Can someone write the equation for this graph and explain the steps. Also can you include all the key features of the graph p

#5. Which equation represents the linear function shown in the table? *

х: 2, 4, 6

у: -1, -5, -9

⇢-1 = -2 x 2 +3

⇢-1 = -4+3

⇢-1 =-1 ✓

⇢-5 = -2 x 4 +3

⇢-5 = -8 +3

⇢-5 = -5 ✓

⇢ -9 = -2 x 6 +3

⇢ -9 = -12 +3

⇢ -9 = -9 ✓

O y = 2x + 3

O y = -3x + 2

O y = 3x - 2

The solution is, O y = -2x + 3,  represents the linear function shown in the table.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

let the equation be y = -2x + 3.

putting the value of x as 2 & y as -1

⇢-1 = -2 x 2 +3

⇢-1 = -4+3

⇢-1 =-1 ✓

putting the value of x as 4 & y as -5

⇢-5 = -2 x 4 +3

⇢-5 = -8 +3

⇢-5 = -5 ✓

putting the value of x as 6 and y as -9

⇢ -9 = -2 x 6 +3

⇢ -9 = -12 +3

⇢ -9 = -9 ✓

we get, that this satisfies the conditions,

so, we have, O y = -2x + 3

Hence, The solution is, O y = -2x + 3,  represents the linear function shown in the table.

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Answer:

More pencils than pens

Step-by-step explanation:

Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

Case 2 : Speed of 1.5 m/s

As distance in both cases is the same, equate the values of d from both equations.

Now, put the value of t in Equation 1 to find d.

Answer:

0.0893 meters per year

Step-by-step explanation:

Answer:

18/7

Step-by-step explanation:

Since m<2 includes 1, m<2 = m<1

9x = 2x + 2 ⇒ 7x = 2 ⇒ x = 2/7

m<1  = 2(2/7) + 2 = 4/7 + 14/7 = 18/7

To find the median

 ⇒ must define what is a median

    ⇒Definition of median: middle number of an ordered set

Lets look at the information given

 Set when ordered: 13,15, 17,x,20,21     with median of 18

  ⇒ In this case, there is an even number of numbers

    ⇒ to find the median

       ⇒ must find average of two numbers closest to the middle

             ⇒ which are 'x' and '17' which is equal to the given median 18

Let's set up the equation:

  [tex]\frac{x+17}{2} =18\\x+17=36\\x=19[/tex]

Answer: x = 19

Hope that helps!

Answer:

in my opinion the answer is 78

Step-by-step explanation:

you divide all of them then add akll tof them simple

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

We can find the slope by using the formula

[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].

Plugging in the points (2,3) and (6,5), we have

[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]

Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

We already found the slope, so we know the equation is of the form

[tex]y=\frac{1}{2}x+b.[/tex]

We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get

[tex]3=\frac{1}{2}(2)+b[/tex].

To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:

[tex]3=1+b[/tex]

[tex]b=3-1=2[/tex].

Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is

[tex]y=\frac{1}{2}x+2.[/tex]

Answer:

[tex]C)\:\:\frac{\sqrt 2}{ 2 } [/tex]

Step-by-step explanation:

[tex] \sin \bigg( \frac{3\pi}{4} \bigg) \\ \\ = \sin \bigg( \pi - \frac{\pi}{4} \bigg) \\ \\ = \sin \bigg(\frac{\pi}{4} \bigg) \\ \\ = \frac{1}{ \sqrt{2} }\\\\= \frac{\sqrt 2}{ 2 }[/tex]

Answer:

Each day you earn $69.00.

You work for 5 days in total.

5 days x $69.00 each day = $345 for 5 days of work

Answer:

log = cylinder

board = rectangular prism

Step-by-step explanation:

The log has a radius of 5 in and a length of 30 in.  

This implies that the cross-section is a circle, and so it can be modeled as a cylinder.

The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.

Therefore, it can be modeled as a rectangular prism.

Answer:

Step-by-step explanation:

more info

Answer:

6.8

Step-by-step explanation:

If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.

[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]

where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.

A man weighs 175 pounds.

His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.

Then the density will be

[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]

Then the Body fat percentage will be

[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]

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Answer:

2 1/9 yards will equal to 76 inches.

1 ward =3ft

Now

1ft=12in

Answer:

c is the correct one

Step-by-step explanation:

6/8 = 0.75 > 4/8 = 0.5

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

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Answer:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Explanation

I hope help you and thanks for heart and rate my answer

Answer:

t≤. -2

Step-by-step explanation:

2≤ -t

Dividing both sides by -1,

The sign flips over,

2/-1 ≥ -t/-1

-2≥t

t≤-2

Answer:

see below

Step-by-step explanation:

assuming 4 weeks in a month

$19.50 * 38 * 4 =  $ 2964   per month

.28 * 2964 = 829.92

He really cannot afford this rent......

Answer:

A.    $829.92        B. No

Step-by-step explanation:

A.   38 hours time $19.50 = $741 per week; Monthly: $741 x 4 = $2,964.00

      28% of monthy income = .28 x $2,964.00 = $829.94

B.  No, he can not afford the home.     Cost of the home is $1, 700.00

      ( No more than 28%) well 28% of $2,964 = $829.94

The time it takes to complete the trip

Answer:

  7.789×10^-2 = 0.07789 cm

Step-by-step explanation:

Your calculator can find the difference of the two given diameters and express it in any format you like.

The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.

__

The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.

  8.83×10^-2 - 6.01×10^-3

  = 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2

Alternatively, you can convert both numbers to standard form and do the subtraction that way.

  8.83×10^-2 - 6.01×10^-3

  = 0.0883 -0.00601 = 0.07789

_____

Additional comment

The second attachment shows the relationship between place values and their multiplier in scientific notation.

__

The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).

Answer:

it's the third option

Step-by-step explanation:

Answer:

C: 5m      V=250πm3

Step-by-step explanation:

Proof:

Answer:

about 11.99 inches

Step-by-step explanation:

Using the formula for the volume of a right circular cylinder:

[tex]\pi {(4.5}^{2} )h = 763[/tex]

[tex]h = 11.994[/tex]

Answer:

I think that answer to first question is. A

Step-by-step explanation:

I think that answer to question 4 is 4 but there is no option for 4 look onto the picture

Answer:

x = 3

Step-by-step explanation:

First, you will pick the first equation :

(x*20)

Then the next,

(x*20) + 5

Then the last equation,

(x*20) + 5 = 5*13

Then you solve

20x + 5 = 65

20x = 65 - 5

20x = 60

20x/20 = 60/20

x = 3