33WELL EVERGREEN BOLUTIONS
CERTIFICATE EXAMINATION (BECE)
MATHEMATICS 2016
Time Allowed: 2 hrs
s
7. The bearing S 30° W is equivalent to
A. 0300 B. 0600 C. 120°
. D. 150° E. 2100​

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

edge

Answer:

the answer to that question is 11/16

Using the probability principle, the probability of picking two tiles which sums above 7 is 11/16.

Recall :

The only way to choose two tiles which sums up to a number greater than 7 would be :

Since selection is performed with replacement ;

The probability of choosing two tiles whose sum is greater than 7 ;

Hence, probability of choosing tiles with a sum greater than 7 is 11/16

Therefore, the probability of picking two tiles which sums above 7 is 11/16.

Learn more : https://brainly.com/question/25568773

Answer: b. counterexample

A counterexample contradicts the statement or definition you're trying to set up.

For example, if you said that 2x+3x = 7x was true for all x values, then all you need to do is try something like x = 2 to find the original equation simplifies to 10 = 14, which is false. In this case, the counterexample is x = 2 invalidating the equation 2x+3x = 7x.

Answer:

Mmm... a product would be like 10+4=14

Step-by-step explanation:

thats what you are looking for right

Answer:

5x + 6y = -10

Step-by-step explanation:

(-2, 0) and (-8, 5)

m = (y₂ - y₁) /  (x₂ - x₁)

m = (5 - 0) / (-8 -(-2)

m = 5 / (-8+2)

m = -5/6

y = mx + b

(-8, 5)

5 = -5/6(-8) + b

5 = 40/6 + b

b = 5 - 40/6

b = -5/3

y = mx + b

y = -5/6x - 5/3           *6

6y = -5x -5(2)

6y = -5x - 10

5x + 6y = -10

Answer:

45

Step-by-step explanation:

5x+3x+4x=12x

so 12x=180

x=180÷12

x=15

so smallest angle = 3x = 3×15=45

Answer:

5/21

Step-by-step explanation:

=>4/7+(-1/3)

=>4*3/7*3+(-1*7/3*7)

=>12/21-7/21

=>5/21

Answer:

5/21

Step-by-step explanation:

        -1/3=7/21

= 5/21

Answer:

(5x + 2) - (-9x - 2)

O 11x2 – 5x + 8

14x + 4

–6x2 + 8x 7

-X2 + 6

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x + 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5x + 2) - ( - 9x - 2)}[/tex]

When there is a ( - ) sign in front of an parentheses in an expression , change the sign of each term in the expression. Also, remove the parentheses

[tex] \dashrightarrow{ \sf{5x + 2 + 9x + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{14x + 2 + 2}}[/tex]

Add the numbers : 2 and 2

[tex] \dashrightarrow{ \sf{14x + 4}}[/tex]

Hope I helped!

Best regards! :D

Step-by-step explanation:

[tex]( \frac{1}{2}) {}^{3} [/tex]

[tex] \frac{ {1}^{3} }{2 {}^{3} }{} [/tex]

[tex] \frac{1}{8} [/tex]

Answer:

y = 9

Step-by-step explanation:

Given

6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )

2.8y = 25.2 ( divide both sides by 2.8 )

y = 9

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)

Answer:

Step-by-step explanation:

As seen from the first given equation: x + 1/x = 2

If we think of x as x/1 instead then we get:

x/1 + 1/x = 2.

To combine the fractions we multiply the top and bottom of the first one (x/1)  by x to get x^2/x so both have the same denominator so we can combine them which gives us:

(x^2+1)/x=2

Move x to the other side and we get:

x^2+1=2x

Move it back and we get a quadratic equation of

x^2 - 2x + 1

This factors into (x-1)(x-1) meaning x=1

For all the other equations they are equal because x=1.

1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.

Therefore all of them are equal.

Hope this helped!

Answer:

Step-by-step explanation:

[tex]2.4\times\:10\\[/tex]

Multiply without the decimal points then put the decimal point in the answer

[tex]24\times\:10=240\\[/tex]

2.4 has 1 decimal place

10 has 0 decimal places

Therefore, the answer has 1 decimal place

[tex]\\=24.0\\\\=24[/tex]

The value product of 2.4 × 10 will be 24.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 2.4 × 10

Now,

Since, The expression is,

⇒ 2.4 × 10

After multiply, we get;

⇒ 2.4 × 10 = 24

Thus, The value = 24

Learn more about the multiplication visit:

https://brainly.com/question/28768606

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Answer:

X,2,3

Step-by-step explanation:

LEARN THIS PLZ

Answer:

Step-by-step explanation:

Reflect over Ox axis , then translate x+6 , y-1

Answer:

First one- y = -13

Step-by-step explanation:

27 + y = 14 (Rearrange equation)

y = 14 - 27 (Combine like terms)

y = -13

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

Answer:it’s 1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

Here,

JM=MK

so,

7x+5 = 8x

[tex]7x + 5 = 8x \\ ⇒ 5 = 8x - 7x \\ ⇒5 = x[/tex]

. ° . JM = 7x+5 = 7×5+5 = 40

. ° . MK = 8x = 8×5 = 40

Hence,

Answer:

First one second one and fifth one.

Step-by-step explanation:

Got it right on edge

Answer:

N

Step-by-step explanation:

n has both s and u

m has only u

p has only s

Answer:

Real, Rational and integer

Step-by-step explanation:

source: trust me bro

Step-by-step explanation:

A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired in the mapping the second element of the range Associates with more than one element in the domain

Answer:

20cm

Step-by-step explanation:

Volume of cylinder = (pi) r^2 x height.

Rearrange:

500pi/5^2 pi = height

500pi/25pi = 20

Height = 20cm

Hope this helped!

Answer:

19

Step-by-step explanation:

Answer:

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

   = 4(x - 2)² - 16 + 64

    = 4(x - 2)² + 48

y = 4(x - 2)² + 48

Step-by-step explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

  = 4(x - 2)² - 16 + 64

   = 4(x - 2)² + 48

Answer:

C&D

Step-by-step explanation:

I just took the quiz, I hope this helps! <3