MATHEMATICS HIGH SCHOOL

2x2 − 10x − 28 6x × 6 x − 7

Answers

Answer 1

Answer:

Answer:

no real solutions

Step-by-step explanation:

If equation is...

$2x^2 - 10x - 28 = 6x(6x) - 7\n2x^2 - 10x - 28 = 6x^2 - 7\n0 = 4x^2 + 10x + 21\n4x^2 + 10x + 21 = 0$

= no real solutions

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The temperature in austria one morning was -5 degrees celcias at 08 oclock and increased by 2 degrees celcias every hour until 12 oclock ,what will be the temperature be at half past 11

Answers

the temperature in Austria will be 10 degrees Celsius at half past 11.

We can start by calculating how much the temperature will increase from 8 am to 12 pm:

From 8 am to 9 am: temperature increases by 2 degrees Celsius

From 9 am to 10 am: temperature increases by 2 degrees Celsius

From 10 am to 11 am: temperature increases by 2 degrees Celsius

From 11 am to 12 pm: temperature increases by 2 degrees Celsius

Therefore, the temperature at 12 pm will be:

-5 + 2 + 2 + 2 + 2 = -5 + 8 = 3 degrees Celsius

Now, we need to calculate how much the temperature will increase from 12 pm to 11:30 am:

From 12 pm to 1 pm: temperature increases by 2 degrees Celsius

From 1 pm to 2 pm: temperature increases by 2 degrees Celsius

From 2 pm to 3 pm: temperature increases by 2 degrees Celsius

From 9 pm to 10 pm: temperature increases by 2 degrees Celsius

From 10 pm to 11 pm: temperature increases by 2 degrees Celsius

From 11 pm to 11:30 pm: temperature increases by 1 degree Celsius

Therefore, the temperature at half past 11 will be:

3 + 2 + 2 + 2 + 1 = 10 degrees Celsius

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What is the distance between the center and edge of a circle called

Answers

Answer:

Step-by-step explanation:

Anything from the center to the edge is the radius. It is one half of what it measures in diameter.

Answer: The radius

Step-by-step explanation:

The radius is the distance between the center point of the circle and a edge, it is half of the diameter which is the straight line passing through the center point.

Find the exact solution to the equation. Show your work. 4^(12-4x) = 256
(I know the answer is 2, the thing I don't know how to do correctly is showing my work)

Answers

Hello,

$4^(12-4x)=256\n ==\ \textgreater \ \ 2^(24-8x)=2^8\n ==\ \textgreater \ \ 24-8x=8\n ==\ \textgreater \ 8x=16\n ==\ \textgreater \ x=2$

Hi

4^(12-4x) =256
First we need to take log of both sides
log(4^-4x+12) = log (256)
(-4x + 12)(log(4)) = log(256)
so now we have
-4x + 12 = log(256)/log(4)
-4x + 12 = 4
-4x = 4 - 12
-4x = -8
x = -8/-4
x= 2

I hope that's help :)

Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. Jordan worked 4 more hours than Sydney and they ironed 350 shirts between them. Determine the number of hours Jordan worked and the number of hours Sydney worked.

Answers

Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.

Step-by-step explanation:

Let x represent the number of hours

that Jordan worked.

Let x represent the number of hours that Sydney worked.

Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that

20x + 25y = 350- - - - - - - - - - - 1

Jordan worked 4 more hours than Sydney. It means that

x = y + 4

Substituting x = y + 4 into equation 1, it becomes

20(y + 4) + 25y = 350

20y + 80 + 25y = 350

20y + 25y = 350 - 80

45y = 270

y = 270/45

y = 6

x = y + 4 = 6 + 4

x = 10

Line BC reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?(1, 5)
(3, 5)
(5, 5)
(6, 5)
(5,5)
(3,5)

Answers

If the line BC reflects about a line and point N( 3, 5 ) is the reflection of point B ( 3 , 7 ) then the reflection of C ( 5, 7 ) is O ( 5 , 5 ).
Answer: C ) ( 5, 5 )

Answer:

(5,5)

Step-by-step explanation:

Given that B has coordinates as (3,7) When reflected about a line the new coordinates are (3,5)

This implies that by reflection x coordinate remains the same but y reduced by 2 units.

Apply the same logic for unknown O.

C is reflected to O.

Original coordinates of C are (5,7)

Hence new coordinates i.e. that of O would be

x coordinate same as 5

y coordinate 2 less = 7-2 = 5

COordinates of O are (5,5)

suppose you have a 1/10 chance of winning with a scratch off lottery ticket if you buy 5 tickets what is the probability of winning with all five

Answers

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

P(A) = 1/10

Since, 5 tickets are bought,

The probability of winning all five can be given by formula $^nc_rp^r.q^(n-r)$

According to the given condition,

n=5 and r=5

Probability = $^5C_5(1/10)^5$ = (1/10)⁵

Therefore, the probability of winning all five = (1/10)⁵

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Answer:

$10^(-5)$

Step-by-step explanation:

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

$P(A)=(1)/(10)$

You bought 5 tickets. Winning all the five lotteries will be,

$P(\text{A and }\text{A and }\text{A and }\text{A and }\text{A})=P(A)\cdot P(A)\cdot P(A)\cdot P(A)\cdot P(A)\n\n=(1)/(10)\cdot (1)/(10)\cdot(1)/(10)\cdot(1)/(10)\cdot(1)/(10)=(1)/(10^(5))=10^(-5)$

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