The graphs of f(x) = −10x − 1 and g(x) =2^x
are shown. Create a new function h(x) by reflecting f(x) over the x-axis. How many times do the graphs of h(x) and g(x) intersect?

Step-by-step explanation:

what is this supposed to mean, I'm not sure so I just plugged it in.

y= 2x - 8 plug in x and y whish is -2= 2(4) - 8

do 2(4) -8

equals 0

so the point (4, -2) does not belong to the equation y = 2x - 8

Answer:

Step-by-step explanation:

if you plug in the numbers in symbolab you get -2=0 and the sides are not equal. Just plug in for Y -2 and for X 4

Answer:

y = 1/3 x+5

Step-by-step explanation:

Answer:

y=1/3x+5

Step-by-step explanation:

1/3 tells us the slope of the line. it tells us how many units up (in this case 1) and how many across (here it was 3). so the rise/run was 1/3. As for the 5, this tells us where the line crosses the y-axis. You can see that at the point (0,5) the line crosses, so 5 would be the y-intercept.

I hope this helps :)

Answer:

Step-by-step explanation:

\(1) Sin \ C = \dfrac{opposite side of C}{Hypotenuse}=\dfrac{21}{29}\\\\2)Sin \ C = \dfrac{30}{50}=\dfrac{3}{5}\\\\3) Cos \ C = \dfrac{adjacent \ side \ of \ C}{hypotenuse}=\dfrac{36}{39}=\dfrac{12}{13}\\\\4) Cos \ C =\dfrac{8}{17}\)

Answer:

\(P(x > 1\ and\ x < 2) = \frac{4}{25}\)

Step-by-step explanation:

Given

\(S = \{1,2,3,4,5\}\)

\(n(S) = 5\)

Required

\(P(x > 1\ and\ x < 2)\)

\(P(x > 1\ and\ x < 2)\) is calculated as:

\(P(x > 1\ and\ x < 2) = P(x > 1) * P(x < 2)\)

Since it is a probability with replacement, we have:

\(P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}\)

For x > 1, we have:

\(x > 1 = \{2,3,4,5\}\\\)

\(n(x > 1) = 4\)

For x < 2, we have:

\(x < 2 = \{1\}\)

\(n(x < 2) = 1\)

\(P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}\)

becomes

\(P(x > 1\ and\ x < 2) = \frac{4}{5} * \frac{1}{5}\)

\(P(x > 1\ and\ x < 2) = \frac{4}{25}\)

Answer:

A B and c........... can be proven through sss

An inequality that expresses the interval of values that n may have is (B) \((5 < n < 17)\)

The sides of a triangle are 5, 12, and n.

To write an inequality that expresses the interval of values that n may have, we use the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So for this question, the inequality that expresses the interval of values that n may have is given as:\(5 + 12 > n12 + n > 5n + 5 > 12\)

Simplifying the above inequality: \(n > -7n > 7\)

The interval for n will be \([7,∞)\), where n has to be greater than 7.

Option D \((7 < n < 12\)) is not the correct answer.

Hence, the correct answer is option B\((5 < n < 17).\)

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Some of the fundamental ideas that algebra has taught me so far include: using graphs, solving inequalities on the number line, learning how to work with variables and constants, solving linear equations, and solving quadratic equations.

Algebra is a branch of mathematics that focuses on mathematical operators or arithmetic operators and how they are used in their variant ways or combined to solve problems.

It should be noted algebra can also be used to illustrate real life problems.

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When the increment operator precedes its operand, as

++num, the expression is in prefix mode.

When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.

A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.

During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.

Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .

Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.

Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.

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Answer:

The total cost would be $208

Step-by-step explanation:

First, we have to find the area of the square office which would be 4yards times 4yards which equals 16yd^2

Next, we'll multiply the area of the square office by $13 (since each square yard of new carpet costs that much).

So 16yd^2 times $13= $208

Hope I helped :)

Answer: 20

Step-by-step explanation:

9x = 180

x = 20

Answer: x=20

Step-by-step explanation:

9x-0=180

9x=180

180/9=20

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The solution to the algebraic equation (a + 8/3) = 2/3 is given by a = -2

(a + 8/3) = 2/3

open parenthesis

a + 8/3 = 2/3

collect like terms

a = 2/3 - 8/3

a = (2-8) / 3

a = -6/3

a = - 2

Check:

(a + 8/3) = 2/3

-2 + 8/3 = 2/3

(-6+8) / 3 = 2/3

2/3 = 2/3

In conclusion, -2 is the solution to the unknown in the equation (a + 8/3) = 2/3

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Penelope has, 52quarters, 104 dimes, 416 nickels, and 162 pennies.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information let, 'x' be the number of quarters,

Therefore, Dimes is 2x, Nickels is 8x and Pennies is 3x.

So, x + 2x + 8x + 4x = 780.

15x = 780.

x = 52, The number of quarters.

2×52 = 104, The number of Dimes.

8×52 = 416 Nickels.

3×52 = 162 Pennies.

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In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

To find the probability:

Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

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The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.

The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.

