The graph of the function f(x) = (x + 2)(x + 6) is shown below.

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.

Answers

Answer 1

Answer:

2nd option,

The function is negative for all read values of x where -6<x<-2

Answer 2

The function f(x) = (x + 2)(x + 6) is a quadratic function, and the function is negative for all real values of x where –6 < x < –2.

What are quadratic functions?

Quadratic functions are functions that have an exponent or degree of 2

The function is given as:

f(x) = (x + 2)(x + 6)

From the graph of the function, the vertex is at (-4,-4) and the x-intercepts are at x = -6 and x = -2

Since the vertex is minimum, then the function is negative for all real values of x where –6 < x < –2.

Read more about x-intercepts at:

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Related Questions

Pls answer correctly thnks
Solve the linear equation by elimination:
-5x+3y=10
2x+5y=-35
And explain

Thanks!

Answers

[tex]-5x+3y = 10~~~~ .....(i)\\\\2x+5y =-35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 35~ \text{ and do (ii) -(i)}\\\\\\\dfrac 35(2x+5y) - (-5x+3y) = \dfrac 35}(-35) - 10\\\\\implies \dfrac{6x}5 +3y + 5x -3y = -21-10 = -31\\\\\implies \dfrac{6x + 25x}5 = -31\\\\\implies 31x = -31 \times 5\\\\\implies x = -5\\\\\text{Substitute }~x=-5~ \text{in equation (ii):}\\\\2(-5) +5y =-35\\\\\implies -10 +5y = -35\\\\\implies 5y = -35 +10 = -25\\\\\implies y = - \dfrac{25}5 = -5[/tex]

[tex]\text{Hence,}~ \textbf{(x,y) = (-5, -5)}[/tex]

Ok done. Thank to me:>

please get this done asap

Answers

Answer:

1)2 2)2y=4  y=2 x=1

Step-by-step explanation:

What is the solution to this question im putting all my points on it. 3(a- 4) + 1 =9-a​

Answers

a=5
why:
first you simplify both sides of the equation.
then you distribute and combine like terms
then you add a to both sides
and then add 11 to both sides
then divide both sides by four
a=5


You have a box with 4 green marbles, 7 blue marbles, and 2 red marbles. What is the probability of picking a green marble?

Answers

Answer:

Step-by-step explanation:

If the picking is random, there are 4 chances out of a possible 13 options.

4/13

4/13
add up the total of marbles and that would be the denominator (13) and the green marbles would be the numerator (4)

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y ?

Answers

Answer:

A. x = 96 and y = 42

Step-by-step explanation:

The required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

Given that,
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y is to be determined.

What is the isosceles triangle?

A triangle with two sides and two congruent angles that are equal each other is called an isosceles triangle.

Here,
For an isosceles triangle,
The measure of the angle opposite to the equal side is equal, So
y = 42°

Now,
The sum of the angles in the triangle° is equal to 180,
x + y + 42 = 180
x + 42 + 42 = 180
x = 96

Thus, the required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.

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Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math
classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?

Answers

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%

Rewrite the expression with rational exponents.

Answers

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12​

Answers

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3(x-(-3))

y+5=3(x+3)

y=3x+9-5

y=3x+4

The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?

Answers

The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.

What is sampling?

Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.

Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.

According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.

Learn more about sampling in: https://brainly.com/question/350477

The line passes through point Q, located at (-1, 2), and point R, located at (1, -2). Which two points determine a line parallel to line Q R ?

Answers

Answer:

i need a picture to see sorry

3 out of 25 cookies are oatmeal . What percent of oatmeal are not oatmeal

Answers

Answer:

88%

Step-by-step explanation:

You can do this pretty easily because percent is just decimals where the decimal is moved 2 units to the right.

Since the base is 25, and 3 of them are oatmeal, you can multiply by 4/4 to get a base of 100, to make this a lot easier.

3 / 25 = x / 100

3 x 4 = 12

12/100 are oatmeal.

Since you don't want the oatmeal, you subtract 100 by 12 to find the remaining of 88.

Answer:

88%

Step-by-step explanation:

1) 25-3=22 not oatmeal

2) proportion: 22/25 = x/100

cross multiply and divide

22x100 = 2200

2200/25 = 88

88%

A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.

What is the unit rate of the relationship?

Enter your answer in the box 100 POINTS WILL MAKE IT BRAINLIEST

Answers

X = 35y gallons per mile

13,22,31,...
Find the 31st term.
Find the 31st term.


Answers

Answer: 283

Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

[tex]13 + 9(n-1)[/tex]

So simply plug in 31 for n to get

[tex]13+9(31-1)[/tex]

[tex]=13+270[/tex]

[tex]=283[/tex]

Answer:

283

Step-by-step explanation:

9x+4=9(31)+4=283

13+9=22

22+9=31

9x

9(1)=9 9+4=13

9x+4

What is the equation of this graphed line?



