Mathematics High School

* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2

* Please Help* What Are The Solutions Of Equation (x 2)^2 = -3x + 6Select All That Apply.A X= -3B. X=

Answers

Answer 1

Answer:

C and G

Step-by-step explanation:

Given

(x - 2)² = - 3x + 6 ← expand left side using FOIL

x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 → G

x + 1 = 0 ⇒ x = - 1 → C

Related Questions

i need help asap Please ​

Answers

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?

Answers

North again. 270 + 90 = 360, hence the full rotation

don't mind the purple dot ​

Answers

Answer:

option A

Step-by-step explanation:

22 : 15 + 10hours = 8 : 15

                              8 : 15 + 35 minutes = 8 : 50

Therefore the difference = 10 hours 35 minutes

During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.

Answers

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.

Answers

Answer:

First Term = 6

Common Ratio = 3

Step-by-step explanation:

According to the Question,

Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .

Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .

The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .

Now, on solving  [tex]\frac{S_{8} }{S_{4} }[/tex]  we get,

[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]  

[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]

[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )

So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .

Please help me with these three questions...
I will be really thankful for help​

Answers

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?

Answers

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

Use Venn diagrams notation to describe the shading of
A
B

Answers

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

The shade part is where you write what each side has in common.

hELPpppPpPP pLEAaSSEEseE

Answers

It’s easy don’t make it complicated on yourself

Volume = LxWxH = (xy)^3 = x^3y^3

PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]

Answers

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared

Answers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

can someone help me please

Answers

Perimeter: 45ft
Area: 24cm^2

Hope this helped!! :) xxoo Have a nice day!

Answer:

8. B

9. B

Step-by-step explanation:

add all sides to get perimeter

multiply sections of the area to get area (length times width)

state wether the product of √3 and √9 is rational or irrational. explain your answer​

Answers

√9 is rational and √3 irrational number

I will pay for the answer.

Answers

Answer:

D

8x^2-12x+5

thanx for youer sug

Answer:

[tex]8x^2-12x+5[/tex]

Step-by-step explanation:

This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.

h(x) = 4x+1                                           Plug in g(x) equation for x

h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex]                Distribute the 4 and simplify

h(g(x)) = [tex]8x^2-12x+5[/tex]  

How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y

Answers

Answer:

one solution only

Step-by-step explanation:

16y + 7 = -3y + 10 + 8y

16y + 3y - 8y = 10 - 7

11y = 3

y = 3/11

one solution because you get an answer in the end

Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections

Answers

Answer:

(1,0)&(0,-3)

Step-by-step explanation:

might be not sure..

Make 'r' the subject of this formula: 3r - 5 = p

Answers

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

3r - 5 = p
3r = p + 5
r = p + 5/3

NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12

Answers

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3

Answers

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³

Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.

Answers

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

Hi guys pls answer this it’s easy tbh

Answers

365 that’s the answer

Answer:

this is the accurate answer of your questions

WILL MARK BRANLIEST
When describing a rotation, what
information must you include?

Answers

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is: ​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides

Find the surface area and the volume of the figure
Round to the nearest tenth if needed.

Answers

Answer:

See below

Step-by-step explanation:

Surface area:

S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)

Volume:

V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .

Which region represents the solution to the given system of inequalities?

{y < -1/2x }
[y ≥ 2x+3 }

A
B
C
D

Answers

The region D represents the solution of the given system of inequalities.

What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables.

How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or  y< " line.Shade above the line for a " greater then" and below for the "less than".

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

Find out more information about system of inequalities:

https://brainly.com/question/19526736

#SPJ2

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

Simplify by factorising first

Answers

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

5 x 1/7


The question



































Answers

as a fraction the answer is: 5/7

Answer:

5/7 or 0.71 is the answer

mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?

Answers

The amount would be 2,250.

1. Convert the quinary number 42 into binary number.​

Answers

Answer:

42 in binary number is 101010.

Other Questions
Which of the following items requires an internalcooking temperature of 165 F?a. Pork chopsb. Injected meats c. Raw Eggsd. poultry can someone help me???? Neglecting air resistance and the weight of the propellant, determine the work done in propelling a five-ton satellite to a height of (a) 100 miles above Earth and (b) 300 miles above Earth. What does a low number on the pH scale say about a solution?A. The solution is neutral.B. The solution is a base.C. The solution is changing.D. The solution is an acid. If 12 girls can sweep a room in 20hours, how many hours will it take 8 girls to perform the same task, assuming they are sweeping at the same rate? Software and technology that allow people to work together on a task are known as How do enzymes function in biological reactions? Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11 Based on the Pythagorean theorem , find the missing length for each of the given right triangles Which of the following numbers is to the left of 5 2/3 A. 5 5/6B. 5 3/4C.5 7/12D.5 11/12 The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 9 vans and 14 buses with 710 students. High School B rented and filled 13 vans and 5 buses with 371 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. Which ratio is not equivalent to 3:6?a. 1:2b. 4:10c. 10:20d. 15:30 Lydiagrace33Image attachedA) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ? D) Explain the difference between the meaning of a closed circle and an open circle on a graph of an inequality . Which is the correct way to say "Luisa sees the tree."?Luisa ve al rbol.Luisa ve el rbol.Luisa ve a rbol.Luisa ve rbol. Which of the following have led to the advancement of mapmaking techniques In parallelogram LMNP if PQ=21 find QM. Snack food vendors and beer distributors earn some monopoly profits in their local markets but see them slowly erode from various new substitutes. When California voted on legalizing marijuana, which side would you think that California beer distributors were on Ten examples of an interpreter which type of material is the best sound absorber?a. glassb. woodc. concreted. carpet Liz would like to study abroad for a year before graduating from college. She would like to live someplace that is close to her native country of Ireland in terms of development because she will need to use the Internet for many of her classes. She can choose from programs in three countries. What could she use to measure the economic performance of the three countries