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Answer:

y = 3x +1

Step-by-step explanation:

take the coordinates ( 1,4)(2,7)

find the gradient which is =3

y = 3x + c

replace any two coordinates in the equation

4 = 3(1) + c

c = 1

y = 3x + 1

_____________________________

Hey!!

Solution,

X=5

Now,

y=x^2+2x

=(5)^2+2*5

=25+10

= 35

So the value of y is 35

hope it helps

Good luck on your assignment

___________________________

For the given equation  y = x² + 2x, the value of y when x = 5 is, 35

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An equation, y = x² + 2x

The value of y when x is equal to 5 = ?

after putting value of x in a equation

⇒ y = 5² + 2 × 5

⇒ y = 25 + 10

⇒ y = 35

Hence, the value of y is 35

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answers:

==========================================

Explanation:

The multiplication of the mixed number 3 1/4 by 3 has a result given as follows:

9 and three-fourths.

A mixed number is modeled as follows:

a b/c.

In which the integer and the fractional parts are given as follows:

To apply multiplication involving mixed numbers, we convert these numbers to fractions, as follows:

a b/c = (ac + b)/c

In this problem, the mixed number is given as follows:

3 1/4.

Hence the fraction is given as follows:

(3 x 4 + 1)/4 = 13/4

The multiplication by 3 is given as follows:

3 x 13/4 = 39/4.

The division of 39 by 4 has a quotient of 9 and a remainder of 3, hence the mixed number that represents the division is:

9 and three-fourths.

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As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

no they are not

Step-by-step explanation:

9:7 / 2:1 = 4.61904762

Answer:

9:7 and 2:1 should not be equivalent.

Step-by-step explanation:

Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.

9:7 = \(\frac{9}{7}\)

2:1 = \(\frac{2}{1}\) = 2

As shown above, they do not equal the same thing, this also goes for their decimal form and so on.

Answer:  2,175 divided by 12 will give you 181.25.

Answer:

(x+5)(x-4)(x-3)

Step-by-step explanation:

Divide (e+5) into e³-2e²-23e+60 using polynomial long division (picture attached below). Since it divides in evenly, we can see it is a factor.

So we can say e³-2e²-23e+60 = (e+5)(e²-7e+12)

To complete the factorisation, factorise e²-7e+12.

Note that (x+a)(x+b)=x²+(a+b)x+ab.  So find the multiples or 12 which can be added or subtracted to get -7: -4 and -3.

e²-7e+12=(x-4)(x-3)

So e³-2e²-23e+60 = (x+5)(x-4)(x-3)

Answer:

- sinu

Step-by-step explanation:

using the difference identity for sine

sin(a - b) = sinacosb - cosasinb

then

sin(u - π )

= sinucosπ - cosusinπ

= sinu(- 1) - cosu(0)

= - sinu - 0

= - sinu

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Step-by-step explanation:

To calculate the probability of getting at least four hearts when dealing five cards from a standard deck, we can use the concept of combinations and probability.

There are a total of 52 cards in a standard deck, and 13 of them are hearts (assuming no jokers). So the probability of drawing a heart on the first card is 13/52, or 1/4.

Now, there are two possible scenarios that would result in at least four hearts:

Four hearts and one non-heart: This can happen in C(13,4) * C(39,1) ways, where C(n, k) is the number of combinations of n items taken k at a time. The first part C(13,4) represents choosing 4 hearts out of 13, and the second part C(39,1) represents choosing 1 non-heart out of the remaining 39 cards. The total number of ways to choose 5 cards from 52 is C(52,5).

Five hearts: This can happen in C(13,5) ways, where C(13,5) represents choosing all 5 hearts out of 13.

So, the total number of favorable outcomes is C(13,4) * C(39,1) + C(13,5), and the total number of possible outcomes is C(52,5). Therefore, the probability of getting at least four hearts is:

P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)

Plugging in the values and simplifying, we get:

P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)

= (715 * 39 + 1287) / 2,598,960

= 27,885 / 2,598,960

≈ 0.0107566

So, the probability of getting at least four hearts when dealing five cards from a standard deck is approximately 0.0107566 or about 1.08%.

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer: -8    word form negative 8 over 21

              21

Step-by-step explanation: Cross multiply like this

3          1

8           7

do 3x7 and 1x8 then put both answers together like this->  - 8

                                                                                                   21

the answer would be -8 over 21 since you cross multiplied and its a negative fraction you add the negative sign.

