write the equation of the line in slope intercept form with the given conditions (slope = 3 and passes through (1,-3))

Answer:

[tex]5\sqrt{6}-5\sqrt{15}[/tex]

Step-by-step explanation:

[tex](\sqrt{3} )(\sqrt{2} )+(\sqrt{48} )(\sqrt{2} )-(\sqrt{3} )(\sqrt{5} )-(\sqrt{48} )(\sqrt{5} )[/tex]

[tex]\sqrt{6}+\sqrt{2*3*2*2*2*2}  -\sqrt{15}-\sqrt{2*3*2*2*2*5}[/tex]

[tex]\sqrt{6}+4\sqrt{3*2} -\sqrt{15} -4\sqrt{3*5}[/tex]

[tex]\sqrt{6}+4\sqrt{6} -\sqrt{15} -4\sqrt{15}[/tex]

[tex]5\sqrt{6} -5\sqrt{15}[/tex]

OOOOIIIIIII its 5/6- 5/6

Luz will have to pay $390 per month for 24 months to repay her $9360 car loan in full.

To determine how many months Luz will need to pay for her car loan, we can use a simple division since the question doesn't mention anything about interest rates affecting the payments.

We divide the total loan amount she has to pay, which is $9360, by her monthly payment of $390.

Months to pay off the loan = Total loan amount ÷ Monthly payment
Months = $9360 ÷ $390
Months = 24

Luz will therefore have to make payments for 24 months to repay her car loan in full.

Answer:

He will save $7,248 in 2 years.

Step-by-step explanation:

The whole explanation is in the picture :)

Answer:

jack earns 3624 a month

Step-by-step explanation:

?-141=161

141+161=302

jack earns 302 bucks a month

302 times 12 = 3624

         10           2      

300║3000 ║    600    ║  

2   ║   20   ║       4        ║

3000+600+20+4=3624

Answer:

m∡P = 80°

Step-by-step explanation:

Because ABC = MPN, m∡B = m∡P. Therefore, m∡P = 80°.

Answer:

24 photos per day i believe

Answer:

The answer is one mile from town.

Step-by-step explanation:

First you would change 2/3 to 4/6

Ignore the part where he took a break. This isn't about time its distance.

Then you would add 4/6 and 5/6 and end with 1  1/2

Last you subtract 1/2 from 1  1/2 and you get the answer of 1

Answer:

The slope is  -14/11

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/ (x2-x1)

   = (8--6)/ (-1-10)

   = (8+6)/(-1-10)

   = 14/-11

  = -14/11

Answer:

Step-by-step explanation:

Given ABCD is a parallelogram.

And diagonals AC and BD intersects at point E.

Note: Diagonals of a parallelogram intersects at mid-point.

E is the mid point of diagonal AC

Therefore,

AE = CE.

Plugging expression for AE and CE, we get

[tex]x^2-16 =6x.[/tex]

Subtracting 6x from both sides, we get

[tex]x^2-16-6x = 6x-6x[/tex]

[tex]x^2 -6x -16 =0[/tex]

Factoring quadratic

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

x+2 =0  => x=-2.

x-8=0  => x=8.

We can't take the length by a negative number. Therefore, x=8.

Now, plugging x= 8 in CE =6x, we get

CE = 6(8) = 48.

We need to find the length of AC.

AC would be two times of CE.

Therefore, AC = 2 × 48 = 96.

Answer:

96

Step-by-step explanation:

Answer: The value of x is [tex]\frac{50}{3}[/tex]

Step-by-step explanation:

Let the original price of gasoline be y

Since we have given that

Price of gasoline rose by 20% during January fell by 20% during February rose by 25% in March and fell by x% in April.

So, According to question,

In January, Price became

[tex]\frac{100+20}{100}\times y=\frac{120}{100}\times y=\frac{6}{5}\times y=\frac{6y}{5}[/tex]

Similarly, In February, Price became

[tex]\frac{100-20}{100}\times \frac{6y}{5}=\frac{80}{100}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{24y}{25}[/tex]

Similarly, in March, Price became,

[tex]\frac{100+25}{100}\times \frac{4\times 6y}{25}=\frac{125}{100}\times \frac{6\times 4y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{6y}{5}[/tex]

similarly, in April , Price became,

[tex]\frac{100-x}{100}\times \frac{6y}{5}[/tex]

so, we have given that the price of gasoline at the end of April was the same as it had been at the beginning of January.

