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dalvyx [7]
2 years ago
12

Graph -5x + 2 > 3y and 3x-4y <3

Mathematics
1 answer:
Sladkaya [172]2 years ago
4 0

Answer:

Below!

Step-by-step explanation:

Solve for  y.

Rewrite in slope-intercept form.

Use the slope-intercept form to find the slope and y-intercept.

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

Graph the line using the slope and the y-intercept, or the points.

You might be interested in
the area of a triangle is 384 square feet. If its base is 8 feet longer than its altitude, find the length of the base and the a
REY [17]
A=1/2bh
b=8+h
A=384

384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24

b+32=0
minus 32
b=-32
false, legnths cannot be negative

b=24
24=8+h
minus 8
16=h

base=24ft
altetude=16ft
6 0
3 years ago
Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
2 years ago
Can someone help me simplify this?
ziro4ka [17]
=(14+3i) - (-12-7i) + (6+2i)
=14 + 3i +12 + 7i + 6 + 2i
=32 + 12i
7 0
3 years ago
The shoes were $175. They are now 10% off. How much are they now?
kondor19780726 [428]

Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.

Hope this helps!

3 0
2 years ago
△ABC is translated up 5 units to form the image ∆A′B′C′.
otez555 [7]

Answer:

A= -2,4 B=2,4 C= 2,5

Step-by-step explanation:

I tried my best even though C doesn't have a solid answer but A and B are correct so go off that.

6 0
2 years ago
Read 2 more answers
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