Question 1
What is the slope of the line that passes through the points
(-9, 8) and (-3,-1)?

The Coefficient of x^2  in algebraic Expression 2x^4 + x^2 -x +7 will be 1.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Given algebraic  Expression is :

2x^4 + x^2 -x +7

Now,

The coefficient is the constant term multiplied with the variable.

Therefore, here the Coefficient of of x^2 will be 1.

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The function f(x) = cos x crosses the x-axis at x₁ = - 0.5π and x₂ = - 1.5π.

Cosine function is a function bounded between - 1 and 1 and whose period is 2π, all the values of x such that the cosine function crosses the x-axis is described by the following expression:

cos x = 0        (1)

Then, by inverse trigonometric functions:

x = cos⁻¹ 0

x = 0.5π ± π · i, where i is a non-negative integer.

If we know that i = 1 and i = 2, then the values of x within the interval [- 2π, 0] are, respectively:

x₁ = - 0.5π, x₂ = - 1.5π

The function f(x) = cos x crosses the x-axis at x₁ = - 0.5π and x₂ = - 1.5π.

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Answer:  (3, 3), (3, 9), (-6, 9), (-6, 3)

Step-by-step explanation:

With a dilation of 3 centered about the origin-

the point (1, 1) would go to (3, 3)

the point (1, 3) would go to (3, 9)

the point (-2, 3) would go to (-6, 9)

the point (-2, 1) would go to (-6, 3)

simply multiply the original coordinates all by 3.

Answer:

all the correct answers are the correct answers of

Step-by-step explanation:

step by step explanation no needed because answer already answered okay there answer needed.

Sales of Statin on January 1, 2008 was 22.2 billion dollars; and the year that the Statin sales reached 25.6 billion dollars was in 2010.

Given:

S = 1.7 x + 5.2 .............................. (1)

Sales of statin on January 1, 2008 can be calculated as follows:

x = 2008 - 1998 = 10

Substituting x = 10 into equation (1), we have:

S = (1.7 * 10) + 5.2

S = 17 + 5.2

S = 22.2

The answer above implies that sales of Statin on January 1, 2008 was 22.2 billion dollars.

The year that the Statin sales reached 25.6 billion dollars can be calculated as follows:

S = 25.6

Substituting S = 25.6 into equation (1) and solving for x, we have:

25.6 = 1.7x + 5.2

25.6 - 5.2 = 1.7x

20.4  = 1.7x

x = 20.4 / 1.7

x = 12

Therefore, we have:

The year Statin sales reached 25.6 billion = 1998 + x = 1998 + 12 = 2010

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The sales of Statin on January 1, 2008 is 22.2 billion dollars and the year statin sales reached 25.6 billion was in 2010

Linear functions are equations that has a leading degree of 1.

Given the expression that represents amount of sales, S , of statin (in billions of dollars) x years after January 1, 1998 as;

S = 1.7 x + 5.2

For the sales of statin on January 1, 2008, this is calculated as

x = 2008 - 1998 = 10years

Substitute x = 10 into the given equation to have;

S = 1.7(10) + 5.2

S = 17 + 5.2

S = 22.2

Therefore the sales of Statin on January 1, 2008 is 22.2 billion dollars.

For the year that the Statin sales reached 25.6 billion dollar;

S(x) = 25.6

Substituting S = 25.6 into the equation

25.6 = 1.7x + 5.2

1.7x = 25.6 - 5.2

1.7x = 20.4

x = 12

Hence the year statin sales reached 25.6 billion was in 2010

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Answer: The expression would look like this p/9 (2)

Step-by-step explanation: You should make it a fraction by putting the p on top and 9 on bottom and in parentheses you put in the 2!

Hope this helped! :D

Answer:

x = 2.7

Step-by-step explanation:

8/2.4 = 9/x

Cross multiply.

8x = 2.4 × 9

8x = 21.6

8x/8 = 21.6/8

x = 2.7

Answer:C=3.54

Step-by-step explanation:

Answer:

14/16 or 7/8.

Step-by-step explanation:

We know the total champions is 30. There are 16 boys, so to find the number of girls we can do 30-16. This gives us 14. Now we know that there are 16 boys and 14 girls, and the question is asking for the ratio of champions who are girls to the number who are boys. This means the ratio would simply be 14 to 16, for every 14 girls there are 16 boys. You can simply this ratio to 7 to 8, meaning for every 7 girls there are 8 boys.

Answer:

Step-by-step explanation:

A): 2013 = 149.32

Find difference of: 194.31

2014 = 194.31 149.32

= 44.99

2015 Total Will Be:

B):

149.32 + 25 = 174.32

(2013)

(B) (A)

The simplified radical form of the equation [tex](x^{4})^{\frac{5}{6} }[/tex] is [tex]x^{\frac{10}{3} }[/tex]

The exponentiation is written as [tex]a^{n}[/tex], where a is the base and n is the exponent or power. We say as "a by n". Exponent means the number of times the base is used as a factor.

The expression = [tex](x^{4})^{\frac{5}{6} }[/tex]

Here we have to apply the exponent rule

We know,

The power rules for the exponent [tex](a^{m})^{n}=a^{mn}[/tex]

Here multiply the exponent times the power.

