how can -3/5 + 2/5 be modeled on a number line?

Answer:

10 kg = 10g = 10 mg

Hope this helped ;)

Answer:

D. (x-3)(x^2 + 4x - 5)

Step-by-step explanation:

P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.

Polynomials are expressions in algebra which consist of variables, constants and exponents combined using the basic operations in mathematics like addition, subtraction, multiplication and division.

Polynomials can be classified as monomials, binomials and trinomials depending on the degree of the variables as 1, 2 and 3 respectively.

The given polynomial is P(x) = x³ + x² - 17x + 15.

We already have x - 3 is the factor of this polynomial.

To get the other factor which is a binomial, we have to divide the given polynomial with x - 3.

On dividing, we get x² + 4x - 5 as the quotient and remainder equals zero.

So x² + 4x - 5 is the other factor of the given polynomial.

Hence, the polynomial P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.

To learn more about Polynomials, click on the link given below:

https://brainly.com/question/11536910

#SPJ2

Answer: pretty sure it is 56.5

Step-by-step explanation:

Answer:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Step-by-step explanation:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.

Total time of test = 30 minutes

Average time taken by the students to solve the test on Day 1 = 25 minutes.

Average time taken by the students to solve the test on Day 2 = 27 minutes.

Average time taken by the students to solve the test on Day 3 = 22 minutes.

Average time taken by the students to solve the test on Day 4  = 23 minutes.

Average time taken by the students to solve the test on Day 5 = 20 minutes.

Average Time in all Tests = Sum of all times / total number of days

Average Time = (25 + 27 + 22 + 23 + 20) / 5 days

Average Time = 117/5

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Answer:

[tex](13,-23)[/tex]

Step-by-step explanation:

Given

Translation: [tex](x,y) -> (x-4,y+15)[/tex]

Required

Determine the pre-image of (9,-8)

In (9,8)

[tex]x = 9[/tex] and [tex]y = -8[/tex]

So:

[tex](x,y) -> (x-4,y+15)[/tex]

Becomes

[tex](9,8) ->(x-4,y+15)[/tex]

By comparison:

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

[tex]y + 15 = 8[/tex]

Solving for (x):

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

[tex]x = 9 + 4[/tex]

[tex]x = 13[/tex]

Solving for (y):

[tex]y + 15 = -8[/tex]

[tex]y = -8 - 15[/tex]

[tex]y = -23[/tex]

Hence, the pre -image has a coordinate of [tex](13,-23)[/tex]

Answer:

24 i guess. im not sure

Step-by-step explanation:

13.8pie is correct answer of your question

Answer:

[tex]4x + y = - 8[/tex]

Step-by-step explanation:

write in standard form :

[tex]ax + by = c[/tex]

Answer:

The business' total revenue last year was $65,000.

Step-by-step explanation:

So, if you need to find the previous year's total revenue, you would set up an equation like this:

    x + 0.38x = 89,700

I think it would work out something like this:

    x + 0.38x = 89,700

    1.38x = 89,700

    x = 65,000

To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.

    x + 0.38x = 89,700

    (65,000) + 0.38(65,000) = 89,700

    65,000 + 24,700 = 89,700

    89,700 = 89,700

Answer:

1) The first equation of the system is y = 2·x + 3

2) The second equation of the system is y = 3·x - 1

3) The solution of the system is (4, 11)

Step-by-step explanation:

1) From the coordinates of the first table, we have;

The points of the y-coordinate have a common difference of two

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2

The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)

∴ The equation of the line in slope and intercept form is y = 2·x + 3

Therefore, the first equation of the system is y = 2·x + 3

2) Similarly from the coordinates of the second table, we have;

The points of the y-coordinate have a common difference of six

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3

The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)

∴ The equation of the line in slope and intercept form is y = 3·x - 1

Therefore, the second equation of the system is y = 3·x - 1

3) Equating both equations in the system of equations to find a common solution gives;

2·x + 3 = 3·x - 1

∴ x = 4

From y = 3·x - 1  or y = 2·x + 3, we have the value of y at the solution point as  y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11

∴ y = 11 at point of the common solution of the system of equations

Therefore, the coordinates of the common point which is the solution of the system is (4, 11).

Answer:

Select the correct answer from each drop-down menu.

A system of linear equations is given by the tables.

x y

-1 1

0 3

1 5

2 7

x y

-2 -7

0 -1

2 5

4 11

The first equation of this system is y =

2

x + 3.