So, it becomes,

[tex]\frac{6y}{5}\times \frac{100-x}{100}=y\\\\6(100-x)=500\\\\600-6x=500\\\\600-500=6x\\\\100=6x\\\\x=\frac{100}{6}=\frac{50}{3}[/tex]

Hence, the value of x is [tex]\frac{50}{3}[/tex]

Answer:

x= 16 2/3

Step-by-step explanation:

Price will be p

The price in January increases by 20%, it will be 6p/5. The price in February decreased by 20%, it becomes 24p/25. The price in March rose by 25%, it will be 6y/5.  

April: 6y/5 times 100-x/100 = p     6(100-x)=500  100=6x   x= 16 2/3

The square root of 101 lies between 10 and 11, as 101 falls between the perfect squares of these two numbers (100 and 121, respectively).

The square root of 101 is a value which, when multiplied by itself, results in 101. In order to find which two consecutive numbers this square root lies between, we need to consider which two perfect squares it falls between. The perfect squares closest to 101 are 100 (which is 10^2) and 121 (which is 11^2). Therefore, the square root of 101 lies between the numbers 10 and 11.

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Without explicit graphical representation, precise classification is challenging. Tentatively: Graph A could be a non-linear function, Graph B is not a function due to its circular form, and Graph C could be a linear function (or a piecewise linear function) as a 'V' indicates straight lines.

In Mathematics, when we talk about functions, a linear function is one where the graph is a straight line. A non-linear function is anything that is not a linear function, including any graph that is not a straight line. If a graph does not pass the vertical line test, where any vertical line would touch the graph only once, it is considered not a function.

Based on the descriptions given:

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1.Graph A: non-linear function

Graph B: not a function

Graph C: linear function

2. Graph A: non-linear function

Graph B: not a function

Graph C: linear function

3. Graph A: not a function

Graph B: not a function

Graph C: non-linear function

Graph A: non-linear function

Graph B: not a function

Graph C: non-linear function

Graph A represents a non-linear function due to its curved shape, showcasing a relationship where the output doesn't change uniformly with respect to the input.

Graph B, resembling a circle, doesn't represent a function as it fails the vertical line test, indicating multiple outputs for a single input.

Graph C, displaying a V-shape, represents a linear function, depicting a consistent rate of change between the variables.

Linear functions maintain a constant slope, resulting in a straight line. Therefore, these classifications are based on the distinctive characteristics of the graphs concerning linearity and functional behavior.

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Answer:

2.  Circumcenter is (-2, 1)

4.  Orthocenter is (5, 0)

6. II ∠DOS and ∠CAT are vertical and III ∠DOS and ∠CAT are adjacent

8.  m∠PBC = 30°

10.  KV, VM, KM

12.  DC is greater

14.  x = 12

Step-by-step explanation:

2.  Equation of the perpendicular bisector of AB is x = -2 and the equation of the perpendicular bisector of BC is y = 1.

Circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle.

Hence, circumcentre is (-2, 1).

4.  Orthocenter is the point of intersection of the altitudes. Here, AB and BC are two altitudes and B is their point of intersection.

Hence, the orthocenter is (5, 0).

6.  Adjacent angles are angles separated by a line and vertical angles are angles vertically opposite to each other.

Hence, statements II and III contradict to each other.

8.  If P is equidistant from all the three sides, then P is the center of the in-circle and hence it is the incenter of the triangle.

If P is the incentre, then PB is the internal bisector.

Therefore, ∠PBC = [tex]\frac{1}{2}[/tex] ∠ABC = 30°

10.  From the triangle sum property, ∠ M = 180 - (110 + 40) = 30.

Since, the side opposite to the smallest is the shortest, the correct order is:

KV, VM, KM

12.  Clearly, ∠ ABD is acute. Therefore, ∠ DBC > ∠ ABD.

Since, side opposite to larger angle is greater, DC is greater.

