Hello! I need some help with this homework question, please? The question is posted in the image below. Q4

We have the expression:

We solve as follows:

If we want to simplify further, we will get:

***

In order to simplify the expression:

We multiply 2 times x and add 2 times -4, that is:

Now, we multiply 2 times -4 in both sides, that is:

Create a polynomial of degree 6 that has no real roots.

y = ( x^2 + 4) ( x^2 +7 ) ( x^2+5)

Multiplying all the terms together

y =x ^6 + 16 x^4 + 83 x^2 + 140

Using the zero product property

0= x^2 +4 x^2+7 =0 x^2 + 5 =0 will each give a complex solution

x^2 = -4 x^2 = -7 x^2 = -5

This means x = 2i or -2i x = i sqrt(7) or -i sqrt(7) x = i sqrt (5) or - i sqrt(5)

These solutions can be in the form a+bi

Therefor it will have no real roots

y = x^6 + 16 x^4 + 83 x^2 + 140 has no real solutions

Complex solutions come in pairs, so an odd degree must have a real solution

hello

the car travels 273 miles in 6 hours, how many hours will it take to travel 378 miles.

let the number of unknown hours be represented by x

the car spent approximately 8.31 hours to travel a distance of 378 miles

the given expression is

-14 + (-8/9)

so,

so the answer is -14 8/9 or -134/9

Using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

So, in the image, we can observe that the large box contains 6 boxes of cereals in front and possibly 8 boxes of cereals at the back.

Then, the volume of the larger box can be:

Therefore, using mathematical operations, we can conclude that the volume of the larger box is approximately 2,800 in³.

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Answer:

0.6

Step-by-step explanation:

Given:

6%

To convert the given percent into simplified fraction, we first divide it by 100 as shown below:

Therefore, the answer is:

Z- Score formula is:

Here, the mean is 86, while the standard deviation is 2.2

Percent between 83.8 and 92.6 is;

Percent score below 83.8 is 0.15866

2x^2 + 14x + 24 = 0

x^2 + 7x + 12 = 0

Then

x^ + (14/2) x + 12 + [7x + 49 ] = 7x + 49

Now form square

[ x + 7x + 7x + 49 ] = 7x + 49 - 12

[ x + 7]^2 = 7x + 37

Then now find x

x^2 + 7x = -6

x^2 + 7x + 7^2/4 = 7^2/4 - 6

then

( x + 7/2)^2 = 49/4 - 24/4

(x + 7/2) = ±√ (25/4)

. x = 5/2 - 7/2

and. x = 5/2 + 7/2

Then solutions are

x = -2

x= -12

ANSWER IS

OPTION A

Canada has a coastline if 202,080km and China has 22,147 of borders, so the difference between them can be writen like this:

And we can made this operation so the answer is:

This means that the coastline of canada is 179,933 longer than the border of china

Th equation of a parabola in its vertex form is;

y = a(x-h)² + k

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

(h, k) = (10, 9)

substitute the above into the equation

y = a(x- 10)² + 9 -------------------(1)

Next is to find the value of a

substitute x=12 and y= -7 into equation (1)

-7 = a (12 - 10)² + 9

-7 - 9 = 4a

-16 = 4a

a = -4

The equation of the parabola will be formed by substituting a = -4 in equation (1)

y = -4(x - 10)² + 9

Given:

There are given that the 2 people running for treasure, 3 people running for secretary, 4 running for vice president, and 2 people running for class president.

Explanation:

According to the concept of outcomes:

The outcomes are defined for the possible results of an experiment.

Then,

In the given question, the outcomes are:

Final answer:

Hence, the total number of outcomes is 11.

The value of the composite function is as follows:

The composite function can be solved as follows:

Composite functions are when the output of one function is used as the input of another.

In other words, a composite function is a function that depends on another function.

f(x) = x² - 6x + 2

g(x) = -2x

Therefore,

(gof)(5) =  g(f(5))

So we need to find g(f(x)) first.

Therefore,

g(f(x)) = -2(x² - 6x + 2)

g(f(x)) = - 2x² + 12x - 4

Therefore,

g(f(x)) = - 2x² + 12x - 4

(gof)(5) =  g(f(5)) = - 2(5)² + 12(5) - 4

(gof)(5) =  g(f(5)) = -50 + 60 - 4

(gof)(5) =  g(f(5)) = 6

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The interest that Harold pay is $768.75 and his maturity value is $17168.75.

Harold Hill borrowed $16,400

Harold must repay the loan at the end of 15 months in one payment with 3 3/4 % of interest

First we need to calculate the interest amount

=  loan amount x rate of interest x number of months

interest = (16400 x 3 3/4 x 15/12)/100

interest = $768.75

The maturity value = loan amount + interest

= 16400 + 768.75

= 17168.75

Therefore, the interest that Harold pay is $768.75 and his maturity value is $17168.75.

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We know that

• 1 cubic foot holds 7.48 gallons of water.

• 1 gallon of water weighs 8.33 pounds.

The given information is about ratios that we must use to find the answer. Remember that a ratio is a quotient between two magnitudes, that means each statement above represents a fraction which must multiply "6 cubic feet" in order to get the answer. As follows

Therefore, 6 cubic feet weighs 373.85 pounds.