Answer:

hi

Step-by-step explanation:

Answer:

you multiple what April has

Answer:

The answer is 17 packets

Answer:

17 or 17.25

Step-by-step explanation:

20 oz is 69 grams divided by 4 and its 17

Answer:

The answer is 72.49

Step-by-step explanation:

Answer:

Gary had $75.49 to begin with.

Step-by-step explanation:

63 + 12.49 = 75.49

Gary spent $63 on bananas and after buying them he had $12.49, therefor you would add his remaining $12.49 to the $63 he spent in order to get the amount of money he had before buying the bananas.

Answer:

The answer is A: mode

Step-by-step explanation:

The mode is what data occurs the most. The more popular data would occur more

By using the fact that the sum of the internal angles must be 180°, we will see that b = 119°

Here we need to use the fact that the sum of all the internal angles of a triangle is always equal to 180°.

Here the internal angles are 30°, 31° and b, then we can write the linear equation:

30° + 31° + b = 180°

Solving this for b, we will get:

b = 180° - 30° - 31°

b = 119°

That is the value of b.

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The hours when the prices of the two stocks be the same is 2.38 hours.

From the information, the price of Stock A at 9 A.M. was $12.42 and the price has been increasing at the rate of $0.12 each hour. This will be the expressed as 12.42 + 0.12h.

At noon the price of Stock B was $12.92. It begins to decrease at the rate of $0.09 each hour. This will be:

= 12.92 - 0.09h

where h = number of hours

Equate both equations. This will be:

12.42 + 0.12h = 12.92 - 0.09h

Collect like terms

12.92 - 12.42 = 0.12h + 0.09h

0.21h = 0.50

h = 0.50 / 0.21

h = 2.38 hours.

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Answer: B

Step-by-step explanation: Hope this helps:)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

The first option being 12/25

im only in 6th grade

Step-by-step explanation:

The area with Perimeter= 60 2/4 and  Width= 12 1/4 is mathematically given as

A=36

Question Parameters:

Perimeter= 60 2/4

Width W= 12 1/4

Generally, the equation for the Area  is mathematically given as

A=L*W

Where

P=2L+2W

Hence

60( 2/4)=2L+2( 12( 1/4))

L=12* 12 1/4

Therefore

A=12*W

A=36

In conclusion.  the area. with Perimeter= 60 2/4 and  W= 12 1/4

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Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

a) the estimated yearly increase in the average atmospheric concentration of carbon dioxide is 1.8 ppm.

b) C = 1.8x + 310 This equation represents the mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in ppm, x years after 1950.

c) if the trend shown by the data continues, the projected average atmospheric concentration of carbon dioxide in the year 2030 would be approximately 454 ppm.

a. To estimate the yearly increase in the average atmospheric concentration of carbon dioxide, we can look at the difference between consecutive data points.

From 1950 to 2000, the concentration increased from 310 ppm to 400 ppm. So, in 50 years, the increase was 400 ppm - 310 ppm = 90 ppm.

To find the yearly increase, we divide this by the number of years: 90 ppm / 50 years = 1.8 ppm per year.

Therefore, the estimated yearly increase in the average atmospheric concentration of carbon dioxide is 1.8 ppm.

b. To write a mathematical model that estimates the average atmospheric concentration of carbon dioxide in parts per million (ppm), x years after 1950, we can use a linear equation.

Let C represent the average atmospheric concentration of carbon dioxide in ppm, and x represent the number of years after 1950.

Based on the given data, we can assume a linear relationship between time (x) and carbon dioxide concentration (C). We'll use the point-slope form of a linear equation:

C - 310 = m(x - 0)

Where 310 is the concentration in 1950, and the slope m represents the yearly increase in ppm.

Using the yearly increase we estimated in part a (1.8 ppm per year), the equation becomes:

C - 310 = 1.8x

Simplifying, we find:

C = 1.8x + 310

This equation represents the mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in ppm, x years after 1950.

c. To project the average atmospheric concentration of carbon dioxide in the future, we can use our mathematical model from part b.

Assuming the trend shown by the data continues, we can substitute the desired year into the equation C = 1.8x + 310, where x represents the number of years after 1950.

For example, if we want to project the concentration in the year 2030 (80 years after 1950), we substitute x = 80 into the equation:

C = 1.8(80) + 310

C = 144 + 310

C = 454

Therefore, if the trend shown by the data continues, the projected average atmospheric concentration of carbon dioxide in the year 2030 would be approximately 454 ppm.

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