14.  Let the sides of the top triangle be p and q. So, two sides of whole triangle are 2p and 2q.

Now, if we compare the top small triangle and the whole triangle, they are similar by SAS similarity since,

the top angle is common and [tex]\frac{p}{2p}=\frac{q}{2q}=\frac{1}{2}[/tex].

Since, corresponding parts of similar triangles are proportionate,

[tex]\frac{3x}{5x+12} =\frac{1}{2}[/tex]

6x = 5x + 12

6x - 5x = 12

x = 12

Answer:

2.  Circumcenter is (-2, 1)

4.  Orthocenter is (5, 0)

6. II ∠DOS and ∠CAT are vertical and III ∠DOS and ∠CAT are adjacent

8.  m∠PBC = 30°

10.  KV, VM, KM

12.  DC is greater

14.  x = 12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A production possibilities curve shows the maximum amount of 2 goods that can be produced given the input is fixed.

So the point which uses resources inefficiently is the one inside the curve, which is Y.

Answer choice D is right.

nth term in an Arithmetic Sequence is given by :

✿  [tex]\mathsf{T_n = a + (n - 1)d}[/tex]

Where : a is the First term and d is the Common Difference

Given : First term (a) = 1 and Common Difference (d) = 5

[tex]\mathsf{\implies T_2_3 = 1 + (23 - 1)5}[/tex]

[tex]\mathsf{\implies T_2_3 = 1 + (22)5}[/tex]

[tex]\mathsf{\implies T_2_3 = 1 + 110}[/tex]

[tex]\mathsf{\implies T_2_3 = 111}[/tex]

So, The 23rd Term of the Arithmetic Sequence is 111

The 23rd term of the arithmetic sequence will be 111.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the 23 rd term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=1

The 23rd term will be calculated as,

T₂₃ = a₁ + d(n-1)

T₂₃ = 1 + 5(23-1)

T₂₃ = 111

Therefore, the 23rd term of the arithmetic sequence will be 111.

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Answer:

18 is your answer

the tickmarks on the vertices of B and C mean that those angles are twins, which means that the sides AB = AC, which means is an isosceles triangle.

now if AB = AC, then

[tex]\bf 8x-4=5x+11\implies 3x=15\implies x=\cfrac{15}{3}\implies \boxed{x=5} \\\\\\ BC\implies 4x-2\implies 4(5)-2\implies 18[/tex]

Answer:

x=3

Step-by-step explanation:

3(x+1)-8=14-2(3x-4)

3x+3-8 = 14 -6x+8

3x+3-8-14+6x-6=0

9x-27 = 0

9(x-3) = 0

x-3=0

x=3

The solution to the equation is x=3.

To solve the equation 3(x+1)−8=14−2(3x−4), you can follow these steps:

Distribute the constants and variables on both sides of the equation.

Combine like terms.

Isolate the variable on one side of the equation.

Solve for the variable.

[tex]\text{Starting equation: } & 3(x+1) - 8 = 14 - 2(3x-4) \\\text{Distribute terms: } & 3x + 3 - 8 = 14 - 6x + 8 \\\text{Combine like terms: } & 3x - 5 = -6x + 22 \\\text{Rearrange terms: } & 3x + 6x = 22 + 5 \\\text{Simplify: } & 9x = 27 \\\text{Solve for } x: & x = \frac{27}{9} = 3[/tex]

complete question;

The given equation is:

[tex]$$3(x+1) - 8 = 14 - 2(3x-4)$$[/tex]

If x and y are proportional, then the quotient y and x is constant.

[tex]\dfrac{y}{x}=a-constant[/tex]

The equation of a Proportional Relationship:

[tex]\dfrac{y}{x}=a\qquad\text{multiply both sides by }\ x\neq0\\\\y=ax[/tex]

Therefore your answer is

Answer:

Batman's equation of this scenario is not accurate.

Step-by-step explanation:

The exponential function representing this situation should be

[tex]y=a\cdot b^{nx},[/tex]

where a is the initial amount of  baddies living at Arkham asylum, b is the rate at which enemies increased, n is the number determing the period of enemies increasing and x is time in years.

In your case,

a=4 (initially there were 4 baddies living at Arkham asylum),

b=2 (the population doubled),

n=1/2 (the population doubled every 2 years).

