What is the slope of the line below?
y=2/3 X - 3

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

Hey there!

Well in the equation,

y = 2/3x - 3

the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.

Hope this helps :)


Related Questions

if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be

Answers

Answer:

The next step is add x to each side

Step-by-step explanation:

-x + 6 = 5 - 3x

Subtract 5 from each side

-x + 6-5 = 5-5 - 3x

-x+1 = -3x

Add x to each side

-x+1 = -3x+x

1 = -2x

Answer:

Step-by-step explanation:

all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x

then you will add x on each side

you should now have 1=-2x

divide each side by -2 and then you will have

-1/2=x

Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).

Answers

Answer:

[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Step-by-step explanation:

Given that [tex]\triangle KJL[/tex] is a right angled triangle.

[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]

and

[tex]\angle KJL = 90^\circ[/tex]

Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)

By (1) and (2):

sin(38°) [tex]\neq[/tex] cos(38°).

[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)

Comparing equations (1) and (3):

we get the both are same.

[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Answer:

B in EDG

Step-by-step explanation:

Please answer this question now

Answers

Answer:

113 degrees

Step-by-step explanation:

Measure of arc ADCB = 58+108+60 = 226 degrees

Measure of angle B = 226/2 = 113 degrees

Answer:50

Step-by-step explanation:

1-Determine a solução dos sistemas abaixo pelo método de adição: a) {x + y = 5 {2x- y=9 b) {3x - y = 10 {x + y =18 Prfvr gente

Answers

a)

X + Y = 5

2X - Y = 9      

X + 2X + Y - Y = 5 + 9

3X = 14

X = 14/3

Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a primeira:

X+ Y = 5

14/3 + Y = 5

Y = 5 - 14/3

Y = 1/3

.........................

b)

3X - Y = 10

X + Y = 18        

3X + X - Y + Y = 10 + 18

4X = 28

X = 7

Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a segunda:

X + Y = 18

7 + Y = 18

Y = 18 - 7

Y = 11

-8 + 4m = 2. What is m?​

Answers

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Let's solve your equation step-by-step.

[tex]-8 + 4m = 2[/tex]

Step 1: Simplify both sides of the equation.

[tex]4m - 8 = 2[/tex]

Step 2: Add 8 to both sides.

[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]

Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]

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Have a great day/night!

❀*May*❀

Without attempting to solve, how many solutions does this system of equations have? y=2x+1 −3y=6x+6 1. One Solution 2. No Solution 3. An infinite number of solutions 4. Cannot be determined without solving

Answers

Answer:

1. One Solution

Step-by-step explanation:

y=2x+1

−3y=6x+6

Divide the second equation by -3

−3y/-3=6x/-3+6/-3

y = -2x-2

The slopes are different so we know that the lines are not parallel

The will intersect at a point

There will be one solution

solve for y: -2(5y-1)-y=-4(y-3)

Answers

Answer:

[tex]y = - \frac{10}{7} [/tex]

Step-by-step explanation:

- 2(5y - 1) - y = - 4(y - 3)

Expand the terms in the bracket

That's

-10y + 2 - y = - 4y + 12

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 10y - y + 4y = 12 - 2

- 7y = 10

Divide both sides by - 7

We have the final answer as

[tex]y = - \frac{10}{7} [/tex]

Hope this helps you

PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t

Answers

Answer:

f(t) = 202,444(1.05)^t

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

A = final amount

P = principle amount

r = interest rate

t = time

Step 1: Find rate r

212,566.20 = 202,444(1 + r)¹

1.05 = (1 + r)¹

1.05 = 1 + r

r = 0.05

Step 2: Define variables

P = 202,444

r = 0.05

Step 3: Plug in variables into formula

A = 202,444(1 + 0.05)^t

A = 202,444(1.05)^t

ajhejskxnkrlsncjeksuf9

Answers

Yes, agreed, how are you doing? Good? Great!!

Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14

Answers

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

BRAINLIEST!!!
What are the coordinates of P?

Answers

Answer:

Step-by-step explanation:

A kite is symmetrical about its vertical axis, so

if it is a kite, P is the reflection of  (b,0), so its coordinates are

(-b,0) by reflection about the y-axis.

The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?

