MATHEMATICS HIGH SCHOOL

If f(x) = 0.5(1 – x), what is the value of f(–1)?A. 0
B. 1
C. 2.5
D. 0.5

Answers

Answer 1
Answer:

Answer:

f(-1)=1

Step-by-step explanation:

If f(x) = 0.5(1 - x), find the value of f(-1)

we are given with function f(x) = 0.5(1 - x)

To find f(-1) we plug in -1 for x in f(x)

f(x) = 0.5(1 - x)

f(-1) = 0.5(1 - (-1))

f(-1) = 0.5(1+1)

f(-1) = 0.5(2)

f(-1)=1
Answer 2
Answer:   f(x) = 0.5(1 - x) 
f(-1) = 0.5(1 - (-1)) 
= 0.5(2) 
= 1 
answer B   

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How do you solve polynomial equation by factoring2x^3 - 12x^2 = 32x - 192

Which pair is a base and corresponding height for the triangle?A.

b = 16 units and h = 9.6 units








B.

b = 20 units and h = 16 units








C.

b = 20 units and h = 9.6 units








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b = 20 units and h = 12 units

Answers

 I believe the answer is B. because the dashed line in the middle of your triangle shows the height, and the only side that is perpendicular to the dashed line, is the one b = 20

64,328 to the ten thousands place

Answers

If you are looking to round, then you simply either round up or round down due to the term before the place you want to round (in this case, the thousands place). when you round in this case, you would round down because 4 is less than 5 (the middle point between 0 and 10) in which case would give us 60,000

Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer:

The required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

C(5,-4)\rightarrow C'(-2,1)           .... (1)

Let the algebraic rule of translation is

(x,y)\rightarrow (x+a,y+b)           .... (2)

From (1) and (2) we get

x=5,y=-4

x+a=-2

5+a=-2

a=-2-5

a=-7

The value of a is -7.

y+b=1

-4+b=1

b=1+4

b=5

The value of b is 5.

The algebraic rule of translation is

(x,y)\rightarrow (x-7,y+5)

Therefore the required algebraic rule of translation is (x,y)\rightarrow (x-7,y+5).
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

Find the balance in the account. $700 principal earning 5%, compounded monthly, after 9 years

Answers

Answer: The balance in the account after 9 years is $1085.93.

Step-by-step explanation:

Since we have given that

Principal amount = $700

Rate of interest = 5%

Number of years = 9

Since we have mentioned to use "Compound Interest " method:

As we know the formula for above i.e.

A=P(1+(r)/(100))^n\n\nA=700(1+(5)/(100))^9\n\nA=\$1085.93

Hence, the balance in the account after 9 years is $1085.93.
A=700×(1+0.05÷12)^(12×9)
A=1,096.79

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?x2(x – 9) – 5(x – 9)
x2(x + 9) – 5(x + 9)
x(x2 + 5) – 9(x2 + 5)
x(x2 – 5) – 9(x2 – 5)

Answers

x³ - 9x² + 5x - 45

x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 INCORRECT
x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 INCORRECT

x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 CORRECT
It just needs to be rearranged.

x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 INCORRECT

The answer choice which shows a way to determine the factors by grouping is; x(x² + 5)–9(x² + 5).

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?

According to the task content, the factors of the expression are to be determined by grouping.

On this note, one way to group the factors would be;

x³ + 5x - 9x² -45

Upon factorisation;

x(x² + 5) – 9(x² + 5).

Read more on factorisation by grouping;

brainly.com/question/12675337

#SPJ5

There are 15 cards, numbered 1 through 15. If you pick a card, what is the probability that you choose an odd number or a two?A)
2
3

B)
3
5


C)
8
15


D)
8
225

Answers

Answer:

Option B

Step-by-step explanation:

Given that the 15 cards are numbered 1 to 15.

A card is picked at random.  We have to find the probability that the card is odd or two

Let A - selected card is odd

B - selected card is 2

A and B are mutually exclusive

Hence P(AUB) = P(A)+P(B)

Since there are 1,3....15 i.e. 8 odd numbered cards

P(A) = 8/15

P(B) = 1/15 (since there is only one two)

Thus required prob = P(AUB) = 8/15+1/15

=9/15

=3/5

Hence option B
There are 8 odd number between 1 and 15 (1,3,5,7,9,11,13,15), so the probability of choosing an odd number is (8)/(15).

The probability of choosing 2 is (1)/(15).

So, the overall probability is equal to (8)/(15)+(1)/(15)=(9)/(15)=(3)/(5)
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