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Flauer [41]
4 years ago
9

Solve the equation y=2x^2-x-6 using the quadratic formula show the steps to solving

Mathematics
1 answer:
saul85 [17]4 years ago
7 0

Answer:

x1 = 2 \\ x2 =  -  \frac{3}{2}

Step-by-step explanation:

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{1 +  -  \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)}  \\ x =  \frac{1 +  -  \sqrt{1  + 48} }{4}  \\ x =  \frac{1 +  -  \sqrt{49} }{4}  \\ x =  \frac{1 +  - 7}{4}  \\  \\ x1 =  \frac{1  + 7}{4}  =  \frac{8}{4}  = 2 \\ x2 =  \frac{1 - 7}{4}  =   - \frac{6 }{4}  =  -  \frac{3}{2}

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A few years​ ago, a census bureau reported that​ 67.4% of American families owned their homes. Census data reveal that the owner
STatiana [176]

Answer:

The hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

Step-by-step explanation:

In this case we need to determine whether the city should continue with plan of offering tax breaks to first-time home buyers in order to encourage people to become homeowners.  

It is provided that, a few years ago, a census bureau reported that 67.4% of American families owned their homes.  

But the Census data reveal that the ownership rate in one small city is much lower.

So, to improvise this the city council wants to offer tax breaks to first-time home buyers in order to encourage people to become homeowners.  

They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks.

To determine whether the city council should continue with the plan or not, the hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

4 0
3 years ago
Read 2 more answers
Need help with this thank you 10 points
pochemuha
250 you have to divide, btw im hella wrong

8 0
3 years ago
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x|y 4|28 6| 48|
vazorg [7]
Let's have a look:

2(4)= 8 (this would not work)

5(4)= 20 (this wouldn't work)

7(4)= 28 This does, let's check the others.

7(6)= 42 This does not work.

"D" would be the correct answer.

I hope this helps!
~cupcake
8 0
3 years ago
Read 2 more answers
Find the value of x 2x-1 /3x-7​
fiasKO [112]

Answer:

x=-6

Step-by-step explanation:

2x-1=3x-7

2x-3x=-7+1

x=-6

6 0
3 years ago
Write the slope intercept form of the equation of the line passing through the point (5, -4) and perpendicular to the line y=-4/
n200080 [17]
Y = -4/3x + 5....the slope here is -4/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the original slope and change the sign. So we have -4/3....we flip it and it becomes - 3/4....we change the sign and it becomes 3/4. So the perpendicular line will have a slope of 3/4.

y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub into the formula and find b, the y int
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
-31/4 = b
so ur perpendicular equation is : y = 3/4x + (-31/4) which is written as :
 y = 3/4x - 13/4 <== ur answer

4 0
4 years ago
Read 2 more answers
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