1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___

2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___

3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___

4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___

5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___

I need measurements please to add an answer

Step-by-step explanation:

y=|x| is a vee graph starting at (0,0)

y=|x| - 3 is a vee graph starting (0,-3)

see attachment

Answer:

Five multiplied by a number increased by seven.

Two multiplied by a number increased my three.

Step-by-step explanation:

The 10-year to 3-month term premium will be 0.079%.

Now, According to the question:

The premiums that are the regularly scheduled installments that are finished to pay the inclusion of the insurance contract are less expensive in term life coverage than in real money life coverage as the term just covers the recipients for the period the contract is purchased for instance: a half year. On the off chance that the individual who claims the arrangement passes on in a half year, the insurance agency needs to pay the recipients the capital set in the strategy.

Anyway assuming the individual passes on after the a half year or doesn't bite the dust the insurance agency pay nothing to the buyer of the strategy.

In the money life coverage the individual gets one last installment though the individual lives or passes on as the strategy goes about as a saving arrangement.

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The complete question is:

What is the 10-year to 3-month term premium of the following yield curve?

Answer:

B

Step-by-step explanation

The first piont is (-3,1) and the second is (0,4)

Answer:

The answer is the second one:

oreldered pair (-3,1); y-intercept 4

Step-by-step explanation:

hoped that helped

Answer:

14

Step-by-step explanation:

x / y = 5 / 3, then 3x = 5y , x = 5/3y

we can type 5/3y instead of x ;

5/3y + y = 8/3y = 56, then y = 21

.

now let's find x ;

x - 21 = 56, then x = 35

x - y = 35 - 21 = 14

Step-by-step explanation:

pleases try to understand this the second photo is the first, thanks

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\qquad❖ \: \sf \:x = - \dfrac{ 9}{20} \)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\(\qquad❖ \: \sf \:2(3x + 1) + 3(5x + 2) = x - 1\)

\(\qquad❖ \: \sf \:6x + 2 + 15x + 6 = x - 1\)

\(\qquad❖ \: \sf \:(6x + 15x - x) + (2 + 6 + 1) = 0\)

\(\qquad❖ \: \sf \:20x + 9 = 0\)

\(\qquad❖ \: \sf \:20x = - 9\)

\( \qquad \large \sf {Conclusion} : \)

\(\qquad❖ \: \sf \:x =- \cfrac{ 9}{20} \)

\(\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}\)

Step-by-step explanation:

________________________________

→ 2(3x + 1) + 3(5x + 2) = x – 1

→ 6x + 2 + 15x + 6 = x – 1

→ 21x + 8 = x – 1

→ 21x – x = – 1 – 8

→ 20x = – 9

→ x = –9/20

________________________________

the correct answers are:-(0, 0),(4, 2) point on the graph

What is inverse function ?

An inverse function is a function that reverses the action of another function. In other words, given a function f(x), its inverse function f⁻¹(y) "undoes" the effects of f(x) and returns the original input value x.

To find the inverse function of a given function f(x), we can follow these steps:

Replace f(x) with y.

Swap the roles of x and y, so that we have x = f⁻¹(y).

Solve the equation for f⁻¹(y) in terms of y.

Replace f⁻¹(y) with the notation f⁻¹(x), so that we have the inverse function expressed as f⁻¹(x) = ...

It's important to note that not all functions have an inverse function. A function must be one-to-one, meaning that each output value corresponds to exactly one input value, in order for it to have an inverse function.

To find the points on the graph of the inverse function, we need to switch the coordinates of each point in the original set. That is, we need to make the x-coordinate of each point the y-coordinate and the y-coordinate the x-coordinate. Then we can check which points are in the set of the inverse function.

Doing so, we get the following set of points:

{(9, -3), (1, -1), (0, 0), (4, 2)}

Now we can check which points are in the set of the inverse function:

(1, -1) is not in the set of the inverse function.

(0, 0) is in the set of the inverse function.

(4, 2) is in the set of the inverse function.

(-9, 3) is not in the set of the inverse function.

Therefore, the correct answers are:

(0, 0)

(4, 2)

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Answer:

4(1+7x)

Step-by-step explanation:

There are 2 terms in this expression: Factorize them

4: 2 * 2

28x: 2 * 2 * 7 * \(x\)

Which factors do both of the terms have in common?

2 and 2, which means that the GCF is 4.

Now to figure out whats inside the parentheses.

What number multiplied by 4 gives 4? 1

What number multiplied by 28x gives 4? 7x

So the final result is 4(1+7x)

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i just got some free money off of you kid

Answer:

Yes it is valid

Step-by-step explanation:

A square is a geometric shape which is also known as a Quadrilateral. This means that it has 4 sides.

