Which scenario best matches the graph below?​

Answer:

Option (3)

Step-by-step explanation:

To construct a line parallel to the line through point Q we will follow the following steps,

1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.

2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)

3). Finally we will join points Q and S to construct a line QS parallel to the line PT.

Therefore, Option (3) will be the answer.

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

Answer:

[tex] {x}^{2} = 16 \\ x = 4 \\ y = 1[/tex]

Answer:

f(x) = (1/2)(x-2)^2(x+1)(x+2)

Step-by-step explanation:

You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.

Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.

However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.

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Answer:

see explanation

Step-by-step explanation:

Given

2x + 3y = 4 ( subtract 2x from both sides )

3y = - 2x + 4 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex]

To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = - [tex]\frac{4}{3}[/tex] + [tex]\frac{4}{3}[/tex] = 0 ≠ 1

Ths (2, 1) does not lie on the line

Answer:

-1

Step-by-step explanation:

on the number line the numbers to the left have least value

answer is 15

[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]

If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.

option D is correct.

Here, we have,

given that,

f(x) = 5x + 40

now, we have to find the value of f(x) when x = -5.

To find the value of f(x) when x = -5,

we substitute -5 into the function f(x) = 5x + 40:

we get,

f(-5) = 5(-5) + 40

= -25 + 40

= 15

Therefore, f(x) when x = -5 is 15.

Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.

option D is correct.

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Answer:

Step-by-step explanation:

25

Step-by-step explanation:

(A)

Length of wire = 30.48 m

Area of cross section = 3.22 * 10 ^ -5 m^2

[tex]R = k \frac{l}{a} [/tex]

[tex]k = \frac{R \times a}{l} = \frac{0.08 \times 3.22 \times {10}^{ - 5} }{30.48} = 8.45 \times {10}^{ - 8} ohm \: m^{ - 1} [/tex]

(B) length of wire = 1219.2 m

Area of cross section = 1.29 * 10^-5 m^2

Resistance = 8.45 * 10^-8 * 1219.2 / 1.29 * 10^-5 = 7.98 Ohms

Answer: True

If one variable goes down, then the other goes up, and vice versa. Think of it like a see-saw. We'll have x on one side pushing down to make y go up. An example of this would be y = 1/x which graphs out a hyperbola.

The statement "two variables is inverse when a decrease in one variable is associated with an increase in the other variable." is True statement.

One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease. Building a wall would be an example of an inverse proportion in action.

Given:

We know in direct relation if one quantity increase then another quantity increase.

and, in Inverse Relation if one quantity increase then other Quantity decrease.

So, two variables is inverse when a decrease in one variable is associated with an increase in the other variable is true statement.

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Step-by-step explanation:

Initially, let the side of the cubical box is [tex]a[/tex] inches,

So, the volume of the box, [tex]x = a \times a \times a= a ^3[/tex].

Given that [tex]g(x)=\sqrt[3]{x} =\sqrt[3]{a^3}[/tex]

[tex]\Rightarrow g(x)=a \; \cdots (i)[/tex]

On doubling the volume of the box, the new volume is [tex]2x[/tex].

So, [tex]g(x)=\sqrt[3]{2x} =\sqrt[3]{2a^3}[/tex]

[tex]\Rightarrow g(x)=\sqrt[3]{2} a \; \cdots (i)[/tex]

As [tex]\sqrt[3]{2} >1[/tex], so the graph of  [tex]g(x)=\sqrt[3]{2} a[/tex] will be above of the [tex]g(x)=a[/tex] as shown in the graph.

Answer:

90 inches³

Step-by-step explanation:

Given that:

A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.

The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches

Volume of rectangular prism = (width * length * height)

Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³

Volume of larger prism : (5 * 4 * (1 +3)) inches

(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³

Total volume of the new packaging:

Volume of smaller + volume of larger prism

10 inches³ + 80 inches³ = 90 inches³

Answer:

add 5.2

Step-by-step explanation:

Answer:

you divided and the answer is 1/6

Step-by-step explanation:

Answer:

1.) You would  divide  to solve this problem.

2.) Each runner will get  1/6  gallon of apple juice.

Step-by-step explanation:

I'm SO sorry for the late answer, but I do hope this helps! Have a good day and stay safe! :D

(I'm not sure on how to explain this answer, sorry!)

Answer:

Step-by-step explanation:

the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)

Answer:

[tex]AM =40[/tex]

Step-by-step explanation:

Given

[tex]AM = 5x + 10[/tex]

[tex]MB = 4x + 16[/tex]

Required

Determine AM

Since M is the midpoint, we have that;

[tex]AM = MB[/tex]

Substitute values for AM and MB

[tex]5x + 10 = 4x + 16[/tex]

Collect Like Terms

[tex]5x - 4x = 16 - 10[/tex]

[tex]x = 6[/tex]

To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]

[tex]AM = 5 * 6 + 10[/tex]

[tex]AM =30 + 10[/tex]

[tex]AM =40[/tex]

Hey there! I'm happy to help!

We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.

am/c=n

We multiply both sides by c.

am=nc

We divide both sides by a.

m=(nc)/a

I hope that this helps! Have a wonderful day! :D

Answer:

Step-by-step explanation:

In Euclidean geometry there are three undefined terms: Points, line and plane. An angle is a defined term, since it is formed by two lines that intersects each other and are coplanar.

Answer:

The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).

Answer:

infinite solutions

y = x - 1/4

Step-by-step explanation:

4x - 4y = 1

4y = 4x - 1

y = x - 1/4

substitute

4x - 4(x - 1/4) = 1

4x - 4x + 1 = 1

0 = 0

infinite solutions

Answer:

121

Step-by-step explanation:

Because every one of them shook with each other and one person shook 11 times so 11 into 11 is 121.

Answer:

55 handshakes.

Step-by-step explanation:

  n(n-1)

   ----------

         2

= 11(11-1) / 2

= 11* 10 / 2

= 110 / 2

= 55

Hi there! :)

Answer:

6x² -xy - y²

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

(3x + y) ( 2x - y)

FOIL: (First, Outer, Inner, Last)

3x(2x) + 3x(-y) + y(2x) + y(-y)

Simplify:

6x² -3xy + 2xy - y²

6x² -xy - y²

Answer:

answer is in the box. I hope this helps! :)

Answer:

Step-by-step explanation:

Y=1/2x - 5/2

Answer:

About 11.62 by 11.62

A square had equal sides so you find the square root of 135 and that is rounded to 11.62.

So the perimeter would be about 46. But 46.48 exactly.

Answer:

P≈46.48

A= Area

135

Step-by-step explanation:

21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.

46: 1, 23, 46.

57: 1, 3, 19, 57.

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

The numbers 21, 46, and 57 are composite numbers.

Given,

21, 46 and 57

We need to identify which are prime or composite numbers.

Prime number - The numbers whose factor is only 1 and itself.

Example: 2, 5, 7

2 x 1 = 2

5 x 1 = 5

7 x 1 = 7

Composite number - The numbers which have factors other than itself and 1.

Example: 4, 6, 8

4 = 2 x 2

6 = 2 x 3

8 = 2 x 4

Find the factors

21 - 7 x 3

46 - 2 x 23

57 - 3 x 19

We see that each number has factors other than 1 and itself.

So,

21, 46, and 57 are composite numbers.

Thus 21, 46, and 57 are composite numbers.

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Answer:

the answer is A

Step-by-step explanation:

just did it

Answer:

a

Step-by-step explanation:

Answer: 16 is the correct answer.

Step-by-step explanation: -n if n=-16 --16 two negatives equal positive and makes it +16.