The graph of the function f(x) = (x + 2)(x + 6) is shown
below.
Which statement about the function is true?
O The function is positive for all real values of x where
x>-4.
6
14-
O 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 orx > -3.
O The function is negative for all real values of x where
x < -2.
24
-2
2
4
6
х
4

Answers

Answer 1

Answer:

The function is negative for all real values of x where

-6 < x < -2.

Step-by-step explanation:

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

 x + 2 = 0    or   x + 6 = 0

x = -2     or x = -6

 After graphing the function is negative between -6 < x < -2

Answer 2

The true statement about the graph is (a) The function is negative for all real values of x where -6 < x < -2.

The equation of the function is given as:

[tex]f(x) = (x + 6)(x + 2)[/tex]

From the graph, we have the following highlights

The values of the function decreases from negative infinity till x = -4The values of the function increases from x = -4The values of the function is negative for x = -6 to x = -2

The above means that:

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

Hence, the true statement about the graph is (a)

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Related Questions

a store pays $26 for a lamp. The store marks up the price by 40%. What is the amount of the markup

Answers

Answer:

$10.4

Step-by-step explanation:

mark me brainliest if u are kind

What is the slope of the line shown below?

A. 3/2
B. 2/3
C. -3/2
D. -2/3

Answers

9514 1404 393

Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?

Both are equally valid, they just have different preferences.

James’s, because he has more realistic expectations.

Jon’s, because he will have a higher quality of life

It depends on their career goals and family plans.

Answers

Answer:

Jon’s, because he will have a higher quality of life

Step-by-step explanation:

James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.

Answer:

Step-by-step explanation:

James

Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT​

Answers

Answer:

C

Step-by-step explanation:

known by checking all the answers for chooses

how would someone simplify 2√12xy^2

Answers

My friends the answer is:Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers. 4 y √ 3 x

I NEED HELP ASAP NO LINKS

Answers

Answer:

d =  y = 4.25x

correct answer i would say.

Step-by-step explanation:

Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as  

4.25 is the cost for 1 pound of Cheddar cheese

Let the cost of the equation be y as required from the question.

y = cost of the cheddar cheese

x is the weight value in pounds of the Cheddar cheese.

The equation can be best represented as

y = 4.25x

In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.

hope this helped!

mark me brainliest :D

can somebody help me plssssss

Answers

Answer:

They are equal, so =

Step-by-step explanation:

We know that one-half is .50.  3/2 is an improper fraction and when we solve to a decimal, we get 1.5.  

The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?

Answers

Answer: C.

Step-by-step explanation:

Total number of plants in Robert's garden = 8 + 4 + 16 + 22

= 50

Number of tomato plants in Robert's garden = 8

Ratio of total number of plants to the number of tomato plants = 50 : 8

Simplify

50 : 8 = 25:4

Write an equation in slope-intercept form of the line shown.

Answers

The equation should be y= 2/-8x

What the difference between Infinity and undefined​

Answers

Step-by-step explanation:

Infinity means that it has no end to something

And undefined means something can't be defined

Answer:

Undefined means, it is impossible to solve.

Infinity means, it is without bound.

Solve 25- (6-) A. -31 B-20 C.20 D. 31

Answers

Answer:

The answer is 31

Explanation:

25 - (-6) = 31

we have 25 - (-6) = 25 + 6 = 31

so the answer is D

ok done. thank to me :>

I need the answers to thisssss?

Answers

Answer:

Step-by-step explanation:

A. Zero Slope: since it is horizontal

B. Positive Slope: since it goes up and to the right

C. Undefined Slope: since it is vertical

D. Negative Slope: since it goes down and to the left

Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year​

Answers

Answer:

110.00

Step-by-step explanation:

someone help please!!

Answers

Answer:

a - 145

b - 35

c - 145

d - 70

e - 70

f - 110

g - 55

h - 125

i - 55

j - 50

k - 50

l - 130

m - 50

n - 80

o - 50

p - 23

q - 89

r - 68

s - 157

t - 112

u - 48

v - 132

w - 132

x - 48

y - 48

z - 132

A - 48

B - 94

C - 86

D - 94

E - 47

F - 133

In 1950, the group spent 23% of their budget on food. This has decreased
at an average rate of approximately 0.27% per year since then. Find a
linear function in slope-intercept form that models the percentage of total
spending, p(x), by the group x years after 1950.

Answers

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

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Explain please :)

A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?

