Consider the following functions:S(x) = VX-2 and g(x) = 4Step 2 of 3 : Find four ordered pairs that satisfy the function, g(x) = 4.AnswerKey!PreviaD

Given:-

To find:-

The graph of,

To find the required value, first we convert it.

By solving the above equation. we get,

Now we sketch the graph of,

By sketching. we get,

So this is the required graph.

So the correct option is A.

Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given angles

STEP 2: State the congruency theorem

If angles are congruent, then the lengths are congruent.

Therefore,

Hence, the answer is:

Answer:

1.5 gallons

Step-by-step explanation:

(3/4) × (2 gallons) = 1.5 gallons

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

what are you saying?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume that the = sign is the congruent sign. I can't type the congruent sign.

<BCA= <CAD because of alternating interior angles.

<ACD= <BAC because of alternating interior angles

<ACD+<BCA=<BCD = <BAC+<CAD= <BAD because of parts whole postulate

<BCD = <BAD

Step-by-step explanation:

1)After stating your givens

2)statement: ∠BAC ≅ ∠DCA  2)reason: alternate interior angles are congruent.

3)statement: ∠DAC ≅ ∠BCA  3)reason: alternate interior angles are congruent.

4)statement: ∠BCD ≅ ∠BAD  4)reason: addition postulate.

The value of v is: v = (-9, 5).

Open angled bracket negative 9 comma 5 close angled bracket.

Then the correct option is B.

We have,

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

Vector v has an initial point at (7, 6) and a terminal point at (−11, 16).

Then the vector v is given as

v = 1/2 [(-11 - 7), (16 - 6)]

v = 1/2 [(-18), (10)]

v = (-9, 5)

Then the correct option is B.

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Answer:

1.25

Step-by-step explanation:

Answer:

12/15 > 4/5 equals 80%

Step-by-step explanation:

Answer:

a) The equation has the greatest slope.

Step-by-step explanation:

The table has the values as shown below;

x    y

1    3

2   6

3   9

The gradient of the line can be found as;

m=Δy/Δx

m= 9-3 /3-1

m= 6/2

m₁= 3

The equation of the other line is :   y=4x

The gradient is , m₂ = 4

The presentation with the greatest slope is the equation that has a slope of 4.

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

\((x,y) = (0,7)\)

\((x,y) = (3,7)\)

Step-by-step explanation:

The question and the attached image are different. However, the attached image answers the question y = -4 correctly.

So, I will solve for: \(y = -x + 7\)

Given

\(y = -x + 7\)

Required

Possible values of x and y

Let x = 0:

\(y = -x + 7\)

\(y = -0 + 7\)

\(y = 7\)

So, we have:

\((x,y) = (0,7)\)

Let y = 4

\(y = -x + 7\)

\(4 = -x + 7\)

Collect Like Terms

\(x = -4 + 7\)

\(x =3\)

So, we have:

\((x,y) = (3,7)\)

So, all you need to do is: assume a value for either x or y, then solve for the other variable.

Answer:

the averaged speed of the car is 70 miles per hour.

Step-by-step explanation:

Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Answer:

4π

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius).

Diameter = 32.

Circumference = π (32) = 32π.

Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.

Answer:

(-1/2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

2:5 for every 2 sandwiches  there are 5 cartons of milk

sandwich to milk carton

4:10

1. The algae blooms was larger initially is the first algae.

2. The first algae bloom is decreasing more quickly than the second algae bloom.

1. To determine which algae bloom was larger initially, we can compare the values of the functions at d=0.

For the first algae bloom, we have A(0) = 200.

For the second algae bloom, we have B(0) = 100*27⁰ = 100.

Therefore, the first algae bloom was larger initially.

2. To determine which algae bloom is decreasing more quickly, we can compare the rates of decrease of the two functions. The rate of decrease is given by the derivative of the function, which tells us how fast the area is changing with respect to time.

For the first algae bloom, we have A'(t) = -20e^(-0.2t).

For the second algae bloom, we have B'(d) = -100*27^(-1)d.

To compare these rates of decrease, we can evaluate them at the same point in time or days. Let's evaluate them at d=1, which means one day has passed since the first measurement.

For the first algae bloom, we have A'(1) = -20e^(-0.2) ≈ -15.24.

For the second algae bloom, we have B'(1) = -100*27^(-1) ≈ -3.70.

Therefore, we can see that the first algae bloom is decreasing more quickly than the second algae bloom. This is because the rate of decrease of the first bloom is more negative than the rate of decrease of the second bloom.

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Answer:

70

Step-by-step explanation:

Answer:

-8.

Step-by-step explanation:

y = 8 - 2x.

x = 8.

y = 8 - 2(8)

= 8 - 16

= -8.

Hope this helps!

Answer: 8/11

Step-by-step explanation:

To find slope you can use this formula:

y2-y1/x2-x1

substitute the values with the ones from the 2 points

-13-(-5)= -8

-19-(-8)=-11

you then divide -8/-11

and you get 8/11

8/11 is the slope of those 2 points.

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

The top angle is right (90 degrees, kinda looks like a bent elbow).

The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).

The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).

4th is acute.

5th is straight because it's a straight line.

6th is also obtuse.

Have a good day :)

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

The range of the function is {0.01, 0.1, 1, 10, 100}. With an increase in the value of the domain, the range of the function is increasing.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given function is

f(x) = 10^x.

Given domain is {-2, -1, 0, 1, 2}.

Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 10^x.

When x = -2:

f(-2) = 10^(-2)

f(-2) = 0.01.

When x = -1:

f(-1) = 10^(-1)

f(-1) = 0.1.

When x = 0:

f(0) = 10^(0)

f(0) = 1.

When x = 1:

f(1) = 10^(1)

f(1) = 10

When x = 2:

f(2) = 10^(2)

f(2) = 100

The range of the function is {0.01, 0.1, 10, 100}

The values of the range increase with the increase of domain.

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All the linear functions are,

⇒ x = 3

⇒ y = 2x - 5

⇒ 3x - 6 = 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Degree of variables in a linear function is always one and the graph shows the straight line.

So, By all options;

All the linear functions are,

⇒ x = 3

⇒ y = 2x - 5

⇒ 3x - 6 = 4

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