If
(
x
=
5
)
and
y
=
10
, which expression has the greatest value?

Answer:

[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The points are (3,5) and (-2,1):

[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]

The equation is now:

[tex]\displaystyle y=\frac{4}{5}x+b[/tex]

To calculate b, we use any of the given points and solve for b. Use (3,5):

[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]

Operate:

[tex]\displaystyle 5=\frac{12}{5}+b[/tex]

Solve:

[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]

The required equation of the line is:

[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]

Answer:

It is Distributed property and False

Step-by-step explanation:

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

Stay curious!

Answer:

They must pay 4% interest rate. Hope I am able to help.

Step-by-step explanation:

Answer: 209.48

Step-by-step explanation:

Answer:

the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation

Step-by-step explanation:

Answer:

Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.

Step-by-step explanation:

hope this helps *_*

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

Answer:

so am i

Step-by-step explanation:

Answer:

y - 8= 3(x+8) in slope intercept form is y = 3x + 32

Answer:

y= 3x-16

Step-by-step explanation:

Answer:

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles

Answer:

-5/10 equals to 5/-10 because even though the numerator/denominator is negative, when you simplify -5/10 or 5/-10, it give you -1/2 and 1/-2.

Step-by-step explanation:

Answer:

=28n2−27n

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's 60 5+5+5+5+5+5+5+5+5+5+5+5

Answer:

C

Step-by-step explanation:

first, let's find the midpoint of line TR.

((x1+x2)/2, (y1+y2)/2)

(4+8)/2= x-coordinate= 6

(-4+-4)/2=y-coordinate=-4

(6,-4) is the point of A

now, use the distance formula for U (5,-6) and A (6,-4)

d= sqrt (x2-x1)^2 + (y2-y1)^2

d= sqrt (6-5)^2 + (-4-(-6))^2

d= sqrt (1+4)

d= sqrt 5

C. sqrt 5

Answer:

No, it has infinitely many solutions.

Step-by-step explanation:

Answer:

342,000,000 miles difference

Step-by-step explanation:

jupiter: 484,000,000

mars: 142,000,000

484,000,000 - 142,000,000 = 342,000,000

I can not really see the question. Maybe take another photo?? That way, I can help better.

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

Answer:

The 15th day

Step-by-step explanation:

Violin Lessons - 3, 6, 9, 12, 15

Singing Lessons - 5, 10, 15

Landen will have violin and singing lessons on the fifteenth day.

Hope this helped! :)

Answer:

The quotient will be less than 34

Step-by-step explanation:

When we talk of quotient, we are simply referring to the result of division.

Now, let’s divide 78 by 34, our answer is 2 10/34. The answer is slightly above two which in all terms is really less than 34.

So the correct answer to our question is that the quotient will be less than 34

Answer:

see explanation

Step-by-step explanation:

(28)

2x³ - 32x ← factor out 2x from each term

= 2x(x² - 16) ← difference of squares

= 2x(x - 4)(x + 4)

(29)

3x² + 6x + 3 ← factor out 3 from each term

= 3(x² + 2x + 1) ← perfect square

= 3(x + 1)²

(30)

[tex]x^{4}[/tex] - 81 ← difference of squares

= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares

= (x - 3)(x + 3)(x² + 9)

(31)

5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term

= 5x³(x² - 3x + 2)

= 5x³(x - 1)(x - 2)

Answer:  7776

........................

Answer:

p=(t-s)/r

Step-by-step explanation:

This is an equation so all we have to do is solve backwards step by step:

rp+s=t

rp+s-s=t-s

rp/r=(t-s)/r

p=(t-s)/r

Answer:

Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!

A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.

-All sides are equal

-Opposite sides parallel

~I hope I helped you! :)~

Answer: -pi/6

Step-by-step explanation:

it's correct.

Answer

-pi/6

Step-by-step explanation:

got it on edge

Answer:

21.27 cm^2

Step-by-step explanation:

Pentru a calcula aria bazei, putem folosi formula lui Heron Matematic aceasta este;

A = √s (s-a) (s-b) (s-c)

Unde s = (a + b + c) / 2

a, b, c se referă la laturile triunghiului

A = (7 + 7 + 7) / 2 = 21/2 = 10,5

A = √10,5 (10,5-7) (10,5-7) (10,5-7)

A = √10,5 (3,5) (3,5) (3,5)

A = √450.1875

A = 21.2176 cm ^ 2, care este de aproximativ

21.22 cm ^ 2