−6∣x−2∣−9=4∣x−2∣+5 what are the solutions of the following equations?

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?

Lady_Fox [76]

Infinitely many solutions. Since your slope and Y axis values are the same on both sides no matter what you fill in for x your answer will be true.

3 0

2 years ago

How do you find the y-intercept and the slope for number 11

Sophie [7]

The first step is to find the slope. Use the slope formula

m = (y2-y1)/(x2-x1)

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3

The y intercept is 3

-----------------------------------

m = -2 is the slope
b = 3 is the y intercept

Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points

6 0

3 years ago

Solve for b –1 + 2b − 9 = 10b − 10

Over [174]

Answer:

The answer is B= 0

I'm positive

6 0

2 years ago

I need help on this how do you find the third measure

Sliva [168]

I believe you have to add both numbers and subtract it by 180.
Example on number 1.
45+55=89
180-89=91

5 0

3 years ago

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, s

WITCHER [35]

Answer:

51 salted pretzels were sold.

Step-by-step explanation:

Step 1: Write the data

Number of Ice cream cones sold: x

Cost of ice cream cones sold: 3x

Number of Salted pretzels sold: y

Cost of salted pretzels sold: 2.5y

Number of tacos sold: z

Cost of tacos sold: 2z

Step 1: Make equation 1

Total money made: $359.5

Money made from tacos: $70

Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5

Equation 1:

3x + 2.5y = 289.5

Step 3: Make equation 2

Cost per tacos: $2

Total number of tacos sold: z

Money made from total tacos: $70

2z = 70

z = 35 tacos were sold

Total number of ice cream cones and salted pretzels sold: 140-35 = 105

Equation 2:

x + y = 105

Step 4: Find the unknown value by substitution

3x + 2.5y = 289.5

x + y = 105

Find x in terms of y from equation 2

x + y = 105

x = 105 - y

Substitute x in equation 1

3x + 2.5y = 289.5

3(105-y) + 2.5y = 289.5

315 - 3y + 2.5y = 289.5

0.5y = 25.5

y = 51

y represents the number of salted pretzels sold. Therefore, 51 salted pretzels were sold.

4 0

2 years ago