Answers

Answer:

3.49 ft

Step-by-step explanation:

y = 0.125x

y = –16x^2 + 56x

Set the equations equal since the height of the hill

and the height of the ball must be the same

–16x^2 + 56x = 0.125x

Subtract 0.125x from both sides

–16x^2 + 55.875x = 0

Factor out x

x(–16x + 55.875) = 0

From the zero product rule

x = 0

and

–16x + 55.875 = 0

–16x = –55.875

Divide both sides by –16

x = 3.4921875

Diiference in height

3.4921875 - 0 = 3.4921875

3.49 ft

Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)

Answers

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

I need help as soon as possible please!!!!

Answers

Answer:

Which grade math is this? I haven't learned it

A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?

Answers

Answer:

23

Step-by-step explanation:

l

l

l

l

ll

ll

l

l

l

What is the equation of this line?

Answers

Answer:

y = x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then

y = x ← equation of line

The answer to the question is Y=X

Is 3 the coefficient of s/3?

Answers

I think that yes it is I THINK but yeah mostly I think it’s yes

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

s/3

This can be written as (1/3)s.

The coefficients of an equation are the non-zero values along with the variables.

Example:

ax² + bx + 3

The coefficients of this equation are a, and b.

The coefficient for the expression s/3  is 1/3.

Thus,

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

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What does cross-sectional mean

Answers

Answer:

exposed by making a straight cut through a solid form, especially at right angles to an axis.

"the cross-sectional area of the wood"

or

constituting a typical or representative sample of a larger group.

"a cross-sectional survey of high school students"

ig

hsdfhedrjeryeruerueru

Answers

what is that? Or I am not understanding

Uhh well that’s interesting

How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other. ​

Answers

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.

Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?

[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]

now, if we were to round that up to whole miles, it'd be only 117.

Solve the system of linear equations using any method you choose:
-6x + 3y = 18
10x - y = 4

Answers

9514 1404 393

Answer:

  (x, y) = (1.25, 8.5)

Step-by-step explanation:

I choose to put these equations into reduced general form, then use the "cross multiplication method" to solve.

  2x -y +6 = 0

  10x -y -4 = 0

d1 = 2(-1) -10(-1) = 8

d2 = -1(-4) -(-1)(6) = 10

d3 = 6(10) -(-4)(2) = 68

Solutions are ...

  x = d2/d1 = 10/8 = 1.25

  y = d3/d1 = 68/8 = 8.5

The solution is (x, y) = (1.25, 8.5).

_____

Additional comment

I like a graphing calculator for a quick and easy solution. When the values are not integers, I like an algebraic solution to see what the exact values are.

__

The "cross multiplication method" is similar to Cramer's rule in that determinants of pairs of coefficients are computed. If you look up this method, videos will show you a variation that is slightly different. Here, we determined d1, d2, and d3 as the 2×2 determinant of the coefficients in adjacent columns of the array you get from the general form equations with the first column repeated:

  [tex]\begin{array}{cccc}2&-1&6&2\\10&-1&-4&10\end{array}[/tex]

In each pair, the determinant is the difference between the product of numbers on the down-diagonal and the product of numbers on the up-diagonal.

The determinants relate to the x- and y-values by ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1

There is a Vedic solution method for linear equations that is similar to this, but starts from equations in standard form. As a consequence, the cross-differences are done in a different order.

__

Standard form: ax +by = c

General form: ax +by +c = 0

Write a statement
---------------------------------------------------------------------------------------------------------------------

Answers

9514 1404 393

Answer:

  C)  ΔDCE ≅ ΔDQR

Step-by-step explanation:

Corresponding vertices can be identified by the number of arcs signifying congruence.

  1 mark: angles D and D

  2 marks: angles C and Q

  3 marks: angles E and R

Corresponding angles are listed in the same order in the congruence statement:

  ΔDCE ≅ ΔDQR

what are the solutions to the equation (x-2)(x-4)=8?

Answers

Answer:

=

6

=

0

Step-by-step explanation:

The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation (x - 2)(x - 4) = 8.

∴ x² - 4x - 2x + 8 = 8.

x² - 6x = 0.

x(x - 6) = 0.

So, x = 0 Or x - 6 = 0 ⇒ x = 6.

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The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answers

Answer:

Step-by-step explanation:

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

What is Ratio?

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4  

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

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g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2

Answers

answer:

1

Step-by-step explanation:

#'s between zero and two = one

the only number between 0 and two is 1

x = 1  y = 1  z = 1

the average value of the sum of the squares of x, y and z = 1

1, 1, 1

the average is 1

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