Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Answer:

E+ 9

Step-by-step explanation:

Let E represent a number.

The sum of nine and the number is then E+9 as "sum" denotes addition.

Therefore the representation would be E+9

The angle formed by the ribbon and the pole is 29°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle formed by the ribbon and the pole.

Hence:

[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]

The angle formed by the ribbon and the pole is 29°

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0).  (0, 3) is the y-intercept.  Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3.  Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

Answer: x = 56  and y= 56

Step-by-step explanation: 124 + 124 = 248  

360 - 248 = 112

112 divided by 2 = 56

Answer:

■ y = m x

m = slope

Here m = 4/3

,*,slope is 4/3

Answer:

Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...

y=−4x−3    y=−2x+1

-2x+1=-4x-3 substitute

-2x+4x=-3-1  move and combine like terms

2x=-4 divide

x=-2

Have a gud day!

Answer:

B) 6<x<90

Step-by-step explanation:

48+42=90

48-42=6

There will be a number greater than and a number less than x.

90>6

6<x<90

Hope this helps :)

Answer:

The present ages of the granddaughter and grandfather are 6 and 60 years.

Step-by-step explanation:

Let the present age of granddaughter be x years.

So, the present age of grandfather is 10x years.

According to the given condition, we have

10 x = 54 + x

9 x = 54

x = 6

10 x = 60

age of grandfather is 60

age of granddaughter is 6

Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.

(hope this helps can I pls have brainlist (crown)☺️)

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

Using the given information the equation of the line is y = -3/2x + 2

Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:

Using X = 0:

y = -3/2(0) + 2, y = 2

First point is (0,2)

Now X = 4:

y = -3/2(4) + 2 = -6 + 2 = -4

Second point = (4,-4)

See attached image with plotted line:

Answer:

GCF of 30 and 60 is 30.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

Answer:

Area=77

Step-by-step explanation:

P=36

P=2l+2w

l=w+4

P=2(w+4)+2w

P=2w+8+2w

P=4w+8

36=4w+8

28=4w

w=7

l=7+4

l=11

A=lw

A=77

Answer:

Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck

Step-by-step explanation:

Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

Answer: 2.6%

Step-by-step explanation:

4 3/4 = 4.75 which I'll be using because its easier for me

0.125 / 4.75 = 0.0263157895

0.0263157895 * 100 = 2.63157895

2.63157895%

Rounded is 2.6%

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

Answer:

704 students can fit in the cafeteria a day

Answer:

x=10

Step-by-step explanation:

(17+x+10+51+17)/5=21

95+x=105

x=10

The required value of x for the given mean of the data is x = 10.

In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.

Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,

Mean = ( x₁ + x₂ + x₃ + .....)/n.

Given that,

The mean of  17, x, 10, 17 and 51 is 21.

It can be written in mathematical form as,

(17+ x + 10 + 17 + 51 )/5 = 21

=> 17+ x + 10 + 17 + 51 = 21 × 5

=> x = 105 - 95

=> x = 10

Hence, for the given data the value of x is 10.

To know more about mean click on,

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Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61

Answer:

The answer it's c. Point C

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

Answer:

The domain is x = all real numbers and the range is y >= 0.

Step-by-step explanation:

The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).

The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.

Answer:

x = Infinite answers.

y = Infinite answers.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

2x + 2y = 6

2x + 2y = 6

=> Therefore, x and y have infinite values that can fit the equation.

Hoped this helped.

Answer:

20

Step-by-step explanation:

Answer:

∠KJL = 45°

∠x=45°

∠DBC=67.47°

Step-by-step explanation:

x+x=90

2x=90

x=45°

Answer: there you go

Step-by-step explanation: