MATHEMATICS HIGH SCHOOL

John changes £450 to euros.
The exchange rate is £1 = 1.16 euros.
Change £450 to euros.

Answers

Answer 1
Answer: 450 x 1.16 = 522

The answer is 522 euros.

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Find the GCF of the given polynomial.

16a4b4 + 32a3b5 - 48a2b6

Answers

16a^4b^4 + 32a^3b^5 - 48a^2b^6

the GCF would be : 16a^2b^4....because the 16 is the highest coefficient that goes into 16,32,and 48. Then u just take the a with the smallest exponent and the b with the smallest exponent.
Simple.....

once you factor the expression completely you should get...

16a^(2) b^(4) (a-b)(a+3b)------> 16a^(2) b^(4) is your GCF.

Thus, your answer.

Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1).

Answers

The value of f(-1) is -6

what is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given:

f(x) = 12/ (4x +2)

for x=-1

then,

f(-1) = 12/ ( 4(-1) + 2)

f(-1) = 12/ (-4 + 2)

f(-1) = 12/(-2)

f(-1) = -12/2

f(-1) = -6

Hence, the value of f(-1) is -6

Learn more about function here:

brainly.com/question/23712366

#SPJ2
f(x)= 12 / (4x+2 )
f(-1) mean to replace x by (-1) 
so, f(-1) = 12 /(-4+2) 
f(-1)= 12/-2 
f(-1) = -6 

The areas of two circles are 36(pi) and 64(pi). What is hte ratio of the diameters? of the circumferences?

Answers

A_1=36\pi\ \ \ \Rightarrow\ \ \ \pi r ^2=36\pi\ \ \ \Rightarrow\ \ \ r^2=36\ \ \Rightarrow\ \ r=6\n \nA_2=64\pi\ \ \ \Rightarrow\ \ \ \pi R ^2=64\pi\ \ \Rightarrow\ \ R^2=64\ \ \ \Rightarrow\ \ R=8 \n\n\n (2r)/(2R) = (r)/(R) =(6)/(8)= (3)/(4)\ \ \ \ \ \ \ \ and\ \ \ \ \ \ \ \ (2\pi r)/(2\pi R) =(r)/(R) = (3)/(4)
2,304 because if you multiply 36 x 64 is 2,304 if not multiply 2,304 x 36 x 64 and then divide the answer by 36 & 64 the it should be 2,304

How would I solve Part B?

Answers

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

What is the value of x?

Answers

We can see on the number line that the bracket is 4 units long,
and the label above it says that it's (-3x + 1) long.

-3x + 1 = 4

Subtract 1 from each side:        -3x = 3

Now divide each side by  -3 :     x = -1
|2-(-2)|=-3x+1\n\n-3x+1=|2+2|\n\n-3x+1=|4|\n\n-3x+1=4\ \ \ \ |subtract\ 1\ from\ boh\ sides\n\n-3x=3\ \ \ \ \ \ |divide\ both\ sides\ by\ (-3)\n\n\boxed{x=-1}

Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answers

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 
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