Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

2x + 3y = 1470

=> 3y = 1470 -2x

=> y = 1470/3 - 2/3x

=> y = -2/3x + 490

First, I made the 3y alone by subtracting 2x to both sides.

Next, I divided 3 from both sides to make y alone.

Lastly, I got the slope-intercept form.

Slope = the number with which "x" is multiplied.

So, In this equation slope = -2/3

Y-intercept can be found my making the x as 0

=> y = -2/3(0) + 490

=> y = 490

So, the y-intercept is (0,490)

X-Intercept can be found by making y as 0

=> 0 = -2/3x + 490

=> -490 = -2/3x

=> -490 * 3 = -2x

=> -1470 = -2x

=> -1470/2 = -x

=> -735 = -x

=> x = 735

So, x-intercept = (735,0)

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.