Enter your answer in slope-intercept form in the box.

Answers

Answer is highlighted in blue. If you have any questions feel free to ask.
We can find the slow by using the formula y2-y1/x2-x1. We have (-4, -6) and (2, 6). 6+6/2+4 is 12/6 which is 2. We need to put this into point slope form before putting this into slope-intercept form.

I will use the coordinates (2, 6).

y - 6 = 2(x - 2)

This gives us y - 6 = 2x - 4. We need to isolate y. This gives us y = 2x + 2.

I decided to use point slope form because it looks like the y-intercept is 2 and something tenths. However, the line is just off.

The answer is: y = 2x + 2

2.4(3q+6.1)

HELP MEE!!!

Answers

Answer:

7.2q + 14.64

Step-by-step explanation:

Distribute 2.4 to what is inside of the parentheses and you will find this answer.

I hope this helps!!

Answer:

7.2q + 14.64

Step-by-step explanation:

Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%

Answers

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

You need to graph the linear function plz help hurry

Answers

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

12. Write a
multiplication number sentence that
matches the shading on the grid.
Remember,
each small square
is 1 hundredth.
I am giving away brainest

Answers

Answer:

the answer would be 5×1k=b

what is 2/3 times 3/7

Answers

Answer: 2/3 time 3/7 it would be 6/21

Step-by-step explanation: because you would multiply bot the numerator and denominater.

on what interval (s) are f(x) = x3 2x²+x+6 decreasing?

Answers

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

If you are talking about 2x^2 + x + 6 then the intervals would be decreasing based on where it is based on the vertex,
-b/2a = -1/2, plug -1/2 in 1/2 -1/2 + 6 = 6, vertex = (-1/2, 6) so the equation is decreasing (infinity) > x > -1/2


Solve for x: 2x + 12= 18 (5 points)

Answers

Answer:

X = 3

Step-by-step explanation:

2x = 12 = 18

x +6 = 9

x = 9-6

x = 3

Hope its right <3 Like if it helped

9⁴ means _________ is multiplied by itself four times (30 points)​

Answers

Answer:

9

Step-by-step explanation:

This is an example of an exponent. 9^4 means 9 is raised to itself 4 times.

If we break it down, it will look like: 9x9x9x9, which is 6561.

9⁴ =》9 multiplied by itself four times.

9⁴ = 9 × 9 × 9 × 9

9⁴ = 6561

_____

Hope it helps ⚜

Question 2 of 10
What is the y-intercept of the line given by the equation y = 5x + 16?
Answer here
SUBNI

Answers

Hi!

This equation is written in ' y = mx + b ' form, where m is the slope, and b is the y-intercept.

Therefore, looking at this equation, we can see that 16 is the y-intercept.

Hope this helps! Let me know if you need any other help :D

Answer:

the y intercept is (0,16)

Step-by-step explanation:

In an equation like this y= 5x+16.  The number next to x would be the slope and the number after the x would be the y intercept.  

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

Answer:

144

Step-by-step explanation:

Mark as Brainliest Answer

someoneplease help me
GIVING BRAINLIST TO FIRST RIGHT ANSWER
A. (4,-2)
B. (0,1)
C. (1,0)
D. (-1,0)

Answers

Answer:

C (1,0)

Step-by-step explanation:

Answer:

C. (1,0)

Step-by-step explanation:

When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).

What term best describes the graph of y=-15

Answers

Step-by-step explanation:

x,y = 0,-15

for another you have to draw Cartesian plane

Answer:

The answer is:- Zero slope

Step-by-step explanation:

Hope it helps you ✌️

NEED HELP RELATIONSHIP IN TRIANGLES

Answers

We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9

=> NT = 4x - 17 = 4.9 - 17 = 19

Δ RNT have:

[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]

Ok done. Thank to me :>

Which of the following is most likely the next step in the series?

Answers

Answer:

The answer is C

Step-by-step explanation:

(I'm not completely sure)

Suzanne gets 7% commission on all of her sales. If she makes a sale of $350,000, how much commission will she make?

Answers

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green? Enter your answer in the box.

Answers

19 times Answer:

Step-by-step explanation:

The required number of panels that were painted to be green is 19.


Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Pattern =  "orange, yellow, pink, green, purple."

                      1               2        3       4            5
Total number of panels = 98
Number of panels that were painted green,
= 98 / 5
= 19 + 3/5
In the 19 pattern, there are 19 panels that is green,
While in the remaining 3 panels consist of orange, yellow, and pink.

Thus, the required number of panels that were painted to be green is 19.

Learn more about simplification here:

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