The fraction models below represent two fractions of the same whole: How much of the8음을16

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

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

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.

the given expression is

-14 + (-8/9)

so,

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

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

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

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:

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.

To learn more about interest refer here

https://brainly.com/question/20690803

#SPJ1

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

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.

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)

Sara, this is the solution:

∛ 120a^4b^5c

Lets solve factor by factor:

∛ 120 = ∛ 8 * 15 = 2∛ 15

∛a^4 = a^4/3

∛b^5 = b^5/3

∛c (We can't simplify this factor)

In consequence, we have:

2a^(4/3) b^(5/3)∛ 15c

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)

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

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

Answer:

0.6

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

1st one

You have one input (x) with more than one output (y)

(-9, -9)  and (-9, 6)

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.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ13

Answer:

C. 930 square centimeters

Explanation:

First, recall the standard conversion between cm and ft.

Therefore:

The correct choice is C.

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.

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.

Total fee = $75

Number of months = 3

Divide the total fee by the number of months

75/3 = $25 per month

Assume the height of the box is x.

5 reams of paper have 5 x 500 = 2500 sheets of paper.

This means that each sheet of paper has a thickness of x/2500.

Two sheets of paper have a thickness of 2 times x/2500.

Simplifying the fraction:

Two sheets of paper have a thickness of 1/1250th of the height of the box.

Assume the height is x = 20 cm, then two sheets are 20/1250 = 0.016 cm thick.

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

Given:

6%

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

Therefore, the answer is:

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 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

learn more on composite function here: https://brainly.com/question/24464747

#SPJ1

Answer:

Step-by-step explanation: