Which graph represents the function f (x) = StartFraction 5 minus 5 x squared Over x squared EndFraction?

Answer:

(3,0)

Step-by-step explanation:

Answer:

47...

Step-by-step explanation:

the product of 4 and 8 is 32 and added 15 then it is 47.

Answer:

47

Step-by-step explanation:

4*8+15=32+15=47 (by BODMAS rule)

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Answer:

The 4th term of the linear sequence = 3

Step-by-step explanation:

First term, a = -9

Common difference, d = -5 - (-9)

= -5 + 9

= 4

d = 4

The 4th term of the linear sequence = a + (n - 1)d

where,

n = 4

a + (n - 1)d

= -9 + (4 - 1)4

= -9 + (3)4

= -9 + 12

= 3

The 4th term of the linear sequence = 3

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

The measure of the unknown angle or arc are 142 degrees, 65 degrees and 36 degrees

Figure 1

The measure of the angle is calculated as

Angle 1 = 1/2 * 284 degrees

Evaluate the expression

Angle 1 = 142 degrees

Figure 2

The measure of the angle is calculated as

Angle 1 = 1/2 *(72 + 58) degrees

Evaluate the expression

Angle 1 =  65 degrees

Figure 3

The measure of the angle is calculated as

Angle 1 = 1/2 *(138 - 66) degrees

Evaluate the expression

Angle 1 = 36 degrees

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Answer:

The value of t is 1.75 years.

Step-by-step explanation:

Given that simple interest formula is I = (P×R×T)/100. So you have to substitute the following values into the formula :

\(i = \frac{prt}{100} \)

\(let \: i = 350,p = 2400,r = \frac{25}{3} \)

\(350 = \frac{2400 \times \frac{25}{3} \times t }{100} \)

\(350 = \frac{20000t}{100} \)

\(350 \times 100 = 20000t\)

\(20000t = 35000\)

\(t = 35000 \div 20000\)

\(t = 35 \div 20\)

\(t = 1.75 \: years\)

Therefore , the solution of the given problem of unitary method comes out to be 25 vehicles had precisely two of the available options.

By multiplying the data obtained with such a nanosection variable whilst also two that used the unilateral strategy, the job can be finished. In essence, this mean that whenever a desired item appears, the specified entity is set or the colour space of both production runs is skipped. A varying fee of Inr ($1.01) might have been necessary for forty pens.

Here,

We can apply the inclusion-exclusion concept to resolve this issue. To begin, let's draw a Venn diagram to symbolise the supplied data:

where A is the proportion of vehicles with air conditioning, B is the proportion of vehicles with automatic gearbox, and C is the proportion of vehicles with power steering.

The information provided lets us know:

=> A = 87 + 8 + 24 = 119

=> B = 99 + 8 + 9 = 116

=> C = 73 + 8 + 9 = 90

=> A ∩ B ∩ C = 8

=> A ∩ B ∩ C' = 24 - 8 = 16

=> A ∩ B' ∩ C = 9

=> A ∩ B' ∩ C' = 64 - 9 - 8 - 16 = 31

=> A' ∩ B ∩ C = 0

=> A' ∩ B ∩ C' = 35 - 9 - 8 - 16 = 2

=> A' ∩ B' ∩ C = 0

=>  A' ∩ B' ∩ C' = 24 - 8 - 16 - 2 = -2

Since there cannot be fewer than 0 cars without any extras, this number must be negative.

=> (A ∩ B' ∩ C) + (A ∩ B ∩ C') + (A' ∩ B ∩ C) = 9 + 16 + 0 = 25

As a result, 25 vehicles had precisely two of the available options. There may have been a mistake in the problem or the answer alternatives since the correct response is not one of the available choices.

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For the given quadratic equation we only have a maximum at y = 18.

Here we have:

\(f(x) = -2x^2 - 4x + 16\)

Notice that this is a quadratic equation of negative leading coefficient.

Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.

The vertex is at:

x = -(-4)/(2*(-2)) = -1

The maximum is:

\(f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18\)

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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The possible temperatures are represented by (-∝, 29)

Let the high temperature be x

So, the statement can be represented as:

2x > 5x - 87

Subtract 5x from both sides

-3x > -87

Divide both sides by -3

x < 29

In interval form, we have (-∝, 29)

Hence, the possible temperatures are represented by (-∝, 29)

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Answer:

1

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

y-1

with the restriction y cannot equal -1

Step-by-step explanation:

y+1

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

y^1 -1

Noticing that the denominator is the difference of squares and factoring

y+1

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

(y+1)(y-1)

Canceling like terms

1

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

y-1

with the restriction y cannot equal -1

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Answer:

Kids = β(0) + β(1) educ + E

Step-by-step explanation:

Kids = β(0) + β(1) educ + E

Where "E" stands in for other factors, such as maybe an error in the estimated age of the mother, an error in the predicted income level, or even an error in religion. And we all know for certainty, that whereever education is being discussed, age and income would always be related.

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

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

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

31 pennies

Step-by-step explanation:

Given that:

Breaking the number of pennies into 2 groups, there is 1 penny left over.

Breaking the pennies into 3 groups, there is 1 penny left over.

Breaking the pennies into 5 groups, there is 1 penny left over.

Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.

So that;

31 = 15 + 15 + 1 =  2 groups + 1

31 = 10 + 10 + 10 + 1 = 3 groups + 1

31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1

There are 31 pennies.

Gas prices were $2.52 at two different times: 32 weeks after January 6, 2020, which is September 7, 2020, and 2 weeks after January 6, 2020, which is January 20, 2020.

The mathematical function known as the absolute value function, indicated by the symbol |x|, returns the non-negative value of its input, whether it is positive or negative. All negative output numbers are turned positive using the absolute value function. Consequently, if the expression included in the absolute value brackets is negative, the graph of G(x) will be mirrored across the x-axis.

