Which function has a constant additive rate of change of -14?
y
-12
21
-1.5
-11
11
-2
-10
14
-2.5
-9
17

A right angled triangle with height = 7, base = 11, by using the Pythagorean theorem, we can calculate the hypotenuse is approximately 13. Therefore, the missing side, x = 13.

In a right angled triangle, using the Pythagorean theorem: sum of the squares of the base and height is equal to the square of the hypotenuse, we can find the hypotenuse x.

\(x^2 = 7^2 + 11^2\)

\(x^2 = 49 + 121\)

\(x^2 = 170\)

Taking the square root of both sides, we get:

x ≈ 13.0384

Rounding this to the nearest tenth, we get:

x ≈ 13.0

Therefore, the length of x is approximately 13.0 units (rounded to the nearest tenth).

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The total earnings of the bus driver in a year is $28500.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The bus driver works 2000 hours each year and makes $14 per hour.

If the bus driver gets $50 for each new recruit he hired.

Let y be his total earnings and x be the number of new drivers he recruits.

Then his total earnings can be represented by the function:

y = 14 × 2000 + 50 × x

If the bus driver recruits x = 7 new drivers.

y = 28000 + 50 × 7

y = 28000 + 350

y = $28350

The total earnings of the bus driver are $2850.

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Answer:

C

Step-by-step explanation:

100-31.99-19.89=48.12

Answer:

The 3rd:

f(x) = (x - 1)(x - 1)(x – 6)

Step-by-step explanation:

Its roots are the x-values for which f(x)=0, that are:

x1=1

x2=1

x3=6

To subtract mixed numbers like 71/6  and 45/18  , we need to first convert the mixed numbers into improper fractions, then subtract the fractions, and finally convert the result back to a mixed number if needed.

Transform the mixed numbers into improper fractions as follows:

71/6=(6×7+1)/6=43/6

45/18=(18×4+5)/18=77/18

The common denominator of 6 and 18, which is 18, is now what we need to find.

43/6's numerator and denominator are multiplied by 3 to yield the following result:

43/6 = (433)/(63) = 129/18

Multiplying the numerator and denominator of 77/18 by 1, we get:

77/18 = (771)/(181) = 77/18

Now that we have both fractions with a common denominator, we can subtract them:

43/6 - 77/18 = (129 - 77)/18 = 52/18

Simplifying 52/18 by dividing both the numerator and denominator by 2, we get:

52/18 = (262)/(92) = 13/9

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The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

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The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

Answer:

x = -1, 2

Step-by-step explanation:

√3x+3  - 1 = x

√3x + 3 = x + 1

3x + 3 = x^2 + 2x + 1

x^2 - x - 2

( x - 2 )( x + 1 )

x = -1, 2

Hopefully this helps!

Brainliest please?

Mork bought a new car for $48,000, and its depreciation rate is expected to be 12% per annum. Mindy purchased an old collectible car for $3,200, and it is projected to appreciate at a rate of 25% per annum.

In terms of depreciation, Mork's new car is expected to lose 12% of its value each year. Therefore, after the first year, the car's value would decrease by 12% of $48,000, resulting in a depreciation of $5,760. The car's value at the end of the first year would be $48,000 - $5,760 = $42,240. This process would continue each year with a 12% decrease in value.

On the other hand, Mindy's collectible car is expected to appreciate by 25% each year. After the first year, the car's value would increase by 25% of $3,200, resulting in an appreciation of $800. The car's value at the end of the first year would be $3,200 + $800 = $4,000. Similarly, the value would continue to appreciate by 25% each year.

The difference in value between the two cars over time will likely be significant. Mork's new car will experience a continuous decline in value due to depreciation, while Mindy's collectible car will appreciate in value. This highlights the contrasting nature of the two cars' investment potential. Mork's car would be worth less each year, while Mindy's car would increase in value, potentially making it a more valuable asset over time.

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Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

Step-by-step explanation:

Let x be the width of the uniform strip floor around the rug.

Then the width of the rug is (21 - 2x) and the length of the rug is (29 - 2x).

(21 - 2x)(29 - 2x) = 345

609 - 100x + 4x^2 = 345

4x^2 - 100x + 264 = 0

x^2 - 25x + 66 = 0

(x - 22)(x - 3) = 0

x = 3 or x = 22 (rejected as x must be less that the width of the room)

Hence the width of the rug is 21 - 2(3) = 15 feet and the length of the rug is 29 - 2(3) = 23 feet.