Then

[tex]y=4\cdot 2^{\frac{x}{2}}.[/tex]

Note then when considering the function [tex]y=4\cdot 2^x[/tex] the population dubled each year, not every 2 years.

Batman's equation y=4(2)ˣ correctly models the doubling population of bad guys every 2 years. It uses an exponential growth formula that accurately calculates the population for any given 2-year period.

Yes, Batman's equation y=4(2)ˣ accurately represents the scenario of the population of bad guys doubling every 2 years. The equation follows an exponential growth model, where the initial population is 4, and it doubles with each increment of x, representing a 2-year interval. Therefore, for any given value of x (the number of 2-year intervals since the initial count), the equation will yield the correct population size.

To further illustrate, after the first 2-year interval (x=1), the population would be y=4(2)¹=8, which is double the initial population. After the second 2-year interval (x=2), the population would be y=4(2)²=16, continuing the pattern of doubling.

Put the values of x = 4 and y = -2 to the expression 5y² + 3xy - 2x.

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right).

[tex]5(-2)^2+3(4)(-2)-2(4)=5(4)-24-8=20-24-8=-12[/tex]

Answer:

B. If x isn’t divisible by 4, then x isn’t divisible by 2.

Step-by-step explanation:

contra positive statement is obtained by interchanging the hypotheses and conclusion of the inverse statement.

Here given that statement p is

If x is divisible by 4, then x is divisible by 2.

To write contrapositive of p, first we interchange the hypothesis.

Then it would look like

If x is divisible by 2, then x is divisible by 4.

Now we make conclusion as negative. i.e.

If x is not divisible by 4, then x is not divisible by 2.

This is the contra positive statement of p

Hence option B is right.

Answer:

C. If x isn’t divisible by 2, then x isn’t divisible by 4.

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

Answer: 18 pounds

Step-by-step explanation:

1) 9/ 10 = x/ 20

2) CROSS MULTIPLICATION: 10x/ 10= 180/10

3) Divide each side by ten and "x" is equal to 18

I hope this helped somewhat :)

[tex]\left\{\begin{array}{ccc}3x+y=9\\y=3x+6&\text{subtract 3x from both sides}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x+y=9\\-3x+y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=15\qquad\text{divide both sides by 2}\\.\qquad\qquad\boxed{y=7.5}\\\\\text{Put the value of y to the first equation}\\\\3x+7.5=9\qquad\text{subtract 7.5 from both sides}\\3x=1.5\qquad\text{divide both sides by 3}\\\boxed{x=0.5}\\\\Answer:\ \boxed{x=0.5\ and\ y=7.5\to(0.5,\ 7.5)}[/tex]

Answer:

5'3

Step-by-step explanation:

This question will look like this: 18/12  x/3.5. Remember about height/shadow.

You will need to cross multiply 18 and 3.5 and keep 12, x as 12x.

Now it will look like this: 12x=63. Divide that 63 with 12 and you will get 5.25.

Since there is a 5 next to that 2 you add 1 because 5 or higher add one and 5 or lower don't add anything.

You got rid of that 5 and added 1 to the 2, you will have 5'3

Hoped it helped!

Answer:

5000

Step-by-step explanation:

There are 1000 meters in a kilometer.

Bonjour !!

Answer:  5 kilometers  = 5000 meters

5 kilomètres = 5000 mètres

Step-by-step explanation:

1 kilometer = 1000 meters

Answer:

-0.39 and 3.89

Step-by-step explanation:

By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.

When you do the math of both of the equations it will give you the answers above

Answer:

D

Step-by-step explanation:

The original figure was was moved 2 units to the left (-2), and 5 units down (-5).

Answer:

D is correct.

Step-by-step explanation:

In the given figure two rectangle MNOP and M'N'O'P'

To choose correct transformation rule from MNOP to M'N'O'P'

So, we change for point M

M(-2,3) → M'(-4,-2)

If shift M 2 unit left

M(-2,3) → M(-2-2,3)

Now, shift 5 unit down

M(-2-2,3) → M(-4,-2) ⇔M'(-4,-2)

So,

(x,y) → (x-2,y-5)

Rule: (x,y) → (x-2,y-5)

Using this rule get MNOP to M'N'O'P'