Please see image attached. I am not able to solve, even after using the formula

ANSWER

Quadrant II

EXPLANATION

There are four (4) quadrants on the coordinate plane:

Let us now plot the point:

Therefore, the point (-1, 9) lies on quadrant II.

If

That would imply that 9 is a common multiple of 4 and 5, which is false since 9=3^2.

Additionally, 3/4 is greater than 4/9; so 3/4+1/5 has to be greater than 4/9.

hello

to know what type of sequence they are, we need to test either for common difference of common ratio

first sequence

(98.3, 94.1, 89.9)

first term = 98.3

in this case there's a common difference here

we can find that by subtracting the second term from the first term or the third term from the second term

first sequence is an arithmetic progression

second sequence

(1, 0, -1, 0)

first term = 1

common difference or common ratio does not exist here

third sequence

(1.75, 3.5, 7, 14)

first term = 1.75

in this case, there's no common difference but rather common ratio

common ratio (r) can be found by dividing the second term by the first term or the third term by the second term

the common ratio here is 2 and this is a geometric progression

fourth sequence

(-12, -10.8, -9.8, -8.4)

first term = -12

in this sequence, there's no common difference or common ratio

fifth sequence

(-1, 1, -1, 1)

the fifth sequence is neither a geometric or artimethic progression because there no common difference or ratio

Answer:

x = 1.44

Step-by-step explanation:

Multiply both sides by 4 to get rid of the denominator on the LHS(Left hand Side) of the equation and you get x

(x/4) x 4 = 1.8/5 x 4

x = 1.44

Answer:

Choice D: 3 terms

Explanation:

The term of a expressions constant or a variable of an equation, The variable

Answer

The simplified fraction is 2 1/2

Step-by-step explanation:

Answer:

Colin bought 7 7/8 boxes

Step-by-step explanation:

Let R represent  the number of boxes bought by Ryan and A represent the number of boxes bought by Allan

R = 3 1/2

Convert to improper fraction:
3 1/2 = (3 x 2 + 1)/2 = 7/2

Allan bought 1 3/4 more boxes than Ryan

A = R + 1 3/4

Convert 1 3/4 to improper fraction:
1 3/4  7/4

So A = 7/2 + 7/4 = 14/4 + 7/4 = 21/4

Colin bought 1 1/2 times as many boxes as Allan
C = 1 1/2 x A

Convert 1 1/2 to improper fraction:

1 1/2 = 3/2

So C = 3/2 x 21/4

= 63/8 = 7 7/8 boxes

Given the data set:

5, 4, 3, 5, 4, 2, 4, 1, 5, 4, 6, 1, 4, 5, 2, 3

Using the given data set, let's answer the following questions:

• (a). Construct a frequency distribution table.

Let's first arrange the terms in ascending order:

1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6

Here, we can have the following:

1 ==> Occurs twice

2 ==> Occurs twice

3 ==> Occurs twice

4 ==> Occurs 5 times

5 ==> Occurs 4 times

6 ==> Occurs once.

Therefore, for the frequency distribution table, we are to use the number of times each data occur (this is the frequency).

We have the table below:

• Part b.

Let's sketch a histogram of the frequency distribution.

• We have the histogram of the frequency distribution below:

Answer:

13 and 389

Explanation:

Let the two positive integers be x and y

If a positive integer is 38 more than 27 times another, then;

x = 27y+ 38 ...1

If their product is 5057, then;

xy = 5057 .....2

Substitute equation 1 into 2

(27y + 38)y = 5057

Expand the bracket

27y^2 + 38y = 5057

27y^2 + 38y - 5057 = 0

Factorize

27y^2 -351y + 389y - 5057 = 0

27y(y-13) + 389(y-13) =0

(27y+389)(y−13) = 0

27y + 389 = 0 and y - 13 = 0

27y = -389 and y = 13

Since y is a positive integer, hence y = 13

Substiute y = 13 into equation 1;

x = 27y+ 38 ...1

x = 27(13)+ 38

x = 351 + 38

x= 389

Hencethe two positive integers are 13 and 389

Given

The number of fence post is 12.

