Mathematics College

what is the equation in point slope form of the line that passes through the point (5, 0) and has a slope of 1.2?

Answers

Answer 1

To see the equation we know that the general equation of a line is:

[tex]y=mx+b[/tex]

Where m is the slope. So you know that the slope is 1.2, then you have an equation like this:

[tex]y=1.2x+b[/tex]

Since b is just a number we can say that this is also equal to:

[tex]y=1.2(x+c)[/tex]

We'll write it this way so it's similar to the options.

Then you know that the line pases through point (5,0). To find the value of constant c we replace the value of x and y from this point (x = 5 and y=0):

[tex]0=1.2(5+c)[/tex]

And clear c from this expression

[tex]0=5+c\Rightarrow c=-5[/tex]

So the answer is:

[tex]y-0=1.2(x-5)[/tex]

Related Questions

A local grocer cut his marketing budget by 54% last year. He spent only $650 on marketing this year and is happy with his decision. How much did the grocer spend on marketing last year? Round your answer to the nearest cent. Do not include units with your answer.

Answers

Given that the grocer spent only $650 on marketing this year, you know that this is 54% of his marketing budget last year.

You can rewrite a percent as a Decimal Number by dividing it by 100:

[tex]\frac{54}{100}=0.54[/tex]

Let be "x" the amount of money (in dollars) the grocer spent on marketing last year.

Knowing all the data, you can set up the following equation:

[tex]x-0.54x=650[/tex]

When you solve for "x", you get:

[tex]0.46x=650[/tex][tex]\begin{gathered} x=\frac{650}{0.46} \\ \\ x\approx1413.04 \end{gathered}[/tex]

Hence, the answer is: He spent $1,413.04 .

If each pair of 2 students share one regular size popcorn, how many cups of popcorn will each student get? (1 cup= 14.4in³)

Answers

Answer:

4 cups

Explanation:

First, we calculate the volume of the regular size popcorn:

[tex]\begin{gathered} \text{Volume}=5\times3\times8 \\ =120\; in^3 \end{gathered}[/tex]

Given that:

[tex]\begin{gathered} \text{14}.4in^3=1\text{ cup} \\ 120in^3=x\text{ cups} \\ \frac{14.4}{1}=\frac{120}{x} \\ 14.4x=120 \\ x=\frac{120}{14.4} \\ x=8.33\text{ cups} \end{gathered}[/tex]

Thus, if each pair of 2 students share one regular-size popcorn, each student will get approximately 4 cups.

11) Tell whether (3, 20) is a solution of y = 4x +8 A) Yes B) No

Answers

y = 4x + 8

To tell if (3, 20) is a solution, we will substitute the value of x = 3 and y= 20

into the equation to see if the left-hand side equals the right-hand side of the equation

So, upon substituting

20 = 4 x 3 + 8

20 = 12 + 8

20 = 20

Since the left-hand side of the equa

Simplify 5(3p - 2) + 2(p +4)

Answers

[tex]5\mleft(3p-2\mright)+2\mleft(p+4\mright)\text{ = 17p-2}[/tex]

Here, we want to simplify the expression

To do this, we shall use the term outside the bracket to multiply the terms inside the brackets before we proceed to add them together

We have this as follows;

[tex]\begin{gathered} (5\times3p)-(5\times2)\text{ + (2}\times p_{})\text{ + (2}\times4) \\ =\text{ 15p - 10 + 2p + 8} \\ =\text{ 15p}+2p-10+8 \\ =\text{ 17p -2} \end{gathered}[/tex]

Simplify 5(3p-2) +2(p+4)
15p - 10 +2p+8
17p-2

find 264 + 638 using drawings of place value blocks. please show the work

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

264 + 638

Step 02:

place value blocks

264

+ 638

_______

902

That is the full solution.

Given:• VU is tangent to Circle Q• UV = 20• UT = 8U2000TSFind the length of the radius of the circle.6O 1202142

Answers

To solve this question and find the radius of the circle, we will use the s

I need help please I can’t figure this out and it’s my last question

Answers

QUAD magnified 4 times gives Q'U'A'D'

D(7,0)

Q(0,0)

Then center of rectangle is at (D -Q)/2= 3.5

Area of rectangle QUAD= (7-0)•(5-0) = 35

4times area QUAD = 4x35= 140

Then

Q'= (0,0)

Q'U'= 4xQU = 4x5 = 20

PLEASE HELP. FUNCTIONS AND RELATIONS. The height of a model rocket, h(t), is a function of the time since it was launched, t. What is the domain of h(t)?

Answers

Recall that the domain is all the values of the graph from left to right.

From the given graph we get that its domain consists of all values greater than or equal to 0 and less than or equal to 42.

Then the domain of the given function in algebraic notation is:

[tex]0\leq t\leq42.[/tex]

Answer: Option D.

(a) Approximate the population mean and standard deviation of age for malesMale and female populations of totunder 10 years old are represented by age inthe table below. Completo port(a) through10(Round to two decimal places as needed)

Answers

Answer:

Step-by-step explanation:

The population means is an average of a group characteristic. A characteristic is just an item of interest.

