What are the solutions to the quadratic equation 4(x + 2)2 = 36

A. x = −11 and x = 7
B. x = −7 and x = 11
C. x= −5 and x = 1
D. x = −1 and x = 5

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given

4(x + 2)² = 36 ( divide both sides by 4 )

(x + 2)² = 9 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 2 from both sides )

x = - 2 ± 3 , then

x = - 2 - 3 = - 5 and x = - 2 + 3 = 1

Answer 2
4(-11 + 2)2 = -72
4(7 + 2)2 = 72
4(-7 + 2)2 = -40
4(11 + 2)2 = 104
4(-5 + 2)2 = -24
4(1 + 2)2 = 24
4(-1 + 2)2 = 8
4(5 + 2)2 = 56

Related Questions

find three consecutive integers whose sum is -54 show work please

Answers

Answer:

it would be positive 54

Step-by-step explanation:

Pls do not think my answer is correct im just guessing

Step-by-step explanation:

let x be the consecutive integer

x + (x+1 )+(x+2)= -54 so we have three x's and the sum of 2 and 1 =3

=> 3x+3=-54

=> 3x=-54-3

=> 3x=-57 divide -57 for 3

=> x=-19

=> x+1= -19+1 = -18

=> x+2= -19+2=-17

there fore the three consecutive integers are -19,-18,-17

check

-19+-18+-17=-54

Which of the following statements is NOT true?
A. All whole numbers are integers.
B. All natural numbers are whole numbers.
C. All integers are whole numbers.
D All fractions of form [tex]\frac{p}{q}[/tex], where p and q are integers and q [tex]\neq[/tex] 0, are rational numbers.

Answers

Answer:

C)All integers are whole numbers.

Step-by-step explanation:

A)

whole numbers are the numbers 0 to +∞ (not including fraction, numbers i.e 6.89 etc)

integers are the numbers -∞ to +∞ (not including fraction, decimal numbers i.e -5.57, 7.74 etc)

since integers are the numbers including whole numbers thus the statement is true

B)

Natural numbers are the numbers 1 to +∞ (not including fraction, decimal numbers i.e 6.89 etc)whereas whole numbers are the numbers 0 to +∞ (not including fraction, numbers i.e 6.89 etc)

hence, the statement is true

C)

All Whole numbers are integers but not all integers are whole numbers

therefore, the statement is not true

D)

the given definition is the perfect definition of rational numbers

hence, the statement is true

⎆ [tex]\huge\underline{ \underline{ \text{Solution :-}}}[/tex]

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

╭⋟───────────────

A. All whole numbers are integers.

[tex]\boxed{True}[/tex]

➺ Whole numbers include numbers from 0 to above. Integers include all numbers (negative & positive ones). Hence, all whole numbers are integers.

____________________

B. All natural numbers are whole numbers.

[tex]\boxed{True}[/tex]

➺ As said above, whole numbers include numbers from 0 to above. Natural numbers on the other hand include numbers from +1 to above (right side of the number line). So, all natural numbers come under whole numbers.

____________________

C. All integers are whole numbers.

[tex]\boxed{False}[/tex]

➺ Integers include both negative & positive numbers while whole numbers only include numbers from 0 to above (right side of the number line). Since, negative numbers don't come under whole numbers, integers can't be categorised as whole numbers. •°• All integers are not whole numbers.....but all whole numbers are integers.

____________________

D. All fractions of form [tex]\frac{p}{q}[/tex], where p and q are integers and q [tex]\neq[/tex] 0, are rational numbers.

[tex]\boxed{True}[/tex]

➺ This is the definition of rational numbers. All fractions are under rational numbers, so this definition stands true for fractions as well.

____________________

[tex]\large\underbrace{ \overbrace{ \mathfrak{Answer}}}[/tex]

⟹ So, the statement which doesn't match or is NOT true will be ➳ C. All integers are whole numbers.

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Plz show the work part 2 fast

Answers

Answer:

24

Step-by-step explanation:

you find area of a triangle with equation:

[tex] \frac{1}{2} bh[/tex]

base: 6

height: 8

[tex] \frac{1}{2} (6)(8)[/tex]

[tex] \frac{1}{2} (48)[/tex]

area equals: 24

for the second photo

vertex would be at (1,-8)

this is because each vertex is in a different quadrant so you would need a negative y axis to form the rectangle

The answer is 24 to your problem

help asap.
see the picture for more deatails.

Answers

Answer:

5

Step-by-step explanation:

5^2+4(9)÷3(3)-4(6)

25+36÷9-24

25+4-24

29-24=5

The answer would be five

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0).

A. The graph is not a function of x because the line x = 0 intersects the graph at two B.points. The graph is a function of x because the line x = 5 does not intersect the graph.

C.The graph is not a function of x because the line y = 0 intersects the graph at two points.

D.The graph is a function of x because the line y = 5 does not intersect the graph.


Plzzzzzz help will mark brainliest plz plz plz plz plz help help help help me me me me me i'm begging i don't want to fail plz plz plz plz help me me me i'm begging plz plz plz plz plz plz plz plz

Answers

Answer:

If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.

