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Explain how to use the graphs of systems of equations to state when the system has one solution, no solution, or infinite solutions. Be specific.

The equivalent value of the function is x is -3 is -45

Functions are written in terms of variables

Given the function shown

f(x)=-x^2+6x-18

In order to determine f(-3), we will substitute x = -3 into the function to have:

f(-3)=-(-3)^2+6(-3)-18

f(-3) = -9 - 18 - 18

f(-3) = -45

Hence the equivalent value of the function is x is -3 is -45

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Answer:

9

Step-by-step explanation:

[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]

The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

The equation of the function is given as:

g(x) = x^3 + 6x^2 + 12x + 8

When x = -1, we have:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Evaluate the expression

g(-1) = 1

Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

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Answer:

g(-1) = 1

Step-by-step explanation:

Answer:

eight hundred thirty-one billion seventy-five million two hundred eighty thousand four hundred ninety-six

Step-by-step explanation:

Answer:

it is median

Step-by-step explanation:

because it have number in alphabetic order

r + 4 - 2r + 28 > 0

-r + 32 > 0

32 - r > 0

-r > -32

r < 32

The number 8700 written in scientific notation is 8.7 * 10^3

The number is given as:

Number = 8700

The scientific notation is represented as:

a * 10^b

Where a is between 1 and 10 and b is an integer representing the number of zeros

So, we have:

8700 = 87 * 10^2

Express 87 as 8.7 * 10

8700 = 8.7 * 10* 10^2

Evaluate

8700 = 8.7 * 10^3

Hence, the number 8700 written in scientific notation is 8.7 * 10^3

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No triangles are possible for Options B and D. One triangle is possible for options A, C, and E. Many triangles are possible for option F.

For it to be a triangle, then it must have 3 vertices and 3 sides with the sum of 2 sides greater than the third side. Also, the sum of interior angles must be 180°.

A) Side lengths of the triangle are; 4 inches, 8 inches and 10 inches.

4 + 8 > 10. Thus, it is a triangle.

B) 60° + 40° + 90° = 190 ≠ 180°

Thus, no triangle is possible because the sum of the angles in triangle is 180°.

C) There are two sides are given and one angle. Thus, from SAS congruency theorem, one triangle is possible.

D) 7 + 5 = 12

There is no triangle possible because the sum of the two sides must be greater than the third side.

E) We are given two angles and one side. Thus, from the ASA Congruency Postulate, one triangle is possible.

F) 60° + 80° + 40° = 180°

There are three angles given, but no sides and so we can say that many triangles are possible.

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The sum of the numbers is 2.115 * 10^14

The sum expression is given as:

(2.1 × 10^14) + (1.5 × 10^12)

Express 1.5 as 0.015 * 10^2

(2.1 × 10^14) + (0.015 * 10^2 × 10^12)

Evaluate the product

(2.1 × 10^14) + (0.015 * 10^14)

Factor out 10^14

10^14 *(2.1 + 0.015)

Evaluate the sum

10^14 * 2.115

Rewrite as:

2.115 * 10^14

Hence, the sum of the numbers is 2.115 * 10^14

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Make same exponent

Use distributive law ab+ac=a(b+c)

Option C

Answer:

7 and -4

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

Step-by-step explanation:

its A

Step-by-step explanation:

write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it

The expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

The missing information in the question is to express V(x) in standard form

We have:

V(x) = x(9-2x) (11-2x)

Open the brackets

V (x) = x(99 - 2x - 18x + 4x^2)

Evaluate the like terms

V (x) = x(99 - 20x + 4x^2)

Expand

V (x) = 99x - 20x^2 + 4x^3

Rewrite as:

V(x)  = 4x^3 - 20x^2 + 99x

Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

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16340 can be written in scientific notation as 1.63 × 10⁴.

Scientific Notation is a way of representing large numbers in decimal forms multiplied by the power(exponent) in terms of decimal places. The purpose of representing large numbers in scientific notation is to enable easier calculation.

This means that 16,340 in scientific notation can be expressed as:

= 1.634 × 10⁴

= 1.63 × 10⁴ ( to 2 significant figures)

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The the equation K = C + 273.15 when solved for c is C = K - 273.15

K = C + 273.15

K - 273.15 = C

Therefore,

C = K - 273.15

Complete question:

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

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Answer:

When solved for C, the equation is

C = K – 273.15

Step-by-step explanation:

When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.

A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.

The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.

According to the question

A rectangle is rotated 360 around the y axis.

When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.

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Answer:

[tex]\{-20, -2 ,13\}[/tex]

Step-by-step explanation:

The range of a function is the set of its possible output values

[tex]f(x) = 3x-8\\\\f(-4) = 3(-4) -8 = -12 -8 = -20\\\\f(2) = 3(2) -8 =6-8 = -2\\ \\f(7) = 3(7) -8 = 21 -8 = 13\\\\\text{Range} = \{-20, -2 ,13\}[/tex]

To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The  angle ∠JHG is found as;

∠JHG = 180°-65°

∠JHG = 115°

The measure of the angle ∠JHG will be 115°.

Hence, option D is correct.

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Answer: 110

Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110

Answer:

y=5x+3

Step-by-step explanation:

in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept. Should the equation pass through (0,3) then the y-intercept is 3, as the y-intercept is where the equation touches the y-axis (when x = 0), and the slope, 5, was already given to us within the problem itself.

Answer:

y=x-4

Step-by-step explanation:

Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)

The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.

Hence, the equation would be y=x-4

Note: I did not have y=1x-4 because 1x is the same as x.

The number of  people are working by force or under coercion stands at about 12.3 million.

The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.

According to current statistics from the  International Labor Organization, the number of  people are working by force or under coercion stands at about 12.3 million.

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Answer:

c. 12.3 million

got it right on edge)))

Answer:

I’m thinking it’s 2 lol thank you so much!!!

Step-by-step explanation:

The distance between the plane and house 1 is 4899.2 feet

See attachment for illustration of the question, where x represents the distance between the plane and house 1

Start by calculating the angle A using:

A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)

This gives

A = 143.7

The distance x is then calculated using the following sine theorem

a/sin(A) = b/sin(B) = c/sin(C)

Using the parameters in the diagram, we have:

x/sin(18.8) = 9000/sin(143.7)

Multiply both sides by sin(18.8)

x= sin(18.8) * 9000/sin(143.7)

Evaluate

x = 4899.2

Hence, the distance between the plane and house 1 is 4899.2 feet

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Answer:

17 two-digit numbers

So, there are 17 two-digit numbers whose sum of digits is a perfect square.

Step-by-step explanation:

hope it helps you and give me a brainliest

The length of line segment bc is 3 cm. Thus, the correct option is B.

Perimeter is the sum of the length of the sides used to make the given figure.

Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.

Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.

BC = AC /2 = 6cm /2 = 3 cm

Hence,  the length of line segment bc is 3 cm. Thus, the correct option is B.

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Answer: B (3)

Step-by-step explanation:

Answer:

I was able to solve questions 2 through 4 using the, "center = (h, k)" formula.

2. (3, -1)

3. (1, 2)

4. (-5, 2)

Hope it helps.

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

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Answer:

Don't know the full answer, though I searched it up on brainly and found this:

Hopefully it can help you with whatever you are doing/taking.
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Answer:5*(x-2)^2 + 5

Step-by-step explanation:that would be the answer 5x^2-20x+25