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IgorLugansk [536]
3 years ago
9

What is the discriminant of the quadratic equation 5x^2-8x+4=0?

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0
The discriminant of the quadratic equation 5x^2-8x+4=0 is -16
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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = \frac{y}{20} ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

    = 14.14^{2} + (40+14.14)^{2}

     = 3131.08

z^{2} = \sqrt{3131.08}

z = 55.96 miles

6 0
4 years ago
Kareem wrote the values shown below.
sweet [91]

Answer:  Option 'B' is correct.

Step-by-step explanation:

Since we have given that

[3.2] [2.7] [2.9] [4.8]

Since they are all of greatest integer functions i.e.

f(x) = [x]

It is known as greatest integer function whose value is always less than or equal to 'x'.

So, [3.2]=3

[2.7]=2

[2.9]=2

[4.8]=4

so, we can see that [2.7] and [2.9] is a equivalent pair.

Hence, Option 'B' is correct.

4 0
3 years ago
Read 2 more answers
Ramon earns $1,735 each month and pays $53.10 on electricity. To the nearest tenth of a percent, what perfect of ramons earnings
Alenkinab [10]

Answer:

\boxed{3.1 \, \%}

Step-by-step explanation:

The formula for calculating percentage is

\text{Percentage} = \dfrac{\text{Part}}{\text{Whole}} \times 100 \, \%

The "part" is the electricity payment.

The "whole" is Ramon's earnings.

\begin{array}{rcl}\text{\% of earnings} & = & \dfrac{53.10}{1735} \times 100 \, \% \\\\& = & \mathbf{3.1 \, \%}\\\end{array}\\\boxed{\mathbf{3.1 \, \%}} \text{ of Ramon's earnings are on electricity}

5 0
3 years ago
Simplify fully: (9(x+7)^2)/(3(x-1)(x+7))
olga55 [171]

Step-by-step explanation:

9(x + 7)² divided by 3(x - 1)(x + 7)

= 3(x + 7)/(x - 1).

5 0
3 years ago
A baby bottle holds 8 fluid ounces of milk. How many baby bottles could you fill with 1 quart of milk?
Wewaii [24]

Answer: 4

Step-by-step explanation:

If you convert you should get 4.

7 0
3 years ago
Read 2 more answers
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