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Vlada [557]
2 years ago
7

What is the discriminant of the quadratic equation 3 – 4x = –6x2? –68 –56 76 88

Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer:

- 56

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac

Given

3 - 4x = - 6x² ( add 6x² to both sides )

6x² - 4x + 3 = 0 ← in standard form

with a = 6, b = - 4 and c = 3, thus

b² - 4ac

= (- 4)² - (4 × 6 × 3) = 16 - 72 = - 56

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Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply. Please ans
timama [110]
<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant. f(x) = x^2 + 6x + 8 6^2 - 4*1*8 36 - 32 = 4 Positive, so f(x) has 2 real roots. g(x) = x^2 + 4x + 8 4^2 - 4*1*8 16 - 32 = -16 Negative, so g(x) does not have any real roots h(x) = x^2 – 12x + 32 -12^2 - 4*1*32 144 - 128 = 16 Positive, so h(x) has 2 real roots. k(x) = x^2 + 4x – 1 4^2 - 4*1*(-1) 16 - (-4) = 20 Positive, so k(x) has 2 real roots. p(x) = 5x^2 + 5x + 4 5^2 - 4*5*4 25 - 80 = -55 Negative, so p(x) does not have any real roots t(x) = x^2 – 2x – 15 -2^2 - 4*1*(-15) 4 - (-60) = 64 Positive, so t(x) has 2 real roots.</span>
4 0
2 years ago
Read 2 more answers
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = 2(3.14)(3.3)(3.3+10)=275.63\ \text{ sq. cm}

<em>[π=3.14]</em>

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \pi r^2h

=(3.14)(3.3)^2(10)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0
2 years ago
Two angles in a triangle measure 33 degrees and 112 degrees. What is the measure of the third angle?
german
35 degrees
Triangles should typically add all up to 180 degrees
3 0
2 years ago
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Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
Tpy6a [65]

Answer:

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

<em>Verify the table 4</em>

For x=1, y=2

so

y/x=2/1=2

For x=2, y=4

so

y/x=4/2=2

For x=3, y=6

so

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

6 0
2 years ago
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Emily wants to earn $100. She picks blueberries and is paid d dollars per bucket. She averages 4 buckets per day, and she has al
Bess [88]

Answer:d

Step-by-step explanation:

8 0
2 years ago
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