The dimension of each fence post is 8ft tall and 1ft diameter.

To find: How much paint is needed to paint all the surfaces of the 12 fenceposts.

Explanation:

It is given that,

The number of fence post is 12.

The dimension of each fence post is 8ft tall and 1ft diameter.

Therefore,

The fencepost is cylindrical in shape.

Then, the total surface area of the cylinder is,

That implies,

Hence, the required quantity of paint is 320ft^2.

Solution

- We are given the two functions below:

- We are asked to find u(w(-3)).

- In order to find u(w(-3)), we need to first find u(w(x)) and then we can substitute x = -3.

- Since we have been given u(x), then, it means that we can find u(w) as follows:

- But we have an expression for w in terms of x. This means that we can say:

- Now that we have an expression for u(w(x)), we can proceed to find u(w(-3)) as follows:

Final Answer

The answer is

The required third degree expression is 1/7 (x³ + 2x² - 5x - 6)

Given,

Find a third degree expression f(x) that has zeros -3, -2, 1 and the equation y = f(x)  passes through (4, 10). ,

If the roots/zeroes of a nth  order expression are given as r₁, r₂, r₃....rₙ, the expression is given by f(x) = c(x - r₁) (x - r₂) (x - r₃)....(x - rₙ)

      Since we know the three roots of the third degree expression, the function is;

f(x) = c(x - (-3)) (x - (-2)) (x - 1)

= c(x + 3) (x + 2)  (x - 1)

= c (x³ + 2x² - 5x - 6)

Also y = f(x),  passes through(4, 10) , so

10 = c(4³ + 2 x 4² - 5 x 4 - 6)

10 = c(64 + 32 - 20 - 6)

10 = 70c

c = 10/70 = 1/7

∴Required expression is 1/7 (x³ + 2x² - 5x - 6)

Learn more about third degree expressions here;

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using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

Given

a: angle

a = 60

r: radius

r = 3

Procedure

The length of an arc depends on the radius of a circle and the central angle θ

The answer would be s = pi

The length of the lines GH and CH are 16 units and 12 units.

So, the measure of lines GH and CH:

We know that AC ⊥ GH hence cuts GH in two equal lines.

But,

We can observe that △GCH is an isosceles triangle.

Therefore, the length of the lines GH and CH is 16 units and 12 units.

Know more about lines here:

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24333 years

to solve this we need to use the time formula ,it says

Step 1

a)given

b) now, replace in the formula and calculate

therefore, the answer is

24333 years

I hope this helps you

1) We can fill in the gaps, this way since we can write the following when we translate into mathematical language:

Note that we could do it in two steps. Subtracting and then multiplying and dividing

Answer:

1/4

Step-by-step explanation:

you just look at rise over run from one point to another and simplify.

Given:

A deck of 52 playing cards is given.

Required:

Probability of selecting a number card, a red card and an ace.

Answer:

There are 40 number cards.

Therefore, probability of selecting a number card=

There are 26 red cards.

Therefore, probability of selecting a red card=

The probability of selecting an ace =

Final Answer:

The Probabilities of selecting a number card, a red card and an ace are,

respectively.

Algebraic expressions are compound by algebraic terms that are compound by a signed number or coefficient, one or more variables and one or more exponents.

In the given expression:

There are 2 terms which are 5c^2 and 7d, its coefficients are 5 and 7 respectively and there is not any constant, which are independent terms.

From the given graph, it is seen that f(x) is not defined for x<-4. The function g(x) is not defined for x>2

But the function p(x) represents a straight line which is defined for all real x.

Hence, the function p(x) has all real numbers as its domain.

