What is the slope of the line in the graph?

Answer: see attachment

Step-by-step explanation:

The standard form of a linear equation is: Ax + By = C

where A, B, and C are INTEGERS.

The 1st, 3rd, & 4th equations are in the form Ax + By = C

The 2nd, 5th, & 6th equations are NOT in standard form.

Answer:

d=6t

Step-by-step explanation:

Divide 72 by 12 to know how much distance is traveled in every second.

So he travels 6 meters every second

PART A Answer: 3250

PART A Step-by-step explanation:

3.25 x 10 cubed = 3250

Par B answer:

The second one.

This is because if it was the first one the railway and motorway would be too close.

p.s please mark me brainliest!

Answer:

73.72 ft Squared

Step-by-step explanation:

First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...

1.) 80=3.14x2

3.14x2=6.28       80=6.28              (Then you divide 6.28 by 80)

                             80    80                  

Answer:

A.) 1.8x - 10 = -4; x = 10/3

Step-by-step explanation:

hope this helped.

Answer:

a

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

You convert 2/25 into decimal form

Answer:

0.08

Step-by-step explanation:

2/25 is equivalent to 4/50 or 8/100; 8/100, in turn, is equivalent to 0.08

The right answer is of option D.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment......

Answer

The general equation of a parabola is [tex]y^2=4ax[/tex] which represents parabola opening along the positive x-axis and vertex at the origin.

Second equation of the parabola is [tex]y^2 = -4ax[/tex] which represents parabola opening in negative x-axis and vertex at origin.

3rd Equation of parabola is [tex]x^2 = 4ay[/tex] which represents parabola opening along the positive y-axis and vertex at the origin.

4th equation of the parabola is [tex]x^2 =- 4ay[/tex] which represents parabola opening along negative y-axis and vertex at the origin.

Hence, the 4th equation represents Equation 2 which is [tex]x^2 =- 4ay[/tex], and parabola opens down and has a negative y-intercept.

Answer:

false

Step-by-step explanation:

it is only 1 point because it intersects once

Answer:

False

Step-by-step explanation:

The intersection would be where the two lines intersected, it would be only one point, not two (wherever point they intersected is at)

Option B. $54,000 is least likely to be the average salary of another of

the groups

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given, The average salary of one of the groups was $65,000 and the

sampling variability was low.

Therefore, From the given options of different salaries which has the most difference between them is likely to the average salary of another of

the groups.

So, (65000 - 54000) = $9000 is the correct option.

learn more about variability here :

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Answer:

y=3x-5

Step-by-step explanation:

If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.

Answer:

Step-by-step explanation:

1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.

Answer:

10,000,000

Step-by-step explanation:

Answer:

A. 1

Step-by-step explain

You put the number in order and it will be only the 6 from the 6-10.

The value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.

The frequency is the number of times an event happens. Therefore, frequency is the number of repetition of a digit or an event.

For the given data set 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19. The frequency table can be made as,

1 - 5  ⇒  3

6 - 10  ⇒  1

11 - 15  ⇒  4

16 - 20  ⇒  5

21 - 25  ⇒  2

Hence, the value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.

Learn more about Frequency:

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Answer:

Combine terms with the same variable and the same exponent

Step-by-step explanation:

remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them. Terms with exponents work exactly the same way! hope this helps you  :)

Answer:

Combining like terms is just that, combining numbers in an equation that have the same property. examples would be constants or numbers with the same exponent.

Properties of exponents are when you multiply, add, subtract, or divide exponents.

I hope I helped!

Answer:

Acute angle

Step-by-step explanation:

Acute angle: between 0° and 90°

Right angle= 90°

Obtuse angle: between 90° and 180°

Reflex angle: greater than 180°

Answer:

I answered this for you already :)

Answer:

0.1225

Step-by-step explanation:

Given

Number of Machines = 20

Defective Machines = 7

Required

Probability that two selected (with replacement) are defective.

The first step is to define an event that a machine will be defective.

Let M represent the selected machine sis defective.

P(M) = 7/20

Provided that the two selected machines are replaced;

The probability is calculated as thus

P(Both) = P(First Defect) * P(Second Defect)

From tge question, we understand that each selection is replaced before another selection is made.

