Graph the linear function f(x)=4x+1 by plotting points.

To plot points, click on a point on the graph and drag it to the desired location.

Given

two hundred two and two thousandths.

Answer

202.002

Option D is correct

The end behavior of each function is given as follows:

The end behavior of a function is given by the limits of the function as x goes to infinity, both negative and positive infinity, giving how the function behaves to the left and to the right of the graph.

For a polynomial function, only the term with the highest exponent is considered for the calculation of the limit, which is a standard rule for limits when x goes to infinity.

The first function is given by:

f(x) = 6x^9 - 6x^4 - 4.

Then the limits that define the end behavior of the function are given as follows:

The second function is given by:

f(x) = -3x^4 - 6x + 4x - 5.

Then the limits that define the end behavior of the function are given as follows:

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Answer:

B

Step-by-step explanation:

hello the question is if it took 12 men 5 hours to build an age is working at the same rate how many additional men could have been hired in order for the job to have taken 1 hour less ok so we have to find that how many extra may be required to complete the job for a strip 1 hour less than five hours that is 4 hours ok bye have to complete the airstrip in 4 hours and they have to find that how many experiment we have to required for that we will assume that let extra number of number of extra man bhi X show the number of men when we are finishing in it in 4 hours would be 12 + X ok

would be the number of men now and time required would be equal to 1 hour less than 5 hours that is 4 hours ok no from the given data we can say that one cares if strip x 12 men and fibres ok so all vacancy job correct so vacancy job per man are would be 1 divided by 12 in 25 this is the job or the amount of a strip that is completed when

one man works for one hour ok so this is the amount of the job that is done for men power and we have we have this number of men that are not want working and the number of hours that their working for so for one job we will need for one job would be best job per man per hour into number of men into number of hour ok and we have 1 equal to number of Doberman per Rs 1 by 2 11 25 and number of men we have already know that 12 + 6 is the number of men that we will require 12 + X number

forces were less than 5 that is 44 4312 so it would give us 12 + X / 3515 1 to 15 of this site it would give us 12 + X equal to 15 which implies X is equals to 15 - 12 and X is equals to 3 significant required 3 more men to complete the job in Porus dancer is 3 which is given is be in the question make you

Answer:

Step-by-step explanation:

The triangles are congruent because they follow the SSS triangle congruence postulate. As the SSS postulate says that all 3 sides of one triangle are congruent to another triangle's sides, these triangles shown have all three of their sides congruent to each other.

Answer: I am no sure but the only way to decide whether a pair of triangles are congruent would be to measure all of the sides and angles, and these triangles do not look the same so I would say that these tringles are not congruent.

Step-by-step explanation:

By multiplying z1 and z2, we get:

Applying the distributive property:

In order to simplify this, we can use the following trigonometric identities:

By taking β as 135 and α as 240, we can write:

Then, by grouping some terms of the expression, we get:

375° is equivalent to 15° (375 - 360 = 15), then the product of z1 and z2 can be finally written as:

Then, option A is the correct answer

we have

2^3= 8

Applying log both sides

log(2^3)=log(8)

Apply property of log

3log(2)=log(8)

therefore

C=3 and D=log(8)

From the scenario, the following are the pieces of information being given:

Price of Gift = $50

Discount Coupon used = 20% Off

Let's compute how much will Sidney spend on the gift after the coupon.

Step 1: Let's determine the equivalent amount of the discount.

Step 2: Let's deduct the equivalent amount of 20% to the actual price of the gift.

Therefore, Sydney will spend $40 on the gift after the coupon.

Given:

Area of the square shaped lawn = 224.9 ft²

A square has all four side lengths equal.

To find the side length of this lawn, use the formula for area of a square below:

Take the square root of both sides to find the sile length L:

Therefore, the measurement that is closest to the side length in feet is 15 ft

ANSWER:

15 ft

Let's suppose that 1 = TRUE and 0 = FALSE, we want to find how many combinations we can do with 11 zeros and ones, in fact, it's:

To evaluate the number of combinations we can do:

2 because we can pick 2 different options (true or false) and 11 because it's the number of questions, then

We have 2048 different ways that this test can be completed.

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

Triangle is a very common figure to deal with in our daily life.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠A +  m∠B +  m∠C = 180°

m∠C = 180° - 58° -  44°

m∠C = 78°.

The exterior angle of C = 180- 78 = 102°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".

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Answer:

136

Using the exterior angle theorem,

Step-by-step explanation:

By theorem we have the following:

And, we are given:

Then:

Now, we replace h and A:

And solve for a:

Then, the possible values for a are:

We can see that a1, and a2 are not solutions, therefore a2 and a4 are.

