D
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Solve by factoring
x2 + 6.9. Hint. This is a double root.
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DClick An Item In The List Or Group Of Pictures At The Bottom Of The Problem And, Holding The Button

Answers

Answer 1

Answer:

–3 and –3

Step-by-step explanation:

x² + 6x = – 9

Rearrange

x² + 6x + 9 = 0

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.

The factors are 3x and 3x.

Next, we shall replace 6x with 3x and 3x in the equation above as shown below:

x² + 6x + 9 = 0

x² + 3x + 3x + 9 =0

Factorise

x(x + 3) + 3(x + 3) = 0

(x + 3)(x +3) = 0

x + 3 = 0 or x + 3 =

x = – 3 or x = – 3

Therefore, the solutions are –3 and –3


Related Questions

PLEASE HELPP NOW!!! Question in the photo

Answers

Answer:

Step-by-step explanation:

Am I correct in thinking that the question is asking how much of the $4.95 the city of San Francisco receives?

In that case....

Step 1.

$4.95 ÷ 8.25% = $0.60

Step 2.

$0.60 x 2.5% = $1.50

ANSWER =

The city of San Francisco receives 2.5% of the total taxes, equal to $1.50

Hope this helps!

Bluey :)

use the rules of exponents to evaluate or simplify. wright without negative exponents. 5 • 7^0 = ___ ^a0

Answers

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

If f (x) = x+13, then f (4) =
O 16
8
04
2.

Answers

Answer:

17

Step-by-step explanation:

f (x) = x+13

Let x = 4

f(4) = 4+13

    = 17

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]f(x)=x+13[/tex]

[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]

[tex]f(4)=4+13[/tex]

[tex]f(4)=17[/tex]

Simplify the expression 4(2x - 3)

Answers

The answer is 8x-12 you multiply 4*2x and multiply 4*-3

Answer:

8x - 12

Step-by-step explanation:

4(2x - 3)  (use distributive property, see attached)

= (2x)(4) - 3(4)

= 8x - 12

How can you tell the difference between systems with no solution and infinite solutions?

Answers

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Is the sequence arithmetic or geometric? 1, 2, 4, 8, 16, ...

Answers

Answer:

The answer is geometric

Step-by-step explanation:

    To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is 2 so the answer is a geometric sequence.

Seems way to fishy what do you think fine I’ll fight u

From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C. none of these D. 24

Answers

Answer: B. 6

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

explain the importance to count change​

Answers

Although many cashiers simply dump all your change in your hand at once, counting change the old-fashioned way ensures that customers get the proper amount. Here's an easy way to make a customer's change, using counting and simple addition: Leave the payment in plain sight on top of the cash drawer.
Employees look more professional when they are not confused by simple arithmetic – this reflects on your business!
When the power goes out, they can handle it. You don’t want to have to close down the shop just because counting change back manually is too hard for your team!
It’s more accurate. Clerks can use it to double check.
Employees can fix mistakes. Say a purchase was $2.36. If the customer gives the clerk a fifty but the clerk enters $5 into the cash register by accident, she can figure out the change due on her own.
How to Count Change
Counting change back to a customer is actually pretty easy when you understand what you’re doing.

There are a couple of ways you can count change. First, you can read the number on the cash register and count that amount to the customer. This ensures you grabbed said amount. Second, you can count up from the sale total. This ensures the customer actually gets the right change back.

The number on the cash register:
If you count the the number on the cash register, all you’re really doing is ensuring that you got that amount from the register. But what if you entered the amount incorrectly to begin with? Then your cash register’s displayed amount will be wrong and so will the amount you hand to the customer.

Counting up from the amount tendered:
There is no way you can go wrong with this method. Let’s say the total is $7.38. The customer hands the clerk a twenty. She doesn’t have to know what the change is going to be – she doesn’t have to do any subtraction. All she needs to do is count up from $7.38.

Steps to Count Change
1. Start with the pennies to reach a multiple of 5 or 10.

2. Next use a nickle or a dime as you get to a multiple of 25.

3. Use quarters until you reach a dollar.

4. Use one dollar bills until you reach a multiple of 5 or 10.

5. Use five dollar bills until you reach 10 or ten dollar bills until you reach 20.

A plane traveled 5525 miles with the wind in 8.5 hours and 4505 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (Hours,Miles,Mph) Simplify your answer.

