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2 years ago

Which of the following is the graph of f(x) = x2 + 3x − 4?

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

8 0

The graph of the function for values of x ranging from -6 to +6 is shown below.

<h3>Graphing a Quadratic function</h3>

From the question, we are to graph the given quadratic function

The given quadratic function is

f(x) = x² + 3x − 4

The graph of the function for values of x ranging from -6 to +6 is shown below.

The table of values are

x f(x)

-6 14

-5 16

-4 0

-3 -4

-2 -6

-1 -6

0 -4

1 0

2 6

3 14

4 24

5 36

6 50

Learn more on Graphing a quadratic function here: brainly.com/question/9028052

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Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?

Sonja [21]

Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations $\left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right.$ , you can rewrite them in this form:

$x^2 + 2x-3= x - 1$

Simplify:

$x^2 + 2x-3-x+1=0\\\\x^2+x-2=0$

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

$(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1$

Substitute each value of "x" into any of the original equation to find the values of "y":

$y_1= (-2) - 1=-3\\\\y_2=(1)-1=0$

Then, the solutions are:

(-2,-3) and (1,0)

7 0

3 years ago

Read 2 more answers

Evaluate the given expression if a = 2 and b = -4 <br> a2-b3

IceJOKER [234]

Answer:

Step-by-step explanation:

${a}^{2} - {b}^{3} \\ \\ = {(2)}^{2} - {( - 3)}^{3} \\ \\ = 4 - ( - 27) \\ \\ = 4 + 27 \\ \\ = 31$

5 0

3 years ago

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0

2 years ago

What is the answer to this question? If x=y, then 6x=6y

Sliva [168]

Answer:

This is a true statement. I think that's what you're asking.

Step-by-step explanation:

It is true because if x=y, than 6x=6y because both sides have a 6 and x=y

8 0

3 years ago

The points in the table lie on a line. Find the slope of the line.

Rina8888 [55]

5/2 or 2.5
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2 years ago