Given the following equation x2 + 12x = x - 24 find the solutions.
(Show All Work)

16a) Set the equation equal to 0 by inverse operations.



16b) Place the equation in factored form.



16c) Set each factor equal to 0 and solve for x.

Answers

Answer 1

Answer:

OK , so I'll follow all your instructions:

x² + 12x - x + 24 = 0

x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8

(x² + 3x ) (+ 8x + 24) =0

x ( x + 3) + 8 ( x + 3)=0

( x + 3 ) ( x + 8)=0

x +3 = 0 or x + 8= 0

x = -3. or x = -8


Related Questions

is x = 3 a function or not a function ?!

Answers

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)

Answers

Answer:

The y-component is 11.49 m.

Step-by-step explanation:

Given that,

Vector = 12 m

Angle, θ = 73.3°

We need to find the y-component of this  vector.

It can be calculated as follows :

[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]

So, the y-component is 11.49 m.

What is the vertex of the graph of the function below? y= x2 - 4x + 3

A. (2.-1)

B. (1,-1)

C. (1,0)

D. (2,0)​

Answers

The correct answer is A. (2, -1)
Answer: A

Step by step explanation

What is the absolute value of 6.57?​

Answers

Answer: it should just be 6.57

Step-by-step explanation:

can someone help me with Q I can't seem to get it

Answers

Answer:

Can u do zoom it plz i cant see

Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7

Answers

Fill in the blanks using < or >.

[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]

(a) -3 [tex]\boxed{ > }[/tex] -4

(b) 6 [tex]\boxed{ >}[/tex] -20

(c) -8 [tex]\boxed{ < }[/tex] -2

(d) 5 [tex]\boxed{ > }[/tex] -7

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East

If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.

Answers

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x


=3
=2y−15

x=?
y=?

Answers

Step-by-step explanation:

The first president of the United States was

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Answer:

x=9

y=12

Step-by-step explanation:

hi, last thing !! awarding 30 points here !! answer asap thank you so much !!

Answers

Answer:[tex]\color{yellow}{}[/tex]

[tex]\color{iron}{{-1, 0, 4}}[/tex]

[tex]\color{iron}{{-3, 1, 2}}[/tex]

Domain is 5 and the range is 4 so the Function is 1.25

Given 1x) = 10-2x, find f(7).

Answers

Step-by-step explanation:

Given that,

f(x) = 10 - 2x

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

f(7) = -4

Therefore, 4 is the required answer.

which one is the smallest 4/5 1/6 2/3 1/5

Answers

Answer:1/6

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}[/tex]

[tex]\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}[/tex]

[tex]\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}[/tex]

[tex]\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!

Answers

Answer:

1. 160 min

2. 84 min

3. 5:12 p.m.

4. 6:40 p.m.

5 a 4:44 p.m.

b 7:14 p.m.


A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth

Answers

Answer

16.25

Step-by-step explanation: To The Nearest Hundredth

(-1, 2), (3, 1)

√17

(3, 1), (7, 2)

√17

(3, 1), (7, 2)

√8

So our answer is =

8 + √17 + √17 = 16.25

hope it works for you!

A regular pentagon has a perimeter of 60 cm.

A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.

What is the measure of angle CBD?

°

What is the length of segment CD?

cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?


What is the approximate length of BC?

cm

What is the approximate length of BD?

cm

Answers

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

What is the measure of angle CBD?

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

What is the length of segment CD?

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

What is the approximate length of BC?

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

What is the approximate length of BD?

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

https://brainly.com/question/14961220

Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?

Answers

Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34

b to the power of -3
write that as a positive exponent
explain

Answers

Answer:

1/b^3

Step-by-step explanation:

b^-3 is like writing:

1

---

b^3 since negative exponents are made into fractions

Anyone know this answer?

Answers

Answer:

56 degrees

Step-by-step explanation:

The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan x^{\circ}=\frac{15}{10}[/tex]

To isolate [tex]x[/tex], take the inverse tangent of both sides:

[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]

Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?

Answers

Answer:

the 2nd one

Step-y-step explanation:

3x + 14 < 38
Please show work

Answers

3x + 14 < 38

Subtract 14 from both sides:

3x < 24

Divide both sides by 3:

X < 8

Does anyone know this? Options: 5,6,or 10

Answers

Answer:

x = 6

Step-by-step explanation:

a • b = c • d  where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord

2*x = 3*4

2x = 12

Divide by 2

2x/2 = 12/2

x = 6


help help help help pls

Answers

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

ethan invests £500 in the bank for 2 years he earned £40 simple interest

Answers

Answer:

Rate = 4%

Step-by-step explanation:

principal = £500

time = 2 years

simple interest = £40

rate = ?

simple interest = PTR / 100

£40 = £500*2*R /100

£40*100 = £1000*R

£4000/£1000 = R

4 % = R






Help





Will




Give




Brainlist

Answers

Answer:

3.14 million

Step-by-step explanation:

10.676 - 7.536 = 3.14

To check

7.536 + 3.14 = 10.676

Answer:

3.14 million is the correct answer

please answer this!!!!

Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.

Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.​

Answers

Answer:

He could have asked the girls as well, and could have asked the entire class instead of just 10 students.

Step-by-step explanation:

By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.


What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?

Answers

Answer: The remainder is 0.

Step-by-step explanation:

We are given:

Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]

Divisor polynomial = [tex]2x^2-3[/tex]

We divide the dividend by the divisor using the long division method.

In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.

The long division of the two polynomials is attached in the image below.

From the image, we can say that the remainder of the two is 0

Which scenario depicts two independent events?

The school play opens tonight and it is raining.
Neva is hungry and she buys a snack from the concession stand.
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
Luka paints during school and he stains his shirt.

Answers

Neva is hungry and she buys a snack from the concession stand event is independent.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ5

A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?

Answers

Answer:

14

Step-by-step explanation:

Find HCF

Year 7: 70 students

7x5x2=70

Year 8: 98 students

7x7x2=98

HCF: 14

The largest team size she can use is 14 students.

Grade 7: 5 teams

Grade 8: 7 teams

Brainliest please, thanks!

Which function has the same range as
f(x)=-2 Sqrt X-3 +8?

g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8


Answers

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

What is the range of the given function?

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

Which other function has the same range?

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Which transformation reflects a figure across the y-axis

Answers

it’s the second one .!!!!!!

PLEASE HELP. (Will Mark Brainliest)

Answers

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

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