Answers

Answer:

Step-by-step explanation:

y = -2x - 5

perp. slope: 1/2

y + 2 = 1/2(x + 1)

y + 4/2 = 1/2x + 1/2

y = 1/2x - 3/2

The mean of 5 numbers is 11. The numbers are in the ratio 1 : 1 : 2 : 3 : 4. Find the numbers.

Answers

Answer:

5, 5, 10, 15, 20

Step-by-step explanation:

Since the mean of the 5 numbers is 11, we know that the sum of the 5 numbers is 5 * 11 = 55. If we call the numbers x, x, 2x, 3x and 4x respectively based off of the ratio, we can write:

x + x + 2x + 3x + 4x = 55

11x = 55

x = 5 so 2x = 2 * 5 = 10, 3x = 3 * 5 = 15 and 4x = 4 * 5 = 20, therefore, the numbers are 5, 5, 10, 15, and 20.

Given that

Numbers are in ratio 1:1:2:3:4

Mean of these numbers is 11 .

To Find.

We have to find these five numbers.

Solution .

→ Let's assume these numbers as

→ x , x , 2x , 3x and 4x

→ Mean of any observations is = Sum of observations/ Number of observations.

→ Sum of observations = x+x+2x+3x+4x

11x

→ Number of observations = 5

→ Mean = 11

→ 11 = 11x/5

→ 11 (5) = 11x

→ 11(5)/11 = x

value of x = 5

Putting the value of x for finding all numbers .

→ 1st number = x → 5

→ 2nd number = x → 5

→ 3rd number = 2x → 10

→ 4th number = 3x → 15

→ 5th number = 4x → 20

Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point

Answers

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

y = kxz

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

y = 4xz

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

y = - 140

Hope this helps you

what is the angle taken in clockwise direction between : (1) North- east and north- west .​

Answers

Answer:

I think the answer is both

Answer

hope this helps

solve for x 5(x+1)=4(x+8)

Answers

Answer:

x=27

Step-by-step explanation:

expanding the above expression we get

5x+5=4x+32

grouping numbers with coefficient of x at the left side and constant at the right side we get

5x-4x=32-5

x=27

To solve this equation, we start by distributing both the 5 and the 4 through both set of parentheses.

This gives us 5x + 5 = 4x + 32.

Now subtract 4x from both
sides to get x + 5 = 32.

Now subtract 5 from both sides and x = 27.




-
What is the product?
(-3s +2)(4s-1)

Answers

Answer: -12s + -2

Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2

Answer:

-12s²+11s-2

Step-by-step explanation:

(-3s+2)(4s-1)

First you have to FOIL (First, inner, outter, last)

First: -3s × 4s

Inner: -3s × -1

Outter: 2 × 4s

Last: 2 × -1

Now you should have -12s² + 3s + 8s -2

----------------------

Next you combine your like terms

Finally you have your answer, -12s²+11s-2 .

It takes the average person 5 days, 4 hours, and 600 minutes to walk 100 miles. How many hours does it take for the average person to walk 100 miles? Show all work for solving. You will lose points if you do not use two conversion factors.

Answers

24(hours)x5(days)= 120(hours)
600(mins)/60(mins)=10(hours)
120+10+4= 134hours

[tex] 5 day= 120h \\ 600m = 10h \\ 120 + 10 + 4 = 134h[/tex]

Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !​

Answers

Answer: a/(b^2)

In general, (x^n1)/(x^n2)=x^(n1-n2). So the simplified version is a*(b^-2)=a/(b^2).

Answer:

a^5b^8/a^4b^10

= a^5-4 b^8-10

= a^1 b^-2

= a/b^2

I hope this helps

if u have question let me know in comments ^_^

A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 dozen equals one gross)

Answers

Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

12 * $0.05 = $0.60

As he bought them at $0.38 per dozen, the profit per dozen would be

$0.60 - $0.38 = $0.22

As 12 dozen is 1 gross, the profit per gross would be

12 * $0.22 = $2.64

3 x 12 = 36

.5 x 36 = 18.0

36 divided by .38 is about 94.7

18 - 94.7 = -76.7

ANSWER:

about -76.7

(I may have done this wrong

Work out the value of angle x

Answers

Answer: 166 degrees

======================================================

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR

A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent

Answers

Answer:

B. Congruent - SSS

Step-by-step explanation:

Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.

ΔMNO ≅ ΔPQR due to Congruent-SSS

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given:

In ΔMNO and ΔPQR

Side ME=Side PQ

Side NO=Side QR

Side MO=Side PR

MNO ≅PQR

Since, corresponding sides of both the triangles are congruent.

