MATHEMATICS HIGH SCHOOL

Transform the polynomial into a perfect square trinomial to solve x^2-4x=5
a){-5,13}
b){-7,11}
c){1,7}
d){-1,5}

Answers

Answer 1
Answer: x² - 4x = 5 ⇒ x² - 4x - 5 = 0

x² ⇒ x * x
-5 ⇒ -5 * 1
-4 ⇒ -5 + 1

(x + 1)(x - 5) = x(x-5) + 1(x-5) 
x² - 5x + 1x - 5 = x² - 4x - 5

x + 1 = 0
x  = -1

x - 5 = 0
x = 5

y = x² - 4x - 5
y = -1² - 4(-1) - 5
y = 1 + 4 - 5
y = 5 - 5
y = 0

y = x² - 4x - 5
y = 5² - 4(5) - 5
y = 25 - 20 - 5
y = 0

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Issa jogged 2/3 of the way home from school .Then he was tired ,so he walked the remaining 3,200 m how many kilometers did he travel from school to home

Answers

Answer:

9.6 km

Step-by-step explanation:

Issa jogged 2/3 of the way home from school.

Then he was tired, so he walked the remaining 3200 m.

In other words, the remaining 3200 m is 1/3 of the way from school to home.

Let the distance from school to home be x. Therefore:

(1)/(3) * x = 3200\n\n=> x = 3200 * 3 \n\nx = 9600 m

Therefore, from school to home he traveled 9600 m.

To put this is kilometres:

1000 m = 1 km

9600 m = 9600 / 1000 = 9.6 km

He traveled 9.6 km from school to home.

How can I learn elimination better?

Answers

Best thing I think you should do is to go to your teacher for clarification of any doubts and practise as many example and show it to your teacher or anyone who knows it better for approval.

To be able to eliminate, you have to make a variable have the same COEFFICIENTS but OPPOSITE SIGNS. Then solve for the other ( non eliminated) variable. After that, substitute its value to the original equation and solve now for the eliminated variable.

The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times the width of the banner. How long is the banner?

Answers

The banner is around 10.6 feet. It's because all you need to do is to divide 8 by 3, and then add it with 8 times 1 (since it's 1 1/3 times the width of 8 feet). Once you add up the two answers that we first got, you will be able to get 10.66666, or just simply 10.6 feet.

In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution?

Because the containers are too heavy.
Because the standard deviation is too small.
Because the standard deviation is too big.
Because we don't know the number of containers.

Answers

A normal distribution works best for a very large sample size. Without knowing the number of containers, it's difficult to say whether or not it's an appropriate model for representing the distribution of container weights.

Answer:

Because the standard deviation is too small.

Step-by-step explanation:

i took this test and got it right

Any number that is divisible by 2 is also divisible by 8.Find a counterexample to show that the conjecture is false.
24
32
28
16

Answers

28

28/8=3.5

...................
You don't have to go any further than 2 itself.

All of the even numbers that are not multiples of 8 are counterexamples.

28 is a good one.

Simplify this expression.
(100 + 4z)20

Answers

the answer is 2000+80z
2,080 this is what I got
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