graph the equation
picture below
please help 100 points and brainlest

Step-by-step explanation:

The first equation is pretty easy to write.

The sum of Eli and Cecil's age is 60.

Let x = Eli's age

Let y = Cecil's age

Sum means add, so:

x + y = 60

The second equation is a little tricker.

Six years ago, Eli was three times as old as Cecil.

Six years ago means we have to subtract 6

Think:

Eli (six years ago) = 3 times cecil's age (six years ago)

x - 6 = 3(y-6)

Now, let's use the distributive property.

x - 6 = 3y - 18

Next we'll get the variables on one side and the constants on the other in order to write the equation in standard form.

x - 3y - 6 = 3y -3y - 18 Subtract 3y

x - 3y - 6 = -18

x - 3y - 6 + 6 = -18 + 6 Add 6

x - 3y = -12

Now we have two equation in standard form:

x + y = 60

x - 3y = -12

You can solve easily by using substitution or linear combinations.

I will use the linear combinations method.

Step 1: Create 1 set of opposite terms.

x + y = 60

-1 ( x - 3y) = -12(-1)

x + y = 60

-x + 3y = 12

Step 2: Add

x + y = 60

-x + 3y =12

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

4y = 72

Step 3: Solve for y

4y/4 = 72/4

y = 18

Cecil's age is 18

Step 4: Substitute to find Eli's age.

x + y = 60

x + 18 = 60

x+18 - 18 = 60 -18

x = 42

Eli's age is 42.

Check:

42 + 18 = 60

Six years ago:

Eli was 36

Cecil was 12

Eli was 3 times as old as Cecil 6 years ago.

12 * 3 = 36

Hope this helps

Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata

To evaluate the results for your area and identify the emerging trends from the data, we need to examine the relationships between different variables. Based on the options provided:

a. Increased Overtime Hours lead to increased Productivity Rates: This trend suggests that as the number of overtime hours increases, productivity rates also increase. However, without specific data and analysis, it is difficult to confirm this trend.

b. Productivity Rate is negatively impacted by team size: This trend indicates that larger team sizes result in lower productivity rates. This suggests that as the team size increases, individual performance and coordination may be compromised, leading to decreased productivity.

c. Schedule Adherence is inconsistent across periods of time: This trend suggests that adherence to schedules fluctuates over time. It indicates that there is variability in meeting scheduled timelines or deadlines, potentially due to factors such as workload, resource availability, or changing priorities.

d. Larger teams have more Schedule Adherence issues: This trend implies that larger teams face challenges in adhering to schedules. It suggests that coordination and communication within larger teams may be more complex, leading to difficulties in meeting scheduled timelines or maintaining adherence.

It is important to note that without specific data and statistical analysis, it is challenging to determine the accurate trend from the given options. Proper data analysis and interpretation would be required to draw definitive conclusions about the relationships between variables in your specific area.

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1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.

2. The three pair of corresponding angles and sets of proportionate sides include:

ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.

AC = BD, EC = FD, and AE = BF

3. Yes, the slope of line is the same between any two points on the line.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Part 1.

In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.

Part 2.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:

Part 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope AC = (0 + 1)/(-3 + 5)

Slope AC = 1/2.

Slope BD = (3.5 - 2)/(4 - 1)

Slope BD = 1/2.

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in me girl 7735293+3;$7373-$-$-37372+2

the critical value for the test statistic \(X^2\) with a significance level α = 0.01 and sample size n = 20 is approximately 34.169.

To determine the critical values for the test statistic \(X^2\) (chi-square) with a significance level α = 0.01 and sample size n = 20, we need to refer to the chi-square distribution table.

For a chi-square distribution, the degrees of freedom (df) are equal to n - 1. In this case, the degrees of freedom would be 20 - 1 = 19.

Since the significance level is α = 0.01 and the chi-square distribution is right-tailed, we want to find the critical value that leaves an area of 0.01 to the right.

Looking up the critical value for α = 0.01 and 19 degrees of freedom in the chi-square distribution table, we find that the critical value is approximately 34.169.

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The domain of f(x) = x² + 3 and its inverse function g(x) = √(x - 3) are:

The domain of f(x): all real numbers

Range of f(x): all real numbers greater than or equal to 3

The domain of g(x): all real numbers greater than or equal to 3

Range of g(x): all real numbers greater than or equal to 0

The domain of the function f(x) = x² + 3 is all real numbers since any real number can be squared and added to 3. The range of the function is all real numbers greater than or equal to 3 since the square of any real number is non-negative, and adding 3 to a non-negative number gives a result that is greater than or equal to 3.

To find the domain and range of the inverse function of the given function, we first have to find the inverse function. To do this, we solve the equation y = x² + 3 for x:

x² = y - 3

x = ±√(y - 3)

Since the function f(x) = x² + 3 is not one-to-one (it fails the horizontal line test), we need to restrict its domain to find an inverse function. One way to do this is to restrict the domain to non-negative values of x, which gives us the function g(x) = √(x - 3).

The domain of g(x) is all real numbers greater than or equal to 3 since the square root of a non-negative number is always defined. Since the square root of a non-negative number is always non-negative, the range of g(x) includes all real numbers greater than or equal to 0.