The second equation of this system is y = 3x −

1

.

The solution of the system is (

4

,

11

).

Step-by-step explanation:

Answer:

Ok so it would be 9.57

Step-by-step explanation:

4.35÷5 = 0.87

so 1 can is 0.87

$0.87*11=$ 9.57

Answer:

a for 2 b for 3 c for 1 and d is 4

Step-by-step explanation:

Answer: Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

Step-by-step explanation: hope this helps

Answer:

8 minutes

Step-by-step explanation:

Step one:

given

A submarine is 105 feet below the surface of the water

depth of submarine= 105 feet

let the time of ascending be x

Required

The time taken to ascend up to 81 ft

Step two:

the expression for the situation is

81=105-3x

solve for x

3x=105-81

3x=24

divide both sides by 3

x= 24/3

x=8 minutes

Answer:

A

Step-by-step explanation:

The constant rate of change in this question simply means the slope

To get the slope, we simply get two points and apply the slope equation;

The points are;

(3,60) and (6,30)

The slope equation is;

m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s

So our answer is the first option as it represents a decent of -10 ft/s

Answer:

f(- 3) = 40

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40

Answer:

C

Step-by-step explanation:

7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Answer:

I think C

Step-by-step explanation:

The component form and magnitude of the vector is  < -6, -2>, √ 40, the correct option is A.

A vector is a quantity that needs both magnitude and direction for its representation.

A vector has origin (6, 2) and terminal point (0, 4).

The component of vectors is determined by the formula

<x,y> = < (x₂- x₁ ) , (y₂-y₁)>

<x,y> = < (0-6), (4-2)>

<x,y> = < -6, -2>

The magnitude of the vector is determined by

[tex]\rm |v| = \sqrt{x^2 +y^2[/tex]

|v| = √ 40

The correct options are  

LeftAngleBracket negative 6, 2 RightAngleBracket and StartRoot 40 EndRoot LeftAngleBracket negative 6, 7 RightAngleBracket and 40 LeftAngleBracket negative 2,6 RightAngleBracket and StartRoot 47 EndRoot LeftAngleBracket negative 2, 6 RightAngleBracket and StartRoot 40

To know more about Vectors

brainly.com/question/25705666

#SPJ5

Answer:

38.11 cm^2

Step-by-step explanation:

DEF is larger than ABC

therefore find the height of ABC

7 = 1/2 * 3 * h

h = 7 * 2/3

h = 14/3

So, lets find height for DEF, 7/3 = H/ 14/3

H = 98/9

A = 1/2 * 7 * 98/9

A = 38.11 cm^2

Step-by-step explanation:

Since cosecx = 1 / sinx,

sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.

Answer:

15

225-75=150

150÷10=15

Answer:

Step-by-step explanation:

Look at the picture.

We have

y = x² - 4 → move the graph of x² 4 units down (the vertex is (0, -4))

x + y + 2 = 0   subtracy x and 2 from both sides

y = -x - 2 → move the graph of -x 2 units down (the y-intercept os -2)

Only graph III and IV meets these conditions.

The solution is the points of intersection of the graphs.

Therefore your answer is GRAPH III

Answer:

[tex]\fbox {C. graph lll}[/tex]

Step-by-step explanation:

The solution of the system of equations can be found at their intersections.

The graph which is correct is graph III as it has the correct representations of the equations and correctly indicates the points of intersection.

Answer:

(0,5)

Step-by-step explanation:

Answer:

5p-2r =19 in this one 5*5-2*3 so in this one p is =5 and r =3 and in the next one 2p+r=4 the answer is for p =1 and r =2 this means 2*1=2 and 2+2=4 and the first one is 5*5=25 and 2*3= 6 and 25-6=19 so that's it I guess

Answer:

Point slope form: -9 = m(3)

Slope intercept form: y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Step-by-step explanation:

We have 2 points to calculate the line.

(3, 21) x1 y1

(6, 12) x2 y2

First, we need to calculate the slope.

m =

m =

m = -3

Point slope form is:

y - y1 = m(x - x1)

So for our case:

-9 = m(3)

And slope intercept form is:

y = mx + b

We need to solve for the y intercept (b)

y = -3x + b --- enter the slope

21 = -3(3) + b --- enter in any point on the line for x and y

21 = -9 + b

b = 30 --- solve for b

Now our slope intercept form of the line is:

y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.