So, both the triangles are congruent by SSS Postulate.

Hence , ΔMNO ≅ ΔPQR

learn more about of congruent triangles

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Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15

Answers

I guess it's x=-11
3x+7=x-15
3x-x=-15-7
2x=-22
X=-11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.

Let the number be 'x'.

The three times the number plus 7. Then the expression is given as,

⇒ 3x + 7

The number 'x' is decreased by 15. Then the expression is given as,

⇒ x - 15

Both expressions are equal to each other. Then we have

3x + 7 = x - 15

3x - x = - 15 - 7

2x = - 22

x = - 11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

More about the solution of the equation link is given below.

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A truck costs $8,000 with a residual value of $1,000. It has an estimated useful life of 7 years. If the truck was bought on July 9 what would be the book value at the end of year 1?

Answers

Answer:

$7520.55

Step-by-step explanation:

Cost of truck = $8000

Residual value = $1000

Estimated useful life = 7 years

Depreciation = (cost of asset - salvage value) / useful life

Depreciation = (8000 - 1000) / 7

Depreciation = 7000 / 7

Depreciation = $1000

Truck was purchased on July 9, Therefore, Depreciation by the end of year one will be;

Number of days between July 9 and year end = 175 days

Daily Depreciation = $1000 / 365 = $2.739

Total Depreciation by year end = (daily Depreciation * 175 days) = $479.45.

Book value at the end of year 1 = (8000 - 479.45)

= $7520.55

Answer:

The answer is "$7,500".

Step-by-step explanation:

Formula:

In the month of July-December the depreciation:

[tex]\frac{\text{Cost-Residual}}{\text{Useful life}}\times \frac{6}{12} \\[/tex]

Cost-Residual= costs -residual value

Given:

Cost-Residual = $8, 000 - $ 1,00

                        = $7,000

Useful life= 7 years

Put the value in the above-given formula:

[tex]=\frac{7 000}{7}\times \frac{6}{12}\\\\= 1 000\times \frac{1}{2}\\\\= 5 00\\[/tex]

Therefore, the book value on point at the end of one year is:

= $8,000 -$ 500

= $7,500

Help me with this please

Answers

Answer:

Hey there!

Point n is either -3+5 or -3-5.

Thus, the two possible values are 2 or -8.

Let me know if this helps :)

If a = 6, which of the following is equal to a^-2?
-36
-12
1/6^2
6^2

Answers

Answer:

[tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Given a = 6, then

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]

The 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².

What is exponentiation?

Exponentiation is a mathematical operation that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b raised to the power of n." It is written as bⁿ and is pronounced as "b raised to the power of n."

When n is a positive integer, bⁿ = b × b × b ×...× b (n times)

and b⁻ⁿ = 1/bⁿ ...(1)

When n = 0, bⁿ = 1

How to solve this problem?

Given that a = 6 and n = 2.

Using (1), we get

a⁻² = 6⁻² = 1/6²

Therefore, the 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².

Know more about exponentiation here -

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Repost because someone answered without actually giving an answer. What is the mode of the data shown in the table? Scores: 5 12 13 18 Frequency: 3 2 5 4 A. 12 B. 51.5 C. 12.5 D. 13

Answers

Answer:

Option (D) : 13

Step-by-step explanation:

Mode is the observation which occurred the most number of time.

Therefore, mode = 13

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

Option A) A = 100(1.005)^12t

Step-by-step explanation:

The formula for Total Amount obtained using compound interest is given as:

A = P( 1 + r/n) ^nt

Where

A = Total amount received or obtained after investing

P = Principal or Initial Amount invested

r = interest rate

n = rate or number of times the interest is compounded

t = time in years.

In the question we obtained this values

P = $100

r = 6% = 0.06

n = compounded monthly, we have 12 months in a year, hence, n = 12

t = t

Using the compound interest formula for Amount A,

A = P( 1 + r/n) ^nt

A = 100(1 + 0.06/12)^12 × t

A = 100(1 + 0.005)^12t

A = 100(1.005)^12t

Therefore, the value of Mari's Investment if the interest is compounded monthly is

A = 100(1.005)^12t

Hence, Option A is correct.

(2x2 - 4x + 7) + (3x3 - 9x)

Answers

The answer is 20-13x

It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?

Answers

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

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