Mathematics College

Can someone help me with this? Please and thank you

Answers

Answer 1

Given the line shown in the figure passes through the points (-3, -4) and (1, 2)

We will write the equation of the line.

First, we will find the slope of the line using the following formula:

[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute with the given points:

[tex]m=\frac{2-(-4)}{1-(-3)}=\frac{2+4}{1+3}=\frac{6}{4}=\frac{3}{2}=1.5[/tex]

The equation of the line in point-slope form will be as follows:

[tex]\begin{gathered} y+4=1.5(x+3) \\ or \\ y-2=1.5(x-1) \end{gathered}[/tex]

Convert tot he slope-intercept form, so, the equation will be:

[tex]\begin{gathered} y=1.5(x+3)-4 \\ y=1.5x+4.5-4 \\ \\ y=1.5x+0.5 \end{gathered}[/tex]

Now, we will check the options to see the correct equations.

So, the answer will be, we will select the options:

A. y+4 = 1.5 (x+3)

B. y = 1.5x + 0.5

C. y - 2 = 1.5 (x - 1)

Related Questions

two friends went to a restaurant and ordered one plain pizza and two sodas. the bill totaled $15.95. later that day, five friends went to the same restaurant. they ordered 3 plain pizzas and 5 sodas. their bill totaled $45.90.write and solve a system of equations to determine the the price of one plain pizza(only an algebraic solution can receive full credit.)

Answers

Let:

x = Cost of one plain pizza

y = Cost of one soda

two friends went to a restaurant and ordered one plain pizza and two sodas. the bill totaled $15.95. so:

[tex]\begin{gathered} x+2y=15.95_{\text{ }} \\ \end{gathered}[/tex]

later that day, five friends went to the same restaurant. they ordered 3 plain pizzas and 5 sodas. their bill totaled $45.90. so:

[tex]3x+5y=45.90[/tex]

Let:

[tex]\begin{gathered} x+2y=15.95_{\text{ }}(1) \\ 3x+5y=45.90_{\text{ }}(2) \end{gathered}[/tex]

From (1) solve for x:

[tex]x=15.95-2y_{\text{ }}(3)[/tex]

Replace (3) into (2):

[tex]\begin{gathered} 3(15.95-2y)+5y=45.90 \\ 47.85-6y+5y=45.90 \\ -y=-1.95 \\ y=1.95 \end{gathered}[/tex]

Replace the value of y into (3):

[tex]\begin{gathered} x=15.95-2(1.95) \\ x=12.05 \end{gathered}[/tex]

Therefore, the price of one plain pizza is $12.05

Let f(x) = 2x^2 – 3 and g(x) =x+1/2Find the value of (fof )(-1)A -1B-3C 0.5D 95

Answers

[tex]undefined[/tex]

Help me rewrite this problem to satisfy the provided boxes please

Answers

EXPLANATION

Since we have the expression:

Removing the parentheses:

[tex]5x^2+6x+5+6x^2-6x-5[/tex]

Rearranging terms:

[tex]5x^2+6x^2+6x-6x+5-5[/tex]

Adding like terms:

[tex]11x^2+0x+0[/tex]

The final expression is as follows:

[tex]undefined[/tex]

use basic trigonometric identities to simplify the expression: sin^3 (x) + cos^2 (x) sin (x)

Answers

Given the following trigonometric expression:

[tex]sin^3x+cos^2x*sinx=?[/tex]

We will simplify the expression as follows:

First, taking sin (x) as a common

[tex]=sin\text{ }x*(sin^2x+cos^2x)[/tex]

Second, we will use the following trigonometric identity:

[tex]sin^2x+cos^2x=1\rightarrow(1)[/tex]

Finally, substitute the trigonometric identity number (1) into the given expression

[tex]=sin\text{ }x*1=sin\text{ }x[/tex]

So, the answer will be sin (x)

Determine whether the function has a minimum or maximum value and then find that value.()=−^2+2−7

Answers

Given function is

[tex]f(x)=-x^2+2x-7[/tex]

Now,

[tex]\begin{gathered} f(x)=-(x^2-2x+7) \\ =-(x^2-2x+1+6) \\ =-\lbrack(x-1)^2+6\rbrack \\ =-(x-1)^2-6 \end{gathered}[/tex]

Being a perfect square,

[tex](x-1)^2\ge0[/tex]

Therefore,

[tex]-(x-1)^2\leq0[/tex]

So,

[tex]f(x)\leq-6[/tex]

Theerfore, the maximum value of the given function is -6.

