Factor the expression using the GCF<br> 42+14

eduard

The discriminant explains how many solutions the quadratic function has. It is found using this formula:

$b^2-4ac$

Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions

In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.

A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!

Your answer is B.

7 0

3 years ago

What is the slope of (3,5) and (1,3)

Maksim231197 [3]

(3,5)....x1 = 3 and y1 = 5
(1,3)....x2 = 1 and y2 = 3

slope formula : (y2 - y1) / (x2 - x1)
slope = (3 - 5) / (1 - 3) = -2/-2 = 1 <== slope is 1

7 0

3 years ago

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In how many ways can you rearrange the letters in the word REACH?

Semenov [28]

5x5=25 so 25 different ways

4 0

3 years ago

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NEED THIS DONE ASAP PLEASE ANSWER WITH FULL WORK

Travka [436]

The function of the table is quadratic in nature and is given as follows: y = 2x² -1

<h3>What is a quadratic function?</h3>

A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and a, b, and are not equal to zero.

Given the nature of a quadratic function (y = ax² + bx + c) we pick three pairs of (x, y) from the table as follows:

A) (0, -1)

B) (1, 1)

C) (2, 7)

Then we say:

A) (0, -1) → -1 = a(0)² + b(0) + c =

-1 = c ..................................1

B) (1, 1) → 1 = a(1)² + b(1) + c =

1 = a + b + c.......................2

C) (2, 7) → 7 = a(2)² + b(2) + c

7 = a (4) + 2b + c

7 = 4a + 2b + c .................3

Using elimination and substitution, let us substitute equation 1 into equation 2;

that is

1 = a + b + (-1)

1 = a + b -1
1 + 1 = a + b

2 = a + b................................4

From the above we can also say,

b = 2 - a...................................5

substitute 5 into 3 we have

7 = 4a + 2 (2-a) + (-1)

7 = 4a + 4 - 2a - 1

7 = 4a - 2a + 4 - 1

7 = 2a + 3

7- 3 = 2a

4 = 2a

a = 4/2

a = 2

taking [a = 2] and [c = -1], subsitute these into equation 2

1 = a + b + c

1 = 2 + b + (-1)

1 = 2 + b - 1

1 = 2 - 1 + b

1 = 1 + b

b = 1-1

b= 0

Hence,

a = 2

b = 0

c = -1

Hence:

y = 2 * x² + (0) x + (-1)

y = 2x² -1

Hence the equation for the above table is y = 2x² -1

Learn more about Quadratic Functions:
brainly.com/question/1214333

#SPJ1

8 0

1 year ago

Please help if it’s correct I will give brainliest :)<br><br> (–4v–5)–(v–1)

Nuetrik [128]

Answer:

(-4v-5)-(v-1)= -5v-4

Step-by-step explanation:

hope it helps :D

4 0

2 years ago

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Factor the expression using the GCF 42+14