Choose the equation that represents the graph below:
8
6
4
ND
No
6 8
-8 -6 -4 -2
- 2 +
-4 +
-6
02

The solution point is (4,2).

Step-by-step explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

⇒ y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)

Answer:

(-8,-6)

Step-by-step explanation:

This is the real answer for this question and this is a image of the graph

Answer:

Area: 7, because there are 7 squares.

Perimeter: 14.

Step-by-step explanation:

Answer:

3 acute angles.

Step-by-step explanation:

Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.

An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.

Answer:

1

Step-by-step explanation:

PODMAS:-

16-3(8-3)²/5

=16-3(5)²/5

=16-3(25)/5

=16-3(5)

=16-15

= 1

Answer:

65

Step-by-step explanation:

=> [tex]\frac{16-3(8-3)^2}{5}[/tex]

=> [tex]\frac{13(5)^2}{5}[/tex]

=> [tex]\frac{13(25)}{5}[/tex]

=> 13 × 5

=> 65

Answer:

a, b, d, e

Step-by-step explanation:

Independent var is the # of gallons: true (generally graphs go in indep, dep format)

liters is a function of gallons: true

l = 3.79g is false, as 1 liter is not 3.79 gallons, but the other way around

as the number of gallons increases, the number of liters increases: true because this function has a positive slope

this is a function because every input has exactly 1 output: true

A function assigns the values. All the statements are true.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The independent variable is the number of gallons.

The statement holds true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable.

B.) Liters are a function of Gallons.

The statement is true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable. And y is a function of x, similarly, liters is the function of gallons.

C.) The equation l = 3.79g represents the table.

The equation is true if we substitue the value of gallons in the place of g, the output will be the value of l. Thus, the equation is true.

[tex]\rm l = 3.79g\\\\l = 3.79(1\ gallons) \rightarrow l=3.79\ liters\\\\l = 3.79(2\ gallons) \rightarrow l=7.58\ liters\\\\l = 3.79(6\ gallons) \rightarrow l=22.74\ liters[/tex]

D.) As the number of gallons increases, the number of litres increases.

The statement holds true and can be observed in the table.

E.) This is a function because every input has exactly one output.

The statement holds true and can be observed in the table.

Hence, all the statements are true.

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Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

3(14 + x) = 57

Step 2: Solve for x

Answer:

x=5

Step-by-step explanation:

First multiply 3(14+x) = 42 + 3x

Now you have the equation 42 + 3x =57

Then subtract 42 from both sides

The equation would be 3x = 15

Divide 3 from each side to get the x value

15/3=5

So therefore your answer would be x = 5

Hope this helps!

Answer:

Step-by-step explanation:

After one year

A=p(1+r/n)^nt

=2000(1+0.03/12)^12*1

=2000(1+0.0025)^12

=2000(1.0025)^12

=2000(1.0304)

=$2060.8

After two-years

A=p(1+r/n)^nt

=2060.8(1+0.03/12)^12*2

=2060.8(1+0.0025)^24

=2060.8(1.0025)^24

=2060.8(1.0618)

=$2188.157

After three years

A=p(1+r/n)^nt

=2188.157(1+0.03/12)^12*3

=2188.157(1+0.0025)^36

=2188.157(1.0025)^36

=2188.157(1.0941)

=$2394.063

Amount in account after one year, two and three years are respectively  $2,060 , $2,121.8 and $2,185.45

Given:

Principal amount = $2,000

Rate of interest = 3% = 0.03

Amount in account after one year

A = P(1+r)ⁿ

A = 2,000(1+0.03)¹

A = 2,000(1.03)¹

A = 2,000(1.03)

A = $2,060

Amount in account after two year

A = P(1+r)ⁿ

A = 2,000(1+0.03)²

A = 2,000(1.03)²

A = 2,000(1.0609)

A = $2,121.8

Amount in account after three year

A = P(1+r)ⁿ

A = 2,000(1+0.03)³

A = 2,000(1.03)³

A = 2,000(1.092727)

A = $2,185.45

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Answer:

230 cm squared

Step-by-step explanation:

Split the shape into a triangle and a rectangle

The area of a triangle is base x height / 2

20 x 9= 180/2= 90             (9 because you do 16-7 to find height of triangle)

Find the area of the rectangle=

7 x 20= 140

Add them up

140+90= 230cm squared

I hope this helped :)

Answer:

230 cm squared

Step-by-step explanation:

Answer:

x ≥ 2

Step-by-step explanation:

Step 1: Isolate x

6x ≥ 12

Step 2: Divide both sides by 6

x ≥ 2

And we have our answer!