Answers

Answer:

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Step-by-step explanation:

Let

s= the speed of the plane in still air

w= the speed of the wind

Flying with the wind:

5525=(s+w)*8.5

5525=8.5s + 8.5w (1)

Flying against the wind:

4505=(s-w)*8.5

4505=8.5s - 8.5w (2)

Add (1) and (2) to eliminate w

5525=8.5s + 8.5w

4505=8.5s - 8.5w

10,030=17s

Divide both sides by 17

10,030/17=17s/17

590=s

s=590Mph

Substitute the value of s into (1)

5525=8.5s + 8.5w

5525=8.5(590) + 8.5w

5525=5,015 + 8.5w

5525-5015=8.5w

510=8.5w

Divide both sides by 8.5

60=w

w=60Mph

The speed of the plane in still air is 590Mph

The speed of the wind is 60Mph

Use the parabola tool to graph the quadratic function. f(x)=2x^2+4x−16 Brainlest and 35pts plz help me!!!

Answers

Answer:

you would place the y-intercept at (0,-16).  and then the coordinates would be (-4,0) and (2,0). and the graph would be facing up or positive .

Step-by-step explanation:

find the height of trapazium in which parallel side are 26 cm and 60 cm

Answers

Answer:

no solution

Step-by-step explanation:

It does not work because you need the area as well as the parrallel sides to find the height.

I NEED THIS ASAP, PLEASE HELP!!!

What is the lower quartile of the data set shown? {20,22,23,24,26,26,28,29,30}

What is the interquartile range of this data set?
{62,63,64,65,67,68,68,68,69,74}

What is the upper quartile of the data set shown?
{7,8,8,9,10,12,13,15,16}

Answers

Answer: 22.5 ; 5 ; 14

Step-by-step explanation:

Given the dataset:

{20,22,23,24,26,26,28,29,30}

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 9

Q1 = 1/4 (9 + 1)th term

Q1 = 1/4(10) = 2.5

We average the 2nd and 3rd term:

(22 + 23) / 2

45 / 2 = 22.5

B) The interquartile range(IQR) of the dataset :

{62,63,64,65,67,68,68,68,69,74}

IQR = Q3 - Q1

The lower quartile (Q1) = 1/4(n + 1)th term

Where n = number of observations, n = 10

Q1 = 1/4 (10 + 1)th term

Q1 = 1/4(11) = 2.75 term

We take the average of the 2nd and 3rd term:

(63 + 64) / 2

45 / 2 = 63.5

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 10

Q3 = 3/4 (10 + 1)th term

Q3 = 3/4(11) = 8.25 term

We take the average of the 8th and 9th term:

(68 + 69) / 2

137 / 2 = 68.5

IQR = Q3 - Q1

IQR = 68.5 - 63.5

IQR = 5

C) give the dataset :

{7,8,8,9,10,12,13,15,16}

The upper quartile (Q3) = 3/4(n + 1)th term

Where n = number of observations, n = 9

Q3 = 3/4 (9 + 1)th term

Q3 = 3/4(10) = 7.5 term

We take the average of the 7th and 8th term:

(13 + 15) / 2

28 / 2 = 14

PLEASE HELLLLLLP MEEE

Answers

Answer:

None of the above

Step-by-step explanation:

In my opinion, I believe the answer is none of the above because

answer A says it has a peak from 10 to 15 km but the graph goes higher than 15 km

answer B says it has a gap from 25 to 30 km but the graph doesn't go that high.

Hope did helps:)

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

Can someone explain the answer? I really need help!

Answers

Answer:

6. b.

7. b.

8. c.

Step-by-step explanation:

6.  The 3  expands  the graph vertically by factor 3; -3 reflects across the y-axis and - 1 moves the graph 1 down.

7.  The 1/2 expands it horizontally by a factor 2, the -1 moves it 1 right and the + 5 moves it  5 up.

8.  The + 3 translates  the graph 3 units up.

On a piece of paper, graph yz -2x - 2. Then determine which answer choice
matches the graph you drew.

Answers

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

____________ are events whose outcomes are not affected by the outcomes of the other event(s). a) Complementary events b)Primary events c)Independent events big d) Dependent events'

Answers

Answer:

independent events

Step-by-step explanation:

they dont depend on other events anyhow

Answer:

Independent events.

