/-√(b^2-4ac))/(2a)$

$x = (-(-4)+/-√((-4)^2-4(2)(7)))/(2(2))$

Rewriting the equation we have:

$x = (4+/-√(16-56))/(4)$

$x = (4+/-√(-40))/(4)$

$x = (4+/-√(-4*10))/(4)$

$x = (4+/-2i√(*10))/(4)$

$x = (2+/-i√(*10))/(2)$

Answer:

The values of x are given by:

$x = (2+i√(*10))/(2)$

$x = (2-i√(*10))/(2)$

Answer 2

Answer:

Is C.

Ccccccccccccccc

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Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He assumes that each car is 14 feet long, travels at speed S, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function N=(89s)/(14+14(s/17)^2))

At what speed can the greatest number of cars travel safely on that road? Assume that the maximum possible speed of a car is less than 300.

Answers

$N(s)= (89s)/(14+14( (s)/(17))^2 )\n\nN'(s)= ((89s)/(14+14( (s)/(17))^2 ) )'= (89* 14(1+( (s)/(17))^2)-89s* (28)/(17) )/(14^2(1+( (s)/(17))^2)) \n\nN'(s)=0\n\n89* 14(1+( (s)/(17))^2)-89s* (28)/(17)=0\n\n1+( (s)/(17))^2- (2s)/(17) =0\n\n289+s^2-34s=0\n\ns^2-34s+289=0\n\n(s-17)^2=0\n\ns=17$

How much will Julia pay in all for the headphones after sales tax is included? Round to the nearest cent if necessary.

Answers

Answer:

If we knew how much the headphones were and tax was it would be easy but there's no information to solve this.

Simplify the expression below.
√169

Answers

Answer:

The simplified form of the given expression is 13.

Step-by-step explanation:

The given expression is

$√(169)$

It can be written as

$√(13* 13)$

$√(13^2)$

$(13^2)^{(1)/(2)}$ $[\because √(x)=x^{(1)/(2)}]$

$13^{(2)/(2)}$ $[\because (x^m)^n=x^(mn)]$

$13^(1)$

$13$

Therefore the simplified form of the given expression is 13.

The square root of 169 is 13 because 13X13 equals to 169.

What is real numbers? explain briefly..

Answers

Answer:

a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.

plz mark me as brainliest

Find a set of consecutive counting numbers whose sum is 154. Each set may consist of 2 comma 3 comma 4 comma 5 comma or 6 consecutive integers. Use the spreadsheet activity Consecutive Integer Sum on our Web site to assist you.Give the smallest number of the set for each set. If there are no such numbers, put "x" as your answer.

Answers

so find conting number that add up to 156
use 2 number 3,4,5,6
I will do all of them

so consecutive number
to find them this is the equation
x is a number
x+1= next consecutive number so

the group of 2 numbers is
x+x+1=154

2x+1=154
subtract 1
2x=153
divie by 2
we want counting numbers and 153 is odd so odd divided by 2 is not a conting number so there are no 2 consecutive countin g numbers that satisfy these conditions
so there is no such number
the smallest number is x

group of 3 numbers is
x+x+1+x+2=154
3x+3=154
subtract 3
3x=151
divide by 3
the result is a non-counting number so there are no 3 consecutive counting numbers that satisfy these conditons
the smallest number is x

group of 4 numbers is
x+x+1+x+2+x+3=154
4x+6=154
subtract 6 from both sdies
4x=152
divide both sides by 4
x=38
the first number is 38
the set is
38,39,40,41
the smallest number is 38

group of 5 numbers is x+x+1+x+2+x+3+x+4=154
5x+10=154
subtract 10
5x=144
divide by 5
this will result in a non counting number so there is not 5 consecutive conungint numbers that satisfy these conditions
so the smallest number is x

group of 6 numbers is
x+x+1+x+2+x+3+x+4+x+5=154

6x+15=154
subtract 15
6x=139
divide by 6
this will result in a non counting nubmers that do knowt satisfy the condtions so the smalles tnumber is x

2 numbers:x
3 numbers:x
4 numbers:38,39,40,41
5 numbers:x
6 numbers:x

The most important part for digestion is the:A : Mouth

B : Colon

C : Small intestine

D : Appendix

Answers

C. Small intestine...

Answer:

Step-by-step explanation:

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