So, the two possible b sides are then:

and:

So, the lengths of the two sides can be:

a = 4.38 and b = 24.99

or

a = 24.61 and b = 15.50

To solve this problem, we will use the two pair of points to find the slope of the equation of each line. Then, by comparing these slopes, we can determine either if they are perpendicular or parallel.

Slope calculations

To calcula the slopes, given the pairs of points, we are going to use the following formula: Given points (a,b) and (c,d) the slope of the line that passes through them is given by the formula

Let us calculate first the slope of the line that passes through the points (7,5) and (-14,-9). In this case, we have a=7,b=5,c=-14 and d=-9. So we get

Now, let us calculate the slope of the line that passes through the points (0,1) and (4,-5). In this case, we have a=0,b=1,c=4 and d=-5. So we get

Slope comparison

Now, we compare the slopes to determine if the lines are perpendicular or parallel. Recall that two lines are parallel if they have the same slope and they are perpendicular if the product of their slopes is -1. From our calculations, we can see that the slopes are not equal. Let us confirm that they are perpendicular. To do so, we multiply both slopes. So we get

Since their product is -1, this confirms that both lines are perpendicular.

ANSWER

• x = 12

• y = 16

• z = 7

EXPLANATION

Because the triangles are similar, we have that:

• The ratio between corresponding sides is constant:

• Corresponding angles are congruent:

We know that the measure of angle E is 16°, so the measure of angle G must be the same because they are congruent,

With this equation, we can find x. First, divide both sides by 2,

And then, add 4 to both sides,

Hence, x = 12.

Now we know that the length of side EF is,

To find y and z, we will use the proportions we got at the top of this explanation,

Replace with the known values and the expressions with y and z,

With the first two, we can find z,

Simplify the right side,

Rise both sides to the exponent -1 - i.e. flip both sides of the equation,

Multiply both sides by 25,

Subtract 8 from both sides,

And divide both sides by 6,

Hence, z = 7.

Finally, with the last two proportions, we can find y,

The first two steps are the same we did to find z: simplify the left side and flip both sides,

Multiply both sides by 24,

And divide both sides by 3,

Hence, y = 16.

Explanation:

Given the function:

First, we find the vertex of the parabola.

Vertex

The equation of the axis of symmetry is calculated using the formula:

From the function: a=2, b=-12

Substitute x=3 into y to find the y-coordinate at the vertex.

The vertex is at (3, -3).

Two points to the left of the vertex

When x=2

When x=1

Two points to the right of the vertex

When x=4

When x=5

Answer:

Plot these points on the graph: (3, -3), (2,-1), (1,5), (4,-1), and (5,5).

Answer:

The variable that has a set of zero pairs as a coefficients is;

Explanation:

We want to find the variable that has a set of zero pairs as a coefficients.

Zero pair is a pair of number that sum up to give zero.

Given the system of equation;

The pair of coefficient of x is;

The pair of coefficient of y is;

So, since the coefficient of x sum up to give zero.

The variable that has a set of zero pairs as a coefficients is;

ANSWER :

yes

EXPLANATION :

From the problem, we have the inequality :

To check if a number is a solution, substitute it to the inequality and check the truthfulness.

Check if 0 is a solution :

Since 2 is greater than -4, therefore 0 is a solution

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

[tex]{ \rm{y = mx + c}} \\ [/tex]

- So, consider the line given in our question; Let's find its slope m first;

[tex]{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ [/tex]

- From the points given in the question, (-7, 6) and (3, -4)

[tex]{ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}[/tex]

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

[tex]{ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}[/tex]

- y-intercept is -1

hence equation is y = -x - 1

[tex]{ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}[/tex]

I would start by stating the Fundamental Theorem of Calculus which states that;

If a function f is continuous on a closed interval [a,b] and F is an antiderivative of f on the interval [a,b], then

Let

Recall that;

That implies that,

Applying the Fundamental Theorem of Calculus, where a=0, b=3

So the answer is -27/4

Convert the Mixed number to an Improper fraction:

- Multiply the Whole number by the denominator.

- Add the product to the numerator.

- Use the same denominator.

Then:

Then, the total amount of macaroni and cheese Mr. Morales brought was:

After the kids ate macaronis and cheese, the amount he took home was:

After he gave some macaroni and cheese to Mr. Kang the next day, the amount of macaroni and cheese (in pounds) left for mr. Morales to eat, is the following:

The answer is:

Solution:

The general equation of a line of slope m passing through a point A is expressed as

Given that the line has a slope of 5, and passes through the (6, 22), we have

thus,

Hence, the point-slope equation for the line is expressed as

The simplification form of the given mathematical equation 4^5 x 4^3 x 4^2 x 4^3 / 4^2 x 4 x 4^2 is [tex]4^{8}[/tex]