Your answer is A.

Step-by-step explanation:

Hello can somone help my with this this qwq

Answers

6 the equation is 3 times 4=12 divided by 2
A = bh/2

b = 3
h = 4

A = 3*4/2
A = 6

pls help... again
(3x - 5)2

a
9x^2 - 25
b
9x^2 + 25
c
9x^ - 30x - 25
d
9x^2 - 30x + 25

Answers

Answer:

c

9x^ - 30x - 25

.............................

it is actually b because -5 x -5 is a positive 25

Please help me ASAP thanks

Answers

They can buy 8!!


After taking away 2.75 from 98.75 they are left with exactly 96 dollars which you can divide by 12 to get 8
8
I don’t rlly feel like explaining mb

Find the area of the triangle. Enter your answer in the box.

An obtuse triangle. The base of the triangle is fourteen millimeters. The long side of the triangle is twenty-seven millimeters. The height of the triangle is twelve millimeters.
84

Answers

Answer:

84ml²

Step-by-step explanation:

A = ½ x b x h

A = ½ x 14 x 12

A = 84ml²

Based on signal strength, a person knows their lost phone is exactly 47 feet from the nearest cell tower. The person is currently standing 23 feet from the same cell tower. What is the closest the phone could be to the person?

Answers

Since 47ft is the distance from cell tower it could only be 24ft or 70ft, closest implies the least of the two which is 24ft
Answer:  24 feet

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

Explanation:

It might help to draw out a diagram. Refer to the image below. Point A is the cell tower location. Point B is where the person is located. This is a birds eye view. Point B is on the smaller circle of radius 23 ft. The cellphone, which has unknown location, is somewhere on the larger circle of radius 47 ft.

The best case scenario is that the phone is on ray AB, which would make the phone to be 47-23 = 24 ft away from the person. This is the closest the phone could be.

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

Extra info:

On the flip side, the worst case scenario is that the phone is on the diametrically opposite side. This would mean the distance from the phone to the person is 47+23 = 70 ft. So the range of possible distances d is [tex]24 \le d \le 70[/tex]

(this is 6th grade math) PLEASE HELP​

Answers

Answer:

-6n + 12

-4n - 32

-19n + 20

10n - 50

Please tell me tell expression of "T" I cant tell what it is.

A standard fire hose is 50 feet long. What is the length of the hose in yards and feet?

(1 yard = 3 feet)

(P.S I just need a reminder, I am taking a review test.)

Answers

16.7 rounded if you round the number to a tens place I think if I’m not mistaken

The number of yards in 50 feet of the standard fire hose will be 16.67 yards.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A standard fire hose is 50 feet long.

The conversion formula is given below.

1 yard = 3 feet

The number of yards in 50 feet is calculated as,

⇒ 50 / 3

⇒ 16.67 yards

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

what operation is this equation ??

Answers

You gonna minus the total of both items by 30
First step is to line up both items
15.80
7.84
Which equals $23.64
Then subtract this amount from $30
30.00
23.64
Equals $6.36
So the change will be $6.36

A recipe calls for 6 cups of water and 4 cups of flour. What is the ratio of water to flour? Simplify

Answers

The answer is 6/4 but simplified it is 3/2

The 3 angles of the triangle are given. What kind of triangle is this?

A. acute triangle
B. right triangle
C. obtuse triangle
D. isosceles triangle

Answers

Answer: Obtuse triangle

Step-by-step explanation:

Because one angle is more that 90 degrees

Answer: obtuse triangle

These are homework questions I don't understand- can I please get help?

Answers

WARNING: ANSWER NOT NOT BE RIGHT! Answer: 1- A I really hope this helps! Im not good at this stuff, but I hope I did good! This not be right!

Answer:

1. a. draw 5 boxes with 7ś in them and x=7

2. number 7. x+x+x=9 that is A. and x+3=9 for B.

3. part a: x+9=16 draw a box with x+9=16 and x=7

3. part b: 4(x)=28 draw a bout that matches that and x=7

Step-by-step explanation:

1. the value of x is seven because 5x = 35 divide x on both sides is 7

2. number 7. x+x+x=9 that is A. and x+3=9 for B.

3. part a: x+9=16 draw a box with x+9=16 and x=7

3. part b: 4(x)=28 draw a bout that matches that and x=7

help
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base.
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.

Answers

Answer:

Step-by-step explanation:

A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces., therefore the difference would be that they have a different number of faces because the rectangular one has 3 faces and the triangular one has 4

Math probability
Please help

Answers

11/16
Explanation: we have 16 marbles in total and 11 red and blue marbles, so the probability is 11/16!
11/16 there’s 6 Blue and 5 Red and 5 Green, 16 in total blue and red together is 11.

The temperature at 5 p.m. was −4 ∘F. The temperature rose 7 ∘F once the sun came up at 8 a.m. the next morning.

What was the temperature at 8 a.m. that morning?

Answers

Answer:

3 degrees F

Step-by-step explanation:

-4 + 7 = 3

The temperature at 5:00pm was -4°F. The temperature rose (it means adding) 7°F once the sun came up at 8:00am.