Step-by-step explanation:

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? _____ gal

Answers

Answer:

Step-by-step explanation:

Refer https://brainly.com/question/17122506

Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55

Answers

Answer:

The answer is option A.

√48 = 6.93 to the nearest hundredth

Hope this helps you

Answer:

A

Step-by-step explanation:

What is the quotient?
x-1/7x2-3x-9

Answers

x-1/2x2-3x-9
=2x-10

PLEASE HELP THE QUESTION IS BELOW!!

Answers

Answer:

The answer is option D.

Their angles measures cannot be equal.

Answer:

D

Step-by-step explanation:

Hello,

What the question requires of us is just the property of complimentary angles and which is

The sum of their angles must be equal to 90°.

When two angles combine together to form angle 90°, it is said to be complimentary and they're referred to as a right angled triangle.

From the option, none of the angles can be up to a right angle triangle (90°)

The sum of their angles can be an acute triangle I.e 45°

45° + 45° = 90°

Knowing the fact that the angles can both be an acute angle (45°), it would be wrong to say both angles cannot be equal.

Hence option D is is wrong and it's the right answer in this case

what is the average rate of change of f over the interval [-3,9]

Answers

Answer:

According to the graph, f(−3)=3 and f(9)=-7

-7-3/9-(-3)= −10/12

Therefore the answer is -5/6

From Khan

The average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

What is Polynomial? What are exponents? What is the general equation of a straight line? A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power. Tis expression means that -

        [tex]b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

The general equation of a straight line is : y = mx + c

        where : [m] → is slope of line and [c] → is the y - intercept

We have the following function -

f(x) = x³ - 9

The average rate of change would be -

r = {720 - (- 36)}/{9 - (- 3)}

r = 756/12

r = 63

Therefore, the average rate of change over the interval [-3,9] will be 63 units per one unit change in y - value.

To solve more questions on exponents, visit the link below-

https://brainly.com/question/28966438

#SPJ2

[ Complete question -

what is the average rate of change of f(x) = x³ - 9 over the interval [-3,9] ]

Question 16 of 25
What are the coordinates of the vertex of the parabola described by the
equation below?
y=-7(x-4)^2-5
A. (-4,5)
B. (5,4)
C. (4,-5)
D. (-5, -4)

Answers

Answer:

To get the vertex of the parabola we proceed as follows;

y=-7(x-4)^2-5

The above can be written as:

y=-7x^2+56x-117

The values of a,b and c are:

a=-7, b=56 and c=-117

x=-b/(2a)

x=-56/(-7*2)=4

but;

y=-7x^2+56x-117

y=-7(4)^2+56(4)-117

y=-5

Thus;

x=4 and y=-5

The vertex will be at point (4,-5)

Hope it helped... Plz mark as BRAINLIEST... And follow me..

Thanks

The coordinates of the vertex of the parabola is given by V ( 4 , -5 )

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be represented as f ( x )

Now , f ( x ) = -7 ( x - 4 )² - 5

And , equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Comparing the given equation to the vertex form, we can see that the vertex is at (4, -5), and the coefficient a = -7.

Hence , the coordinates of the vertex are (h, k) = (4, -5)

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ5

Can someone please help with this question below!! i’ll put question 18 in another post right now

Answers

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

I am pretty sure that the answer is B

Jessica saved money to buy holiday gifts for her family. She started her holiday
shopping by spending 2/7 of the money on flowers for her mother. Then she spent of 3/5
the remaining money on chocolates for her father. Jessica used the rest of the money
to buy a bracelet for her sister.
B) What fractional part of the money did Jessica spend on her father's gift?
C) If Jessica spent $12 on her sister's bracelet, how much money had she saved
altogether to buy holiday gifts for her family?

Answers

Answer:

B) 3/7

C) $42

Step-by-step explanation:

B) 1-2/7=5/7 remaining.

5/7x3/5=15/35=3/7

C) She spent 2/7 on her mother and 3/7 on her father.  That leaves 2/7 for her sister.  $12 is 2/7 of $42 (12 divided by 2/7)

Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 square units B. 16 square units C. 30 square units D. 40 square units

Answers

Answer:

12 square units.

Step-by-step explanation:

What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.

Answers

Answer:

18

Step-by-step explanation:

to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180

then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18

hope it helped :)

FIRST GETS BRAINLLEST HURRYYYY Jon spins the spinner below 200 times. Predict how many times the spinner landed on blue.

