evaluate function for x=2 and x=7 when f(x)= -4x+61

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Answer:

4: “End Behavior”

Step-by-step explanation:

The end behavior of a function “f ” describes the behavior of the graph of the function at the “ends” if the x-axis.

In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞) and to the left end of the x-axis (as x approaches -∞).

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The words that can be used as subjective pronouns are they and you

From the question, the word category is:

subjective pronouns

By definition, these are pronouns that can be used as a subject

In English, the subjective pronouns are I, you, he/she/it, we, you, they and who.

Hence, the words that can be used as subjective pronouns are they and you

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Given data:

The given triangles.

The GH is the segment bisector or G is the mid point of DE.

Thus, the options first and fifth are correct.

Answer: 105 students

explanation: set up a proportion. 70/100 =x/150. cross multiply. (70x150)/100=105

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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At an amusement park, having 1,500 adults who entered the park during the 9:00 a.m. hour. and a 75% increase for the 10:00 a.m. hour, with each ticket costs at $49.95 the expression for the total amount collected during the two hours is:

​​49.95(1500+1500(1.75)) ; The expression is 1,500 for the first hour and 1,500 plus the additional 75 percent for the second hour

The expression for the cost is computed from the word problem as follows

At an amusement park, there were 1,500 adults who entered the park during the 9:00 a.m. hour.

= 1500

During the 10:00 a.m. hour, there was a 75% increase

= 1500 * 1.75

= 1500(1.75)

If each ticket costs $49.95, the total cost

= $49.9(1500 + 1500(1.75))

Hence, the expression is 1,500 for the first hour and 1,500 plus the additional 75 percent for the second hour

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Answer:

The statement is not true. There is an error in the following step:

\(\frac{r^{k} * r^{k} }{r^{(k-1)} } = \frac{1 * 1}{1}\)

Step-by-step explanation:

Here is the complete proof:

\(r^{k + 1} = r^{k + k - (k - 1)}\)  (because k + k - (k - 1) = k + 1)

\(= \frac{r^{k} * r^{k} }{r^{(k-1)} }\) (By laws of exponent)

\(= \frac{r^{k} * r^{k} }{r^{k} * r^{-1} } }\)

\(= \frac{r^{k} * r^{k} * r^{1} }{r^{k}} }\) (Since the power of r is a negative integer i.e. -1 it will shift to the numerator)

\(= r^{k} * r^{1}\)  (We get this equation after canceling out the similar terms in numerator and denominator in previous step)

\(= r^{k + 1} \neq 1\) (Provided r > 1 or r < -1)

Answer:

total area = 14.6 units²

Step-by-step explanation:

rectangle = 3 x 5 = 15

cos 30 = height/3

triangle height = 2.6

triangle = 1/2(3)(2.6) = 3.9

semi circle = (3.14)(1.5²)(.5) = 3.53

total area = 15 + 3.53 - 3.9 = 14.63

Answer:

1

Step-by-step explanation:

Answer:

36 but you need to be able to get there! See explanation and I hope it helps.

Step-by-step explanation:

First, inside the parentheses do the power and the multiplication. DO NOT SUBTRACT FIRST.

(14 - 8)^2 now do the subtraction inside the parentheses

(6)^2 = 6 x 6 is 36

Order of operations is VERY IMPORTANT

Answer:

33 elements

Step-by-step explanation:

Set A has 59 elements. Set A and Set B share 26 elements.

This means that 26 out of the 59 elements in Set A are also in set B.

Therefore, to find the number of elements not in Set B, you need to subtract the common elements from the total amount of elements in Set A.

59 (total in Set A) - 26 (common in Set A) = 33 (unshared elements).

The quadrilateral can bet be classified to be a : Trapezium

A trapezium can be defined as a quadrilateral that has four side. It has a pair of parallel sides which are mostly the top and the bottom.

A trapezium is a shape that is made up of a square and two right angled triangle.

So from the vertices given we could see that the top is smaller than the bottom, which will lead to a trapezium when all four points are joined together.

In conclusion, The quadrilateral can bet be classified to be a Trapezium

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Answer:

-1 / 0 + -1 and the list goes on

Step-by-step explanation:

The two expressions are written as :

3f+4s+2f this expression that we have here is a mathematical expression that we can  combine by making use of the commutative addition.

We would have the first expression when we write the equation as:

3f+4s+2f = 3f + 2f + 4s

We would have the second expression when we write the equation as

5f + 4s

This is the solution of the expression.

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two expressions that are equivalent to 3f+4s+2f ?

If sales tax rate on a new vehicle is 6.5 percent. If the vehicle is priced at 12,000, then 780 will be charged for sales tax

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The sales tax rate on a new vehicle is 6.5 percent.

The price of the vehicle is 12000

We need to find the how much will you be charged for sales tax

Let us convert 6.5 percent to the decimal value by dividing it with 100

6.5/100×12000

0.065×12000

780

Hence, 780 will be charged  for sales tax.

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

5 5/8

Step-by-step explanation:

2 2/3=8/3

8/3x=15

x=15*3/8

x=5 5/8

Answer:

Step-by-step explanation:

67267642qwu62we2q\(x^{2} \alpha we2qe\pi qeqe\beta \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx x_{123} \alpha \pi \\ \\ \\ \\ \neq x^{2} \alpha \sqrt[n]{x} \sqrt[n]{x} x^{2}\)e5427856418548248e654815

That's a question about exponentiation.

Answer:

Kenji is wrong because he does not aply the porperty correctly.

Step-by-step explanation:

A exponetiation has this form:

\(\boxed{a^b}\)

a is the base

b is the power or exponent

To understand that situation it's important to know a property about exponentiation. When we have a multiplication with the same exponent and diferent bases, the result is the multiplication of the bases with the same exponent. Let's see this above, in mathematical language:

\(\boxed{a^b \cdot c^b = (a\cdot c) ^b}\)

Examples:

Now, we can say why Kenji is wrong. It's easy simplify \(3^5 \cdot 4^5\)! We know that the result is \((3 \cdot 4) ^5 = 12^5\), but Kenji multiplied the bases and added the exponents, that's why he is wrong.

I hope I've helped. ^^

Enjoy your studies! \o/

ABCD is a rhombus and side AE Is congruent to EC. Then triangle AEB is congruent to CEB.

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

Given that the side AE is congruent to EC of rhombus.

That means, AE ≅ EC.

And the diagonals of rhombus bisects each other.

Both the triangle AEB and triangle CEB share the same side which is BE.

That means BE ≅ BE, by the reflexive property.

And the sides AB and BC are the sides of rhombus.

So, AE ≅ BC.

Therefore, if ABCD is a rhombus and side AE Is congruent to EC. Then triangle AEB is congruent to CEB.

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Answer: so either .64 or , .66,

Step-by-step explanation:

divide 3.86 by 6

The equation of the shifted line is y = x + 2

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

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4