The function f(x) = x2 + 6x +7 is graphed below.

Drag the correct word and the the appropriate value to the box with each given interval to indicate whether the function is increasing or decreasing on that interval

Given :

Answer 1 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 4 green balls. Therefore,

Answer 2 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 8 red balls. Therefore,

Answer 3 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)

Answer:

[tex]\fbox {2,400 pounds}[/tex]

Step-by-step explanation:

Information we have :

What we need to find :

Solving :

Answer: 10

Step-by-step explanation:

[tex]\frac{5}{x+5} (2x-5(2))\\\frac{5}{x+5} (2x-10)\\\frac{10x-50}{x+5}\\\frac{10(x+5)}{x+5} \\\frac{10}{1} \\10[/tex]

Answer:

8,957,172 people

Explanation:

Population = 1,218 people per square mile

Land area of New Jersey = 7,354 square miles

Total population:

people living in per square mile × total land area

1,218 × 7,354

8,957,172

Answer:

8 [units].

Step-by-step explanation:

if to see the given coordinates, then it is clear the x-coordinates are equal. It means, the required distance can be calculated:

d=5+3=8 [units].

Answer:

x = 9 or B

Step-by-step explanation:

Formula

(x + 2)^2 = 121                        

Comment

The easiest way to do this is to take the square root immediately, which is usually possible.

Solution

√(x + 2)^2 = √121                     Take the square root

x + 2 = 11                                   Subtract 2 from both sides

x + 2 -  2 = 11 - 2

x = 9

Answer: B) 9 inches by 9 inches

Step-by-step explanation:

Edg 2022

By solving a system of equations, we will see that the parking lot is 210ft by 200ft.

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W)

And the area is:

A = L*W

Here we know that the perimeter is 820 ft and the area is 42,000 ft²

Then we can write the two equations (ignoring units).

820 = 2*(L + W)

42,000 = L*W

We can isolate L in the first equation to get:

820/2 = L + W

410 - W = L

Now we can replace that in the other equation:

42,000 = (410 - W)*W = 410*W - W^2

Now we want to solve the quadratic equation:

-W^2 + 410*W - 42,000 = 0

The solutions are given by:

[tex]W = \frac{-410 \pm \sqrt{410^2 - 4*(-1)*(-42000)} }{-2} \\\\W = \frac{-410 \pm 10 }{-2}[/tex]

Then the solutions are:

W = (-410 + 10)/(-2) = 200

W = (-410 - 10)/2 = 210

If we take W = 200, then:

L = 410 - W  = 410 - 200 = 210

So we can conclude that the parking lot is 200ft by 210ft.

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Answer: C, 210 ft

Step-by-step explanation: edge :)

Answer:

Step-by-step explanation:

2/x-5

i beilive this is unknown

The zeroes of the function will be [tex]\rm -1 \pm \dfrac{\sqrt{78}}{6}}[/tex]

A quadratic function is given by ax² +bx+c = f(x)

The given quadratic function is

f(x) = 6x² +12x - 7

The zeroes of the function will be given by

f(0) = 0

6x² +12x - 7 = 0

The zeroes are given by

[tex]\rm \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

here

a = 6

b = 12

c = -7

Therefore the zeroes of the function will be

[tex]\rm \dfrac {-12 \pm \sqrt{12^2 -4*6*(-7)}}{2 *6}[/tex]

[tex]\rm \dfrac {-12 \pm \sqrt{312}}{12}[/tex]

[tex]\rm -1 \pm \dfrac{\sqrt{78}}{6}}[/tex]

Therefore these are the two zeroes of the function.

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The question is incomplete. Below you will find the missing content in the figure.

Prove: m/EIF = m/GIH

Step                                                                    Reason

m∠EIF+m∠FIG = 180°

m∠FIG+m∠GIH= 180°

m∠EIF+m∠FIG= m∠FIG+m∠GIH

m∠EIF = m∠GIH

The figure is shown below.

The correct answer is m∠EIF = m∠GIH

Here lines FH and GE intersect each other at the point I.

we have to prove the angle

m∠EIF = m∠GIH

so,

m∠EIF+m∠FIG = 180° as angels ∠EIF and ∠FIG forming a linear pair summing up to 180°. angels ∠EIF and ∠FIG form straight angels on a line EG.

m∠FIG+m∠GIH= 180° as angels ∠FIG and ∠GIH forming a linear pair summing up to 180°. angels ∠FIG and ∠GIH form straight angels on a line FH.

m∠EIF+m∠FIG= m∠FIG+m∠GIH because of the substitution property of equality. we replace 180° by m∠FIG+m∠GIH.

m∠EIF = m∠GIH because of the subtraction property of equality. We can subtract the same elements from both sides by the subtraction property of equality.

Therefore m∠EIF = m∠GIH.

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If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We have to make a tree diagram to show all possible arrangements of the letters in the word MAT.

M     ⇒ A  ⇒ T    

       ⇒ T  ⇒ A

A  ⇒ M ⇒ T

    ⇒ T ⇒ A

T ⇒ M ⇒ A

  ⇒ A  ⇒ M

If each of the letters is ordered randomly, the fractional probability of M being the last letter is 1/6.

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Answer: Read attachment.

Step-by-step explanation: Attached is my work. Hope it helps!

If my answer was helpful, please mark as brainliest. Or not, it's fine.

