How many proportional relationships are shown in the coordinate plane below?

Answer:

And x=12 are the two numbers.

Step-by-step explanation:

x+y=20-----(1)

Let x be the larger number of the two.

x=2y-4

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

Adding (1) and (2) we get 3y=24 so y=8

And x=12 are the two numbers.

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

========================================================

Explanation:

Start with the f(x) function. Then plug in g(x) like so

[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]

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

Now we'll start with the g(x) function and then plug in f(x)

[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]

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

We've shown that the two equations are true

Therefore, f and g are inverses of each other.

Answer:

(2 x^2 z^13)/(z^8 y^5)

Hope This Helps!!!

Answer:

2xz⁵/y⁴

Step-by-step explanation:

16/8 = 2

x²/x = x

y/y⁵ = y⁻⁴

z¹³/z⁸ = z⁵

Answer:

Distance is 100 m

Step-by-step explanation:

From second equation of motion;

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ [/tex]

[tex]{ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}[/tex]

The distance covered is 200m

Data;

To find the distance covered by the object, we have to use the formula

of velocity. But we are not given the velocity or speed of the object here.

[tex]v = s/t[/tex]

where s and t are the distance and time respectively.

But from acceleration,

[tex]a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s[/tex]

The velocity of the object is 20m/s

let's use this to find the distance covered.

[tex]v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\[/tex]

The distance covered is 200m

Learn more on acceleration, distance, velocity and time here;

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Answer:

Pretty sure it is SAS as the angles are congruent

Step-by-step explanation:

Answer:

number 4

Step-by-step explanation:

both triangles use the aa as a point

Answer:

19

Step-by-step explanation:

BODMAS

Brackets.

Of

Division

Multiplication

Addition and

Subtraction

go according to the BODMAS rule and solve the division first

24-(16÷4)×2+3

Then solve the multiplication part

24-(4×2)+3

Now solve like a regular sum

24-8+3

16+3

19

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]\frac{38}{100} (12)[/tex]

[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]

[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]

[tex]=\frac{(19)(12)}{(50)(1)}[/tex]

[tex]=\frac{228}{50}[/tex]

[tex]4.56[/tex]

ANSWER:

[tex]\frac{114}{25}, OR: 4.56[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

1

Step-by-step explanation:

I not completely sure but I think it 1

Using the z-distribution, it is found that the p-value is of 0.0192.

At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

For each sample, the size, the proportion and the standard error are given by:

[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]

[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.043 - 0}{0.0208}[/tex]

[tex]z = 2.07[/tex]

The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.

A similar problem is given at https://brainly.com/question/15545277

Answer:

1: NOT A FUNCTIN

Step-by-step explanation:

2/5 cup of sugar

you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

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Answer: $3583.33

Step by Step Explanation:

43,000 * 1/12 = 43,000/12 = $3583.33

Answer:

k=100, n=3, 1.5625, 10

Step-by-step explanation:

To find n and k, we can plug x and z in.

First we can try this for (1,100). We will get:

[tex]100=\frac{k}{1^{n} }[/tex]

Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.

Armed with k=100, we can plug numbers into the second equation.

[tex]12.5=\frac{100}{2^{n} }[/tex]

Moving [tex]{2^{n} }[/tex] to the left side, we get:

[tex]2^n=\frac{100}{12.5} }=8[/tex]

therefore we can solve and we see that n=3.

We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z

[tex]z=\frac{100}{4^{3}} =1.5625[/tex]

We will do the same as previous but instead plug in x

[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]

We isolate [tex]x^{3}[/tex] and get

[tex]x^{3} =1000[/tex]

Therefore x=10

Answer:

A

Step-by-step explanation:

The line starts at -35, meaning that she starts the ascent 35 meters below the surface and goes upwards over time.

Answer:

a

Step-by-step explanation:

the starting point of the graph or also known as the y axis starts at -35

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

Answer:

14, 31, 62

Step-by-step explanation:

11 + 3 = 14

14*2 = 28

28 + 3 = 31

31*2=62

Answer: the answer would be C

Yes, the television is approximately 8 inches shorter than the space.

Step-by-step explanation: My name is Ebenezer Haile

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function  g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

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#SPJ3

1x-12x=0.88x

1x-12x=0.88x

11x=0.88x

-11x=0.88x-0.88x

-11.88x=0x

-11.88x=0

Isolate x

Answer:

The height, in feet, of the rock after 5 seconds = 875 feet

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since the weight is proportional to the cost, let's find the slope of the chart.

(x,y) corresponds to (weight, cost)

Pick 2 coordinate points with both the weight and cost.

(4, 23.96) (6, 35.94)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{35.94-23.96}{6-4}= 5.99[/tex]

One pound is 5.99 dollars.

So to fill in the chart, multiply 5.99 by the number of pounds.

y=5.99x

2 lbs | $11.98

3 lbs | $17.97

4 lbs | $23.96

5 lbs | $29.95

6 lbs | $35.94

With this information, C would be the correct answer.

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

Step-by-step explanation:

remember 3 things

1. 3 = 3/1 (any integer is also a fraction of itself divided by 1).

2. 3 / 1/6 = 3/1 / 1/6 = 3/1 × 6/1 (dividing by a fraction is the same as multiplying with the upside-down fraction).

3 a/b × c/d = ac / bd. in our case 3/1 × 6/1 = 18/1 = 18

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]