Which values of P and Q result in an equation with exactly one solution? 2x+Q=Px−31 Choose all answers that apply: Choose all answers that apply: A -Q=−31 and P=−2 B- Q=31 andP=2 C - Q=−31 and P=2 D - Q=-2Q=−2 and P=2

Answer:

The area of the box is equal to 9^3 = 729 in^3

729<1000  

Step-by-step explanation:

No since the volume of the box is less than the total volume of the cubes

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

Note: I don't know which one the computer is looking for.

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:

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

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:

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 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:

[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

Answer:

3 miles per hour

Step-by-step explanation:

We need to subtract the two numbers to find the difference in speeds

4/5 - 3/4

We need to get a common denominator of 20

4/5 *4/4 - 3/4 *5/5

16/20 - 15/20

1/20  

The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.

The question asks for miles per hour, not miles per minute.  We know  that there are 60 minutes per hour.

1/20 miles per minute * 60 minutes / hour

60/20 miles/hour

3 miles/ hour

The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.

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:

m∡P = 80°

Step-by-step explanation:

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

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.

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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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:

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:

Distributive Property

Step-by-step explanation:

They distributed the -3 to x and 4. In this case, to distribute the -3, you multiply it to each term.

-3 × x = -3x.

-3 × 4 = -12.

-3x - 12

Answer:

Do you have the rest of the answers for the test??? I'm taking it right now

Step-by-step explanation:

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 :)

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:

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]

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:

7/11 = 0.6363... and so on.

Step-by-step explanation:

How I did it: 7/11  =      11   so over the 7 you put a 0 and . over the 0s you put 636363 under the 7 you put a 6 and under the 0 next from the 7 you put a 6 also under the 6. then you put a line under the 66. under the 6 from the right you put a 4 next to the four you put a 0 then you make 33 under the 40 and make a line. on the 3 of the right side you put a 7 under and take a 0 again you put 66 under the 70 and make a line, underthe line you put 40 again but you put the 4 under the 6 on the right side and then put 33 under 40 make a line and put 7 on the right side of the 33 and the 0: 70. thats it I hope you understood! and it helped.

Goodluck!

^.^

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.

Step-by-step explanation:

Let's get an important definition out of the way first. A parallelogram is a quadrilateral with two pairs of parallel sides. We can translate this idea to coordinate geometry by saying that each pair of opposite sides must have the same slope.

Slope, as you might remember, is a measure of change. Specifically, it's the change in a line's y value (Δy) divided by the corresponding change in its x value (Δx). This means that if we can prove that:

We'll have proved our figure is a quadrilateral. Let's prove those cases, then. For KA and IT:

[tex]slope_{KA}\stackrel{?}{=}slope_{IT}[/tex]

To find the slope of any line segment, we can find the difference between the corresponding coordinates of its endpoints and divide the difference in y-coordinates by the difference in x-coordinates. Since the endpoints of KA are K(0, 0) and A(a, 0), the slope of these points is

[tex]slope_{KA}=\frac{0-0}{a-0} =\frac{0}{a} =0[/tex]

We can do this same for IT using its endpoints I(a + b, c) and T(b, c):

[tex]slope_{IT}=\frac{c-c}{b-(a+b)} =\frac{0}{-a}=0[/tex]

Since 0 = 0, we can say that [tex]slope_{KA}=slope_{IT}[/tex], and we've proven our first condition. Now we just need to prove that [tex]slope_{KT}=slope_{AI}[/tex]:

[tex]slope_{KT}\stackrel{?}{=}slope_{AI}[/tex]

Using K(0, 0) and T(b, c), [tex]slope_{KT}=\frac{c-0}{b-0}=\frac{c}{b}[/tex], and using A(a, 0) and I(a + b, c), [tex]slope_{AI}=\frac{c-0}{(a+b)-a}=\frac{c}{b}[/tex], proving that [tex]slope_{KT}=slope_{AI}[/tex].

Since we've proven that [tex]slope_{KA}=slope_{IT}[/tex] and [tex]slope_{KT}=slope_{AI}[/tex], we've proven that the quadrilateral KAIT is, by definition, a parallelogram.

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:

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 : )