What expressions are equivalent to 3(4x+3)?

Answer:

1. Slope = -2

2. Slope = ⁴/3

3. Slope = -3

4. Slope = 1

Step-by-step explanation:

1. Using two points on the line, (0, 0) and (-1, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{-1 - 0} = \frac{2}{-1} = -2 [/tex]

2. Using two points on the line, (0, 0) and (3, 4):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{4 - 0}{3 - 0} = \frac{4}{3} [/tex]

3. Using two points on the line, (0, 0) and (-1, 3):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{3 - 0}{-1 - 0} = \frac{3}{-1} = -3 [/tex]

4. Using two points on the line, (0, 0) and (2, 2):

[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

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Explanation:

We have AB = 3 and A'B' = 1.5; the ratio between the two segment lengths is (A'B')/(AB) = (1.5)/(3) = 1/2 = 0.5

Similarly,

You only need to pick one of these statements to be able to find the scale factor. The scale factor of 1/2 or 0.5 indicates that the image is half as small compared to the preimage. More specifically, each segment of the image is half as small compared to the corresponding segment on the preimage.

We don't have numbers for AE and A'E', but the last statement above must be true because the dilation applies to all segment lengths.

The scale factor of this dilation in the given quadrilateral will be equal to 0.5 times.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

AB = 3 and A'B' = 1.5;

Then, a ratio of the two segment lengths exists.,

(A'B')/(AB) = (1.5)/(3) = 1/2

(A'B')/(AB) = 0.5

In the similar way,

(B'C')/(BC) = (3)/(6) = 1/2

(B'C')/(BC) = 0.5

(C'E')/(CE) = (2.5)/(5) = 1/2

(C'E')/(CE) = 0.5

A'B' is half as small as AB, B'C' is half as small as BC, C'E' is half as small as CE, A'E' is half as small as AE.

To know more about Polygon:

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Answer:

25%

Step-by-step explanation:

plz mark brainliest

Answer:

As i understand, you put an egg inside a container, and then you drop it from 30ft above the ground.

Now, when the container is in the air, the only force acting on it will be the gravitational force (we can discard things like the air resistance, as we do not know the shape or volume of the container).

The gravitational acceleration is g = 32.2ft/s^2

Then the acceleration of the container will be:

A(t) = -32.2ft/s^2

For the velocity, we need to integrate over time to get:

V(t) = (-32.2ft/s^2)*t + v0

where v0 is the initial velocity, as the container is "dropped", the initial velocity is zero, then:

V(t) = (-32.2ft/s^2)*t

For the position, or height in this case, we integrate again over time, and get:

P(t) = (1/2)*(-32.2ft/s^2)*t^2 + p0

Where p0 is the initial height, 30 ft in this case.

Then the equation for the height, as a function of time, is:

P(t) = (-16.1ft/s^2)*t^2 + 30ft.

Where the fact that the container is made in such a way that an egg inside of it does not break (For example, made of a really dense and elastic material that can absorb all the energy of the impact), does not change anything in this equation, as the kinematics do not depend on that kind of properties.

Answer:

Answer:650 people were surveyed

Answer: a) x = 5   b) x = 12

Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :

1. x + 3 = 8

2. x + 3 - 3 = 8 -3

    ( + 3 - 3 cancels out)

3. x = 5

a. x + 3 = 8

x = 8 - 3

x = 5

b. x - 5 = 7

x = 7 + 5

x = 12

Answer:

x-y

Step-by-step explanation:

9514 1404 393

Explanation:

In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.

That being said, you need to consider the meaning of an equation involving the absolute value function.

The function itself is piecewise defined:

  [tex]\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.[/tex]

So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.

__

Example 1:

  |x+1| > 3

is equivalent to the two disjoint conditional equations ...

  (x +1) > 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) > 3  and  (x +1) < 0

the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:

  x < -4  or  x > 2

__

Example 2:

  |x +1| < 3

is equivalent to the two disjoint conditional equations ...