Simplify it

[tex](x^{4})^{\frac{5}{6} }=(x)^{4(\frac{5}{6}) }[/tex]

=[tex]x^{\frac{20}{6} }[/tex]

Divide both 20 and 6 by 2 to make it to simplest form, then the result

=[tex]x^{\frac{10}{3} }[/tex]

Hence, the simplified radical form of the equation [tex](x^{4})^{\frac{5}{6} }[/tex] is [tex]x^{\frac{10}{3} }[/tex]

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The equation, in point-slope form, that represents the distance of Byron from home is: A. y - 4 = -6(x - 1/2).

An equation can be written in point-slope form, where m represents the slope and (a, b) represents a point on the line, as: y - b = m(x - a).

From the given information describing Bray's distance from home after some time, we have the following parameters:

Substitute m = -6 and (a, b) = (1/2, 4) into y - b = m(x - a):

y - 4 = -6(x - 1/2)

Therefore, the equation, in point-slope form, that represents the distance of Byron from home is: A. y - 4 = -6(x - 1/2).

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Answer:

8.30

Step-by-step explanation:

19.92 / 2.40 = 8.30

8.30 is the amount per pound.

Answer: 8.30

Step-by-step explanation: We know that Paula Paid 19.92$ for 2.4 pounds

Price of 1 Walnut = 19.92 ÷ 2.4 = 8.30

Answer:

9/25

Step-by-step explanation:

0.36 = 36/100

36 / 4 = 9

100 / 4 = 25

9/25

The number of burgers Steve can make = 18

In this question, Steve has 6 3/4 pounds of ground beef to make hamburgers for a party.

It takes 3/8 of ground beef to make a hamburger.

We need to find the number of burgers Steve can make.

First we convert the improper fraction 6 3/4 into a proper fraction.

6 3/4 = 27/4

For 1 hamburger 3/8 of ground beef is required.

Let n be the number of burgers Steve can make.

n = (27 / 4) / (3 / 8)

n = 27/4 × 8/3

n = 9 × 2

n = 18

Therefore, the number of burgers Steve can make = 18

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The personal expense that the Penders spent more on than they had budgeted is:

Credit Cards & Pocket Money to the tune of $ 23.75 (Option C)

A budget is an estimate of revenue and costs for a given period of time that is generally created and re-evaluated on a regular basis. Budgets may be created for an individual, a group of individuals, a company, a government, or almost anything else that generates and spends money.

The budgeted amount for Credit Card was $50. Total amount spent was $60. Hence the excess amount spent is $10.

The budgeted amount for Pocket money was $80. Total amount spent was $93.75. Hence the excess amount spent is $13.75.

Hence total amount spend over budget is $23.75

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Answer:

[tex]a = p(1 + in) \\ = 5500(1 + 0.048 \times 6) \\ = 7084[/tex]

Answer: 1139

Step-by-step explanation:

-137+854=717

717-84=633

633+506=1139

Applying the distance formula to find the base and height of the triangle, the area of the triangle is calculated as: 17.85 units².

Area of triangle = 1/2(base)(height).

The base of triangle QRS is QS.

The height of triangle QRS is RT.

Use the distance formula [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find the length of QS and RT:

Q(2, 4) = (x1, y1)

S(8, -2) = (x2, y2)

QS = √[(8−2)² + (−2−4)²]

QS = √72

QS ≈ 8.5 units

R(6, 6) = (x1, y1)

T(3, 3) = (x2, y2)

RT = √[(3−6)² + (3−6)²]

RT = √18

RT ≈ 4.2 units

Area of triangle QRS = 1/2(8.5)(4.2)

Area of triangle QRS = 1/2(35.7)

The area of triangle QRS = 17.85 units²

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Given that QS bisects PQR making mPQS the same as the mSQR, the numerical value of x is 4

A bisector divides a segment or angle into two equal halves.

Given the data in the question;

Since QS bisects PQR, m PQS is the same as m SQR.

Hence;

m SQR =  m PQS

We plug in the values

(4x+15) = (10x-9)

Remove parenthesis and solve for x.

4x + 15 = 10x - 9

15 + 9 = 10x - 4x

24 = 6x

x = 24/6

x = 4

Given that QS bisects PQR making mPQS the same as the mSQR, the numerical value of x is 4

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Answer:

32

Step-by-step explanation:

do 4 divided by 1/8

if you flip the fraction it will become 4/1 × 8/1 = 32

Answer:

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Inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

As given in the question,

Amount Gabriela plans to save to buy a car = at least $5,600

Amount she already has = $2500

Amount she needs to save at least = $(5600 -2500)

                                                          =$3100

Plans to save each month =$500

Inequality to represents the number of months to save at least $5600

m ≥ 3100/500

⇒ m ≥ 6

Therefore, inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

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Answer:

The length of rectangle seven more than triple the width. If the perimeter 126 inches, find the dimensions The width inches. The length inches.

Answer:

acbs

Step-by-step explanation:

Answer:

A = 261 calories. and B = 251 calories

Step-by-step explanation:

A + 2B = 763

2A + B = 773

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

-2(A + 2B = 763)

↓

-2A - 4B = - 1526

2A + B = 773

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

-3B = - 753

B = 753/3

B = 251

Candy bar B has 251 calories

now let's find A

A + 2B = 763

A + 2 (251) = 763

A + 502 = 763

A = 763 - 502

A = 261

Candy bar A has 261 calories