For a square, it's 4 sides are equal to one another or we can put it in other words as the length of the 4 sides of a square are congruent to one another.

From the above question, we are asked that:

"If a square has a side length of 3, it's area is 9. Is it valid or invalid?"

The above statement is valid. This is because, the formula for the Area of a Square is given as

L × L = L²

Where L = Side length = 3

Area = 3 × 3 = 3²

Area = 9

Therefore, the statement is valid.

Answer:

\(y=x-8\) or \(y+5=x-3\)

Step-by-step explanation:

To write an equation finding the equation of a line you can use y-y1=m(x-x1)

Step 1: Find the slope using slope formula \(\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\)

\(\frac{-9 -(-5)}{-1 -3}=\frac{-4}{-4} =1\)

Step 2: Plug in numbers to Point Slope Form.

\(y-(-5)=1(x-3)=y+5=x-3\)

Step 3: Depending on what your teacher prefers you can also change it into slope-intercept form

\(y=x-8\)

Answer: 16 cm

Step-by-step explanation:

Use ratios to solve:

125 m -> 25 cm

80 m -> x cm

Find the value of x:

x = 80*25/125 = 16

Hope this helps!

The length of the building on the scale drawing is 16 centimeters.

To determine the length of the building on the scale drawing in centimeters, we first need to establish the scale factor. Since the actual height of the building is 125 meters and its representation on the scale drawing is 25 centimeters, we can find the scale factor by dividing the height on the scale drawing by the actual height:

Scale factor = (Height on scale drawing) / (Actual height) = 25 cm / 125 m

As there are 100 centimeters in a meter, we need to convert the actual height to centimeters:

125 m * 100 = 12,500 cm

Now, we can recalculate the scale factor:

Scale factor = 25 cm / 12,500 cm = 1/500

This means that every 1 centimeter on the scale drawing represents 500 centimeters (or 5 meters) in reality. Now that we know the scale factor, we can use it to find the length of the building on the scale drawing:

Length on scale drawing = (Actual length) * (Scale factor) = 80 m * (1/500)

First, convert the actual length to centimeters:

80 m * 100 = 8,000 cm

Now, multiply by the scale factor:

Length on scale drawing = 8,000 cm * (1/500) = 16 cm

So, the length of the building on the scale drawing is 16 centimeters.

In summary, we can use the scale factor to convert between the actual measurements and the measurements on the scale drawing.

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Answer:

The answer and work are in the pdf

Step-by-step explanation:

Answer: A. The majority of the math scores are greater than the median of the science scores

Step-by-step explanation:

I took the test!

The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Using the remainder theorem, when f(x) = 2x² - 7x + 7 is divided by x - 2 the remainder is 1

The remainder theorem states that if a polynomial f(x) is divided by a linear factor x - a, then the remainder is f(a).

Given the polynomial f(x) = 2x² - 7x + 7, we desire to find the remainder when f(x) is divided by x - 2. We proceed as follows.

Using the remainder theorem, since  the polynomial f(x) = 2x² - 7x + 7 and we want to divide it by x - 2, then the remainder is when x = 2. That is f(2).

So, substituting the value of x = 2 into the equation, we have that

f(x) = 2x² - 7x + 7

f(2) = 2(2)² - 7(2) + 7

f(2) = 2(4) - 14 + 7

f(2) = 8 - 14 + 7

f(2) = 8 - 7

f(2) = 1

So, the remainder is 1

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Answer:

The probability that the two cards drawn form a pair is approximately 0.045.

Explanation:

There are 52 cards in an ordinary deck, and each card has a unique rank (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, or king) and suit (spades, hearts, diamonds, or clubs). There are 13 ranks and 4 suits, so there are 13*4 = 52 possible cards in the deck.

When we draw two cards without replacement, there are 52 ways to draw the first card and 51 ways to draw the second card, for a total of 5251 = 2652 possible outcomes. Of these, there are 4 ways to draw a pair of cards with the same rank (for example, 2 of spades and 2 of hearts) and 13 ranks to choose from, so there are 413 = 52 pairs in the deck. Therefore, the probability of drawing a pair is 52/2652 = 1/51, or approximately 0.0196.

Alternatively, we can calculate the probability by considering the complement of the event (that is, the probability of not drawing a pair). There are 48 non-pair cards in the deck (since there are 52 total cards and 4 pairs), and there are 48*47 = 2256 ways to draw two non-pair cards. Therefore, the probability of not drawing a pair is 2256/2652 = 48/51, or approximately 0.931. The probability of drawing a pair is then 1 - 0.931 = 0.069, or approximately 0.045.

Either way, we can see that the probability of drawing a pair is relatively low, at about 4.5%.

