Write the equation you would use to solve for x. Then solve. ​

Answer:

k = y/x

k = 30/2

k = 15 <=== constant of proportionality

Step-by-step explanation:

Answer:

The rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]

[tex]m=\frac{1-3}{2-1}[/tex]

[tex]m=-2[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 3 = -2 (x-1)[/tex]

[tex]y-3 = -2x+2[/tex]

adding 3 to both sides

[tex]y-3+3 = -2x+2+3[/tex]

[tex]y = -2x+5[/tex]

or

[tex]f(x) = -2x+5[/tex]

Therefore, the rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

Answer:

y=5x

Step-by-step explanation:

There are 76 oatmeal cookies:

4 + 11 = 15

285/15 = 19

19 × 4 = 76

Answer:

x = -1 ± √6

Step-by-step explanation:

[tex]x^{2} +2x - 5 = 0[/tex]

Lets use the quadratic formula → [tex]x = \frac{-b + \sqrt{b^{2} - 4ac} }{2a} \:or \frac{-b - \sqrt{b^{2}- 4ac } }{2a}[/tex]

So ,

[tex]x = \frac{(-2) + \sqrt{(2)^{2} - (4\times1\times-5) } }{2\times1} \:or \frac{(-2) - \sqrt{(2)^{2} - (4\times1\times-5) }}{2\times1}[/tex]

[tex]=> x = \frac{-2 + \sqrt{24} }{2} \:or \frac{-2-\sqrt{24} }{2}[/tex]

[tex]=> x = \frac{-2 + 2\sqrt{6} }{2} \:or \frac{-2 - 2\sqrt{6} }{2}[/tex]

Lets take 2 common from numerator.

[tex]=> x = \frac{2(-1 + \sqrt{6}) }{2} \:or \frac{2(-1-\sqrt{6}) }{2}[/tex]

Cancelling 2 from numerator & denominator gives

[tex]x = (-1+\sqrt{6} ) \: or (-1 - \sqrt{6} )[/tex]

Answer:

4

Step-by-step explanation:

The LCM 

The LCM of 12,18,2412,18,24 is 2⋅2⋅2⋅3⋅3=722⋅2⋅2⋅3⋅3=72.

the HCF

The prime factorization of 36 is

2 x 2 x 3 x 3

The prime factorization of 54 is

2 x 3 x 3 x 3

2 x 3 x 3 = 18

72÷18=4

Answer: ΔUTS ≅ ΔRST

Step-by-step explanation:

ΔTSU is congruent to ΔSTR, not ΔUTS

ΔUTS is congruent ΔRST not ΔRTS

ΔUTS ≅ ΔRST

Hope I helped!

Given that,

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

To find,

The electrostatic force between charges.

Solution,

The formula for the electrostatic force is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}\\\\F=\dfrac{9\times 10^9\times 0.004 \times 0.003 }{(3)^2}\\\\=12000\ N[/tex]

So, 12000  N of electrostatic force is produced.

This question is based on the concept of electrostatic.Therefore, the electrostatic force produced is 12000 N.

Given:

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

We need to determined the how much electrostatic force produced.

According to the question,

By using the formula for the electrostatic force is given by :

[tex]F = k \dfrac{q_1 \; q_2}{d^2} \\\\F = \dfrac{9 \times 10^9 \times 0.004 \times 0.003 }{3^2} \\\\\bold{F= 12000 \; N} \\[/tex]

Therefore, the electrostatic force produced is 12000 N.

For more details, prefer this link:

https://brainly.com/question/9774180

Answer:

The definition of voyage is      

Step-by-step explanation:

Voyage- A long journey involving  travel by see or in space

Answer:

240

Step-by-step explanation:

12x20=240

Answer:

8.8 hours

Step-by-step explanation:

happy paws charges $21 in addition to $2.5 per hour -- we can write this as

21 + 2.5 per hour -- since the number of hours is x, this is equal to

21 + 2.5 (x)

similarly, woof watchers is

10 + 3.75 (x)

we must find when the services are equal --

21 + 2.5x = 10+3.75x

subtract 10 from both sides

11 + 2.5x = 3.75x

subtract 2.5x from both sides

11 = 1.25

divide both sides by 1.25

x = 8.8

Answer:

The percent of change in the average amount received was 46% and this was a decrease.

Step-by-step explanation:

You can use the following formula to calculate the percentage of change:

% of change = ((New number-Original number) / Original Number) x 100

New number= 5,184

Original number= 9,600

Now, you can replace the values in the formula:

% of change = ((5,184-9,600) / 9,600) x 100

% of change = (-4,416 / 9,600) x 100

% of change = (-0.46) x 100

% of change = -46%

According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.

Answer: 61 is a prime number :3

Answer:

Composite.

Step-by-step explanation:

Composite numbers are basically odd numbers. Prime numbers are all even.

Answer:

x>−2

Step-by-step explanation:

−3x+12−12<18−12

−3x<6

Step 2: Divide both sides by -3.

−3x

−3

<

6

−3

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

Answer: C) 28

Explanation:

The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.

Set those two expressions equal to one another. Solve for x.

2(x+2) = 60

2x+4 = 60

2x = 60-4

2x = 56

x = 56/2

x = 28

The correct value of the variable x is,

⇒ x = 28

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

ΔGEF and ΔHEF are congruent.

Hence, We can formulate;

⇒ 2 (x + 2) = 60°

⇒ 2x + 4 = 60

⇒ 2x = 60 - 4

⇒ 2x = 56

⇒ x = 28

Thus, The correct value of the variable x is,

⇒ x = 28

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Answer:

it most likely is the answer B

Answer:

.36

Step-by-step explanation:

36% -> 36/100 -> .36

Answer:

yuhhhh thanks brah hehehejejejne

Answer:

x<-2

Step-by-step explanation:

5x<-10 (divide both sides by 5)

5x÷5<-10÷5 (divide)

solution: x<-2

hope this helps!

Answer:

Step-by-step explanation:

9/13.5

First distribute the 2 through the parenthses on the right side.

So we have y - 4 = 2x + 8.

In slope-intercept form, the y is by itself on the left side.

So we add 4 to isolate the y on the left to get y = 2x + 12.

So in slope-intercept form, our equation is y = 2x + 12.

Answer:

answered

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

Hey there!

• If m = –6 then substitute it in the equation where m is at!

2(–6)² + 10

(–6)² = (–6)(–6) = 36

2(36) + 10 =

72 + 10 = 82

Answer: 82 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer: acute

Step-by-step explanation:

Any angle less then 90 degrees is acute

Answer:Idek

Step-by-step explanation: