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serious [3.7K]
3 years ago
13

For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

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

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

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Solve the equation 2y+4=3(2x-6) for y. Show and justify your steps.
ElenaW [278]
Hello : 
<span>2y+4=3(2x-6)
2y+4 -4 =3(2x-6)-4
2y = 6x-18-4
2y =6x-22
y =(6x-22)/2
y= 3x-11</span>
8 0
3 years ago
Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she rec
VMariaS [17]

Answer:

Jenny will receive $12.51 in change.

Step-by-step explanation:

We need to find the total cost first.

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars she gave to get the amount of change she receives.

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

hope this helped!  

4 0
3 years ago
Pls help and have a great day &lt;333!!!!
nirvana33 [79]

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

5×2=10

the answer is 3/12 and 10/12

8 0
3 years ago
Point B has coordinates ​(2​,1​). The​ x-coordinate of point A is −3. The distance between point A and point B is 13 units. What
leva [86]

Answer:

A = (-5,y)    B = (4,1)  

6 0
3 years ago
Which number line shows the solution to<br> 11x + 14 &lt; –8?
GalinKa [24]

Answer:

D

Step-by-step explanation:

11x + 14 < -8

Cancel the addition by subtracting

11x + 14 - 14 < -8 - 14

11x < -22

11x / 11 < -22/11

x < -2

Therefore, the answer is D

8 0
3 years ago
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