What algebraic expression models the word phrase three fewer than the sum of c and d?

Mathematics

2 answers:

mestny [16]4 years ago

6 0

Sum means to add so,
(c + d) - 3
The parenthesis are just there to keep c and d together.

Serjik [45]4 years ago

4 0

" the sum " means add

(c + d) - 3 <== ur expression

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Find the zeroes of the polynomial and verify the relationship between the zeroes and coefficients

soldier1979 [14.2K]

Answer: Step-by-step explanation:

1. Given f(x) = 6x2 – 7x – 3

To find the zeros

Let us put f(x) = 0

⇒ 6x2 – 7x – 3 = 0

⇒ 6x2 – 9x + 2x – 3 = 0

⇒ 3x(2x – 3) + 1(2x – 3) = 0

⇒ (2x – 3)(3x + 1) = 0

⇒ 2x – 3 = 0 Or 3x + 1 = 0

x = 3/2 x = -1/3

It gives us 2 zeros, for x = 3/2 and x = -1/3

Hence, the zeros of the quadratic equation are 3/2 and -1/3.

Now, for verification

Sum of zeros = – coefficient of x / coefficient of x2

3/2 + (-1/3) = – (-7) / 6 7/6 = 7/6

Product of roots = constant / coefficient of x2

3/2 x (-1/3) = (-3) / 6 -1/2 = -1/2

Therefore, the relationship between zeros and their coefficients is verified.

2.Let f(x) = 3x2 ˗ x ˗ 4 = 0

3x2 ˗ 4x + 3x ˗ 4 = 0

⇒ x(3x ˗ 4) + 1 (3x ˗ 4) = 0

⇒ (3x ˗ 4) (x + 1) = 0

To find the zeroes

(3x ˗ 4) = 0 or (x + 1) = 0

x = 4/3 or x=-1

So, the zeroes of f(x) are 4/3 and x=-1

Again, Sum of zeroes = 4/3 + (-1) = 1/3 = -b/a =

=(-Coefficient of x)/(Cofficient of x2)

Product of zeroes = 4/3 x (-1) = -4/3 = c/a=

= Constant term / Coefficient of x2

Therefore, the relationship between zeros

3 0

3 years ago

Answer for 7 and 8 please and explanation if possible

ASHA 777 [7]

7. To find the area of a triangle you use base x height /2. so the base is 10 and the height is 25 so you do 10 x 25 first which is 250 then divide by 2 which gives you 125 so the area of each pennant is 125 cm^2 ( the ^2 means squared)

8. To find the area of a square you do length x Width. Since for a square all sides are the same the length AND the width are both 450cm. Now you just do 450 x 450 which gives you 202,500 cm^2. BUT it asks for an answer written in SQUARE METRES so you have to change 450cm to metres making it 4.5 metres x 4.5 metres = 20.25 SO THE REAL ANSWER IS 20.25 M^2

Hope this helps you out!

4 0

3 years ago

Read 2 more answers

What is 0.49 divided by 2? show your work.

olga55 [171]

.245 hope this helps!! :)