MATHEMATICS HIGH SCHOOL

If f(x) = 3x and g(x) = 3x + 1 + 6. Describe the transformations from f(x) to g(x).A) left 1 and up 6
B)
left 6 and up 1
C)
right 6 and up 1
D)
right 1 and down 6

Answers

Answer 1
Answer: The answer is 1 left, 6 up.
Answer 2
Answer:

Answer:

ok thanks its A


Step-by-step explanation:

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Lynn is trying to fine the best deal on bananas. Two grocery stores each have the fruit on sale. Store A has bananas 2 pounds for $0.88. Store B has bananas 5 pounds for $2.50. What is the cost per pound of bananas at each store? Which store has the better deal
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In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?A) 45° B) 43° C) 41° D) 37° E) 33°
A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probability that the child DOES NOT play the piano? Select all the right answers.
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A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters:(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters? (5 points)


A.x2 − 13x + 4
B.3x2 − 13x + 4
C.3x2 − 11x + 4
D.x2 − 12x + 4

Answers

To know the area of a rectangle the equation L x W is used where L is length and W is width. In this problem L is x-4 while W is 3x-1, by simply multiplying both we can get the area.
in equation,
(x-4)(3x-1)
3x^2-1x-12x+4
3x^2-13x+4.
The letter B. 3x^2 - 13x +4 is the simplified expression which represents the area of the floor of the conference room in square meters.

Answer: it’s b, 3x^2-13x+4. I took the test

Step-by-step explanation:

If cot(theta)= 4/3, find csc(theta) (Picture provided)

Answers

Answer:

D

Step-by-step explanation:

If \cot \theta=(4)/(3), then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,

\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\n \n\text{hypotenuse}^2=4^2+3^2,\n \n\text{hypotenuse}^2=16+9,\n \n\text{hypotenuse}^2=25,\n \n\text{hypotenuse}=5\ un.

So,

\csc \theta=\frac{\text{hypotenuse}}{\text{opposite leg}}=(5)/(3).

Answer:

The correct answer is option d

Step-by-step explanation:

Trigonometric ratio

Cot θ = Adjacent side/Opposite side

It is given that,

Cot θ  = 4/3

Adjacent side = 4

Opposite side = 3

Csc θ = Hypotenuse/Opposite side

To find the Hypotenuse

Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²

Hypotenuse = √(3²+ 4²) = 5

To find Csc θ

Csc θ = Hypotenuse/Opposite side = 5/3

The correct answer is option d

Csc θ = 5/3

Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.

Answers

X would be the ground distance from Charlie to the plane 
tan 32° = (1700-5.2) / x    
which would give you x = 2712.25 ft

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales indollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.

Answers

Guy's weekly pay is:
185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week.a) How many ants will be there after :
i. 10 weeks
ii. 20 weeks

b)How many weeks will it take for the ant population to reach 2000.

Answers

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

A=P(1+r)^x

\implies A=500(1+0.12)^x=500(1.12)^x

a) (i) If x = 10 weeks,

The number of ants would be,

A=500(1.12)^(10)=1552.92\approx 1553

(ii) If x = 20 weeks,

The number of ants would be,

A=500(1.12)^(20)=4823.15\approx 4823

b) If A = 2000

\implies 2000 = 500(1.12)^x

4=(1.12)^x

Taking log both sides,

log(4) = xlog(1.12)

⇒ x =  12.23 ≈ 12 weeks
A)4, 823
B)13 Weeks

A: 500 (1 + .12)^x (which is 500 (1 + .12)^20 now)
= 4823. 15 which is ≈ 4823.

B: 2000/ y1 =  500 (1 + .12)^x / y2

12.23 so 13 weeks

What is the decimal representation of 2/ 10

Answers

0.2 is the decimal representation of 2/ 10.

What is Number system?

A number system is defined as a system of writing to express numbers.

The given fraction is 2/10

2/10 is a fraction.

2 is the numerator

10 is the denominator.

Divide numerator and denominator by 2

We get 1/5

The value of 1/5 is 0.2.

Hence, 0.2 is the decimal representation of 2/ 10

To learn more on Numbersystem click:

brainly.com/question/22046046

#SPJ5
to represent 2/10 it can be 0.20 or 0.2
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