section 4 algebra nation

Answer:

(3,0)

Step-by-step explanation:

the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.

Answer:

(3,0)  

Step-by-step explanation:

It crosses the x-axis

Answer:

18

Step-by-step explanation:

6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.

Answer:

3.5

Step-by-step explanation:

3/5 in a decimal is 3.5

Answer:

2y-6=x goes with 3rd one which is y=2x+6,

Answer:

1 >>4

2>>1

3>>3

4>>2

Step-by-step explanation:

1 - 2y-6 =x then y=(1/2)x +3

2 - 3y = -6 -x then y = (1/3)x + 2

3 = (1/2)y = 3 +x then y = 2x + 6

4 - 2x + y = 3 then y = -2x + 3

Answer:

210

Step-by-step explanation:

20% is equal to 1/5

5*42 = 210

The movie is 210 minutes.

Answer: 210

5 x 42 =                        210

Answer:

27

Step-by-step explanation:

Using Bedmas we have to calculate the x^2 first

Since we know x=3, x^2 = 3^2 = 9

So then, the value would be 3 x 9 = 27

Hope You Found This Helpful :)

Answer:

No. This is not a function

Step-by-step explanation:

8 and 9 have more than one relationship with another number which describes it as not being a function.

Answer:

a = -27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2/3a - 6 = 12

Step 2: Solve for a

Answer: a = -27

Step-by-step explanation:

-2/3a - 6 = 12

ADD 6 TO BOTH SIDES

-2/3a = 18

MULTIPLY BY 3 TO BOTH SIDES

-2a = 54

now you want to get the a by itself so DIVIDE BY -2

so... a=-27

Answer:

16

Step-by-step explanation:

eighths are 1/8 therefore there are 8 eighths in one,

1 x 2 is 2

8 x 2 is 16

therefore there are 16 eighths in 2

Answer:

Step-by-step explanation:

1 pizza has 8 slices

2 pizzas has 16 slices

i think it is easier to remember like this

Answer:

Echelon form of augmented matrix      [tex]\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right][/tex]

Step-by-step explanation:

We have, linear systems

[tex]2x_1+3x_2-5x_3=b_1[/tex]

[tex]17x_1+2x_2+8x_3=b_2[/tex]

[tex]-x_1+x_2-5x_3=b_3[/tex]

[tex](a)[/tex]  Find the echelon form of the augmented matrix.

Firstly we find the augmented matrix (A) of the given linear system

[tex]A=\left[\begin{matrix} 2&3&-5&b_1\\17&2&8&b_2\\-1&1&-5&b_3\end{matrix}\right][/tex]

Now find the echelon form

[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&\frac{5}{2} &\frac{-15}{2} &b_3+\frac{b_1}{2} \end{matrix}\right]^{R_2\rightarrow \frac{17}{2}R_1, R_3\rightarrow R_3+\frac{1}{2}R_1 }[/tex]

[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right]^{R_2\rightarrow R_3-\frac{5}{6}R_1 }[/tex]

[tex](b)[/tex]  From above echelon form of augmented matrix system is consistent .

So, system has always a solution exist for every condition of [tex]b_1,b_2, b_3[/tex]

[tex](c)[/tex]  Yes, If we take point  [tex](0,1,1)[/tex] then system of linear equation has exist a solution.

[tex](d)[/tex]   yes, if pick randomly [tex]b_1,b_2, b_3[/tex] then always exist a solution of given system of linear equation.

Answer:

It's (4,5)

Step-by-step explanation:

Hope it helps. Bye

Answer:

The function is decreasing from x=1 to x=8

Step-by-step explanation:

Step-by-step explanation:

[tex] \tt{2x + x + x + 2y \times 3y \times y}[/tex]

[tex] \text{Add \: the \: like \: terms : 2x \: + \: x \: + \: x}[/tex]

Like terms are those which have the same base. Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

⤑ [tex] \tt{4x + 2y \times 3y \times y}[/tex]

[tex] \text{Multiply : 2y, \:3y \: and \: y}[/tex]

⤑ [tex] \tt{4x + 6 {y}^{3}} [/tex]

Since , 4x and 6y³ are not like terms , they cannot be added. And we're done !

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : 4x + 6 {y}^{3}}}}} [/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

45 70

Step-by-step explanation:

Answer:

(45, 70)

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

We'd apply some properties of rhombus.

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

Solve for x

10x - 8 + 90 + 68 = 180

10x + 150 = 180

10x = 180 - 150 (subtraction property of equality)

10x = 30

Divide both sides by 10

x = 3

The value of x is 3

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

Now

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

10x + 150 = 180

10x = 30

x = 3

Learn more: https://brainly.com/question/18269454?referrer=searchResults

Step-by-step explanation:

Let x be the number of buses for the trip.

Then (32 - x) is the number of cars for the trip.

We have 27x + 3(32 - x) = 408.

=> 27x + 96 - 3x = 408

=> 24x = 312

=> x = 13

Hence there are 13 buses and (32 - 13) = 19 cars.

Answer:

you make a account then go down and look for somthing you want ro answer

Step-by-step explanation:

hope this helps

Step-by-step explanation:

sorry..by any chance if my answer is incorrect

Answer:

357 minutes

Step-by-step explanation:

I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges.  I then divided the monthly cost of $49.95 by .14 to get 356.79...  So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357).  At 356 minutes the first plan would still be cheaper.

Answer:

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Step-by-step explanation:

Given data is:

5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71

The lower quartile is the first quartile and upper quartile is the third quartile.

A median divides the data set in two equal halves.

Lower quartile also known as first quartile is the middle value in the first half.

The first half is:

5, 12, 17, 23, 28, 31, 37, 41

As the number of values is even, the quartile will be the average of two middle values

[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]

Upper quartile is the average of middle two values in the second half when the number of values is even.

42, 49, 54, 58, 65, 68, 73, 71

[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]

Interquartile range is the difference of third quartile and first quartile

[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]

Hence,

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Answer:

150 will be capped in a minute

Answer:

5500000

Step-by-step explanation:

I just divided-

Answer:

[tex]\displaystyle \sin A=\frac{1}{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.  The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:

[tex]9^2=3^2+(\sqrt{72})^2[/tex]

81=9+72=81

Now we're sure it's a right triangle, we apply the sine formula:

[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

The opposite leg to A is 3, and the hypotenuse is 9, then:

[tex]\displaystyle \sin A=\frac{3}{9}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]

Answer:

33

Step-by-step explanation:

9 out of 24

x out of 88

so by interpolation it's gonna be 33.

Answer:

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)

Step-by-step explanation:

We need to solve the system of equation and find value of x and y

The system of equation given is:

[tex]y = -x + 1\\y = -2x - 2[/tex]

Let:

[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]

We would use substitution method.

Put value of y from eq(1) into eq(2) and find value of x

[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]

So, we get x = -3

Now, for finding value of y, put value of x = -3 into equation 1

[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]

So, we get y=4

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

Answer:

k(3) = 37

Step-by-step explanation:

k(t) = 13t - 2

To find k(3), substitute 3 for t in the expression and evaluate the expression.

k(3) = 13(3) - 2

k(3) = 39 - 2

k(3) = 37

Answer:

-3 on edg

Step-by-step explanation:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}[/tex]

We need to find the solution of the given logarithmic equation. So the given equation is ,

[tex]\bf \implies ln ( x^2-25) = 0 [/tex]

Using the Properties of log we can write this as ,

[tex]\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}[/tex]