The given function is G(x)=|0.05x−0.85|+1.77.

To get the value of the gas at $2.52 we set the value of the function as 2.52 that is:

|0.05x - 0.85| + 1.77 = 2.52

|0.05x - 0.85| = 0.75

0.05x - 0.85 = 0.75 or 0.05x - 0.85 = -0.75

0.05x = 1.6 or 0.05x = 0.1

x = 32 or x = 2

Hence, gas prices were $2.52 at two different times: 32 weeks after January 6, 2020, which is September 7, 2020, and 2 weeks after January 6, 2020, which is January 20, 2020.

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Answer:

4

BRAINLIEST, PLEASE!

Step-by-step explanation:

It crosses at x = -4, 0, 4, and 5.

The linear functions for each diagonal are given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For diagonal BD, the points are given as follows:

D(-3,-3) and B(3,3).

The slope is given by the change in y divided by the change in x, hence:

m = (3 - (-3))/(3 - (-3)) = 1.

Hence:

y = x + b.

When x = 3, y = 3, hence the intercept b is given as follows:

y = x.

The diagonals are perpendicular, meaning that the multiplication of their slopes is of -1, hence the slope of AC is of:

m = -1.

Hence:

y = -x + b

When x = -3, y = 3, hence the intercept b is given as follows:

3 = 3 + b

b = 0.

Hence the equation is:

y = -x.

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Answer:

0.018

Step-by-step explanation:

Answer:

Step-by-step explanation:

base x height divided by 2

4x3=12

12 divided by 2 = 6

6x5= 30

Answer:

i think it's x=-1 and x=7

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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The surface area of a regular pentagonal pyramid is 10.25 sq cm.

We are given that the height of the pentagonal pyramid is 1 cm and the base is \(\sqrt{2}\) cm. We have to find the surface area of the pentagonal pyramid.

Firstly, we will find the base apothem of the pentagonal pyramid. As we have five triangular faces in this pyramid. Therefore, we will divide the angle 180 degrees by 5. Therefore, our angle is 36 degrees.

a (base apothem ) = 2 cot \(36\textdegree\) = 2.75 cm.

Now, we will find the slant height

slant height (l) = \(\sqrt{(h)^2 + (a) ^2}\)

As we know, h = 1cm and a = 2.75 cm. Therefore, substituting the values, we get the slant height as

l = \(\sqrt{(1)^2 + (2.75) ^2}\)

l = \(\sqrt{1 + 7.56}\)

l = \(\sqrt{8.56}\)

l = 2.92 cm

Now, we will find the surface area using the formula.

S = 5(1/2 * b * l)

S = 5( 1/2 × \(\sqrt{2}\) × 2.92)

S = 5 * 1/2 * 1.41 * 2.92

S = 5 * (4.117/2)

S = 5 * 2.05

S = 10.25 sq cm

Therefore, the surface area of the regular pentagonal pyramid is 10.25 sq cm.

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Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

In conclusion, none of the given statements are correct based on the information provided.

To determine the correct statement, let's analyze the given information and the regression equation:

The regression equation for estimating the number of customers on a given day is y = 1.03x + 229.4, where x represents the day number and y represents the number of customers served.

We are also given that the restaurant has been making a net profit of $5.82, on average per customer:

Now let's evaluate each statement:

A. On day 7, the owner can expect 15 more customers than she has served on day 6.

To determine the number of customers on day 7, we substitute x = 7 into the regression equation:

y = 1.03(7) + 229.4 = 7.21 + 229.4 = 236.61

So, the number of customers on day 7 is approximately 237, which is not 15 more than the number of customers served on day 6.

Therefore, statement A is incorrect.

B. If the number of customers continues to follow the current trend, the restaurant will make a net profit of $1,377 on day 7.

To calculate the net profit on day 7, we need to multiply the average net profit per customer ($5.82) by the number of customers on day 7:

Net profit on day 7 = $5.82 \(\times\) 237 ≈ $1,379.34

So, statement B is incorrect as the net profit on day 7 is not expected to be $1,377.

C. On day 12, the owner can expect a net profit of $1,300.

Since the question only provides information about the number of customers served for the first 6 days, we cannot determine the net profit on day 12.

Therefore, statement C is incorrect.

D. Net profit for days 6 and 7 combined is expected to be less than the earned net profit on day 1.

To calculate the net profit for days 6 and 7 combined, we need to calculate the number of customers on both days using the regression equation and then multiply it by the average net profit per customer.

Let's substitute x = 6 into the regression equation:

y = 1.03(6) + 229.4 = 6.18 + 229.4 ≈ 235.58

Now, let's calculate the net profit for days 6 and 7 combined:

Net profit on days 6 and 7 = ($5.82 \(\times\) 235) + ($5.82 \(\times\) 237) ≈ $2,735.2

Comparing this to the earned net profit on day 1, we cannot determine if it is less or greater without the information provided.

Therefore, statement D is incorrect.

In conclusion, none of the given statements are correct based on the information provided.

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Answer:

1

Step-by-step explanation:

To find the slope take two points on the line

(-1,0) and (0,1)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 1-0)/(0- -1)

    = (1-0)/(0+1)

    = 1/1

  = 1

The initial total attendance at a science museum is modeled by the function f(x)=17,371(1.041)x will be 17371.

It should be noted that from the information, the total attendance at a science museum is modeled by the function

In this case, the total attendance when x=0 will be:

f(x) = 17,371(1.041)x.

f(x) = 17,371(1.041^0)

= 17371 × 1

= 17371

Therefore, the total attendance when x = 0 will be 17371.

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