Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)

Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

Answer:

x = -9

Step-by-step explanation:

Applying midsegment theorem, we would have the following:

CB = ½(RT)

CB = x + 19

RT = x + 29

Plug in the values

x + 19 = ½(x + 29)

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

What type of math is this

Step-by-step explanation:

algebra?

Answer:

SOLVE FOR C

c=2−

x

6

​

−

x

2

3

​

,x



=0

SOLVE FOR X

{

x=

2−c

3

​

(

5−c

​

+

3

​

)

​

; x=

2−c

3

​

(−

5−c

​

+

3

​

)

​

,

x=−

2

1

​

,

​

c



=2 and c≤5

c=2

​

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

Answer:

Y-int : 0, 17

AOS: -3

Vertex: -3, 26

Step-by-step explanation:

Using desmos

and then using that to find your information.

Answer:

The y-intercept is 0,17

The axis of symmetry is -3

The vertex is -3, 26

Step-by-step explanation:

I used Desmos, a graph calculator and then I input the given function. I've attached a picture of the graph below:

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ6

Answer:

[tex]a_{n}[/tex] = 9 - 6n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = - 6 , thus

[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n

Answer:

Step-by-step explanation:

5x + 40x + 40x + 31 = x + 7

85x + 31 = x + 7

Bringing like terms on one side

85x - x = 7 - 31

84x = - 24

x = - 24/84 = 2/7

Answer:

its b my guys :)

Step-by-step explanation:

Answer:

It's b

Step-by-step explanation:

hop it help

Answer:

Subtract 7 from 12.

Step-by-step explanation:

Answer:

subtract 7 from both sides.

5x = 5

x = 1

Answer:

c

Step-by-step explanation:

2= 15x-35+20y

3= 4(4x-3)

4= 6(6x-1)

5= 24x-109

6= 7.5x+20y

Answer:

139%

Step-by-step explanation:

divide 89 by 124 to get 1.393

Answer:

= .00963

Step-by-step explanation:

Move the decimal 3 places to the left.

= .00963

Answer:

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} * b^{3}}{cd}[/tex]

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal

Answer:

21

Step-by-step explanation:

First we do the problem inside the (), 3 x p = 9, 6 x r = 12, 9 - 12 = -3.

Now we do the problem outside of the (), -3 x -3 equals 9 because 2 negatives make a positive. Then we add 9 to 12 to get 21 :D

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

Answer:

(46w+135) dollars

Step-by-step explanation:

Given that,

Amount in savings account = (10w+110) dollars

Amount in checking amount = (36w+25) dollars

We need to find an expression that represents the total in both accounts. It is simply the sum of amount in the savings account and checking amount.

Sum = (10w+110) dollars + (36w+25) dollars

= (10w+36w) + (110+25)

= (46w+135) dollars

Hence, the required expression is (46w+135) dollars

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

Answer:

$

Step-by-step explanation:

Answer:

C those who vote for the ballot tend to be from district 2

Answer: 4 feet

Step-by-step explanation:

Noooooo wayssssssss

I wontttttttt

Answer:

You keep the inequality sign.

Step-by-step explanation:

Please mark brainliest.

Answer: you would keep the sign