Answer:

x ≥ 2

Step-by-step explanation:

6x+1 ≥ 13

Subtracting both sides by 1

6x ≥ 13-1

6x ≥ 12

Dividing both sides by 6

=> x ≥ 2

Step-by-step explanation:

Supplementary angles are two angles whose sum of the measurements is 180°. Complementary angles are two angles whose sum of the measurements is 90°. Once an angle relationship is identified, the relationship can be modeled with an equation that will find an unknown value.

Answer:

The estimated number of times the spinner will land on 3 is 20.

Step-by-step explanation:

The complete question is:

A four-sided spinner is provided. If Tom spins the spinner 80 times then work out an estimate for the number of times the spinner will land on 3.

Solution:

Assume that the four-sided spinner is unbiased.

That is all the four outcomes are equally likely to be selected.

The probability that the spinner lands on any of the four numbers is:

P(1) = P (2) = P (3) = P (4) = 0.25

It is provided that Tom spins the spinner n = 80 times.

The spinner can land on any of the four numbers independently.

The random variable X, defined as the number of times the spinner lands on 3, follows a Binomial distribution with parameters n = 80 and p = 0.25.

The expected value of X is:

[tex]E(X)=np[/tex]

        [tex]=80\times 0.25\\=20[/tex]

Thus, the estimated number of times the spinner will land on 3 is 20.

Answer:

-1/3

Step-by-step explanation:

the slope is always run over rise.

In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.

so that gives us 1/3 but since the line is negative, the slope is also negative

Answer:

DF = 75

FBE = 105

FC = 60

CBE = 45

DAC = 225

ABE = 135

ABF = 120

Answer:

8

Step-by-step explanation:

32 + 72 = 13x

104 = 13x

x = 8

Answer:

8

Step-by-step explanation:

32+72=x(4+9)

32+72=x(13)

104=13x

x=8

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just did it

Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

—

Answer: the y-intercept is (0,4)

Step-by-step explanation:

Answer:

To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.

The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)

We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.

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Answer:

768

Step-by-step explanation:

let C represent cost and w weight, then the equation relating them is

C = kw² ← k is the constant of variation

To find k use the condition w = 20, C = 4800, that is

4800 = k × 20² = 400k ( divide both sides by 400 )

12 = k

C = 12w² ← equation of variation

When w = 8, then

C = 12 × 8² = 12 × 64 = 768

Answer:

There are 8 quarters and 2 nickels

Step-by-step explanation:

4 quarters for every 1 nickel

This means that for every 1 dollar, there are 5 cents

Double the statement above

1.05 x 2 = 2.10

There are 8 quarters and 2 nickels

Answer:

x = 60 and y = 100

Step-by-step explanation:

As shown in the table, you have: x + y = 160

Otherwise, you have x:y = 3:5 or x = 3y/5

=> 3y/5 + y = 160

or 8y/5 = 160

or y/5 = 20

or y = 20*5 = 100

=> x = 160 - y = 160 - 100 = 60

=> x = 60 and y = 100

Answer:

53.8 L

Step-by-step explanation:

We can use the ideal gas formula that relates pressure, volume and temperature:

[tex]\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}[/tex]

where P1 = initial pressure = 1.0 atm

V1 = initial volume = 45 L

T1 = initial temperature = 25°C = 25 + 273 = 298 K

P2 = final pressure = 0.78 atm

V2 = final volume

T2 = final temperature = 5.0°C = 5 + 273 = 278 K

Therefore, the final volume will be:

[tex]\frac{1 * 45}{298} = \frac{0.78 * V_2}{278}\\\\0.151 = 0.002806 V_2\\\\=> V_2 = 0.151 / 0.002806\\\\V_2 = 53.8 L[/tex]

Its volume is 53.8 L

Answer:

-6,6

Step-by-step explanation:

x^2=36

6*6=36

-6*-6=36

Answer: The answer would be A.

The coordinates of the line are (0, 3) and (3, 0) hence, the line will pass through these points so, option A is correct.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

y = negative x + 3

The above phrase can be written as,

y = -x + 3

Calculate the slope as shown below,

Slope = -1

The x-intercept can be calculated as,

0 = -x + 3  (y is zero at the x-axis)

x = 3

The x-intercept can be calculated as,

y = 0 + 3 (y is zero at the x-axis)

y = 3

Mark the coordinates (0, 3) and (3, 0) on the graph and join the points you will get the graph.

The graph is attached below.

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Answer:

Just count the unit squares

Step-by-step explanation:

If you learn this they may call u dumb but if your beginner then count the squares

Answer: 22%

Step-by-step explanation: First, you have to add the percetages of the white and blue towels.

20+58=78

Now, you can simply subtract 78% from 100% to get your answer, 22%

Answer:

250

Step-by-step explanation:

1000/4000

Answer:

Square each side

Subtract 1  from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1  from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5