MATHEMATICS HIGH SCHOOL

I don’t understand at all

Answers

Answer 1

Answer:

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of $(1)/(4)$ , so that is what we are multiplying.

g(x) = $(1)/(4)$ |x - 2| - 1

^That is your transformed function.

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The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

Answers

Hi,
$a_(10)=a_0+10*r\na_7=a_0+7*r\na_(10)-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\na_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\n\Rightarrow a_0=-224\n\Rightarrow a_1=-224+35\n\boxed{a_1=-189}$

Define a variable, write an inequality, and solve each problem. Check your solution.1. Half of a number is at least 14
2. The opposite of 1/3 a number is greater than 9
3. 1/5 of a number is at most 30

Answers

A variable= an unknown number

1. (1/2)x ≥ 14
x ≥ 28
Check:
1/2(28) ≥ 14
14 ≥ 14

2. -(1/3)x > 9
x < -27
Check:
-(1/3)(-30) > 9
10 > 9

3. (1/5)x ≤ 30
x ≤ 150
Check:
(1/5)(140) ≤ 30
28 ≤ 30

Cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years

3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years

4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Answers

Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Step-by-step explanation:

Given:- Principal amount= $150

First account represented by the function= $f(x)=5x+150$ →Linear function

Second account represented by the function= $g(x)=150(1.03)^x$ →Exponential function

where x is the time period in years.

When x=3 years

$f(3)=5(3)+150=15+150=\$165$

$g(3)=150(1.03)^3=\$163.90$

here, f(x) has the highest value .

When x=10 years

$f(10)=5(10)+150=50+150=\$200$

$g(10)=150(1.03)^(10)=\$201.58$

g(x) has the highest value.

Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Find r if 2700=2200(1+r)ˆ5

( ˆ5 is the exponent for 5 )

Answers

$2700=2200(1+r)^5 \ /:2200\n\n(1+r)^5= (27)/(22) \n\n1+r= \sqrt[5]{(27)/(22) } \n\nr=\sqrt[5]{(27)/(22) } -1$

Angle kl bisects angle vkw. Classify angle vkw if measure of angle lkw is 25°

Answers

angle lkw = 25 degree
thus, angle vkw = 2 x 25 = 50 degree

as the angle vkw is 50 degree, angle vkw can be classified as an acute angle

11. A line segment is different from a line in that a segment hasA. only one endpoint.

B. no endpoints.

C. two endpoints.

D. an undefined length.

Answers

A line segment would be C.
This is because it is quite lterally a "segment" of line. Or a piece.

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