MATHEMATICS HIGH SCHOOL

How to graph y=-4x+2​

Answers

Answer 1
Answer: Since the graph is linear, just find 3 points
(0,2), (1,-2), (-1,6)
And graph the points than draw a line to connect them

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What multiplies to be -18 and adds to be -9?

PLEASE HELP ME WITH THESE QUESTIONS

Answers

Answer: 8

Step-by-step explanation:

log₃ (x² - 32) = log₃ (4x)   restrictions: x² - 32 > 0 and 4x > 0  ⇒ x > 4√2

x² - 32 = 4x

x² - 4x - 32 = 0

(x - 8)(x + 4) = 0

x - 8 = 0     or     x + 4 = 0

    x = 8     or            x = -4  

                                -4 does not meet the restriction so not valid

********************************************************************************************

Answer: y = 7x - 6

Step-by-step explanation:

                    7x  -6                    

x² + 0x + 4  ) 7x³ - 6x² +  0x  + 7

                   -7x³ + 0x² - 28x

                           -6x²  - 28x +  7

                            6x²  + 0x  + 24

                                    -28x + 31

********************************************************************************************

Answer:  x = (6)/(5)

Step-by-step explanation:

ln 3 + ln x = ln 6 + ln (3x - 3)     restrictions: x > 0 and 3x - 3 > 0  ⇒  x > 1

ln (3 * x) = ln (6*(3x - 3))    

ln (3x) = ln (18x - 18)

 3x = 18x - 18

-18x -18x      

-15x =      -18

(-15x)/(-15) = (-18)/(-15)

x = (6)/(5)

     (6)/(5) > 1 so answer is valid

********************************************************************************************

Answer:  -5.9761

Step-by-step explanation:

log ₁₎₂ 63

= (log (63))/(log((1)/(2)))

= (1.7993)/(-0.3010)

= -5.9761

                     


Find the circumference of the ornament shown in the above figure. Round your answer to the nearest whole number. A. 61
B. 41
C. 50
D. 25

Answers

Answer:

D. 25

Explanation:

To find the circumference of a circle you multiply the diameter by 3.14. The diameter of one of the half circles that make up the edges is 2.

2 x 3.14 = 6.28

Now we need to multiply 6.28 by 4 because there are four half circles that make up the edges.

6.28 x 4 = 25.12

The question asked us to round to the nearest whole number. Since the decimal is below 50 we round down, we get the answer 25!!!

Hope this was helpful!

In an observational study, which of the choices below refers to a snapshot of all data collected and the statistical analyses conducted?A) Introduction
B) Methodology
C) Results
D) Discussion

Answers

In an observational study, the introduction refers to a snapshot of all data collected and the statistical analyses conducted

Intro is WRONG!!!!!

I`m sorry I don`t know but intro is wrong

Evaluate\rm (3^2+1)/(3^2-1)+(5^2+1)/(5^2-1)+(7^2+1)/(7^2-1)+\ldots+(101^2+1)/(101^2-1) =
With step by step explanation !​

Answers

It's easier to deal with the symbolic sum (in sigma notation),

\displaystyle\sum_(k=1)^(50)((2k+1)^2+1)/((2k+1)^2-1)

Expanding the terms in the fraction, computing the quotient, and decomposing into partial fractions gives

((2k+1)^2+1)/((2k+1)^2-1) = (4k^2 + 4k + 2)/(4k^2 + 4k)

=\frac12*(2k^2 + 2k + 1)/(k^2 + k)

=\frac12\left(2+\frac1{k(k+1)}\right)

=\frac12\left(2 + \frac1k - \frac1{k+1}\right)

and it's the latter two terms that reveal a telescoping pattern.

In case you need more details about the partial fraction decomposition, we are looking for coefficients a and b such that

\frac1{k(k+1)}=\frac ak+\frac b{k+1}

or

1 = a(k+1) +bk =(a+b)k+a

which gives a = 1, and a + b = 0 so that b = -1.

Our sum has been rearranged as

\displaystyle\frac12\sum_(k=1)^(50)\left(2+\frac1k-\frac1{k+1}\right)=\sum_(k=1)^(50)1+\frac12\sum_(k=1)^(50)\left(\frac1k-\frac1{k+1}\right)=50+\frac12\sum_(k=1)^(50)\left(\frac1k-\frac1{k+1}\right)

The remaining telescoping sum is

1/2 [(1/1 - 1/2) + (1/2- 1/3) + (1/3- 1/4) + … + (1/48- 1/49) + (1/49- 1/50) + (1/50 - 1/51)]

and you can see how there are pairs of numbers that cancel, so that the sum reduces to

1/2 [1/1 - 1/51] = 1/2 [1 - 1/51] = 1/2 × 50/51 = 25/51

So, our original sum ends up being

\displaystyle\sum_(k=1)^(50)((2k+1)^2+1)/((2k+1)^2-1) = 50 + (25)/(51) = \boxed{(2575)/(51)}

What's the area of the triangle below?

Answers

what is the triangle need a diagram

Answer:

diagram?

Step-by-step explanation:

Spencer is designing the interior of a house. The length of one room is twice as long as it's width

Answers

Final answer:

The subject of this question is Mathematics at a High School level. The length of the room is twice the width.

Explanation:

The subject of this question is Mathematics and it is at a High School level.

Step 1: Define the variables

Let the width of the room be represented by w.

Then, the length of the room would be 2 times the width, so it can be represented as 2w.

Step 2: Set up an equation

Since we know that the length is twice the width, we can write the equation:

2w = l

Step 3: Solve for the length

To find the length, we substitute the value of the width into the equation:

2w = 2 * w

l = 2w

So, the length of the room is twice the width.

Learn more about Interior design

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L=w+w so W*2=L. i’m gonna need some numbers but that’s the basic equation
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