2. The two equations y = (x + 2)(x + 3) and y = x? + 5x + 6 are equivalent.

a. Which equation helps find the x-intercepts most efficiently?

b. Which equation helps find the y-intercept most efficiently?

Answers

Answer 1

Answer:

it b

Step-by-step explanation:

Answer 2

a) y = (x + 2)(x + 3)  helps find the x-intercepts most efficiently.

b) y=   [tex]x^{2} +5x+6[/tex] helps find the y-intercept most efficiently

What is intercepts?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given that:

a) y= (x+2)(x+3)

i.e., x+2= 0 , x+3 = 0

    x= -2 , x= -3

and, y =  [tex]x^{2} +5x+6[/tex]

           = (x+2)(x+3)

  x= -2 and y= -3

y = (x + 2)(x + 3) helps to find the x-intercepts most efficiently

Now,

b) y=(x+2)(x+3)

     x =0 , y = 2 x 3 =6

y=   [tex]x^{2} +5x+6[/tex]

y= 0 +05 x 0 + 6

y= 6

So, for y-intercept use  y=   [tex]x^{2} +5x+6[/tex]

   

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ2


Related Questions

5Please help!! Geometry, will mark brainliest!

Answers

Answer :
Rectangles do not have perpendicular bisectors which means they are not right triangles. So this cannot be a way to prove them congruent. Hope this helps.

PLEASEEEE HELPPPP ME!!!

Answers

Answer:

a,b,d

Step-by-step explanation:

I think the answer might be 1, 4, and 5. Hope this helps!

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

Answers

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

Any time you multiply/divide both sides with a negative the inequality will be reversed!

Answer:

c and d

Step-by-step explanation:

Lowest common factor of 28 and 30

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

plz i need to findthe area of the octagon plzzzzzz help​

Answers

Answer:

Check pdf

Step-by-step explanation:

The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
A. f(x)=-3(x+1)(x-5)
B.f(x)=-3x^2+12x+15
C.f(x)=-3(x-2)^2+27

what is the vertex?
( , )

Answers

Answer:

C     Vertex is (2, 27)

Step-by-step explanation:

C     Vertex is (2, 27)

The only way that you shouldn’t do is wrong and I can get it on your website if it does commager you know how it is now it doesn’t matter if I don’t have to the text I want it I can put the link in it I have never a text from the other person that is a good but it’s a little more user to do that I don’t know why I can’t even see that it is not the same thing.

Answers

Is this a question or a statement

Umm wha? This makes no sense to me. Like what are you sayin

HELPPPPPPP!!!!! ITS DUE SOONNN

Answers

W= -1,-2
V=-3,-2
U=1,-2

find the area will mark brain list

Answers

Answer:

43

Step-by-step explanation:

18+10=28 10+5=15 15+28=43

HELP ASAP 20 POINTS BRAINLIEST

Answers

So the arrow goes through (-2 and -2) so your answer would be -4

-2+-2=-4

Hope this helps

look at this table
is this relation a function​

Answers

Answer:

i believe function !

Step-by-step explanation:

cuz im smart

Answer:

No

Step-by-step explanation:

The tables shows two inputs that are the same value which is not possible in a function

Kristin
spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost
$15. If she bought a total of 7 then how many of each kind did she
buy?

Answers

I’ve attached my work...
Hope it helps!

Evaluate 1/2(1/4)+3/8=

Answers

Step-by-step explanation:

1/2(1/4)+3/8=1/8+3/8=(1+3)/8=4/8=1/2

4/8 or simplified 1/2

Explanation

Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest
will he earn in 2 years?

Answers

Answer:

He will earn 18 dollars in interest.

Step-by-step explanation:

I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!

Help please!! Will give 5 star rating for correct answer!!

Answers

Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

Lily and Wilder live 810 miles apart. If they leave at the same time and drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph, after how many hours will they meet?