Answers

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

If Jon spins the spinner 200 times, it will land on the blue about 100 times. This is because of all the colors on the circle, blue takes up half of the circle. Whereas other colors only take up a quarter. 200/2=100!

Find the area of the shaded regions (the green). I'll give brainliest for the correct answer!

Answers

Answer:

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Step-by-step explanation:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

Where r = 9 cm, θ = 80 degrees

=> Firstly 80 degrees in radians

80° = 1.4 radians

=> Now, The solution:

[tex]Area \ of \ Sector = \frac{1}{2} \ r^2 \theta[/tex]

[tex]Area \ of \ Sector = \frac{1}{2} (9)^2(1.4)\\Area \ of \ Sector = \frac{1}{2} (81)(1.4)\\Area \ of \ Sector = \frac{113.1 }{2}\\[/tex]

[tex]Area \ of \ Sector = 56.5 \ cm^2[/tex]

Answer:

[tex]\boxed{18\pi \: \mathrm{cm^2}}[/tex]

Step-by-step explanation:

Apply formula for area of a sector.

[tex]\pi r^2 \times \frac{\theta }{360}[/tex]

[tex]\theta =80\° \\r=9[/tex]

Plug in the values.

[tex]\pi \times 9^2 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{80}{360}[/tex]

[tex]\pi \times 81 \times \frac{2}{9}[/tex]

[tex]\pi \times 18[/tex]

[tex]18\pi[/tex]

The area of the sector is [tex]18\pi \: \mathrm{cm^2}[/tex].

In the circle below, O is the center and mĞ= 150°. What is the measure of angle HIG?​

Answers

Answer:

15°

Step-by-step explanation:

∠GOI=150°

∠HOG=30°

∠HIG=30°/2=15°(Circle angle)

Other Questions
Below are two chemical equations. One is for cellular respiration and one is for photosynthesis. Correctly place the reactants and products in the right location to complete both equations. Photosynthesis: H20 +H20------------->C6H12O6 +O2 +solar energy CO2 Cellular Respiration:O2+C6H1206 -------->CO2 + H2O +02 Reduction occurs at which electrode? PLEASE I NEED HELP!!! FIRST ANSWER GETS BRAINLIEST!!! Reduce to Simplest form. -5/8+(-8/5) The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 What does b= and c= and d= Identify the complete adjective clause. Dad is the only one with whom you can discuss this plan. Dad is the only one the only one the only one with whom the only one with whom you can discuss this plan with whom with whom you can discuss with whom you can discuss this plan you can discuss this plan _______________________ are numerically small, but well organized groups that are able to exert a disproportionate effect on political outcomes. Guys.... Help me find it... Wether it is true or false.. With reasons 1rst one is BRAINLIEST.... Only the one who gave with REASON What is one effect of repeating Rma's name numerous times in The Rmyan of Vlmki?It creates a rhythmic pattern.It emphasizes Rma's importance.It identifies Rma as supernatural.It shows that Rma is the main villain. Islam is a monotheistic religion because it teachesA the belief in a single god.B tolerance of other religions.C acceptance of a nomadic lifestyle.D openess to direct messages from God. Which of the following statements is not true for an exothermic reaction? Question options: The products have a higher heat content than the reactants. The temperature of the reaction system increases. The temperature of the surroundings increases. Heat passes from the reaction system to the surroundings. The enthalpy change for the reaction is negativ Under the articles of confederation, Congress Please answer it now in two minutes What two elements left a stamp on the continent of Africa forever? advantages of cutting crops with sickle ? please friends give this answer in easy way.... Ice cream bars come in a container that cost $3.12 for 6. What is the unit rate for the ice cream bars helPpppPPppPPPppppPppppPPppppppPPPPPPPPpppppppPPPPpppppppPPPPppppppPPPPppppppPPPPPpppppPPPPPPPPPPPPPPPPPPppppPPPPPPPppppPPPpppppPPpp THANK YOU The American Red Cross and the American Medical Association are nonprofit businesses. This is because they: A. plan to make a profit by selling services to other countries. B. exist to benefit a cause but not to make a profit. C. share profits with top management but not with workers. D. sell services directly to customers to make a higher profit. someone plz plz answer this hurry plz it Simplify help pls: 13x(3x-32y)