10x3 thousands=?How many thousands are in the answer?

Answers

Given:

[tex]10\times3\text{ thousands}[/tex]

Required:

We need to find the number of thousands.

Explanation:

Multiply 10 and 3.

[tex]10\times3\text{ =30}[/tex][tex]10\times3\text{ thousands=30 thousands}[/tex]

The number of thousands is 30.

Final answer:

There are 30 thousands.

How would I multiply these two exponents?

Answers

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

geometry angels.PLS HELP I ONLY HAVE Until 10:00pm on 12/1 then I get a ZERO

Answers

We know that the angle 2 and the anlge 4 are equal because of oposite angles so:

[tex]4x-28=3x-9[/tex]

and we can solve for x so:

[tex]\begin{gathered} 4x-3x=-9+28 \\ x=19 \end{gathered}[/tex]

So:

[tex]\angle2=\angle4=3(19)-9=48º[/tex]

Now we also know that angle 1 and 3 are equal and the sum of the internal angles must be:

[tex]\begin{gathered} 360=2(48)+2(y) \\ \frac{360-96}{2}=y \\ y=132 \end{gathered}[/tex]

So angle 1 is equal to 132º

Kali just started a new sales floor job to save for college. She earns 15.75 plus a flat fee of 50 . She wants to earn between 200 and 400 . The following inequality represents her earning potential

200 ≤ 15.75x + 50 ≤ 400 Solve the inequality PLEASE HELP ASAP HELP I WILL GIVE BRAINLIEST AND 100 POINTS
!!

Answers

The solution for the inequality is 11.746 ≤ x ≤ 24.44

Kali earns a 15.75 plus a flat fee of 50 from her job.

She wants to earn between 200 and 400.

Let 'x' denote her earning potential.

Then the inequality for her earning potential is given by,

200 ≤ 15.75x + 50 ≤ 400

We solve this inequality for x.

Subtract 50 from the inequality,

⇒ 200 -15 ≤ 15.75x ≤ 400 -15

⇒ 185 ≤ 15.75x ≤ 385

Divide by 15.75,

⇒ 11.746 ≤ x ≤ 24.44

is the solution for the inequality.

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The box and whisker plot summarizes the data collected on the number of Broadway tickets sold and the actual number of attendees at the plays. Which statement is TRUE about the statistics?
A.) The majority of the data values fall in the upper quartile for both sets of data.
B.) There were fewer tickets purchased than people attending the plays.
C.) The medians of the populations are the same.
D.) There were fewer attendees than purchased tickets.
The plot:

Answers

The true statement based on the information is that D. There were fewer attendees than purchased tickets.

Whet is a box and whisker plot?

A box and whisker plot is a graphical representation of variance in a set of data. A histogram analysis is sufficient in most circumstances, but a box and whisker plot can provide more detail while allowing different sets of data to be displayed in the same graph.

The box and whisker figure highlights data on the number of Broadway tickets sold and actual attendance at the performances. In this case, the graph shows that the number of tickets are more.

Therefore, the correct option is D.

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i need help asp ;-;

Which of the following values is less than −|58|?

A. −48
B. 68
C. −68
D. 48

Answers

C is less that -l58l

Answer:

C. -68

Step-by-step explanation:

Using absolute value symbols, it makes any negative number a positive. But, the negative sign is outside the absolute value signs, making the number -58. -68 is the only number less than -58.

What is 30 percent of 120?

Answers

36
Explanation:
30/100 times 120 = 36

Answer:

30 percent of 120 is 36

Vector A and B are at right angles and have the same initial point. Find the magnitude and direction from vector A of the resultant vector.

Answers

We need to find the magnitude and direction from vector A of the resultanr vector.

lan and Matthew went shopping. lan spent $20 less than twice as much as Matthew spent. In total, they spent $130.

Answers

Using linear algebra, we concluded, the Mathew spent $50 and lan spent $80

What is Linear Algebra?

Vectors, matrices, vector spaces, and linear transformations are all topics covered in the mathematical field of linear algebra. Linear algebra is much better understood than other areas of mathematics, which are regularly stimulated by novel concepts and unresolved issues.

