MATHEMATICS HIGH SCHOOL

If these numbers -3,-2,-0.8,-1/10 represent temperatures in degrees Celsius, which is the coldest?

Answers

Answer 1
Answer:

Answer:

–0.8 is the coldest

Step-by-step explanation:

.................

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Construct a polynomial function with the following properties: fifth degree, −2 is a zero of multiplicity 2, 4 is the only other zero

Answers

5th degree means highest power is 5 total

zeroes/roots are
(x-r)
so -2 is a root
(x-(-2))
(x+2) is a root
multiplicity 2 means it happens 2 times ie
(x+2)^2
e
4 is the only other zero
(x-4)

so now we have
(x-4)(x+2)^2
but that is only 3rd degreed
I could add 2 more degrees that are complex roots and therefor won't be graphed on the plane since they are complex so
find a 2nd degree polynomial that has only complex roots
a complex 2nd degree polynomial
x^2+x+10

ok so this is the function
f(x)=(x-4)(x+2)^2(x^2+x+10)

Plz help!!! I will brainliest and no links!! Also plz explain ur answer!!Mrs. O and her family decided to go to Disneyland for vacation. When they left their house, they had to put 3/4 of a tank of gas in their car. When they got to St. George, they put 1/2 of a tank of gas in their car. How much more gas did they put in the car the first time?

Answers

Answer:

2/7

Step-by-step explanation:

So we multiply 3 by 2, and get 6.

Then we multiply 1 by 4, and get 4.

Next we give both terms new denominators -- 4 × 2 = 8.

So now our fractions look like this:

6/8 - 4/8

6 − 4 = 2

So the answer is:

2/8

Can someone help me with this and explain me how to do it please :) ^

Answers

Answer:

4

Step-by-step explanation:

2√x, √x + 1, 2√x + 1 sides of triangle

√x= y

2y, y+1, 2y+1

(2y)²+(y+1)²= (2y+1)²

4y²+y²+2y+1= 4y²+4y+1

y²-2y=0

y=0 (discarded as side can't be zero) or y= 2

so √x=2 ⇒ x= 4

Answer:

x= 4

perpendicular (p) = √(x) + 1

base(b) = 2 √(x)

hypotenuse(h) = 2 √(x) + 1

According to the Pythagoras Theoram,

p²+b²= h²

{( √(x ) + 1) }^(2) + {(2 √(x) )}^(2) = {(2 √(x) + 1)}^(2)

=>x+2√x+1+4x = 4x +4√x +1

=> x = 4x - 4x +4√x- 2√x+ 1- 1

=>x= 2√x

=> x/√x = 2

=> √x = 2

Therefore, x= (√x)² = (2)² = 4

Bertha and Vernon are competing in a diving competition. Bertha's dive ended -24 m from the starting platform. Vernon's dive ended -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?A. 

-6

 B. 

6

 C. 

20

 D. 

-20

help help help

Answers

Answer:

B. Bertha's dive ended 6 times farther than Vernon's dive.

Step-by-step explanation:

We have that,

Bertha's dive ended -24 m from that starting point.

Vernon's dive ended -4 m from that starting point.

So, we get that,

Bertha's end point = 6 × Vernon's end point

i.e. -24 = 6 × (-4)

So, we see that,

Bertha's dive ended 6 times farther than Vernon's dive.

What is the value of the expression?
25 – 4 + (40 ÷ 20)5

Answers

25 - 4 + (40 ÷ 20)5 = 31

Seven integers, x1, x2, x3, x4, x5, x6, and x7, are picked at random from the set of all integers between 10 and 110, inclusive. If each of these integers is divided by 7 and the 7 remainders are all added together, what would be the sum of the 7 remainders?

Answers

Answer:

0+1+2+3+4+5+6=21

Step-by-step explanation:

Since integers are given as x1, x2, x3, x4, x5, x6, and x7. This means they are consecutive integers divisible by 7.

Thus no matter which 7 consecutive integers are these, their reminders will always be in the order of 0,1,2,3,4,5 & 6.

So their sum  will be 0+1+2+3+4+5+6=21.
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