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

$29.05

Step-by-step explanation:

First, you have to multiply $19.95 by 2 since he bought 2 shirts that were the same price. 19.95 times 2 is a total of $39.90. It says that he saved $9.10 on both shirts so, in order to see the original price of the shirts, you would have to multiply $9.10 times 2 which is $18.20. Now you need to add 39.90 to 18.20 which is $58.10. You just need to divide that by 2 which will give you $29.05.  Each shirt's orignial price was $29.05

Hope that helps you out :D

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

y + 1 = - \(\frac{2}{7}\) (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = \(\frac{-3+1}{3+4}\) = \(\frac{-2}{7}\) = - \(\frac{2}{7}\)

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - \(\frac{2}{7}\) ( x - (- 4) ) , that is

y + 1 = - \(\frac{2}{7}\)(x + 4) ← equation of line

The function that would be needed for the team of dodgeball players to choose a co - captain and a captain would be a permutation.

The techniques used to determine how many outcomes are conceivable in certain circumstances are permutation and combination. Combinations and permutations are referred to as selections and arrangements, respectively. The sum rules and product rules, which are based on the basic concept of counting, make counting simple to use.

When an order or sequence of arrangement is required, permutations are used. There is an order that needs to be used here and that order is that a captain is picked to have more authority than a captain.

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The full question is:

Permutation, combination, or neither? A team of 9 dodgeball players needs to choose a co-captain and captain.

-10 is the correct answer.

Answer:

D. -10

I have to make this more the 20 characters...

Using linear function concepts, it is found that:

A linear function is modeled by:

y = mx + b

In which:

For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:

mF = 1/4 = 0.25 miles per minute.

The constant speed of Fast Freddy is of 0.25 miles per minute.

For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:

mS = 2/16 = 1/8 = 0.125 miles per minute.

The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

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Answer:

1/4 1/8 and Freddy was faster

Step-by-step explanation:

Answer:

1) not

2) QE

3) QE

4) QE

5) QE

6) QE

7) QE

8) not

9) QE

10) not

hope this helps you!

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, the exact decimal or simplified fraction solution is \(\frac{7}{20}\).

To solve the expression \(\frac{79}{40}\) - 162.5%, we first need to convert the percentage to a decimal.
To convert a percentage to a decimal, we divide it by 100.

So, 162.5% becomes \(\frac{162.5}{100}\) = 1.625.
Now, we can rewrite the expression as \(\frac{79}{40}\) - 1.625.
To subtract fractions, we need a common denominator.

In this case, the least common multiple (LCM) of 40 and 1 is 40.

So, we need to rewrite both fractions with the denominator of 40.
For the first fraction, \(\frac{79}{40}\), we can multiply both the numerator and denominator by 1 to keep it the same.
For the second fraction, 1.625, we can multiply both the numerator and denominator by 40 to get \(\frac{65}{40}\)
Now we can subtract the fractions:

\(\frac{79}{40} - \frac{65}{40} = \frac{79-65}{40}\)

= \(\frac{14}{40}\)
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\(\frac{79}{40} - 162.5\%\) is equal to \(\frac{7}{20}\) or \(0.35\) as a decimal. To solve the expression \(\frac{79}{40}-162.5\%\), we have to follow some step.

Steps to solve the expression:

1. Convert the percentage to a decimal: \(162.5\% = \frac{162.5}{100} = 1.625\)

2. Now, we have \(\frac{79}{40}-1.625\).

3. In order to subtract fractions, we need a common denominator. The least common denominator (LCD) for 40 and 1 is 40.

4. Rewrite the fractions with the common denominator:

    \(\frac{79}{40}-1.625 =\frac{79}{40}- (1.625 * \frac{40}{40})\)

                     \(= \frac{79}{40}  - \frac{65}{40}\)

5. Subtract the fractions:

    \(\frac{79}{40} - \frac{65}{40} = \frac{79-65}{40}\)
                    \(= \frac{14}{40} \)

6. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case:

    \( \frac{14}{40} = \frac{(\frac{14}{2})}{(\frac{40}{2})}\)

        \(= \frac{7}{20}\)

Therefore, the simplified answer to \(\frac{79}{40}-162.5\%\) is \(\frac{7}{20}\) or \(0.35\) as a decimal.

In conclusion, \(\frac{79}{40}-162.5\%\) is equal to \(\frac{7}{20}\) or \(0.35\) as a decimal.

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The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are given below.

6/3 and 2

2 and 2

Then the multiplication of the numbers 2 and 2 is given as,

⇒ 2 x 2

⇒ 4

Then the division of the numbers 2 and 2 is given as,

⇒ 2 / 2

⇒ 1

The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.

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Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Then you have 12x + 6 = 6x + 24,

Continue to solve

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!