[tex]\begin{gathered} \mu=\frac{\sum ^{}_{}x}{N} \\ \mu=\frac{\text{Sum of all the items}}{\text{ Number of items}} \end{gathered}[/tex]

Then, for the population mean and standard deviation of the age for males;

Total of population: 266

[tex]undefined[/tex]

The regular price of a shirts is $12.00.If Jason bought the shirt for 45% off the regular price,how much did he save? A. $4.50 B. $5.40 C. $5.60 D.$6.60

Answers

First, we need to find 45% of $12

45% of $12 = 45/100 x12 = $5.4

He bought the shirt : $12 - $5.4 = $6.6

Therefore he saved $5.40

disconnect me pls c bc

Answers

tutor loses connection for 30+

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 7 hours?A.270B.1082C.635,818D.45,674

Answers

we have the exponential function

[tex]B(t)=4e^{0.8t}[/tex]

For t=7 hours

substitute

[tex]\begin{gathered} B(t)=4e^{0.8*7} \\ \\ B(t)=1,082\text{ bacteria} \end{gathered}[/tex]The answer is option B

Find the surface area of a square pyramid:b= 8 m, sh = 12 mSA= perimeter slant height +B (area of the base)2If that does not make sense there is a picture and no links

Answers

Take into account that the surface area of the given pyramid is the sum of the four triangular faces. Use the given equation for the surface area:

write a polynomial function of least degree with integral coefficients that had the given zeros. -3,3,-2

Answers

x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Given, the zeros of a polynomial be,

-3 , 3 and -2

As, the polynomial has 3 zeros then the degree of the polynomial is also be , 3.

Let the polynomial be,

p(x) = (x - (-3))(x - 3)(x - (-2))

p(x) = (x + 3)(x - 3)(x + 2)

On multiplying the factors, we get

p(x) = (x² - 3²)(x + 2)

p(x) = (x² - 9)(x + 2)

p(x) = (x³ - 9x + 2x² - 18)

p(x) = x³ + 2x² - 9x - 18

So, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Hence, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Learn more about Polynomials here https://brainly.com/question/23974386

#SPJ9

Hailey's hope his dad move their old television which weighed 81 lb to the basement then he helped set up their new 32-pound television in the family room how much more did the old television weigh then the new one

Answers

To find the answer to this question, find the difference between the old television weight and the new television weight. Substract 32 to 81:

[tex]81-32=49[/tex]

The old television weighs 49 pounds more than the new one.

they are 45 baseball points there's 14 basketball points football 21 points soccer 20 points what is the ratio of soccer to baseball and simplest form?

Answers

Given:

Number of baseball points = 45 points

Number of basketball points = 14 points

Number of football points = 21 points

number of soccer points = 20 points.

To find the ratio of soccer to baseball points, we have:

soccer : baseball = 20 : 45

in simplest form, divide both sides by 5 which is the Greatest Common Factor (GCF) of both numbers.

Thus, we have:

20÷5 : 45÷5 = 4:9

Therefore, the ratio of soccer to baseball in simplest form is = 4 : 9

ANSWER:

4 : 9

which of the venn diagrams represents"not x"

Answers

The complement of a set x is everything in the in x by not 4 sets is denoted by: x'

The diagram contains a rectangle labeled with italic capital y. There is an oval inside the rectangle labeled with an pituitary capital X The region outside the oval but Inside the rectangle is shaded.

The outside of that figure is "not = x" or the logical nation of x.

A Venn diagram consists of two or three intersecting circles each representing a class labeled with a capital letter. Lowercase x and shading is used to indicate the presence or absence of some member of a particular class.

To solve the three-circle Venn diagram first enter the number of elements common to all three file sets. Then enter the remaining number of items in the Overlap area for each statement pair. Enter the number of remaining items in each set. Finally, find missing values using all known sums.

Learn more about A Venn diagram here:-https://brainly.com/question/24713052

#SPJ1

Which parent function is f(x)=2^x?

Answers

Given the function:

[tex]f(x)=2^x[/tex]

As the coefficeint of x = 1

So, the given function represents a parent function

fill in the blanks.6x20=6x2x_____5x100=______x10x10

Answers

ANSWER

1. 10

2. 5

EXPLANATION

We want to expand the expressions given:

1. 6 x 20 = 6 x 2 x ____

To do this, we have to divide 20 by 2, because 20 was expanded to give 2 x __.

20 divided by 2 is 10, so the answer is:

6 x 20 = 6 x 2 x 10

2. 5 x 100 = ___ x 10 x 10

This is straightforward, since 10 x 10 is 100.

The answer is:

5 x 100 = 5 x 10 x 10

Please help me on the question I don’t get it c) For architects, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)d) For nurses, by what percent did the median earnings increase for those who held a graduate degree compared to those who were recent college graduates? (round to the nearest integer)

Answers

(a) From the graph, the average recent college graduate engineer makes $65000, and the average recent college graduate accountant makes $40000. Therefore, an engineer makes $65000 - $40000 = $25000 more than the accountant.

(b) In marketing, the average graduate degree holder makes approximately $80000 (rounded down to the nearest thousand), and the average recent college graduate makes approximately $35000 (rounded down to the nearest thousand). Therefore, the average graduate degree holder makes $80000 - $35000 = $45000 more than the average recent college graduate

(c) graduate degree holder architect average earning: $75000 (rounded down to the nearest thousand)

average recent college graduate architect average earning: $35000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{75000-35000}{35000}\cdot100 \\ \text{percent increase }\approx114\text{ \%} \end{gathered}[/tex]

(d) graduate degree holder nurse average earning: $ 80000 (rounded down to the nearest thousand)

average recent college graduate nurse average earning: $45000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

[tex]\begin{gathered} \text{percent increase = }\frac{\text{ degr}ee\text{ holder - college graduate}}{\text{college graduate}}\cdot100 \\ \text{percent increase = }\frac{80000-45000}{45000}\cdot100 \\ \text{percent increase = 78 \%} \end{gathered}[/tex]

(e) Comparison between average earning of a degree holder and of a college graduate for each area:

Engineers