ason used a graphing tool to find the equation of the line of best fit in this scatter plot.



After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105.

Jason likely
an error when writing the equation in his notebook because
the slope and the y-intercept of the equation he wrote.

Answer:

Step-by-step explanation:

Given the quadratic equation that models the height of the ball above the ground as;

h ( t ) = − 16 t^2 + 128 t + 144

t is in seconds

To get the maximum height of the ball, first we must know the time taken by the ball to reach the maximum height.

Note that the ball has a velocity of zero at its maximum height.

v(t) = dh/dt

v(t) = -32t+ 128

at max height, v(t) = 0

0 = -32t + 128

32t = 128

t = 128/32

t = 4secs

To get the maximum height of the ball, you will substitute t = 4 into the modeled function as shown;

h ( t ) = − 16 t^2 + 128 t + 144

h ( 4 ) = − 16 (4)^2 + 128 (4) + 144

h ( 4 ) = − 256 + 512 + 144

h(4) = 400m

Hence the maximum height of the ball is 400m

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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Answer:

8 hours

Step-by-step explanation:

72 miles per hour

576/72= 8

Answer:

32

Step-by-step explanation:

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Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The expression we are given is (2 * x - 4).

We need to find the value of expression when x = 2.

Let's substitute 2 in as x.

Now our expression is (2 * 2 - 4).

First, let's multiply our 2 with our substituted 2.

1.  2 * 2 = 4

We're left with (4 - 4).

Finally, let's evaluate this expression.

2.  (4 - 4) = 0.

Our answer is 0.

So (2 * x - 4) when x = 2 is 0.

Feel free to give brainliest.

Have a great day!

Answer:

Step-by-step explanation:

5x≥7

Divide both sides by 5

x ≥7/5

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

Answer:

Buy-Here Warehouse has the better deal.

Step-by-step explanation:

divide

$6.50 divided by 2 = $3.25

$3.25 costs less than $3.95 for a pound

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Step 4: Find w

9514 1404 393

Answer:

  $8.65×10^3

Step-by-step explanation:

The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.

  West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4

  = (5.38 -1.46 -2.38 -0.675)×10^4

  = 0.865×10^4 = 8.65×10^3

West raised $8.65×10^3.

_____

Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Answer:

x=0

Step-by-step explanation:

"x6"   was replaced by   "x^6".

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0

7x -  5x6y  = 0

7x - 5x6y  =   -x • (5x5y - 7)

-x • (5x5y - 7)  = 0  Hope this helps and you are not stupid everybody has at least something that they dont understand :)))

Answer:

its c

Step-by-step explanation:

that one is shaded down other one is shaded up (up = greater)( down= less)

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

this is for the Sin

*Remember that sin = opposite / hypotenuse*

a² + b² = c² (where a and b are legs and c is the hypotenuse)

From the picture, you can see:

a = 3

c = 4

Plug these into the equation and solve for b.

* a² + b² = c² *

step 1: 3² + b² = 4²

step 2: 9 + b² = 16

step 3: b² = 16 - 9

step 4: b² = 7

step 5: √(b²) = √7

step 6: b = ± √7

FOR COS:

From the picture,  you can see that if θ is in quadrant II, b has to be negative.

b = -√7 = adjacent

Remember that cos θ = adjacent / hypotenuse.

cos θ = adjacent / hypotenuse

cos θ = (-√7 / 4)

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

Answer:

14 Ounces for $2.10

Step-by-step explanation:

To find the answer you need to find the cost per ounce by dividing the cost by the ounces

3.40/20 = 0.17. So $0.17 per ounce

2.10/14 = 0.15. So $0.15 per ounce

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885.  So, 65% is the correct answer.

We would describe 9x+5=32 as an equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:

A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Therefore, We would describe 9x+5=32 as an equation or a function.

Learn more about expression here:

https://brainly.com/question/14083225

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Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

Answer:

4

Step-by-step explanation:

20 percent * 20 =

(20:100)* 20 =

(20* 20):100 =

400:100 = 4

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

The slope is 3/2

Step-by-step explanation:

Slope formula y2 - y1

                       x2 - x1

8-5/-1+3

3/2

The slope is 3/2

~PumpkinSpice1

Answer:

The slope is 3/2

Step-by-step explanation:

Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]

[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

2.55%

Step-by-step explanation:

You have 11 years to make $500, To do this, take the 11 and multiply it by the percentage, after that, do $2000 divided by 11 x (percentage) answer. Then you will have the difference, which should roughly equal $556, which is slightly over $500 but you can't have it under so this is the best answer.

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

x = [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given

100x² - 20x + 1 = 0 ← this is a perfect square

(10x - 1)² = 0, thus

10x - 1 = 0 ( add 1 to both sides )

10x = 1 ( divide both sides by 10 )

x = [tex]\frac{1}{10}[/tex]

Answer:

Step-by-step explanation:

100x^2-20x+1=0

100x^2-(10+10)X+1=0

100x^2-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So roots are X=1/10,1/10

Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is