This means that the probability of first selection and the probability of second selection are independent.

And as such;

P(First Defect) = P (Second Defect) = P(M) = 7/20

So;

P(Both) = P(First Defect) * P(Second Defect)

PBoth) = 7/20 * 7/20

P(Both) = 49/400

P(Both) = 0.1225

Hence, the probability that both choices will be defective machines is 0.1225

Answer:

[tex]\frac{5}{6}, \frac{6}{7}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}[/tex]

The pattern is a bit hard to explain so sorry if it's a weird explanation. The first term starts with 1/2 then 2/3. The numerator of the next term is the denominator of the previous term and the denominator of our current term is the numerator plus one to get the denominator.

Answer:

25 1/3

hope this helps :)

Step-by-step explanation:

Answer:

25   1/3

Step-by-step explanation:

Take the numerator and divide by the denominator

76 /3 = 25

25*3 = 75  there is 1 left over

Take the left over number and put over the denominator

25   1/3

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Answer:

-3

Step-by-step explanation:

x+4-7x=22

x-7x=22-4

x-7x=18

-6x=18

x=18/-6

x=-3

Answer:

x = -3

Step-by-step explanation:

х+4 — 7x = 22

Combine like terms

-6x+4 =22

Subtract 4 from each side

-6x+4-4 = 22-4

-6x = 18

Divide each side by -6

-6x/-6 = 18/-6

x = -3

Answer:

C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)

Step-by-step explanation:

a p e  x , just took the quiz

Answer:

v(Joe) = 1.5km/h

Step-by-step explanation:

v = d/t => d = v·t

Jill

d = 3km/h·4h = 12 km

Joe

d = 18km - 12km = 6km

v = d/t = 6km/4h = 1.5 km/h

Answer:

polynomials are closed under addition, subtraction, and multiplication.

Closure: Polynomials will be closed under an operation if the operation produces another polynomial.

Polynomials form a system similar to the system of integers

Answer:

65

Step-by-step explanation:

Angle A is 55 degrees.

A triangle adds up to 180 in degrees so 60 + 55 = 115

180 - 115 = 65 therefore angle C is 65 degrees.

Angle B is equal to angle C so it's also 65 degrees.

Basically:

A - 55

B - 65

C - 65

Answer:

A. without changing the setting of the compass, place the point of the compass on point D and drawn out the intersects line L and extends below line L.  

Step-by-step explanation:

In the figure attached, the procedure is shown.

In this case, we are at step 2, the first arc was made, and you have to make the second arc (without changing the setting of the compass) placing the point of the compass on point D.

Answer:

Step-by-step explanation:

Given

Quadrilateral QRST

Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)

Dlated Factor = 2

Required

Coordinates of quadrilateral Q′R′S′T′

Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;

In other words,

Q'R'S'T' = Dilation factor * QRST

When Q = (1,2)

Q' = 2 * (1,2)

Q' = (2,4)

When R = (3,4)

R' = 2 * (3,4)

R' = (6,8)

When S = (5,6)

S' = 2* (5,6)

S' = (10,12)

When T= (2,7)

T'  = 2 * (2,7)

T' = (4,14)

Hence, the coordinates of Q'R'S'T' is

Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)

Answer:

Since 2 or x-2= 0 is a zero of the function we divide it by the function to get the other factors

x³ + 2x² - 5x - 6 ÷ x -2

We get

(x + 3)(x+1) = 0

Therefore x³ + 2x² - 5x - 6 in factored form is

(x - 2)(x + 3)(x + 1)

Hope this helps.

[tex]x^{3}+2x^{2} -5x-6[/tex]

Horner:

2  1     2    -5   -6

   1     4     3     0

[tex]x^{3}+2x^{2} -5x-6[/tex]=[tex](x-2)(x^{2} +4x+3)[/tex]

g(x)=[tex]x^{2} +4x+3[/tex]

g(-1)=0

Horner

-1   1    4    3

    1    3     0

[tex]x^{2} +4x+3[/tex]=(x+1)(x+3)

[tex]f(x)=x^{3}+2x^{2} -5x-6=(x-2)(x+1)(x+3)[/tex]