What is the value of b2 - 4ac for the following equation? x^2 + 5x + 4 = 0

Answers

Answer 1
Answer: a=1
b=5
c=4 so b^2-4ac=(5)^2-4(1)(4)=25-16=9

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HELP ASAP!! Write the inverse variation function given that y varies inversely with x, and y = 2 when x = 8.

Answers

So, the equation for inverse variation is y=k/x.

So we replace x and y with the numbers given in the problem statement.

2=k/8

Then we

Answer:       y= 16/x

Step-by-step explanation:

Choose the correct graph of the given system of equations.y + 2x = −1
3y − x = 4

graph of two lines that intersect at the point (negative 1, 1)
graph of two lines that intersect at the point (1, 1) < Not
graph of two parallel lines with positive slopes
None of the above

Answers

Answer: Graph of two lines that intersect at the point (negative 1, 1).

Step-by-step explanation:

The given system of linear equations :

y+2x=-1---------(1)\n\n3y-x=4-------------(2)

Multiply equation (1) by 3 , we get

3y+6x=-3-------------(3)

Subtract equation (2) from (3), we get

6x+x=-3-4\n\n 7x=-7

Divide both sides by 7 , we get

x=-1

Put value of x in (1), we get

y+2(-1)=-1\n\n y-2=-1\n\n y=-1+2=1

⇒ both lines are intersecting at (x,y)=(-1,1)

∴  The correct graph of the given system of equations : graph of two lines that intersect at the point (negative 1, 1)

Answer:

(-1,1) One solution

Step-by-step explanation:

Use these steps for the equations:

1)  Rewrite the equation in slope intercept form.

2) Graph the first equation.

3) Graph the second equation.

4) Identify the point of intersection.

Erykah has 6 less than 3 times the number of stamps in her collection that Chris has in his. Let r equal the number of stamps Chris has. Which expression represents the number of stamps Erykah has? (Let r = the number of stamps Chris has)A. 6 - 3r
B. 3r + 6
C. 3r - 6
D. 6 + 3r

Answers

C. 3r-6 is the answer

Answer:

C

Step-by-step explanation:

let r be the number of stamps Chris has then

3times this amount is 3r and less 6 is subtract 6 from 3r, hence

Erykah has 3r - 6 stamps → C


The steps below show the incomplete solution to find the value of y for the equation 4y − 2y − 4 = −1 + 13:Step 1: 4y − 2y − 4 = −1 + 13
Step 2: 4y − 2y − 4 = 12
Step 3: 2y − 4 = 12

Which of these is most likely the next step?

2y = 3
2y = 8
2y = 16
2y = 18

Answers

The next step would be:


2y - 16

Answer:

2y=16 Or the Third Option

Step-by-step explanation:

Trust me because i just got done doing my test and i got the question correctly.

What is the solution of the system? Use elimination.3x - 4y = 9
-3x + 2y = 9

A. (3,9)
B. (-27,9)
C. (-3,-6)
D. (-9,9)

Answers

(one way is to subsitute since both equal 9 you do 3x-4y=-3x+2y then add 3x to both sides 6x-4y=2y add 4y to both sides 6x=6y divide by 6 x=y now subsitute 3x-4x=9 -x=9 multiply -1  x=9  x=y y=-9)


use elimination
add them together to cancel x terms
3x-4y=9
-3x+2y=9  +
0x-2y=18
-2y=18
divide by 2
-y=9
multiply -1
y=-9
subsituete

3x-4y=9
3x-(4 times -9)=9
3x-(-36)=9
3x+36=9
subtract 36 from both sides
3x=-27
divide both sides by 3
x=-9

x=-9
y=-9

the answer is  in (x,y) form
(-9,-9)
the answer is none of them (D is closest)

Answer:

(-9,-9)


Explanation:

The two given equations are:

3x - 4y = 9

-3x + 2y = 9


First step is to add the two equations in order to eliminate the x.

This will give us:

-4y + 2y = 9 + 9

-2y = 18

y = -9


Now, we substitute with the value of y in any of the equations to get x as follows:

3x - 4y = 9

3x - 4(-9) = 9

3x + 36 = 9

3x = -27

x = -9


Hope this helps :)



NEED HELP ASAP! The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?

Answers

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68