  (x +1) < 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) < 3  and  (x +1) < 0

The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:

  -4 < x < 2

__

When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.

Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.

Example 3:

  |x +1| = 3

is equivalent to the two conditional equations ...

  (x +1) = 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) = 3  and  (x +1) < 0

The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:

  x = -4  or  x = 2

__

The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.

Answer:

B

Step-by-step explanation:

the x  and y are both incresing at the same rate

Step-by-step explanation:

I guess u can try Making graphs

D is the right one

My suggestion for u is that u can be sure by making graph

try it

hope this will help you

BORAHAE

Answer:

proportional

Step-by-step explanation:

because none of the number repeat :) hope that helped

Answer:

18 1/5

Step-by-step explanation:

1. First, we can convert all the x's into 3's

Our Equation: 3+1/2 + 15 - 3/10

2. Now we know that 3+1/2 = 3 1/2

Our Equation : 3 1/2 + 15 - 3/10

3. Now, we can add 3 1/2 + 15

Our Equation: 18 1/2 - 3/10

4. Next we can convert 1/2 so that the denominator is 10 and we get 18 5/10

Our Equation: 18 5/10 - 3/10

5. Now, we can subtract 3/10 from 5/10

Our Answer: 18 2/10 or 18 1/5

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!! :)

Answer:

(4,0)

Step-by-step explanation:

i took the test and i got the wrong answer :/

Answer:

Its C 4,0 I took the test and got 100%

Step-by-step explanation:

Answer:

it is 3:1

Step-by-step explanation:

Answer:23%

Step-by-step explanation:

1

We are given the data:

2

The definition of percent increase is:

3

We determine the percent of increase:

Answer:

9.1 gallons of water.

Step-by-step explanation:

A standard showerhead dispenses 21 gallons of water in 30 mins. At this rate, how many gallons of water will a standard showerhead dispenses in 13 minutes?

30 minutes = 21 gallons

13 minutes = x gallons

Cross Multiply

30 minutes × x = 13 minutes × 21 gallons

x = 13 minutes × 21 gallons/30 minutes

x = 9.1 gallons of water

Therefore, a standard showerhead dispenses 9.1 gallons of water in 13 minutes.

Answer:

2l+28*7=

28*7=196

196+21= 217

Step-by-step explanation:

First you would multiply 28 and 7 then you'll get 196. Then you add 21 and get 217.

Answer:

.50

Have a good day

Answer:

hope this helps

Step-by-step explanation:

he need to get it done within the hour

Answer:

the answer is 30 in2

Step-by-step explanation:

Answer:

the value of the expression is -16

Step-by-step explanation:

[tex]-5^{2} + 3^{2}[/tex]

Answer:

−2⋅(x+3y−2)

Step-by-step explanation:

Step-by-step explanation:

(6x + 3y + 4) - (8x +9y)

6x + 3y + 4 - 8x - 9y)

-2x -6y + 4 (.°. Take 2 as common)

2(-x -3y + 2)

-x -3y + 2 = 0

or

x + 3y - 2 = 0

Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

Answer:

what are you trying to find?

Answer:

(3x)(x-2)(x-1)

Step-by-step explanation:

First we can factor out the 3x from each and are then left with x^2-3x+2. Now we can go ahead and factor. Looking for two variables that multiply to become positive 2 and add to become negative 3, we get negative 2 and negative 1. We now know that both (x-1) and (x-2) are factors. We now have all three factors and we can multiply to check if we get the right answer, and we do.

Answer:

6x+8y = 3

Step-by-step explanation:

we have 3x + 4y = 7

4y = -3x + 7

y = -3/4 x + 7/4

so slope is -3/4

2 parallel lines always have same slope

so the slope of our new line is -3/4

so y = -3/4 x + C

for c,

we have (x,y) = (-2/3,7/8)

7/8 = -3/4 * -2/3 + C

C = 3/8

so equation is

y = -3/4 x + 3/8

simplyfyig,

8y = -6x + 3

or, 6x+8y = 3