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3 years ago

Which of the following is an x-intercept of the graph of the function shown below?

Mathematics

2 answers:

DaniilM [7]3 years ago

8 0

Answer: Second option.

Step-by-step explanation:

By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:

$f(x)=ax^2+bx+c$

Therefore, the function given is Quadratic. This is:

$f(x)=x^2 + 6x +9$

The steps to find the roots (or the x-intercepts) of the function, are:

1. You must substitute $f(x)=0$ :

$0=x^2 + 6x +9$

2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:

$3+3=6\\3*3=9$

Therefore, you will get a "Double root".

4. So the solution is:

$(x+3)^2=0\\\\x=-3$

Rashid [163]3 years ago

8 0

Answer:

B. x = -3

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x.

x-intercept(s): (-3,0)

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

$8+b=1$

$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

$y=\left(4\right)x+\left(-7\right)$

$y=4x-7$

Therefore, the equation for the linear function will be:

$y=4x-7$

8 0

2 years ago

katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps f

lyudmila [28]

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5 <=====> 135 stamps

1.2 <=====> x stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5 <=====> 135 stamps

1 <=====> x stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

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2 years ago

What is the value of the function when x = −1?<br><br> Is my answer right?

kap26 [50]

The answer would be negative 2

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3 years ago

Solve the problem. Make sure your answer is in simplest form. 3/16 x 4/21 = ?

Irina18 [472]

Answer:

$\frac{1}{28}$