According to the question,

Let Mathew spent $x

lan spent = 2x - 20

Total money spent = $130

⇒ 2x - 20 + x = 130

⇒ 3x - 20 = 130

⇒ 3x = 150

⇒ x = 50

2x - 20 = 2(50) - 20

= 80

So, Mathew spent $50 and lan spent $80

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if y =3x^3 + 2x^2 - 5x + 2, find d^3y/dx^3

Answers

Answer:

Step-by-Step Explanation:

[tex]\frac{dy}{dx}=9x^2 + 4x-5 \\ \\ \frac{d^2 y}{dx^2}=18x+4 \\ \\ \frac{d^3 y}{dx^3}=18[/tex]

In which pair do both decimals represent rational numbers? O A. 9.0032812373025549382... and 0.12333.. OB. 0.115 and 0.12333... O C. 3.10382947305718274... and 0.123 O D. 9.0032812373025549382... and 0.115

Answers

Rational numbers can be formed by dividing 2 integers. It can be represented in this format x/y where y is not 0. Rational numbers, in decimal form are not repetitive and unending.

Therefore,

The density of copper is 9.86 g/cm".
Work out the mass of the solid copper cuboid in kg
10 cm
3 cm
5 cm
Step by step

Answers

it’s 10 girl hey bye bye

i would appreciate so much if you could answer this and atleast explain a little how you did it (optional)

Answers

Answer:

Fee of whole band = Fee of writer + guitarist + singer

Fraction of fee of whole band = 4/12 + 1/12 + 1/12

= 4+1+1/12

=6/12

=1/2

Fee of writer= 4/12 of £3000

=3000 × 4/12

= £1000

Fee of singer= 1/12 of £3000

= 3000 × 1/12

= £250

Fee of guitarist= Fee of singer

= £250

1. What is the reciprocal of 5? 6 Show your work below! (click "Show Work Type a response OD

Answers

Answer:

1/5

Step-by-step explanation:

a reciprocal is the multiplicative inverse

Answer:

The reciprocal of 5 is 1/5

Step-by-step explanation:

The reciprocal of a number is the fraction flipped upside down

6/1 = 1/6

⇒ 5/1 = 1/5

Name the point that lies on this line: y = 2 + 5(x + 7)

Answers

(1, 42)

1) Since we have an equation of the line y = 2 + 5(x + 7) let's find one point that ∈ to this line.

2) Let's plug into that for x, the value of x=1

y= 2+ 5(1+7)

y= 2 +5(8)

y= 2 +40

y= 42

3) So one of the points that lie on this line is (1, 42) i.e. belong to that line.

Hello I need help on this math questionYou can zoom in the picture

Answers

In this problem, we have the transformation

A(-3,4) -------> A'(-15,20)

The rule is

(x,y) -----> (5x,5y)

the answer is option b

I need help with 3x-2y=24 find the y and x intercept and the slope

Answers

3x-2y=24

3x - 2y + 2y = 24 +2y Adding 2y to both sides of the equation

3x - 24 = 2y + 24 - 24 Subtracting 24 from both sides of the equation

(3x - 24)/2= 2/2y Dividing by 2 on both sides of the equation

3/2x - 12 = y

From this form of the equation we deduce the slope (coefficient of x) is 3/2 and the y-intercept is equal to -12.

To find the x-intercept, we replace y= 0 in the equation and isolate x

3/2x - 12 = 0

3/2x - 12+12 = 0+12 Adding 12 to both sides of the equation

x= 12/(3/2) Isolating x

x= 8

The x-intercept is 8

The balance of an account after t years can be found using the expression 4,500(1.75)^t where the initial balance was $4,500. By what percent does the account increase annually?

Answers

Solution

The Amount after t years is given by

[tex]A(t)=4500(1.75)^t[/tex]

The Percentage annual increase is

[tex]\begin{gathered} \frac{A(1)-A(0)}{A(0)}\times100\% \\ \Rightarrow\frac{4500(1.75)-4500}{4500}\times100\% \\ \Rightarrow0.75\times100\%=75\% \end{gathered}[/tex]

Hence, the account increase 75% annually

a real life situation for -2 × 4

Answers

How many miles of gas does my car travel if it used 2 gallons of gas with a speed of 4 mi/h?