Answers

Given:

Distance between Lily and Wilder = 810 miles

They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.

To find:

After how many hours will they meet?

Solution:

Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:

Relative speed [tex]=(55+80)\text{ mph}[/tex]

                         [tex]=135 \text{ mph}[/tex]

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{810}{135}[/tex]

[tex]Time=6[/tex]

Therefore, Lily and Wilder will meet after 6 hours.

True or False? The measure of a tangent-chord angle is twice the measure of
the intercepted arc inside the angle.

Answers

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc.

This means that the intercepted arc is twice the measure of the angle formed and not the other way round.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

which one is bigger 6000 grams or 5000 kg

Answers

Answer:

[tex]5000kg \: is \: greater.[/tex]

[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]

[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]

[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]

Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.


A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter


Yes, Can Change No, Can't Change

Answers

John has consumed 1,600 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,800 calories per day. How many calories does he have left to consume for the day? Is 1,000 a viable solution to this problem?

What is 5x+24=134 thank you so mich have a wonderful day

Answers

Answer:

x = 22

Step-by-step explanation:

5x + 24 = 134

134 - 24 = 110

110 / 5 = 22

x = 22

Help please!! What would you do to get "X" all by itself on the
left side of the equation?

Answers

Answer:

Add 1

Step-by-step explanation:

I hope this helps :)

Answer:

You would need to add one

Step-by-step explanation:

Since there is a negative one, you will get rid of it by adding one

(Just do the opposite of the the sign)

HAVE A GREAT DAY! :)

The value o -8/15 . 20/64 is

Answers

Answer:

-1/6 or in decimal -0.166667

Step-by-step explanation:

just simplified

1/4x2(4x+8y)-3/5x(25x2-20xy)​

Answers

Answer:

On the photo it shows all the steps you need. Next time you should make the multiplying symbol to this * instead it'll be easier to understand because if it was a or a multiply symbol

What is the vertex of f(x)=(x+3)2+4?

Answers

Answer:

Below.

Step-by-step explanation:

f(x)  =  a(x - j)^2  +  k is the standard vertex form where (j, k) is the vertex,

f(x) =     (x + 3)^2 + 4

Comparing this to the standard form we see that:

vertex =  (-3, 4)

if the force of an object is 100N and the mass is 25Kg, what is the acceleration?

Answers

Answer:

4ms-²

Step-by-step explanation:

Applied Force=100N

Mass of the object=25Kg

Let the acceleration be 'a'.

Force=Mass*Acceleration

100=25*a

100/25=a

4=a

a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box

Answers

Answer:

r= 10

Step-by-step explanation:

A math class has 24 scholars. Each scholar earns 2 HERO points for coming to class and turning in homework on time. The function H(s) = 2s describes the total number of HERO points awarded where s represents the number of scholars. Michael says 31 is a possible output for this scenario. Do you agree or disagree? EXPLAIN for full points.

Answers

H=2s

31=2s

S=31/2=15.5 scholars

Answer:no

Step-by-step explanation:

Tia rounds a number, x , to 3 sf. The result is 9.73. Write the error interval for x in the form a ≤ x < b .

Answers

Answer: 9.725  ≤ x ≤ 9.734

Step-by-step explanation:

We know that 9.73 is rounded, then we need to look at the next digit after the last one of 9.73, this would be the third digit after the decimal point.

We know that if this digit is smaller than 5, then we round down.

Then the largest number that can be rounded down to 9.73 is:

9.734

Now we want to find the smallest number that can be rounded up to 9.73

We know that if the next digit is 5 or bigger, then we round up.

Then the number 9.725 is rounded up to 9.73

And this is the smallest number that can be rounded up to 9.73

Then the error interval is:

9.725  ≤ x ≤ 9.734

Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]

Answers

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

(h,k) is the centrer is the redious

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

centre:(h,k)=(-2,-4)redious:r=3

and we are done!

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

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