use the factoring to find the coordinates of the vertex of the graph of x^2 + 8x + 12=0​

Answer:

Greatest common factor of 21 28 and 42

We found the factors and prime factorization of 28 and 42. The biggest common factor number is the GCF number. So the greatest common factor 28 and 42 is 14.

Tell me if I'm wrong.

Answer:

[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,

[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]

Let us take that ,

Now substitute the respective values ,

[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]

Hence the correct option is (2) .

Answer:

A = 1.26

B = 1.22

Store B is better

Step-by-step explanation:

5.04 divided by 4

2.44 divided by 2

Answer:

r^6

4d^3

Step-by-step explanation:

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

Answer:

225, 256, 441, 484

Step-by-step explanation:

Only square numbers can have an odd number of factors, e.g. 4: 1, 2, 4

Therefore only square numbers can have 9 factors.

There are only 8 square numbers between 200 and 500: 225, 256, 289, 324, 361, 400, 441, 484.

One way is to list all the factors of each number and you will find that only 225, 256, 441 and 484 have 9 factors.

The other more efficient way is to acknowledge the fact that if a square number (n x n) has 9 factors, n must have only 4 factors. For example, 225 has 9 factors because it is equal to 15 squared and 15 only has 4 factors: 1, 3, 5, 15.

This way, we can find out that 15, 21 and 22 have exactly 9 factors. However, 256 has 9 factors as well as it is equivalent to 2 to the power of 8. This means that it already has 8 factors: 2, 4, 8, 16...,128, 156. However, we must include 1 as a factor which means it has 9 factors in total as well.

Answer:

shrub = $11

hosta = $2

Step-by-step explanation:

Two equations can be derived from the equation

9h + 12s = 150 equation 1

4h + 3s = 41 equation 2

s = shrubs

h = hostas

this question can be solved using simultaneous equation

Multiply equation 2 by 4

16h + 12s = 164 equation 3

Subtract equation 1 from 3

7h = 14

h = 2

substitute for h in equation 1

9(2) + 12s = 150

12s = 150 - 18

12s = 132

s = 11

Answer:

I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi (6^{2})[/tex]

[tex]A=\pi (36)[/tex]

From here, there can be a few different answers:

The exact answer is A=36π inches^2.

If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2

If you're using 3.14 for pi, the answer is A=113.04 inches^2.

Answer:

Aswan, Sudan

Step-by-step explanation:

Answer:

egypt and africa

Step-by-step explanation:

Answer:

O $225.00

Step-by-step explanation:

Given that

The one of the flight was 350 miles

And, its residual is 105

The regression line is y = 102.50 + 0.65x

where

y denotes the expected fare

And, x denotes the distance

We need to find out the fair of the flight

So,

y = 102.50 + 0.65 (350)

= 330.00

Now the fare is

= 330 - 105

= 225

Answer:

(C) 225 Is correct.

Predicted cost - residual = answer

y= 102.50 + .65(35)

330 - 105 = 225

255

ED2021

As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change?

You should have these values backwards like:-

=>  1/34 lb is less than 1/4 lb.

Next:-

We're gonna find a specific common denominator,

Then we get: (17/68 - 2/68)/(1/4) = 60/68 = 15/17 lb/hour

___________________________

[tex]\huge{ \mathfrak{ \underline{ Answer}}} \: \: ✓ [/tex]

____________________________

Change in weight :

_____________________________

Time taken to melt :

_____________________________

Rate of change in weight of ice :

The rate of change in weight of Ice is 6 lbs per hour ( 6 lb / h )

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

This question is incomplete, the complete question is;

A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

Answer:

a)

The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b)

The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Step-by-step explanation:

Given the data in the question;

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

Number of persons affected by disease with positive factor of X = 40

Number of persons with negative factor of X  without the disease = 140

Total number of persons affected by the disease = 40 + 10 = 50

Total number of persons not affected by the disease = 60 + 140 = 200

a) Sensitivity of the Test;

Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100

we substitute

Sensitivity = [ 40 / 50 ] × 100

Sensitivity = 0.8 × 100

Sensitivity = 80%

Therefore, The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b) The specificity of the test;

Specificity = [ ( Number of persons with negative factor of X  without the disease) / ( Total number of persons not affected by the disease ) ] × 100

we substitute

Specificity = [ 140 / 200 ] × 100

Specificity = 0.7 × 100

Specificity = 70%

Therefore, The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Answer:

3a-b

3×4-6 solve by using the rules of BODMAS

12-6

6(ans)

Hope it helps

Answer:

A

Step-by-step explanation:

Pretty certian but dont rely on this answer

Answer:

1/12

Step-by-step explanation:

It is given that :

Amount of cereal left = 1/3 of a box

Number of people amongst whom the box of cereal is to be divided equally = 4

Therefore, an equation representing this problem is :

[tex]$\frac{1/3}{4} = x$[/tex]

where x = is the amount of the share each brother gets.

Therefore solving the equation, we get :

[tex]$\frac{1/3}{4} = x$[/tex]

[tex]$\frac{1}{3} \times \frac{1}{4} = x$[/tex]

[tex]$\frac{1}{12}=x$[/tex]

So, each brother got 1/12th of the cereal left.

Answer:

30,000

Step-by-step explanation:

31623

1 is less than 5 so you dont round up

30,000

-- Gage Millar, Algebra 2 Tutor

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] with the really important part being the x- and the y-. If our first set of parenthesis is

[tex](x+9)^2[/tex], by the definition of the standard form of a circle, it actually is

[tex](x-(-9))^2[/tex] which is obviously negative (that's the h of the center of the circle);

If our second set of parenthesis is

[tex](y+5)^2[/tex], by the definition of the standard form of a circle, it actually is

[tex](y-(-5))^2[/tex] which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so

Center (-9, -5), radius 8

Answer:

I think or maybe if you want me to say this the given series is a geometric one with fert term, -3 and common ratio -1

Step-by-step explanation:

I am so sorry if this is not what you meant I apologize

Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars

quality plumbing charges 50 for each hour of work plus one time fee of 150

t or f quality plumbing charges the least for 5 hours of work false

Step-by-step explanation:

I think this is correct, no time to explain if you need this answer fast

Hope this help!!!!!!! :)

Quantity of flour needed to make 20 pancakes =

Then , number of pancakes that can be made from 1 cup of floor :-

.

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Step-by-step explanation:

Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V=  π*25*20

V= 500π m^3

Hence the volume is  500π m^3

Answer:

55 tons

Step-by-step explanation:

to determine the tons shared among the shops, determine the whole number that would be derived in 16395 were divided by 76. it is 215

multiply 215 by 76 and subtract from 16375

16375 - 16340 = 55

Answer: 2,4???

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

square root is 49 is 7

so

1 side is 7

so

original side is 7 - 2

which is

5

Answer:

The original side length was 5 in.

Step-by-step explanation:

Area of new square is (side length)^2.  Here,

that area is (x + 2)^2 = 49 in^2, and we must find x.

Taking the square root of both sides, we get:

x + 2 = +√49 = +7

Subtracting 2 from both sides yields x = -2 + 7 or x = 5

Check:  does (5 + 2)^2 = 49?  YES

Answer: about 2 times greater

Step-by-step explanation:

The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :

= [tex]\frac{-9}{10}[/tex]

Let's check from the given options which is the correct one.

A)

- [tex]\frac{9}{-10}[/tex]

if we multiply and divide by -1 then we find that the given fraction is equal to :

= [tex]\frac{9}{10}[/tex]

This is not equal to what Callie has written.

B)

[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.

C)

[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.

D)

[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.

Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

Learn more about fractions here :

https://brainly.com/question/17220365

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