In the given question, it is given

We know the simplification property of the division of numbers as,

Division in exponential form

[tex]\frac{a^{x} }{a^{y} }[/tex] = [tex]a^{x-y}[/tex] , and

Multiplication in exponential form

[tex]a^{x} . a^{y}[/tex] = [tex]a^{x+y}[/tex]

Similarly, we'll apply the same property to solve this question,

[tex]4^{5+3+2+3 + ( -2 -1 -2)}[/tex]

[tex]4^{5+3+2+3 - ( 2 + 1 + 2)}[/tex]

[tex]4^{13 - 5}[/tex]

[tex]4^{8}[/tex]

Hence, the simplification form of the given mathematical equation 4^5 x 4^3 x 4^2 x 4^3 / 4^2 x 4 x 4^2 is [tex]4^{8}[/tex]

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[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{0-0}{4-1} \\m=\frac{0}{1} \\m=0[/tex]

⇒0 divided by any number is 0

OPTION A IS THE ANSWER.

Answer:

A

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (4, 0 )

m = [tex]\frac{0-0}{4-3}[/tex] = [tex]\frac{0}{1}[/tex] = 0

The desired monthly yield at the retirement time will be equal to $565,714.28.

Compound Interest may be defined as the interest earned by the bank on the basis of principle and also accumulated interest which increases exponentially and not linearly with respect to time. In calculating compound interest, the amount earned at the end of first year becomes principle for the next year and so on. Compound interest can be calculated, annually, half-yearly or quarterly etc.

Time for which work is planned = 40 years, Principle = $4500 and APR = 8.4% = 0.084/12 = 0.007.

The value of n = 12 × 25 = 300

The amount can be calculated by the formula A = P/r [1 - (1 + r) ⁻ⁿ]

A = (4500/0.007) [1 - (1 + 0.007) ⁻³⁰⁰]

A = 642,857.14 [1 - 0.12]

A = 642,857.14 × 0.88

A = $565,714.28 which is required amount.

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Complete Question:

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4500 per month. You have access to an account that pays an APR of 8.4% compounded monthly. What monthly deposits are required to achieve the desired monthly yield at retirement?

n > 39/4 is value of quartic equation.

What does quartic equation mean?

A fourth-degree equation, often known as a quartic equation, is one that reduces a quartic polynomial to zero and has the formula: where a 0. A quartic function's derivative is a cubic function.

For a quadratic ax² + bx +c , the sign of its determinant, given by

 Δ = b²- 4ac

"determines" the nature of its roots. In particular, if Δ<0 , then the quadratic has two distinct non-real roots.

Now, we have

3z² - 9z = n - 3

3z² - 9z - (n - 3)  = 0

with determinant

Δ = (-9)² - 4 .3( n - 3 ) = 117 - 12n

Solve for  such that Δ < 0

Δ = 117 - 12n < 0 ⇒  12n > 117

n > 117/12

n > 39/4

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Explanation:

The following is a proof that ∆ABC ~ ∆FED.

1. AB║EF, AC║FD . . . . given

2. ∠BCA ≅ ∠EDF . . . . alternate exterior angles theorem

3. ∠ABC ≅ ∠FED . . . . alternate interior angles theorem

4. ∆ABC ~ ∆FED . . . . AA similarity postulate

Answer:

Formula for slope of line is given as y2-y1 ÷ x2-x1 or y1-y2 ÷ x1-x2, where x and y are the coordinates of the points.

First, identify the coordinates of the two points shown on the graph.

First coordinate is (0,-1) and second coordinate is (3,1).

After that, find the slope of the line using the formula.

Slope = (1-(-1))÷(3-0)

= 2/3

Answer:

I don't know your answer choices but...

Step-by-step explanation:

( 15 • 3) - 20 is equal to:

45-20

25

(5)(3)(3)-20

The measure of angle ∠GSN is 27°.

So, a measure of ∠GSN:

Then, ∠GSN will be:

Therefore, the measure of angle ∠GSN is 27°.

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First let's solve the given inequality:-

So the correct option is (D).

Answer:

[tex]\textsf{Radical form}: \quad \sqrt[4]{2}\\\\\textsf{Exponent form}: \quad 2^{\frac{1}{4}}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sqrt{8} \div \sqrt[4]{32}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies 8^{\frac{1}{2}} \div 32^{\frac{1}{4}}[/tex]

Rewrite 8 as 2³ and 32 as 2⁵:

[tex]\implies (2^3)^{\frac{1}{2}} \div (2^5)^{\frac{1}{4}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 2^{\frac{3}{2}} \div 2^{\frac{5}{4}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]

[tex]\implies 2^{\frac{3}{2}-\frac{5}{4}}[/tex]

[tex]\implies 2^{\frac{6}{4}-\frac{5}{4}}[/tex]

[tex]\implies 2^{\frac{1}{4}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies \sqrt[4]{2}[/tex]