Answer:

[tex]\fbox {f(16) = -10}[/tex]

Step-by-step explanation:

Given :

f(x) = -3/4x + 2

Substitute x = 16 :

f(16) = -3/4(16) + 2

f(16) = -12 + 2

f(16) = -10

The situations described can be classified as experiment, and observational study.

An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.

An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.

Note: This question is incomplete because there is some information missing. Here is the information missing.

OPTIONS:

Does learner-centered instruction increase students' success rates in maths?

What proportion of registered women voters voted in the 2016 U.S. presidential election?

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Hey there!

-9x + 4 < 40

SUBTRACT 4 to BOTH SIDES

-9x + 4 - 4 < 40 - 4
SIMPLIFY IT!

-9x < 40 - 4

-9x < 36

DIVIDE -9 to BOTH SIDES

-9x/-9 < 36/-9

SIMPLIFY IT!

x < 36/-9

x < -4

Therefore, the answer should be:

x < -4

(The graph is down below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

the answer is 2.27. hope this helps

Answer:

C = 105°

Step-by-step explanation:

added in the picture

The attached diagram represents the Venn diagram of the sets

The sets are given as:

From the above representation, we have the following highlights:

Using the above highlights, we can now draw the Venn diagram

See attachment for the Venn diagram

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Answer:

Area of Floor = 21.6.m²

Area of tile = 288 cm² = 0.0288 m²

No. of tiles = Area of floor/ area of tile

= 21.6/0.0288

= 750

Answer:

Second choice GD and GF with the LINE symbol over each

Step-by-step explanation:

Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F

The angle θ to the diameter that she should row is; θ = 56.44°

It should be noted that;

a = 90° - θ. Thus;

b = 2θ

For any circle, the angle subtended (in radians) is equal to the arc length (d_w ) divided by the radius (1.2). Thus; d_w = 4θ .

The time required to walk this distance is given by;

t_w = 4θ/5 = 0.8θ

The distance rowed is given by: cos θ = d_r/2.4

d_r = 2.4cos θ while the time needed for it is;

t_r = 2.4cos θ/3.5

t_r = 0.6857θ

Thus, total time is;

T(θ) = t_r + t_w

T(θ) = 0.6857θ + 0.8θ

T(θ) = 1.4857θ

Now we need the critical numbers:

T'(θ) = 1 - 1.2 sin θ

At T'(θ) = 0, we have;

1 - 1.2 sin θ = 0

1/1.2 = sin θ

θ = sin⁻¹(1/1.2)

θ = 56.44°

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Answer:

A set is a well-defined collection of distinct mathematical objects.

[tex]\mathsf {2(10 + 2) = 3(y + 3)}[/tex]

[tex]\mathsf {24 = 3y + 9}[/tex]

[tex]\mathsf {3y = 15}[/tex]

[tex]\textsf {y = 5}[/tex]

[tex]\textsf {The value of y will be 5. }[/tex]

∠ A = 132°

Step-by-step explanation:

∠ A + ∠C = 180° (Angle sum of cyclic quadrilateral)

∠ A = 180° - ∠ C = 180° - 48°

∠ A = 132°

Using a system of equations, the total number of marbles that they have is given by:

A. 27.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Eve has two more marbles than Solene, hence:

x = y + 2.

Solene has twice as many marbles as Steve, hence:

Steve has 7 less marbles than eve, hence:

z = x - 7.

Hence:

[tex]\frac{y}{2} = x - 7[/tex]

y = 2(x - 7)

y = 2(y + 2 - 7)

y = 2y - 10

y = 10.

Then:

Hence the total is given by:

T = 12 + 10 + 5 = 27.

Which means that option A is correct.

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Answer:

2:45

Step-by-step explanation:

1 1/2 hour is 1 hour and 30 minutes.

If we add 30 minutes to 1:15, we get 1:45

if we add 1 hour to 1:45, we get 2:45, which is our answer.

Answer: -21

Step-by-step explanation:

Let the number be x.

Then, this means 2(x+8)+5=x.

The weight of each pile yesterday will be 6 and 8 pounds.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is Given that Yesterday the ratio of seeds in these piles was 3:4.

Let 3x and 4x represent the seeds.

If the 2 pounds of seeds are added in the bigger pile, then

4x + 2

He also ate 1/4 pound from the smaller pile,

3x - 1/4

The quantities of seeds in those piles is in the ratio of 5:16.

So, 4x + 2 = 5x

3x - 1/4 = 16x

Solve;

So, 4x + 2 = 5x

2 = 5x - 4x

x = 2

The weight of each pie will be

3x = 6 pound

4x = 8 pound

Hence, The weight of each pile yesterday would be 6 and 8 pounds.

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Answer:

D represents a difference of squares.

Answer: Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex]

Step-by-step explanation:

Hii, do you need to know which expression represents a difference of squares? No problem! (:

   Let's consider it for a moment. The "difference of squares" means we subtract two numbers squared, like [tex]\boldsymbol{a^2-b^2}[/tex].

Now let's check our choices and see where we subtract two numbers squared.

The only choice like that is Choice [D] - [tex]\boldsymbol{81-49y^2}[/tex].

In choice A, we add 2 numbers; in choices B and C we don't subtract two numbers squared.

Voila! There's our solution, cheers! (:

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Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

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