Therefore, the domain of f(x) = x² + 3 and its inverse function g(x) = √(x - 3) are:

The domain of f(x): all real numbers

Range of f(x): all real numbers greater than or equal to 3

The domain of g(x): all real numbers greater than or equal to 3

Range of g(x): all real numbers greater than or equal to 0

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Step-by-step explanation:

x > 4 hours/week

4 hours is 240 minutes

45 minutes/ 1st book

4 hours minus 45 minutes is 3 hours and 15 minutes

3 hours and 15 minutes = 195 minutes

195 minutes ÷ 6 = 32.5 minutes

make the formula working backwards

(240 - 45) ÷ 6 > x

We know that

• Caesar earned $23 an hour.

• He had saved $3,360.

• He worked 28 hours each week.

• We know that a year has 52 weeks.

Based on the given information, we express the following equation:

Where x represents all his expenses throughout the year.

Caesar spent $30,128 the whole year, let's divide it by 12 to find his monthly expenses.

Answer:

D < B < A < C

Step-by-step explanation:

A = 1.5 × 10³ = 1500

B = 1.4 × 10-¹ = 0.14

C = 2 × 10⁴ = 2000

D = 1.4 × 10-² = 0.014

The least numbers to greatest are arranged as

D = 1.4 × 10-² = 0.014

B = 1.4 × 10-¹ = 0.14

A = 1.5 × 10³ = 1500

C = 2 × 10⁴ = 2000

which brings us to

D < B < A < C

RATE AS BRAINLIEST PLS

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

Step-by-step explanation:

Let's simplify step-by-step.

−22−3+40+6y+7+3c

=−22+−3+40+6y+7+3c

Combine Like Terms:

=−22+−3+40+6y+7+3c

=(3c)+(6y)+(−22+−3+40+7)

=3c+6y+22

Answer:

=3c+6y+22

Answer:8

Step-by-step explanation:

Answer:

In other words, 740 is 22% of "some number."

"per cent" means "out of 100." So...

Set up a proportion: 22/100 = 740/n

Cross-multiply so that 22n = 74,000

Then divide both sides by 22 to get...

n = 3363.6, but since you can't have .6 of a person, round up to 3364.

Hope this helps!

Answer:

B

Step-by-step explanation:

The student's mistake was between Step 1 and Step 2.

Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.

It should be 8x-15=3x-75, not 4x-15=3x-75.

The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )

When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.

Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:

Point X :

= 2 x 2

= 4

Point Y:

= 1 x 2

= 2

So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )

It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.

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Answer:

They are the same.

Step-by-step explanation:

The volume of the hemisphere is V = ⅔ π r³.

The cone's height is equal to its radius, so its volume is:

V = ⅓ (π r²) (r)

V = ⅓ π r³

The cylinder's height is equal to its radius, so its volume is:

V = (π r²) (r)

V = π r³

So the total volume on the left side is ⅔ π r³ + ⅓ π r³ = π r³.

The total volume on the right side is π r³.

The volumes are equal, and since all are made of the same material (have the same density), the masses are also equal.

Answer:  A

\(y=\dfrac{3*10^8}{x}\\\\if\ x=3*10^9\ then\\y=\dfrac{3*10^8}{3*10^9}=\dfrac{1}{10}=1*10^{-1}\ (m)\)

The wavelength of the radio waves is A = 1 x 10⁻¹ m

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

wavelength in meters, x, and frequency, y.

y = ( 3 x 10⁸ ) / x

when y = 3 x 10⁹ s⁻¹

On solving for x from the laws of exponents , we get

x = ( 3 x 10⁸ ) / 3 x 10⁹

x = 1 x 10⁻¹ m

Hence , the wavelength is x = 1 x 10⁻¹ m

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Answer:

yeah I can help you what's the problem

We know that, the trigonometric relationship -

sin(x) = C.O/ h

where,

C.O = opposite leg

h = hypotenuse

using these values in the equation we have -

sin(20) = 5/c

c = 5/sin(20)

c = 14.61

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Disclaimer : The diagram for the question is attached.

Answer:

\(\frac{1}{6}\) of the game is left.

Step-by-step explanation:

A hockey game has 3 periods.

Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.

Amount remaining:

Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So

\(1 - \frac{2.5}{3} = 1 - \frac{5}{6} = \frac{6 - 5}{6} = \frac{1}{6}\)

\(\frac{1}{6}\) of the game is left.

Answer:

$3

Step-by-step explanation: 4 time .75 = 3

if you bought 4 candy at .75 each the your answer will have Tobe 3

Total would be $158.07

To calculate slaes tax and total cost, take the price (151.99) and multiply by tax rate, then add them together.

4%= .04

So Price (151.99) times tax(.04) would be 6.0796.

We're not finished, because that is just the tax.

Add them together, 151.99+6.0796 = 158.0696

Round to the nearest cent, so $158.07

Hope this helps and please consider marking branliest.

Answer:

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Basic Formulas

By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.

Main Trigonometric Functions

Both depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.

(hope this helps can i plz have brainlist :D hehe)

Answer:

I don't know this exactly, but I'll give it my best go!

We can get the answer by answering questions we know are true and eliminating the ones we don't.

E: Experimental probability can be written in the form of a ratio.

- Any probability can be expressed by a ratio so this is true.

B: Experimental probability is the same as theoretical probability.

- They are two different 'types' of probability so this is most likely false.

A: Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.

- I'm fairly certain that applies to theoretical probability, not experimental.

So that means the answers are most likely C, D, and E. If I was wrong let me know!

Answer:

25h+12

Step-by-step explanation:

Combine Like Terms:

21h+−10h+16+−9+14h+5

(21h+−10h+14h)+(16+−9+5)

25h+12

Same thing, no difference.

Hope this helped! :)