Which equation shows a proportional relationship? *

y= -2x +5
y= 3+ 5x
y= -3x

Answer:

1 7/18

Step-by-step explanation:

2 7/9= 25/9

25/9 divided by 2 is 25/18

Answer:

1 7/8

Step-by-step explanation:

2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!

Mean for start of school year is 6.5; Mean for end of school year is 7.2.

Median for start of school year is 6.5; Median for end of school year is 7.

To find the means, list out each data value given for each dot plot and calculated the mean.

Mean for start of school year:

We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9

Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14

= 91/14

Mean ≈ 6.5

Mean for end of school year:

We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9

Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14

= 101/14

Mean ≈ 7.2

Median represents the middle data value in a data set, therefore:

Median for start of school year = ( 6 + 7)/2 = 6.5

Median for end of school year = ( 7 + 7)/2 = 7

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Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

24.7

Step-by-step explanation:

c² = a² + b²

c² = 9.0² + 23.0²

c² = 81 + 529

c² = 610

c = 24.7

Let's call H the number of hours she dances. So, one group of sponsors will donate a total, in dollars:

Also, the other group of sponsors will donate a total, in dollars:

So, she will make:

For that value to be at least $500, we have:

Now, we can find the number of hours Trace should dance if she wants to raise at least $500 by solving the above inequality.

We obtain:

Therefore, she should dance for at least 70.83 hours. Rounding to the nearest integer hour, we can say she should dance for at least 71 hours.

The value of the expression 9(4 + 9) using the distributive property is 117.

To evaluate the expression 9(4 + 9) using the distributive property, we need to distribute the 9 to both terms inside the parentheses.

First, we distribute the 9 to the term 4:

9 * 4 = 36

Next, we distribute the 9 to the term 9:

9 * 9 = 81

Now, we can rewrite the expression with the distributed values:

9(4 + 9) = 9 * 4 + 9 * 9

Substituting the distributed values:

= 36 + 81

Finally, we can perform the addition:

= 117

Therefore, the value of the expression 9(4 + 9) using the distributive property is 117.

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Based on the cost of the Verizon and AT&T plans, the number of months it will take till they are the same is 25 months.

First find out the difference between the monthly payments of both plans:

= 70 - 50

= $20

You would be paying $20 more per month with Verizon. This is the amount that would then pay for the phone.

The number of months it would take to do so is:

= 500 / 20

= 25 months

In conclusion, it will take 25 months for the cost to be the sane.

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Given relation, R CAXA. Define Q to be the set of all symmetric relations that contain R, i.e.

Q = {S CAXA: R CSAS = S*}.

Define Z = RUR*.

We need to prove that Z = 2.

Let's start the proof: Z ⊆ 2: Suppose (a, b) ∈ Z. This means that there exists an element c in A such that a R c and c R b. We can write this as a R b. Since R ⊆ RUS, we have a RUS b. Since S is symmetric, b RUS a.

Therefore, (a, b) ∈ 2. This implies that Z ⊆ 2.2 ⊆ Z: Suppose (a, b) ∈ 2. This means that a RUS b. Since R ⊆ RUR*, we have a RUR* b. Therefore, (a, b) ∈ Z. This implies that 2 ⊆ Z. We have proved that Z = 2, as required. Hence, the result is proven.

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Answer:

-18 10

5 -3

Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

Answer:

x = 15

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

x = \(\sqrt{225}\) = 15

Answer:

I did this quickly, so please check the logic.

I find x = 15

Step-by-step explanation:

See attached image.  Note that I've defined 3 triangles and their Pythagorean equations.  I also define a third line, RQ, as z.  Rearrange the equations and substitute in a way that allows elimination of all variables except x.

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:

5/1 or just 5

Step-by-step explanation:

rigtht 15:3 as 15/3 and then cancel 15 and three (3x1=3 and 3x5=15)

Answer:

done by a calculator =w=

Answer:

C) 0.972

Step-by-step explanation:

I am just as confused as you are but i tried understanding what "at least one" meant and my 2nd option was X>= 1, or something to that effect where 10 to 1 coupons being possible.

Savings = $4000

The ratio of income to expenditure = 6 : 5

Expenditure = $20000

Income = $24000

Savings = Income - Expenditure

Savings = $24000 - $20000

Savings = $4000

Answer:

I might be wrong, but if I did this right it would be D.

Step-by-step explanation:

I'm sincerely sorry if I got this wrong.

Answer:

B. 3.72 x \(10^{7}\)

Step-by-step explanation:

The distance between the sun and Mercury is approximately 36,000,000 miles.

Move the decimal point 7 positions to the left so that there is only one digit to the left of it.

Multiply that number by 10 raised to the power of 7

7 is the number of positions that the decimal point was moved.

I do not know this subject too well but hopefully this helps.

Answer:

i think is the third one

The base of the parallelogram formed from the circle is half the circumference or πr .

A circumference is the length of the circle which is the perimeter of the circle.

The circumference of the circle can be given by the formula C = 2πr , where r is the radius of the circle.

If a circle is divided into equal sectors then the approximate size of the polygon formed by rearranging the sectors is a parallelogram.

The base of the parallelogram will be half of the circumference , or

base = 0.5 × 2 πr = πr

And the height will be the radius r of the circle.

Now area of a parallelogram is given by  base × height

Now area = πr × r = πr²

Therefore the area of the circle is πr² .

Hence the base of the parallelogram formed from the circle is half the circumference or πr .

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Answer:

7

Step-by-step explanation:

Divide the 42 by 6 to get your answer. 42/6=7

This also works in reverse. 6*7=42

The answer: 42 is the product of 6 and y=7

Ok done. Thank to me :>

Answer:

0.001

Step-by-step explanation:

\(10^{-3}=\dfrac{1}{10^{3}}=\frac{1}{1000}=0.001\)

Answer:

$32

Step-by-step explanation:

1.20÷100×40=8

2.$40-$8=$32

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

x < -12

Step-by-step explanation:

-3x > 81 - 45

-3x > 36

x < -12

The equation of the parabola in standard form whose vertex is (0, 0) and a focus along the negative part of the x-axis is equal to x² = - 6 · y. (Correct choice: D)

In accordance with the statement, we find that the parabola has its vertex at the origin, therefore it is horizontal and its vertex constant (C) is negative as its focus is in the negative part of the x-axis. Therefore, the equation of the parabola in standard form has the following form:

x² = C · y, for C < 0.     (1)

In consequence, the equation of the parabola in standard form whose vertex is (0, 0) and a focus along the negative part of the x-axis is equal to x² = - 6 · y.

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We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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Step 1:

First, we need to determine if the triangle is solvable or not by applying the triangle inequality theorem which states that the sum of any two sides of a triangle must be greater than the measure of the third side

In our case,

Therefore, the triangle is solvable

Step 2:

The given sides of the triangle are a = 6.3, b = 9.3, c =8.3

We need to find the three angles of the triangles labelled above. In order to do this, we need to apply the cosine rule,

To calculate the first angle α,

To calculate the second angle β

To calculate the third angle,

Therefore, the measures of the angles of the triangle are:

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3