For the rational function f(x)=2−x4x+6, find the point on the graph at the function value f(x)=1.

Answer:

85

Step-by-step explanation:

Given: If triangle ABC is similar to triangle DEF, the sides of triangle ABC must be congruent to the corresponding sides of triangle DEF.

Required: To determine if the given statement is true or false.

Explanation: If two triangles are similar, then their corresponding sides are in equal proportion. So, if triangle ABC is similar to triangle DEF then

Final Answer: Option B, False is correct.

Answer:

1.63

2.300

3.96

4.180

5.186.2

6.194.4

Step-by-step explanation:

The function's domain and range are \($x \leq-2, f(x) \leq-8$\). a part of the job

\($f(x)=-\frac{8}{6}(x+2)^2-8$\) .

Domain of \($-\frac{5}{6}(x+2)^2-8:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-\frac{5}{6}(x+2)^2-8:\left[\begin{array}{cl}\text { Solution: } & f(x) \leq-8 \\ \text { Interval Notation: } & (-\infty,-8]\end{array}\right]$\)

Axis points of interception \(\frac{-5}{6}(x+2)^2-8: \quad\) Y Intercepts: \($\left(0,-\frac{34}{3}\right)$\)

Vertex of \($-\frac{5}{6}(x+2)^2-8:$\) Maximum (-2,-8)

A graph's inflection point is a location where the second derivative changes sign and is equal to 0 or undefined.

If \($f^{\prime \prime}(x) > 0$\) after which f(x) concave upward.

If \($f^{\prime \prime}(x) < 0$\) after which f(x) concave downward.

\($f^{\prime \prime}(x)=-\frac{5}{3}$\)

Therefore the correct answer is Domain \($x \leq-2$\) ,range  \(f(x) \leq-8$\) .

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Answer:

400

Step-by-step explanation:

8*20/2+16*20=400.

Answer:

UMM...........

Step-by-step explanation:

The sixth number of the arithmetic progression is 44

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

For example 3, 8 , 13, 18, 23 is an arithmetic progression with common difference of 5

The nth term of a sequence is given as a1+(n-1)d

where a1 is the first number

Therefore

a5= 37

a4= 30

a2= 16

a3 = (30+16)÷2 = 46÷2= 23

therefore common difference = 23-16 = 7

a1 = 16-7= 9

therefore a6 = fifth number + common difference

a6= 37+7= 44

therefore the sixth number is 44

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Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

Answer:

f(t) = 5.4 + 0.3sin (2π/4.5t)

Step-by-step explanation:

See attachment

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

Since c represents the number of pounds of chocolates

Since n represents the number of pounds of nuts

Since Clint is making 10 pounds of them, then

Since the cost of 1 pound of chocolates is $3.00

Since the cost of 1 pound of nuts is $6.00

Since the Clint budget is $5.1 per pound, then

Multiply c by 3 and n by 6, then add the products and equate the sum by 51

The system of equations is

c + n = 10

3c + 6n = 51

Let us solve them

Multiply equation (1) by -3 to make the coefficient of c equal in values and different in signs

Add equations (2) and (3)

Divide both sides by 3 to find n

Substitute n by 7 in equation (1)

Subtract 7 from both sides

He should use 3 pounds of chocolate

He should use 7 pounds of nuts

If his budget is $51

Answer:

1:8 , 1/8

Step-by-step explanation:

4 blouses / 32 buttons

= 1 blouse / 8 buttons

(4 and 32 share a GCF of 4)

Answer:

I think it would be 1 to 8

Step-by-step explanation:

32 divided 4 equals 8. So for every 1 blouses she uses 8 buttons. So the ratio would be 1( blouse )to 8(buttons).

Answer:

They are making more than 50% of Teachers.

Step-by-step explanation:

In the diagram given showing the box plot for construction workers and teachers, the first quartile ranges from the whisker to the left and the beginning of the edge of the rectangular box.

Thus, comparing the first quartile for salary of Construction workers and Teachers, we would see that the first quartile mark is approximately the same as the median for Teachers. The median is the vertical line that divides the rectangular box.

Therefore, we can conclude that if a person is making a first quartile salary for construction worker ($30,000), they are receiving more than 50% of what Teachers are receiving. Median is about 50%. The median salary for Teachers is ($30,000).

Answer:

30 degress

Step-by-step explanation:

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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Answer:

59m

Step-by-step explanation:

280 =81+81 +w + w

280=162+2w

2w =280-162

w=118/2

w=59m

Answer:

  see attached

Step-by-step explanation:

You want the truth table for a logical implication that involves other logical expressions with up to three variables.

A truth table is conveniently produced using the logical operations available on a spreadsheet. The AND (∧), OR (∨), and NOT (¬) functions are built-in to the spreadsheet. The implication (→) function must use the equivalent:

  p → q ≡ ¬p∨q

If p, q, and r are in columns A, B, C, respectively, then the formulas in columns D through G are ...

The formulas are filled to the following rows.

The values of p, q, and r are entered manually. The spreadsheet computes the truth values for the formulas.

Answer:

2.6, 2 3/5, 2 6/10

Step-by-step explanation:

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Answer:

Step-by-step explanation:

x - 14 < -23

x < -9

Answer:

At least 8 rows

Step-by-step explanation:

45 divided by 9 is 5. That is 5 rows

9x3= 27 and there are 23 adults. So that is 3 rows

5+3=8

8 rows in total.

Answer: x=15/8

Step-by-step explanation:

Answer:

7034529

Step-by-step explanation:

Assuming you mean to multiply 0.75 by 9379372, the result would be:

0.75 x 9379372 = 7034529

Answer:

1 5/6 gallons

Step-by-step explanation:

1. 5 1/2 = 11/2 gallons

2. She uses: 1/3 x 11/2 = 11/6 gallons

3. so: 11/6 = 1 5/6 gallons

I'M MARIE!!!

Answer: the answer is c

Step-by-step explanation:

Ms Lee can make 2 teams,Each team has 9 of 6th graders and 14 of 7th graders.

Factor 18 = 1, 2, 3, 6, 9, and 18.

Factor 28 = 1, 2, 4, 7, 14, and 28.

GCF of 18 and 28 is 2

6th graders for each team= 18/2= 9 students

7th graders for each team= 28/2= 14 students

GCF stands for Greatest Common Factor. A factor is a number that divides evenly into a number.

Example:

Factors of the number 6

6 : 1 = 6

6 : 2 = 3

6 : 3 = 2

6 : 6 = 1

Then, the factors of 6 are 1, 2, 3, and 6

Factors of the number 12

12 : 1 = 12

12 : 2 = 6

12 : 3 = 4

12 : 4 = 3

12 : 6 = 2

12 : 12 = 1

Then, the factors of 12 are 1, 2, 3, 4, 6, and 12

GCF are the same factors of two or more numbers which has the greatest value. Numbers 6 and 12 have the same factors (common factors), namely 1, 2, 3, and 6. The common factor with the greatest value is 6. So, the GCF of 6 and 12 is 6.

Your question is incomplete but most probably your full question was:

Greatest Common Factor (GCF)-Instruction-Level F

The chess club teacher, Ms. Lee, is making teams with her students. She has 18 sixth graders

and 28 seventh graders. To be fair, Ms. Lee wants there to be the same number of sixth grade

students and the same number of seventh grade students on each team.

How many sixth graders and seventh graders will each team have?

Each team will have

sixth graders and ? seventh graders.

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Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

In an expanded form, we are breaking up a number according to their place value.

For 504,969, we break-up each digit according to their place value except zero (0) because it has no significant value, hence, we get,

From the breakdown we made, B is the answer among the choices.