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(2, −9) is a solution to the equation.

i took the quiz lol

Answer:

ABC =146.5

ACB=67

ACD=127

CAB=146.5

Step-by-step explanation:

ABD=127

ACD=127

BCD=60 ( Being equilateral triangle)

60+x=127

x=67

ACB=67

CAB=CBA=y (let)

y+y+ACB = 360 ( Sum of int angles of triangle)

2y+67=360

2y=293

y=146.5

CAB=146.5

ABC=146.5

Answer:

x=6

Step-by-step explanation:

(7x+38)-8 ×8*(x+4)

6-x=0

-x+6=0

-x=-6

x=6

Answer:

v×9=99

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL

HAVE A GREAT DAY

Answer:x=11.8

Step-by-step explanation:

This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.

Let's assume that there are n children in the Smith family.

We know that the father is 48 years old, so the sum of the ages of the mother and children is:

Total age = (n + 1) * 20 (as there are n children and 1 father)

And we also know that the average age of the mother and children is 16, so we can write:

Total age / (n + 1) = 16

Combining these two equations, we get:

(n + 1) * 20 / (n + 1) = 16

Simplifying, we get:

20 = 16

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Answer:

x = 8

Step-by-step explanation:

(please verify) if line segment LM is congruent to line segment PN; then

9x - 25 = 5x + 7; subtract 5x from both sides

4x - 25 = 7; add 25 to both sides

4x = 32; divide by 4

x = 8

Answer:

x=8

Step-by-step explanation:

look at the picture for the work.

Answer:

19 maybe?

Step-by-step explanation:

The 4th roots of 4 + 4i are \(2^{9/8\) * (cos(π/16) + isin(π/16)), \(2^{9/8\) * (cos(9π/16) + isin(9π/16)), \(2^{9/8\) * (cos(17π/16) + isin(17π/16)) and \(2^{9/8\) * (cos(25π/16) + isin(25π/16)).

To find the 4th roots of the complex number 4 + 4i, we can use the polar form of complex numbers. First, we represent 4 + 4i in polar form.

Let z = 4 + 4i.

The magnitude (r) of z can be calculated as:

r = |z| = √(\(4^2\) + \(4^2\)) = √32 = 4√2.

The argument (θ) of z can be calculated as:

θ = arctan(4/4) = arctan(1) = π/4.

Now, we can express z in polar form:

z = 4√2 * (cos(π/4) + i*sin(π/4)).

To find the 4th roots of z, we take the 4th root of its magnitude and divide the argument by 4:

Fourth root of r = √(4√2) = 2√(√2) = 2√(\(2^{1/4\)) = 2 * \((2^{1/4)^{1/2\) = 2 * \(2^{1/8\) = \(2^{9/8\) .

Dividing the argument by 4, we get:

θ/4 = (π/4) / 4 = π/16.

Therefore, the 4th roots of 4 + 4i are:

\(z_1\) = \(2^{9/8\) * (cos(π/16) + isin(π/16)),

\(z_2\) = \(2^{9/8\) * (cos(9π/16) + isin(9π/16)),

\(z_3\) = \(2^{9/8\) * (cos(17π/16) + isin(17π/16)),

\(z_4\) = \(2^{9/8\) * (cos(25π/16) + isin(25π/16)).

Now, let's plot these roots on an Argand diagram.

In the diagram, \(z_1\) represents the 1st root, \(z_2\) represents the 2nd root, \(z_3\) represents the 3rd root, and \(z_4\) represents the 4th root.

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Answer:

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A comparison of the area and circumference is not possible since the area cannot be determined.

The numerical value of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

Using the area and the circumference of the circle, it is found that the correct statement is given by:

The numerical value of the circumference is greater than the numerical value of the area.

The area of a circle of diameter d is given by:

\(A = \frac{\pi}{4}d^2\)

The circumference of a circle of diameter d is given by:

\(C = \pi d\)

In this problem, we have that d = 3, hence:

\(A = \frac{\pi}{4} \times 3^2 = \frac{9\pi}{4} = 2.25\pi\)

\(C = \pi \times 3 = 3\pi\)

Hence the correct option is given by:

The numerical value of the circumference is greater than the numerical value of the area.

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The required inequality to represents the cost of plan B save the money compare to plan A is given by m > 250.

Let us start by setting up an equation to represent the cost of each plan.

For Plan A, the cost (C) can be represented as,

C = 30 + 0.10m

where m is the number of miles driven.

For Plan B, the cost is a flat rate of $55 per day, regardless of the number of miles driven.

Now, for how many miles need to drive in one day for Plan B to save us money compared to Plan A.

⇒ Cost of Plan A is equal to the cost of Plan B.

⇒ 30 + 0.10m = 55

Subtracting 30 from both sides, we get,

⇒0.10m = 25

Dividing both sides by 0.10, we get

⇒m = 250

The required inequality is

m > 250.

So, drive more than 250 miles in one day, Plan B would save you money compared to Plan A.

However, if you drive exactly 250 miles, the cost for both plans would be the same.

Therefore, the exact answer as an inequality using the variable m to represent plan B save money compare to plan A is equal to m > 250.

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Answer:

\(un \: known \: = x \\ three \: times \: a \: number = 3x \\ so \: we \: can \: written \: as = 3 x - 5\)