Essential Question 7th Grade
How can proportional reasoning help solve a problem?

This question is based on the given solving an equation. Therefore, the value of n for (9n) (8n+8) is 0 and -1.

Given:

(9n) (8n+8)

We need to determined the value of n.

According to the question,

It is given that, expression (9n) (8n+8).

For finding the value of n, we would be equate the given expression is equal to zero.

⇒ (9n) (8n+8) = 0

Now, calculating the value of n. We get,

⇒ (9n) (8n)+(9n) (8)

Then, solving above expression further. We get,

⇒ [tex]\bold{72 n^2+ 72n = 0}[/tex]

Now, taking common 72 n. We get,

⇒ 72n (n + 1) = 0

⇒ 72 n = 0 and (n+1) = 0

We get,

n = 0 , -1

Therefore, the value of n for (9n) (8n+8) is 0 and -1.

For more details, prefer this link:

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Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.

The parabola of the graph is given in the question

A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.

Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

Learn more about the x-intercept here:

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Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign                   Taking -(ve) sign

(9+√69)/6=0                           (9-√69)/6=0

∴(9+√69)/6=0                         ∴(9-√69)/6=0

[∵They cannot be further solved]

The solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 3x² - 9x + 1 =0.

Solve the equation as follows:

3x² - 9x + 1 =0

Use the quadratic formula to solve the equation:

[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]

Hence, the solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

Learn more about the quadratic equations:

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Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Answer:

Result of a division

Step-by-step explanation:

Example

x / y = z

z is the quotient

Answer:

The average daily maximum temperature is

26.56 °C higher than the average daily minimum temperature

Step-by-step explanation:

Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature

We simply proceed to subtract the two

Mathematically, that will be;

21.85 - (-4.7)

= 21.85 + 4.7

= 26.56 °C

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

Answer:

math is hard :(

Step-by-step explanation:

Answer:

16>x/2

Step-by-step explanation:

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

Answer:

153,930 that is the answer hope it is right

Answer:

about 1,400

Step-by-step explanation:

its about 1,400 because you would round 210 to 200, and 733 to 700.

please give brainliest :))

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

Answer:

87 is what he took out after six weeks is that it or?

Answer:

Domain= [0, 13]

Step-by-step explanation:

Domain refers to the possible input values on the x-axis.

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

Answer:

34.8 N at 2.5 degrees from the positive x-axis

Step-by-step explanation:

From the given information:

The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.

[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]

Given that

[tex]F_1 = 50 \ N[/tex]

[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]

[tex]F_{1x} = F_1 \times Cos A_1[/tex]

=  50 × cos 30

= 43.3 N

[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]

= 50 × sin 30

= 25 N

Similarly;

[tex]F_2 = 25 \ N[/tex]

[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]

[tex]F_{2x} = F_2 \times cos \ A_2[/tex]

= 25 × cos 250

= - 8.55 N

[tex]F_{2y} = F_2 \times A_2[/tex]

= 25 × sin 250

= -23.5 N

The total net force;

[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]

[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]

[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]

[tex]F_{net} =34.75 i + 1.5 j[/tex]

[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]

[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]

[tex]|F_{net} | = 34.8 \ N[/tex]

Finally, the direction of the angle for the net force is:

[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]

[tex]\theta = tan^{-1}( 0.043165)[/tex]

[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]

Answer: 36

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

Answer: 0.24, 3/8, 0.51, 0.517, 0.59, 3/4

Step-by-step explanation:

First you will have to convert the 3/4 and 3/8 to a decimal number. By doing this 3/4 turns into 0.75 and the 3/8 becomes 0.375. After this step you then arrange the numbers for the lowest of 0.24 then the 3/8 (0.375) next 0.51 after that is 0.517 then 0.59 and final after that 3/4

Answer:

Step-by-step explanation:

b

Answer:

Option b) 3x - 22 = 38 should be the correct answer.

Step-by-step explanation:

If we solve the equation, we get:

x = 20

So each bag had 20 apples. In total, 3 bags held 60 apples. If he gives away 22 apples to his friends, he has 38 remaining and this satisfies the discription given in the question.

Therefore, option B) 3x -22 = 38 should be your answer.

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

Answer:

(C) $1.5

Step-by-step explanation:

Profit Percent * Cost Price = Profit

20% * $1.25 =

20/100 = .2 * $1.25 =

$.25

Selling Price = Profit + Cost Price

$.25 + $1.25 = $1.5

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Answer:

I believe C.

Explanation:

I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.