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Murljashka [212]
4 years ago
15

8x^2+18x-5=0 find the discriminant

Mathematics
1 answer:
Shalnov [3]4 years ago
7 0
The formula for the discriminant is the square root of b^2 - 4ac

8x^2+18x-5= 0

a = 8, b=18, c= -5

Square root of 324 +160

Square root of 484 = 22                The discriminant is 22


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Factor completely 4xy − 7x + 20y − 35.
kati45 [8]

Answer:

A) (x+5)(4y-7)

Step-by-step explanation:

Given expression:

4xy-7x+20y-35

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

(4xy-7x)+(20y-35)

We will factor the G.C.F of the terms in the pairs.

G.C.F. of 4xy and 7x can be given as:

4xy=4.x.y

-7x=7.x

Thus, G.C.F. = x

G.C.F. of 20y and 35 can be given as:

20y=2\times 2 \times 5.y

35=5\times 7

Thus, G.C.F. = 5

The expression after factoring the G.C.F. pairs is given as:

x(4y-7)+5(4y-7)

Taking G.C.F. of the whole expression as (4y-7) is a common term.

(x+5)(4y-7)

The expression is completely factored.

3 0
3 years ago
Read 2 more answers
Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 3 x intercepts at x = -2 and x = -6 Horizo
dlinn [17]

Answer:

\frac{7(x+2)(x+6)}{(x+1)(x-3)}

Step-by-step explanation:

The vertical asymptotes need to be in the denominator. They become VA's when that small expression value equals zero.

x=-2 will become (x+2)

and x=-6 will become (x+6)

The x intercepts will be in the numerator.

x=-1 will go with (x+1) and x=3 will go with (x-3)

The horizontal A must be the quotient of the coefficient of the numerator and denominator, since both the top and bottom have the same power.

To make the quotient 7, we place a seven in the numerator so 7/1=7.

6 0
3 years ago
Write the improper fraction 62/9 as a mixed number.
goldenfox [79]

Answer:

62/9

Step-by-step explanation:

6 0
3 years ago
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Please I need help with this
Bad White [126]

Step-by-step explanation:

The two triangles are similar so

BC=BC

AB=AB

AC=AC

1.)5z=20 (÷b.s by 5)

z=4

2.)8=2x+2

8-2=2x

6=2x (÷b.s by 2)

x=3

3.)3y-3=15

3y=15+3

3y=18. (÷ b.s by 3)

y=6

4 0
3 years ago
This figure is a right triangular prism. The sides of its triangular bases are each 5 cm and the height of the triangular base i
lapo4ka [179]

Answer:

86cm³

Step-by-step explanation:

The area of the triangle is 1/2(b)(h)*2.  The 1/2 and 2 cancel out as we’re doubling the small triangle to make the big triangle.  Then you just multiply it times the length of the prism.  So the formula ends up:

2.5*4.3*8=86cm³

5 0
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