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3 years ago

-3x^2+6x+1=4 find the discriminant of each quadratic equation then state the number and type solutions

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

8 0

Answer:

Discriminant = 0; 1 real root

Step-by-step explanation:

-3x²+6x+1=4 (subtract 4 from each side)

-3x²+6x+1 - 4 = 0

-3x²+6x-3 = 0 (factorize 3 out of the left side)

3(-x²+2x-1) = 0

-x²+2x-1 = 0

Recall that for a quadratic equation in the form:

Ax² + Bx + C = 0, the discriminant = B²-4AC

in our case, A = -1, B = 2, = -1

discriminant = B²-4AC

= 2² - 4 (-1)(-1)

= 4 - 4(1)

= 4 - 4

= 0

Recall that when discriminant = 0, the quadratic equation has 1 real root. (answer)

ipn [44]3 years ago

3 0

Answer:

S={( 1 )}

Step-by-step explanation:

-3x²+6x+1=4

-3x²+6x+1-4=0

-3x²+6x-3=0

∆=b²-4.a.c

∆=(6)²-4.(-3).(-3)

∆=36-36

∆=0

x'=x"=-b/2a=-(+6)/2.(-3)=-6/-6=1

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(b) How much the selling price should be fixed for pulse bought for Rs.70 per kg. to earn a profit of Rs.6 after allowing a 5 %

Mama L [17]

Answer:

Rs. 80

Step-by-step explanation:

Given that :

Purchase price = 70

Profit = 6

Discount = 5%

Let selling price = x

Selling price * (1 - discount) = (purchase price + profit)

x * (1 - 5%) = (70 + 6)

x * (1 - 0.05) = 76

x * 0.95 = 76

0.95x = 76

x = 76 / 0.95

x = 80

Hence, selling price = Rs. 80

3 0

2 years ago

The inequality of the graph

fiasKO [112]

Answer:

$\displaystyle y > 4x - 2$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -2],$ you do $\displaystyle \frac{rise}{run}$ by either moving four blocks south over one block west or four blocks north over one block east [west and south are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be less than and greater than since this is a dashed line graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

Greater than

$\displaystyle 0 > 4[0] - 2 → 0 > -2$ ☑

Less than

$\displaystyle 0 < 4[0] - 2 → 0 ≮ -2$

This graph is shaded in the portion of the origin, so you would choose the greater than inequality symbol to get this inequality:

$\displaystyle y > 4x - 2$

I am joyous to assist you anytime.

3 0

3 years ago

A small juice company spends $1200 per day on business expenses plus $1.10 per bottle of juice them make. They charge $2.50 for

Greeley [361]

Cost price per bottle of juice = $1.10
Selling price per bottle of juice = $2.50
Profit per bottle of juice = $2.50 - $1.10 = $ 1.40
Let B be the number of bottles needed to sell in one day in order to equal its daily costs.
$1200 = $1.40B
857.14285714285714 = B
858 = B (round off to the nearest bottle)

The company must sell 858 bottles of juice in one day in order to equal its daily cost.

Hope this helps! =)

5 0

2 years ago

A farmer wants to build a rectangular garden 10ft long and 6ft wide. How many feet of fencing should he buy?

Lana71 [14]

He should buy 32 feet of fencing. I got 32 by just finding the perimeter or in other words adding 10+10+6+6 which equal 32. You would NOT do area or 10×6 because that would include that land within the fenced area and who wants 60 feet of fencing that you can't put anything in?

Good luck, hope that helped.

6 0

2 years ago

Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.

Law Incorporation [45]

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

8 0

2 years ago

Read 2 more answers