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2 years ago

The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.

Mathematics

1 answer:

Lisa [10]2 years ago

4 0

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

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Trisha is going to make a border of icing around a circular cake with a diameter of 8 inches which of the following represents t

nadya68 [22]

Answer:

B. 25.12

Step-by-step explanation:

We are simply finding the perimeter of the cake.

Perimeter: π × diameter

Perimeter: 3.14 × 8

Perimeter: 25.12 inches

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2 years ago

Please Answer due today 100 points

Semmy [17]

Answer:

Figure 2 and figure 4

Yes I agree with Tyler

C
D

Step-by-step explanation:

Figures 2 and 4 are not slanted which changes the original form, unlike the others.

I agree with Tyler because the size is not only smaller but it says that it was scaled by 2 more centimeters than the original figure.

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1 year ago

Read 2 more answers

How to solve this Algebra question?

PIT_PIT [208]

Slope formula: $\frac{y_2-y_1}{x_2-x_1}$

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: $\frac{3k-4-k}{5-(-2)}=8$

Next, combine like terms: $\frac{2k-4}{7}=8$

Next, multiply both sides by 7: $2k-4=56$

Next, add 4 onto both sides of the equation: $2k=60$

Lastly, divide both sides by 2 and <u>your answer will be $k=30$ </u>

7 0

2 years ago

PLS HELP ME ASAP FOR 1, 2, 3, and 4 (SHOW WORK!!) + LOTS OF POINTS!!

Lera25 [3.4K]

1/2in = 16 mi
2 3/4 in without whole numbers [(denominator ×whole) + numerator] / denominator
4×2 = 8 +3 = 11/4
Find common denominator for 1/2 and 11/4 (common D Is 4)
Multiply 1/2 by 2/2
2/4 in = 16 mi divide this by 2
2/4 ×1/2 = 1/4
16 /2 = 8
1/4 = 8
1/4 goes into 11/4 11 times
Multiply 8 times 11
88 miles (D)

End zone to end zone is = length so his scale is 6 in and in real life it is 360 ft
To find scale divide 360 by 6
1in = 60 ft (B)

160 ft wide
(divide 160 by 60 ft ) fraction
160/60 is a fraction now simplify
16/6
Common factors of both numbers is 2
Simplify by 2
8/3
Make into whole number fraction
3 goes into 8 two times (2×3=6)(2 becomes whole number) while there's is 2 left over( 8 -6=2) (becoming the numerator)
2 2/3 in (B)

120 ft long
80 ft wide

24 in is scale of "long"
Divide 120 by 24
120÷24=5
So 5in in scale equals 1ft in real life
To find width in scale divide 80 by 5
80/5= 16in (A)

If you have any trouble understanding feel free to let me know I will try to explain as best as I can :)

5 0

3 years ago

Please answer this. kevin buys 4 chairs. each cir cost $13.50. the sales taxs is 6.5%.

MatroZZZ [7]

The answer would be $57.51

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2 years ago