Thus, the correct option is (D)

Data:

In this case;

x is the amount of money Joe should invest in first account (with 3% simple interest)

y is the amount of monet Joe should invest in second account (with 2% simple interest)

Then, if the mathematical solution for the given system is x=7000 it means that in order to get at least $200 in interest this year Joe needs to invest a bigger amount of money that he has, in the fisrt account ($7000) and in the second account y Joe shoul take a loan of $500 with 2% simple interest

We have two points C(0, 0) and D (0, 12).

P is on the line segment and 3/4 of the distance from C to D.

Answer

Number of possible outcomes for everything = 240 ways

Explanation

The number of possible outcomes can be calculated by taking each of these two groups.

First group contains 2 elements

Number of possible ways to pick the elements = 2! = 2 × 1 = 2 ways

Second group contains 5 elements

Number of possible ways to pick the elements = 5! = 5 × 4 × 3 × 2 × 1 = 120 ways

Number of possible outcomes for everything = 2! × 5! = 2 × 120 = 240 ways

Hope this Helps!!!

A parabola with focus (a, b ) and directrix y = c has the equation

In our case, (a, b) = (2, 7) and c = -1; therefore, the above becomes

which is our answer!

the sum of all the angles in a rectangle is 360°

Answer

63

Explanation

Given the product 9 * 7/8

We are to find the number of one eighths that are in the product

Finding the product;

= 9 * 7/8

= (9*7)/8

= 63/8

= 63 * 1/8

= 63 * one-eighth

This shows that there are 63 one eighth in the product

Answer

Vertex = (-2, -1)

Axis of symmetry: x = -2

The graph of the function is presented below

Explanation

The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.

The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.

To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.

(df/dx) = 0

f(x) = (x + 2)² - 1

f(x) = x² + 4x + 4 - 1

f(x) = x² + 4x + 3

At the vertex, (df/dx) = 0

(df/dx) = 2x + 4

2x + 4 = 0

2x = -4

Divide both sides by 2

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

x = -2

We can then obtain the corresponding y-coordinate of the vertex

f(x) = (x + 2)² - 1

f(-2) = (-2 + 2)² - 1

f(-2) = 0² - 1

f(-2) = -1

So, the vertex is given as

Vertex = (-2, -1)

Although, one can obtain the vertex from the form in which that equation is given, the general form is that

f(x) = (x - x₁)² + y₁

Comparing that with

f(x) = (x + 2)² - 1

we see that,

x₁ = -2, y₁ = -1

So, Vertex: (-2, -1)

Then, the axis of symmetry will be at the point of the vertex.

Axis of symmetry: x = -2

And for the graph, we just need to obtain a couple of points on the line to sketch that.

when x = 0

f(x) = (x + 2)² - 1

f(0) = (0 + 2)² - 1

f(0) = 4 - 1 = 3

(0, 3)

when y = 0

x = -3 and x = -1

So,

(-3, 0) and (-1, 0)

(-2, -1), (0, 3), (-3, 0) and (-1, 0)

So, with these points, we can sketch the graph.

The graph of this function is presented under answer above.

Hope this Helps!!!

- To determine the perimeter of the base, consider that the length is 5 in and the width is the same as the width of the top face of the prism, that is, 2 in. Then, the perimeters is:

P = 2l + 2w

w = 2 in

l = 5 in

P = 2(5 in) + 2(2 in)

P = 10 in + 4 in

P = 14 in

- The height of the doorstop is 1.2 in

- The area of the base is:

A = wl

A = (2 in)(5 in)

A = 10 in²

To get the equation of the line graph, first, we have to find its slope. The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

From the picture, the line passes through the points (0,0) and (10, 1), then its slope is:

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

From the graph, the line intersects the y-axis at y = 0, this means that b = into

the equation. Therefore, the equation is:

y = 1/10x

where x is distance (in inches) and y is time (in minutes).

To find how long it takes the snail to crawl 86 inches, we have to replace x = 86 into te equation as follows:

The snail takes 8.6 minutes to crawl 86 inches