Write an addition expression.

(-4)+(+7)

-4+7

+3

(The answer is positive because it matches the sign of 7, the numerically larger number)

Therefore, the temperature was 3°F.

Please help me! I will give brainly

Answers

Answer:

B. d=15h

Step-by-step explanation:

Person above me is correct, please give them brainliest! :D

(this is 6th grade math) please help whats the equation for this?​

Answers

the equation is t = 100 - s because if t is the total left so the dependant has a variable

Answer:

t=100-s

Step-by-step explanation:

Since we know T as the total amount, we need to figure out how much was spent from the $100 Julie has. She can't gain more money magically so you have to take away from the 100. The amount taken away is the S (a.k.a- how much was SPENT). After putting that together, you get t=100-s.

hope this helps!!

Find the composite area in square feet. Write your answer as a number only. Your answer will be a whole number.​

Answers

The answer 59 squared ft

Which set of numbers includes only integers?

A.Negative 5, negative 3 and one-fourth, 1, one-eighth
B.Negative 3, negative 2, 2, 3
C.Negative 6, negative 4, negative 2, negative one-half
D.One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

Answers

Answer:

Gonggong answer munaman Yan ehh

B, integers basically mean whole numbers and B only contains whole numbers

Part A
Fill in the blanks to complete the sentence.
Zuri rides her bike 10 miles per hour on a biking trail. She starts at mile marker 2 and heads in the direction of mile marker 3. Each marker indicates a distance of 1 mile.


Part A



Complete the table to show the relation between the location of Zuri on the bike trail and time spent riding. Express your answers as whole numbers or decimals.



Time Riding (min) Mile Marker
0
15
30
45
60

Answers

Answer:

60

Step-by-step explanation:

Similar figures review 2

Answers

Answer:

a) 48.28 inches

b) 12.5

c) 7.2 cm

d) 16

Hope It Helps!

Please Mark Me Brainliest!

a) 48.28 inches

b) 12.5

c) 7.2 cm

d) 16

Combine like terms to find the equivalent expression of 5 y minus 3 y + 12.

The new expression becomes
8 y + 12.
Negative 2 y + 12.
2 y + 12.
14 y.

Answers

Answer:

2y+12 c on edg

Step-by-step explanation:

The answer is /C/

                       /3/

                       "2y + 12"

                                 

                                              You're Welcome!

      PS: I wanted to give more credit to the first person for answering,

                                               you're amazing!

                       

8 out of 32 students in the class do not have a pet at home. what percentage of students have pets?

Answers

25%

Hope this works <3

Answer:

25% of the kids do not have a pet at home

Step-by-step explanation:

Hope this helps!

Use the inequalities to answer the following question.

Inequality 1: 2x + 7 < -3

Inequality 2: x – 8 + 3x < -4

Which of the following values make both inequalities TRUE? Select all that apply.

A. 2/3

B. –5

C. 12

D. - 15/2

E. 325

F. –8.25

G. –10

Answers

verifying every options

option A 2/3

2x+7<-3

2(2/3)+7<-3

(4/3)+7<-3

4/3<-3-7

4/3<-10

4<-10×3

4<-30 (not true)

option B

-5

2x+7<-3

2(-5)+7<-3

-10+7<-3

-3<-3not true.

option C

12

2x+7<-3

2(12)+7<-3

24+7<-3

31<-3 not true

option D

-15/2

2x+7<-3

2(-15/2)+7<-3

-30/2+(7)<-3

-15+7<-3

-8<-3 true

testing for second equation

x-8+3x<-4

(-15/2)-8+3(-15/2)<-4

-7.5-8+3×-7.5<-4

-15.5-22.5<-4

-38<-4 true

option E

325

2x+7<-3

2(325)+7<-3

650+7<-3

657<-3 not true

option F

-8.25

2x+7<-3

2(-8.25)+7<-3

-16.5+7<-3

-9.5<-3 true

second equation

x-8+3x<-4

-8.25-8+3(-8.25)<-4

-16.25-24.75<-4

-41<-4 true

option G

-10

2x+7<-3

2(-10)+7<-3

-20+7<-3

-13<-3 true

x-8+3x<-4

-10-8+3(-10)<-4

-18-30<-4

-48<-4 true

answer...option D, F, G

What is the answer to this (in attached photo)

Answers

Answer:

12

Step-by-step explanation:

Here is a list of each of the numbers until their factors add up to the same multiple:

Brendan - 4, 8, 12

Miguel - 6, 12

Jeron - 3, 6, 9, 12

- - - - -

Brendan would complete a lap about 3 times around 12 minutes.

Miguel would complete a lap about 2 times around 12 minutes.

Jeron would complete a lap about 4 times around 12 minutes.

IM CONCLUSION -

The answer is 12 minutes

Which equation represents a linear function?
A.) y = 2/x + 10
B.) y = x^3/3 + 5
C.) y = [3/4]^2 x + 2
D.) y = 5/6x^2 - 5/6x + 5

Answers

C since liner equation is y=f(x)= ax+b
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