Answer:

The repeating decimal cost

a) As a fraction = $\(\frac{3161616}{1000000}\)

b) As a mixed number = $ \(3\frac{161616}{1000000}\)

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making  the  computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = \(3\frac{161616}{1000000}\)

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = \(\frac{1}{2}\) × 12 × (14 + 24) = 6 × 38 = 228 ft²

The calculated value of the mode of the number of pets among the families is 1

From the question, we have the following parameters that can be used in our computation:

The histogram

As a general rule, the mode of an histogram is the data set that has the highest frequency

In this case, n = 1 has the highest frequency of 500

This means that we can conclude that the mode has a value of 1 (with a frequency of 500)

Hence, the mode from the histogram/distribution is 1

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Answer:

65700000x

Step-by-step explanation:

thats the answer

Answer: 65700000

Step-by-step explanation:

65700000x

The equation for the price of house after x years is,

Simplify the equation to obtain the equation for value of house after x years.

So option B is correct.

Answer:

D. Reflection across the y-axis

Step-by-step explanation:

In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.

Answer:

60

Step-by-step explanation:

According to the linear function concept, the correct answer is:

B. linear

Additionally:

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the function is:

\(3x + 7y = 8\)

Placing into standard format:

\(7y = 8 - 3x\)

\(y = \frac{8}{7} - \frac{3x}{7}\)

Hence it is a linear function.

When x = 0:

\(y = \frac{8}{7} - \frac{3(0)}{7} = \frac{8}{7}\)

When y = 2:

\(y = \frac{8}{7} - \frac{3x}{7}\)

\(2 = \frac{8}{7} - \frac{3x}{7}\)

\(8 - 3x = 14\)

\(3x = -6\)

\(x = -\frac{6}{3}\)

\(x = -2\)

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The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

Abbey lane is parallel with brittney drive

collin street is perpendicular with brittney drive

Doltan road is parallel with abbey lane

Edward street is perpendicular to doltan road

From the given conditions the map can be constructed in many ways,

we can construct the map as,

Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results.

larger sample sizes generally increase the certainty of the statistical test. This is because larger samples provide more information and reduce the likelihood of chance variations affecting the results. The estimated parameter becomes more stable and accurate with a larger sample size. Additionally, larger sample sizes allow for the detection of smaller effect sizes and greater statistical power. However, it is important to note that sample size alone does not guarantee the validity of the statistical test. Other factors such as sampling methods, data quality, and appropriate statistical analysis must also be considered.
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results. Additionally, larger sample sizes decrease the margin of error and increase the statistical test's power, allowing for better detection of true differences or relationships in the population. Overall, larger sample sizes lead to more reliable and valid conclusions in statistical tests.

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Answer:

y = x - 6

y = x - 2

Step-by-step explanation:

In order to find the equation for each line, we have to first find the slope.

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

m = \(\frac{7-6}{1-0}\)

m = \(\frac{1}{1}\) = 1

Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.

y = m(x - b)

6 = 1(0 - b)

6 = -b

b = -6

After finding b, plug everything into the equation.

y = m(x - b)

y = x - 6

m = \(\frac{0-(-6)}{2-(-4)}\)

m = \(\frac{6}{6}\) = 1

Now, we have to find the y-intersect, b. In order to do that, plug y and x into the equation and solve for b.

y = m(x - b)

0 = 1(2 - b)

0 = 2 - b

-2 = -b

b = 2

After finding b, plug everything into the equation.

y = m(x - b)

y = x - 2

hope it helps :)

mark brainliest!!! (put in a lot of effort and time!)

Step-by-step explanation:

say if the irrational sqrt was the sqrt of 5. to find the approximation you would figure out what two perfect squares the sqrt of 5 lies between. which is sqrt of 4 and the sqrt of 9. then find the sqrt of those perfect squares which is 2  and 3. now you know that the sqrt of 5 will lie somewhere between 2 and 3.

The probability of picking a blue counter from the bag is 1 / 13.

The number of counters initially in the bag:

The number of counters now in the bag:

13/26

x = 13 - 5 = 8

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

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Answer:

Step-by-step explanation:

Answer:

me

Step-by-step explanation:

Answer:

I can try to help whats ur question?

Answer:

\(f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}\)

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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