Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.

Find the slope first by using rise/run

[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]

[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]

Answer:

88 questions

Step-by-step explanation:

86/0.98 = 87.755

pls mark brainliest :D

The graph based on table is drawn in picture.

A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.

A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.

In the question given,

scale on x-axis is 0 to 10 with the interval of 1

thus, points on x axis are 0,1, 2, 3, ----,10

scale on y-axis is 0 to 5000 with the interval of 500

thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000

The grid graph is shown in picture .

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Answer:

no. i do not think so.

Step-by-step explanation:

Answer: If you were to do the butterfly trick 7x11=77 and 2x37=74 so no they are not equal

Step-by-step explanation:

Answer:

one dollar!?!??

Step-by-step explanation:

giiiiiirrrrrl u funny

Answer:

9

Step-by-step explanation:

18/2=9

Answer:

2 . 2 . 2 . 2 . 2 . 2,  4 . 16, 8 . 8

Step-by-step explanation:

2 times itself 6 times

read it again it says all that applies

Answer:

It is the one with the purple outline, and then the rest in that column

Answer: ME

Step-by-step explanation:

The height above Earth's surface that the boulder rests is 3.16m.

Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .

Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.

Formula of potential energy :

PE = mgh

where, PE = gravitational energy / potential energy

           m = mass of object

           g = gravitational acceleration

           h = vertical height  of object

According to question given:

PE = 15500J

m = 500kg

g = 9.8

As PE = mgh

therefore, h = PE / mg

i.e. h = 15500 / (500)(9.8)

     h = 3.16m

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Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-3)=-2(x-(-5))[/tex]

[tex]y+3=-2(x+5)[/tex]

[tex]y+3=-2x-10[/tex]

Subtracting 3 from both sides, we get

[tex]y=-2x-10-3[/tex]

[tex]y=-2x-13[/tex]

So, the equation of line is [tex]y=-2x-13[/tex].

Putting x=0, we get

[tex]y=-2(0)-13[/tex]

[tex]y=0-13[/tex]

[tex]y=-13[/tex]

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.

Answer:

0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

[20 + (2.5 × 3)] - 27

Step 2: Evaluate

Answer:

40%

Step-by-step explanation:

6/15 = 0.4

0.4 * 100 = 40%

Answer:

40%

Step-by-step explanation:

Since there are 15 total kids and 6 of them are girls, we can write this question as the fraction 6/15.

6/15 is 0.4 and to get the percent you would multiply by 100%.

Therefore the answer is 40%

Answer:

Slope is -7/4

Answer:

A

Step-by-step explanation:

Assuming that items are on the x axis and revenue is on the y axis we can predict that for every 1 item produced the revenue is $3.

Technically speaking you can write the coordinate point as:

(1 item, 3 dollars in revenue)

Therefore, letter A would be correct.

I hope this helps!!

- Kay :)

We can say that any of the two given conditions are true -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

We have a the point (1, 3) represent on the graph.

Assume that we represent the item produced is mentioned along the [x] - axis and revenue generated is along the [y] - axis. Since, the graph is not given, we can assume that any one of the given condition is true -

Therefore, we can say that any of the two given conditions are true -

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The limit of the function as the variable n tends to minus infinity is -1. Option C is correct

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by n³

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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The interval that contains the median 25.5 is

(5 - 10)

The median is the value that's exactly in the middle of a dataset when it is ordered.

We have a histogram as given below.

We need to make a table of class intervals and their frequency:

class interval      frequency

0-5                       22

5-10                       5

10-15                       9

15-20                      9

20-25                      5

25-30                      1

We also need to find the cumulative frequency.

class interval      frequency    cumulative frequency

0-5                       22                 22

5-10                       5                   22 + 5 = 27

10-15                       9                  27 + 9 = 36

15-20                      9                   36 + 9 = 45

20-25                      5                   45 + 5 = 50

25-30                      1                      50 + 1 = 51

Now,

The number of questions = 50 ( even number)

Median:

= (50 + 1) / 2

= 51 / 2

= 25.5

We need to select the cumulative frequency where it is greater than the median.

So we have 27 which is at the interval (5 - 10).

Thus the interval that contains the median 25.5 is (5 - 10)

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The liters of milk  litres you can buy with $20 is mathematically given as

v=22.8571L

Question Parameter(s):

Suppose milk is selling for 87.5¢ per litre

Generally, the equation for the Volume of milk  is mathematically given as

1=87.5c

v=20,00c

Therefore

v=2,000/87.5

v=22.8571

In conclusion, volume of milk

v=22.8571L

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Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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Answer:

500:300

Step-by-step explanation:

first add the ratios 5+3=8

then divide by 800

800÷8=100

now,

it's 500:300 .

hope I helped!

Answer: 500 : 300 because here Step-by-step explanation: Ratio Division Formula Rr = Rn × M : Rd × M Ratio Division Values Rn = 5 Ratio Numerator Rd = 3 Ratio Denominator Rs = Rn + Rd Rs = 5 + 3 Rs = 8 Ratio Sum a = 800 Amount to Divide M = a ÷ Rs M = 800 ÷ 8 M = 100 Multiplier Ratio Division Calculation Rr = Rn × M : Rd × M Rr = 5 × 100 : 3 × 100 Rr = 500 : 300

If 1 mile equals 1.6 km, the distance these birds fly is 32000km.

Here we have,

Total miles = 20,000

Given, 1 mile = 1.6 kilometer

Thus, total km travel = 20000 x 1.6

Total km travel = 32000 km

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement.

Thus, some bird species travel 20,000 miles. These birds travel 32000 kilometers if a mile is equal to 1.6 kilometers.

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Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers.   Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:

Case A

√4 + √16 = 2 + 4 = 6

Case B

√5 + √36 = √5 + 6

Case C

√9 + √24 = 3 + √(6 × 4) = 3 + 2√6

Case D

2√4 = 2 × 2 = 4

Case E

√49 × √81 = 7 × 9 = 63

Case F

3√12 = 3√(3 × 4) = 6√3

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

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Answer:

We can use the Pythagorean theorem to solve this:

The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:

c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.

Now that we have an equation we can solve:

c^2=8^2+8^2

c^2=64+64

c^2=128

Since there is no perfect square for 128 we need to put in in simplest radical form

c=√128

Find a number that has a perfect square and multiplies by another number to equal 128

c=√64 x 2

This can be rewritten as so:

c=√64√2

Now for the last step find another perfect square for 64 and have it outside the square like so:

c=8√2

There is no perfect square for 8 so this is in simplest radical form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]

Answer:

42

Step-by-step explanation:

i said so

The restaurant charge 775 $ in total for a private party with 45 guests.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total number of guest is x;

and, the Total Cost of Hosting a Private Party be y;

here it is given that :

A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :

y = 15x + 100

Now, for 45 number of guests that is x = 45, then y will be :

y = 15x + 100

y = 15 x 45 + 100

y = 675 + 100

y = 775 $

Thus, the restaurant charge 775 $ in total for a private party with 45 guests.

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