Identify the reasoning that would justify each step in solving for m

Answers

Given

[tex]\frac{3}{4}(m-500)=8000+4000[/tex]

Notice that the right side of the equation consists of like terms (they do not depend on m). Therefore, Step 1 goes with Combine like terms.

Then,

[tex]\frac{3}{4}(m-500)=\frac{3}{4}*m+\frac{3}{5}(-500)=\frac{3m}{4}-375\rightarrow\text{ distributive property}[/tex]

Step 2 applies the distributive property.

As for the properties of the equality,

[tex]\begin{gathered} a=b\Rightarrow a+c=b+c\rightarrow\text{ addition property of equality} \\ a=b\Rightarrow ac=bc\rightarrow\text{ multiplication property of equality\rbrack} \\ a=b\Rightarrow\frac{a}{c}=\frac{b}{c}\rightarrow\text{ division property of inequality} \end{gathered}[/tex]

Thus, steps 3 through 5 are:

Step 3 - Addition property

Step 4 - Division property

Step 5 - Multiplication property

wildlife shelter in North Carolina is home to native species of birds. mammals, and reptiles. If cat chow is sold in 20 lb bags, what is the least number of bags of cat chow needed for one year at this shelter

Answers

At least 26 bags of cat chow is required for a period of one year to fulfil the demand at the wildlife shelter in North Carolina

Quantity of cat chow sold in each bag = 20 lb

Consumption in lb of cat chow per week in the wildlife shelter = 10 lb

Number of weeks in a year = 52 weeks

The total quantity of cat chow required for 52 weeks = Weekly consumption of cat chow*Number of weeks

= 10*52

= 520 lb

Number of bags required = Toal quantity of cat chow required for 52 weeks/ Quantity of cat chow sold in each bag

= 520/20

= 26 bags

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In August, a giant panda named Lucky was born at the Silver City Zoo. In September, Lucky
weighed 3.07 pounds. Today, Lucky is weighed again and he is heavier than before. Now
Lucky weighs 10.81 pounds.
Use an equation to find the amount of weight Lucky gained between September and today.

Answers

Using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

So, in September, Lucky weighed = 3.07 pounds

Today's Lucky weighed = 10.81 pounds

The equation form is:

Let x = weight to find Lucky3.07 + x = 10.81This is a linear equation

So, now solve this linear equation and find 'x' as follows:

3.07 + x = 10.81=> x = 10.81 - 3.07=> x = 7.74

Therefore, using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

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help please to find the answer of the blanks

Answers

The associated matrix associated to the linear transformation is A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex].

How to find the associated matrix associated to a linear transformation

Linear transformations are applications between two vector spaces that preserves the properties of vector addition and the product of a vector and a scalar. In this problem, we find the following linear transformation between the two bases:

W → V

(w₁, w₂, w₃, w₄) → v₁

Then, there is the following relationship:

V = A · W

Where A is the associated matrix. The matrix V has four rows and one column and the matrix W has two rows and one column. Then, by property of multiplication of matrices, the associated matrix has four rows and two columns. Then, the associated matrix is:

A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex]

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Using FUNCTION NOTATION, assume you are given the function: y = 3x - 2. This can be rewritten as ________ = 3x - 2, since y can be replaced with _______.

Answers

The complete statement is:

This can be rewritten as _f(x)_ = 3x - 2, since y can be replaced with _f(x)__.

How to use function notation?

A general relation is written as:

y = something that depends of x.

This is a relation that relates the variable y with the variable x, where we define x as the input and y as the output.

If this is a function, we can use the notation:

y = f(x).

(or any letter of x, f(x) is the most common notation used)

in this case, we have:

y = 3x - 2

And in function notation, this will be writen as:

f(x) = 3x - 2

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The area of a window measures 336 Square inches. If the window is 16 inches wide. How long is the window?

Answers

The window has a length of 21 inches

How to determine the length of the window?

From the question, we have the following parameters

Area of the window = 336 square inches

Width of the window = 16 inches

The area of the window is the product of its dimensions

So, we have

Area = Width of the window x Length of the window

Substitute the known values in the above equation

So, we have the following equation

336 = 16 * Length

Divide both sides by 16

Length = 21

Hence, the length is 21 inches