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lions [1.4K]
3 years ago
15

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

ANSWER

2 \frac{1}{4}

EXPLANATION

We want to find the constant that must be added to

{x}^{2}  - 3x

to form a perfect square.

Comparing the given expression to

a{x}^{2}  + bx + c

we have

a=1 , b=-3 , and c=0.

We need to add

{( \frac{b}{2a} })^{2}

We substitute the values to get,

{( \frac{ - 3}{2(1)} })^{2}  =  \frac{9}{4}

We change this to mix numbers to get,

2 \frac{1}{4}

The last choice is correct.

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The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution.
Alexeev081 [22]

Answer:

x=-1 or x=5

Step-by-step explanation:

let the number be 'x'.

According to the statement given above:

x^2-5=4x

or

x^2-4x-5=0

Factorizing the quadratic equation for 'x'

x^2+x-5x-5=0

Taking common from the equation:

x(x+1)-5(x+1)=0\\(x+1)(x-5)=0\\(x+1)=0, (x-5)=0\\x=-1,x=5

The solution of the equation is x=-1 or x=5

8 0
3 years ago
Read 2 more answers
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each
liubo4ka [24]

Answer:

C. Greg weighs 180 pounds, and Justin weighs 165 pounds

Step-by-step explanation:

let G be the weight of Greg and J be the weight of Justin

G -15=J

G/2 +75=J

G =J+15       (1)

G+150=2J.  (2)

If We substitute G by J+15 in equation (2) we will get:

G =J+15

J+15+150=2J

G =J+15

J+15+150=2J

G =J+15

J+165=2J

then J=165 and G=165+15=180

6 0
2 years ago
HURRY GUYS
Citrus2011 [14]
She should try to collect 75 each week
5 0
2 years ago
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is als
cricket20 [7]

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

{p}^{2}  >  {p}^{2} \:   \: and \:  \: p  {1}^{2}  -  \: p {2}^{2}  \:  <  \frac{1}{3}

Step-by-step explanation:

HOPE ITS HELP

4 0
2 years ago
If the measure of an angle 38 , find the measure of its complement
Darya [45]
If you’re finding the measure of its complement, the sum of both angles will always be 90*

x+38 = 90
-38 | -38

x = 52

the measure of its complement is 52*
5 0
3 years ago
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