On the other hand, 1 ton is equivalent to 2000 pounds. Knowing this, we calculate

Therefore, 6 cubic feet weighs about 0.19 tons.

Answer:

C. 930 square centimeters

Explanation:

First, recall the standard conversion between cm and ft.

Therefore:

The correct choice is C.

Let

x ----> rate of the boat in still water (mph)

y ---> rate of the current (mph)

Remember that

The speed is equal to dividing distance by the time

speed=d/t

d=speed*time

so

Upstream

speed=x-y

time=5 hours

100=(x-y)*5

x-y=20 --------> equation 1

Downstream

speed=x+y

time=4.5 h

100=(x+y)*4.5

x+y= 100/4.5 --------> equation 2

Adds equation 1 and equation 2

x-y=20

x+y= 100/4.5

-----------------

2x=20+(100/4.5)

2x=190/4.5

x=190/9

x=21.11 mph

therefore

Total fee = $75

Number of months = 3

Divide the total fee by the number of months

75/3 = $25 per month

Question:

Solution:

Remember that the total area surface of the cylinders is given by the formula:

where r is the radius of the cylinder and h is its height. Now, in this case, we have that r= 10 m and h = 5m, then replacing these values in the previous equation we obtain:

then, we can conclude that the correct answer is:

Answer: Area = 120 cm^2

Explanation:

The formula for calculating the area of a parallelogram is expressed as

Area = base x height

From the information given,

base = 15

height = 8

Area = 15 x 8

Area = 120 cm^2

For two statements p and q, and the compounded statement "If p, then q", we have the following definitions for the inverse, converse, and contrapositive of this compounded statement:

inverse: If not p, then not q.

converse: If q, then p.

contrapositive: If not q, then not p.

So, for the presented statement, i. e., "If you will be driving, then you should not take this medicine" we have:

p: you will be driving

q: you should not take this medicine

Notice that:

not p: you will not be driving

not q: you may take this medicine

Then, using the above definitions, we write:

inverse: If you will not be driving, then you may take this medicine.

converse: If you should not take this medicine, then you will drive.

contrapositive: If you may take this medicine, then you will not be driving.

Given:

Amount of takis bought = 2⅔ pounds

Amount the plastic bag can carry = 1/8 pounds

First convert 2⅔ to a simple fraction:

2⅔ = 8/3

To find the amount of bags Omoro can fill completely, we have to divide the amount of takis bought by the amount of takis the plastic bag can carry:

(8/3) ÷ (1/8)

Therefore, Omoro can fill approximately 21 bags completely

ANSWER:

21 bags

n²+1 where n is the position of the sequence

1) Considering the sequence (2,5,10,17,26,...) corresponding to 1,2,3,4,5,...

Let's figure out how that sequence grows:

5 -2 = 3

10 -5 = 5

17-10= 7

26-17= 9

And examining the differences from each difference we have:

5-3 =2

7-5 = 2

9-7 =2

2) So we can write the following table, where the first line is the sequence, then the positions, then the subtraction between them.

As it is a quadratic formula, we can write in the general form and then plug x=0

3) Hence, to find the 6th term, for instance, we plug n=6 so

6²+1 = 31. So the formula to find the nth term is n² +1

3) Finally, the sequence is given by n² +1 where n is the position of the term.

See graph below

The given inequalities:

To plot the graphs, we will assing values to x in order to get the corresponding values of y for each of the inequality:

let x = 0, 2, 4

x + y = 4

from the above: y = 4 - x

when x = 0

y = 4

when x = 2

y = 4 - 2 = 2

when x = 4

y = 4 -4 = 0

we only have x in the second inequality

we will have a vertical line for x = 2

But the shading will be towards the right because the inequality is greater than x

plotting the graph:

The solution of the inequalities is the point of intersection of both graphs (the darker shade)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the angles of the hexagon

The internal angles of an hexagon is given as:

Therefore each angle of the hexagon is 120 degrees.

STEP 2: find the length of the sides

We remove the right triangles as seen below:

Using the special right triangles, we have:

STEP 3: find the area of the extracted triangle above

Since there are two right triangles, we multiply the area by 2 to have:

There are two triangles(both sides), therefore the total area of the shaded area will be:

STEP 4: Find the area of the whole hexagon

STEP 5: Find the probability

Hence, the probability that the dart hits one of the shaded areas is approximately 0.3333

The first step to finding the equation of the line in the slope-intercept form is to find the slope.

So, to find the slope we can use the following equation:

Where (x1, y1) and (x2, y2) are points of the line.

Therefore, if we replace (x1, y1) by (5, -4) and (x2, y2) by (-1, 8), we get that the first step is to calculated:

y2 - y1 = 8 - (-4) = 8 + 4 = 12

x2 - x1 = -1 - 5 = -6

Answer: Calculate 8 - ( - 4 ) = 12

Calculate - 1 - 5 = -6

Answer: (- 4, - 7)

Explanation:

The given equations are

y = 5x + 13

y = 2x + 1

We would equate both equations. We have

5x + 13 = 2x + 1

5x - 2x = 1 - 13

3x = - 12

x = - 12/3

x = - 4

Substituting x = - 4 into y = 2x + 1, we have

y = 2(- 4) + 1 = - 8 + 1

y = - 7

The solution is

(- 4, - 7)

Answer:

Step-by-step explanation: