Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.

Answer:20

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

20 students

We know that 5% of 100 is 5

And 5% of 200 is 10

5% of 300 is 15

So that must mean 5% of 400 is 20

Hopefully this solves your problem! Hope you have a good day!

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Answer:

y=3(x-2)^2-12

please let me know if its right.

Answer:

where's the line? Can't answer it without it.

Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer

x+y+z=10

1.25x+2.75x+3.15x+18.90

x=2z

Step-by-step explanation:

x=almonds

y=walnuts

z=cashews

9514 1404 393

Answer:

Step-by-step explanation:

We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...

  a +w +c = 10 . . . . . total pounds of nut mix

  a = 2w . . . . . . . . . twice as many almonds as walnuts

  1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix

__

Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.

We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.

  2w +w +c = 10   ⇒   3w +c = 10

  1.25(2w) +2.75w +3.15c = 18.90   ⇒   5.25w +3.15c = 18.90

Solving the first of these equations for c, then substituting into the second of these equations gives ...

  c = 10 -3w

  5.25w +3.15(10 -3w) = 18.90

  -4.20w +31.50 = 18.90 . . . . simplify

  12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90

  3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20

  c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c

  a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a

The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.

_____

Additional comment

The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.

Answer:42

Step-by-step explanation:

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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Answer:

(38.8%...7/10), than (47%...8/17) I didnt know if u needrd it in fraction or percent.

Step-by-step explanation:

You want to first add up everyone. So in total there are 18 people.

There is than a 38.8% chance that a independent will be picked first. 7/18.

But since one person was picked already you have to subtract 1 person from the total, so now its out of 17.

There is now a 47% chance that a democrat will be picked next. 8/17.

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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Answer:

216

Step-by-step explanation:

Here, we are required to find the total length of yarn louisa cuts?

Number of pieces of yarn = 7

Length of each piece of yarn = 28 hundredths meters long.

Tenth = 0.1

Hundredth = 0.01

Thousandth = 0.001

28 hundredths = 28 × 0.01

= 0.28

Therefore,

Length of each piece of yarn = 0.28 meters long

Total length of yarn louisa cuts = 0.28 meters long × 7 pieces

= 1.96 meters long

In conclusion,

Total length of yarn louisa cuts is 1.96 meters long

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Okay, here we have this:

Let's solve the table polynomial by polynomial:

Polynomial 1:

We will first find its simplified form:

Name by degree of the polynomial: quadratic.

Polynomial 2:

Let's simplify it:

Name by number of terms: Binomial

Polynomial 3:

Name by degree of the polynomial: constant

Name by number of terms: Monomial

Based on the equation, the value of x in 8x^2 + 9 = 313 is 6.2

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The quadratic equation is given as

8x^2 + 9 = 313

Subtract 9 from both sides of the quadratic equation

So, we have

8x^2 + 9 - 9 = 313 - 9

Evaluate the difference in the above equation

So, we have

8x^2 = 304

Divide both sides of the quadratic equation by 8

So, we have

8x^2/8 = 304/8

Evaluate the quotient in the above equation

So, we have

x^2 = 38

Take the square root of both sides

x = 6.2

Hence, the value of x in the quadratic equation given as 8x^2 + 9 = 313 is 6.2

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Answer:

The answer is no this number is not rational.

Step-by-step explanation:

Because, To show that the rational numbers are dense:

It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

Answer: 90 yards

Step-by-step explanation:

10 by 3 by 3 is 90

For 4 rides the total charge be the same at both places

Two or more expressions with an Equal sign is called as Equation.

Funtime Carnival charges a $3.00 entrance fee and $1.00 per ride

Crazy Carnival charges a $5.00 entrance fee and $0.50 per ride.

We need to find for how many rides will the total charge be the same at both places and the cost.

For carnival the equation will be 3+1x

Crazy Carnival equation will be 5+0.5x

Now equation both the equations

3+x=5+0.5x

Subtract 0.5x on both sides

3+x-0.5x=5

3+0.5x=5

0.5x=2

x=2/0.5=4

Hence, For 4 rides  the total charge be the same at both places

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Answer:

$1.50 per card

Step-by-step explanation:

Knowns:

$10 to spends, Wants to buy $7 book and two equal priced cards.

10 = 7 + 2x

Subtract 7 from both sides to find out how much money Dave has after he buys his book.

3 = 2x

Divide each side by 2 to find out how much he cana spend on each card

x = 1.50

i hope this helps!

-TheBusinessMan

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.

If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.

However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.

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Answer: 8/729

Step-by-step explanation:

There are 18 marbles in total.

Multiplying, we get \((1/3)(4/9)(2/9)(1/3)=8/729\)

Answer:

x+4=10, x-3=13

Step-by-step explanation:

9.)  x = the number of slices of pizza that Adam shares.

    Adam doesn't share 4 slices, meaning that is the leftover amount

    10 is the number of all the slices of pizza before Adam share

The amount that he shares plus the amount that he doesn't share has to equal the total amount, which is 10. therefore the only possible equation would be x+4 = 10

10.) x is the number of dollars in her wallet BEFORE she makes the transaction. if she pays with 3 dollars, then that would be x - 3. it states that the number of dollars left AFTER the transaction is 13, which would be

x - 3 = 13

Answer

x = 7 units

NP = 13 units

KM = 26 units

Explantion

The fact provided that N is a midpoint of KL and P is a midpoint of LM proves that triangle NLP is exactly half the measure of triangle KLM.

And the two triangles are similar to each other.

So, we can see that NP is the corresponding side to KM.

And since KLM = 2 (NLP),

KM = 2 (NP)

KM = 33 - x

NP = x + 6

KM = 2 (NP)

33 - x = 2 (x + 6)

33 - x = 2x + 12

We can rewrite this as

2x + 12 = 33 - x

2x + x = 33 - 12

3x = 21

Divide both sides by 3

(3x/3) = (21/3)

x = 7

NP = x + 6 = 7 + 6 = 13 units

KM = 33 - x = 33 - 7 = 26 units

Hope this Helps!!!

Let radius of a sphere r and the surface area S.

dr/dt = 80 cm/min

And the surface area is

S = 4πr^2

Differentiate the equation as respect to t, then

dS/dt = 8πr × dr/dt

For r=40cm

dS/dt = 8π×40cm×80cm/min=2560π cm^2/min

Answer:

i think its d

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A, B, and C do not result in quotients. They result in sums, products etc.

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

F(x)=82(2)+il/3

Step-by-step explanation:

Answer:

b. y = - 2x² – 3x + 5

Step-by-step explanation:

If you check on a graphing calculator or desmos, you will see that the parabola opens down, so there is a highest point, or a maximum. You can also know that without a calculator by looking at the sign in front of x. Since answer choice b is the only one with a negative in front (meaning that the parabola opens down giving you a maximum) then you will know that that's the correct answer.