What value(s) of δ are an appropriate choice when proving the following limit?

limx→−2(x2+8x+17)=5

Enter your answer in terms of ε. You should assume that 0<δ<4.

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

0.36 miles

Step-by-step explanation:

a) Making x the subject of the formula in terms of r is; x = (r + 1)/r

b) Solving for r and x gives; r = 5/3 and x = 8/5

a) We are given that;

r = 1/(x - 1)

We are asked to make x the subject of the formula in terms of r. Thus;

Multiply both sides by (x - 1) to get;

rx - r = 1

r + 1 = xr

x = (r + 1)/r

b) We are given that;

xr + ²/₃ = 2r

Put (r + 1)/r for x to get;

r(r + 1)/r + ²/₃ = 2r

r + 1 + ²/₃ = 2r

1 + ²/₃ = r

r = 5/3

Put 5/3 for r into the x equation to get;

x = ((5/3) + 1)/(5/3)

x = (8/3)/(5/3)

x = 8/5

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The function is y = 3(x+3)^2-9

The equation of a parabola is

y=a(x-h)^2+k

where (h,k) are the coordinates of the vertex and a, is a constant.

From the question, we have

(h,k)=(-3,-9)

⇒y=a(x+3)^2-9

To find a, substitute x=-2,y=-6

-6=a(-2+3)^2-9

⇒a=3

The equation, y=3(x+3)^2-9

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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SOLUTION

The equation of the line given is

The x-intercept is the value of x when y=0

Hence we have

Hence the x-intercept is

The Y-intercept is the value of y when x=0

Answer:

C

Step-by-step explanation:

i believe it C.

no matter which point to point of line you go,

it will always be a six line symmetry.

9514 1404 393

Answer:

  C

Step-by-step explanation:

Figure C has 6 lines of symmetry as shown in the attachment.

Answer: 700 Hamburgers

Answer:

I believe the answer is 700

Complete Question:

Determine whether the statement is true or false. If it is false, provide an explanation or give an example.

If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?

Answer:

False

Step-by-step explanation:

Given

[a,b]

Where f(x) is decreasing

Required

Is the minimum f(a)?

This statement is false and it is proved using the following illustration

Take f(x) to be

\(f(x) = -2x\)

The above represents a decreasing function because:

f(x) decreases as x increases

Having said that:

Assume [a,b] is:

\([a,b] = [2,5]\)

Substitute the value of a i.e. 2 for x in f(x)

\(f(2) = -2 * 2\)

\(f(2) = -4\)

Substitute the value of b i.e. 5 for x in f(x)

\(f(5) = -2 * 5\)

\(f(5) = -10\)

Notice that f(b) < f(a) i.e. -10 is less than -4

Hence:

f(x) is minimum at f(b)

Conclusively, the statement is false

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

\(y - 4x = 1\)

Step-by-step explanation:

Given

\((x_1,y_1) = (1,5)\)

\((x_2,y_2) = (3,13)\)

Required

The equation of the line

Back up:

First, calculate the slope(m)

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

\(m = \frac{13-5}{3-1}\)

\(m = \frac{8}{2}\)

\(m = 4\)

Calculate the area using:

\(y - y_1 = m(x - x_1)\)

\(y- 5 = 4(x - 1)\)

\(y- 5 = 4x - 4\)

Collect Like Terms

\(y - 4x = 5 - 4\)

\(y - 4x = 1\)

Answer:

25%, 40 trees, 50%, 36 trees

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

Is  part, share, or number considered in comparative relation to a whole: Step-by-step explanation: Please Mark Brainliest

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

75 student tickets and 525 adult tickets

Step-by-step explanation:

Answer:

\(x = \frac{1}{4}\)

\(y= 1\)

Step-by-step explanation:

Given

\(y - 2xy + 4x = 1\)

Solving (a) The x intercept

Let y = 0

\(y - 2xy + 4x = 1\)

\(0 - 2x*0 + 4x = 1\)

\(0 - 0 + 4 x = 1\)

\(4x = 1\)

Divide both sides by 4

\(x = \frac{1}{4}\)

Let x = 0

\(y - 2xy + 4x = 1\)

\(y - 2y * 0 + 4*0 = 1\)

\(y - 0 + 0 = 1\\\)

\(y= 1\)

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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Answer:

4.8 and 5.2

Step-by-step explanation:

5+.2=5.2   5-.2=4.8

Hopes this helps!

For me i got the awnser -15 and 25

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

y=-1x-1

Step-by-step explanation:

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

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Step-by-step explanation:

there is no image how am I supposed to solve it

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps :)

Answer:

False for the first one

true for the second

true for the last

Step-by-step explanation:

The triangle with 2 angles as 90° is not possible and the statement is false

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ∠ABC

Now , the measures of the angles of the triangle are

A triangle has two 90° angles and a side 12 centimeters in length

So , ∠ABC = ∠BAC = 90°

And , For a Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Therefore , a triangle cannot be formed with 2 angles as 90°

Hence , the statement is False

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Answer:

A

Step-by-step explanation:

The table shows that more Republicans and Democrats do not support the law than do support the law