If f(x)=2x−2 and g(x)=x2−8x+19, then f(x)=g(x) for what values of x?




x=−1 and x=−4


x=−3 and x=−7


x=1 and x=4


x=3 and x=7

Answers

Answer 1

Answer:

D)     x =3  and x =7

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x -2

                       g(x) = x² - 8x +19

Given that f(x) = g(x)

       ⇒  2x -2 = x² - 8x +19

      ⇒ x² - 8x +19 -2x +2 =0

   ⇒   x² -10x +21 =0

Step(ii):-

The factors are  x² -10x +21 =0

  ⇒  x² - 7x - 3x +21 =0

 ⇒ x( x-7) -3( x-7) =0

⇒ (x-3)(x-7) =0

    x =3  and x =7

Answer 2

Answer:

d: x=3 and x=7

Step-by-step explanation:


Related Questions

−5t=−45

Help

I need help thanks

Answers

Answer:

t=9

Step-by-step explanation:

You would just divide by 5 on both sides so you can get t= -9

A line passes through the points (10, 6) and (5, -2). What is its equation in slope-intercept form?​

Answers

Answer:

10=x

6=y

5=x

-2=y

10-5=5

6--2=8

5/8=0.625

y=mx+b

Step-by-step explanation:

The equation of a line in slope-intercept form through the points (10, 6) and (5, -2) y = (4/5)x - 6.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at

x = 0.

Given, A line passes through the points (10, 6) and (5, -2).

We know the equation of a line in slope intercept form is y = mx + b.

Where slope(m) = (- 2 - 6)/(5 - 10).

slope(m) = - 8/-10.

slope(m) = 4/5.

Now for the y-intercept,

- 2 = (4/5)×5 + b.

- 2 = 4 + b.

b = - 6.

Therefore the required line in slope-intercept form is y = (4/5)x - 6.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.

Answers

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

Find the number for x. (Divide)
8.2x=164​

Answers

x= 20

Divide both sides by 8.2 so x will be by itself. 164 divided by 8.2 is 20 so x=20

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

1/3 x + 1 = 5/6 x - 3

Answers

Answer:

x=8

Step-by-step explanation:

Step 1: Subtract 5/6x from both sides.

1/3x+1−5/6x=5/6x−3−5/6x

−1/2x+1=−3

Step 2: Subtract 1 from both sides.

−1/2x+1−1=−3−1

−1/2x=−4

Step 3: Multiply both sides by 2/(-1).

(2/−1)*(−1/2x)=(2/−1)*(−4)

x=8

X plus 10% = 132 what is X

Answers

Answer:

In Math An X means multiplication/multiply.

there are 60 inches in 5 feet how many inches are in 8 feet​

Answers

There are 96 inches in 8 feet

The granola Summer buys used to cost $6.00 per pound, but it has been marked up 15%.

How much does it cost her to buy 2.6 pounds of granola at the new price?

Answers

Answer: $17.94

Step-by-step explanation:

preciate your help I really need this

Answers

The answer is the second one : 1/3(b-21)

Which of the following must be true if triangle ABD = triangle CDB? 45 points goooo

Answers

Answer:

i think its c

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

If you use 20 cups of flour, how many teaspoons of vanilla should you use? *

Answers

Answer:

1/16

Step-by-step explanation:

You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used

x to the 2nd power minus 6 equals 1

Answers

Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

Answer:

x = ±√7

Step-by-step explanation:

Symbolically, we have x^2 - 6 = 1,  and so x^2 = 7, so that x = ±√7

What is the simplified value of the exponential expression 27 1/3

Answers

Answer:

3

Step-by-step explanation:

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.

Let x = the number of games played.

Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.


Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.

Answers

Answer:

The variable x should represent the amount of money left.

Step-by-step explanation:

im not sure but this one makes sense

Answer:

The Answer to this problem is (A)

St)ep-by-step explanation:

The variable x should represent the amount of money left.

Pls help ASAP. Mai solved the equation below incorrectly. Identify Mai's error then solve the equation correctly.

Answers

Hey mate we need picture in order to work.

18w2(squared) - w - 39​

Answers

Answer:

w = 1.5 and -1.44

Step-by-step explanation:

Given the quadratic equation 18w^2 - w - 39

Using the general formuls

w = 1 ±√1²-4(18)(-39)/2(18)

w =1 ±√1+2808/36

w =1 ±√2809/36

w = 1+53/36 and 1-53/36

w  = 54/36 and -52/36

w = 1.5 and -1.44

find the perimeter of a rectangular frame with sides of 4x - 1 and 6x +5

Answers

Answer:

p = 20x

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer: 20x+8

Step-by-step explanation

Got it correct!

PLZ HELP IGNORE THE 2 question i only need the 1st

Answers

Answer 5 by 6

Step-by-step explanation:

Answer:

D. 5 in by 6 in

Step-by-step explanation:

1/3=.33

15in x.33=5 in

18in x.33=5.96 in

(round up and you get 6)

What is 10% of 60? (I'm really confused)

Answers

Answer:

6

Step-by-step explanation:

there

Which number is not prime A.29 B.99 c.71 d.3

Answers

Answer:

sum like 99 becuz isz ur safest bet to get it right

Hey there!

Prime numbers are basically only approximately 2 FACTORS... 1 & that particular number

3 is PRIME because the only factors it has is 1 & 3 (so we can eliminate this as your possible answer)

29 is PRIME because it has 1 & 29 as its factors (we can eliminate this as your possible answer)

71 is PRIME because it has 1 & 71 as its factors as well! (So we can eliminate as your possible answer)

This leads Option B as your answer

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Is the expression a polynomial? If so, is it a monomial, binomial or trinomial? 8x-2

help please

Answers

Answer:

Its a binomial because there are only 2 terms. and 1 sign telling you to do work

Step-by-step explanation:

*muffled crying*







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

Answers

Answer:

-8 is the answer.

Step-by-step explanation:

3 - (-8) = 11

The negatives cancel to become a +

3 + 8 = 11

Think of 3 positive things and 8 negative things.

O O O  

O O O O O O O O

3 of the positive things will add onto the 8 positive things, resulting in 11  

#teamtrees #WAP (Water And Plant)

[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]

[tex]3 - 14 = 11[/tex]

I need help I need to find the error

Answers

Pvhbgggg uh hgyggg yvbb by j

Find the length of a segment in the coordinate plane with endpoints (-1,3) and (4, 5).​

Answers

Answer:

square root 29

Step-by-step explanation:

use the distance formula sqrt(x2-x1)^2+(y2-y1)^2  

sqrt(-1-4)^2+(3-5)^2= sqrt 29.

Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

708

Step-by-step explanation:

Answer

1.7/5

1

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Ace

2.4K answers

4.9M people helped

Given:

The cost of the T.V. for Colin = £ 800.

The rate of depreciation per year = 4%

Time period = 3 years

To find:

How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.

Solution:

To solve the above-given problem, we will use the following formula:

where

A = the final value after depreciation

P = the present value

R = rate of depreciation

n = time period

Now, on substituting the given values in the formula, we get

we will round the above answer to its nearest penny where appropriate

≈ £ 708

Thus, the worth of the t.v. in 3 years will be £ 708.

8) There are 14 animals in the barn. Some
are geese and some are goats. There are
52 legs in all. Ilow many of each animal
are there?

Answers

Answer:

There are 12 goats and 2 geese.

Step-by-step explanation:

X = geese; Y = goats

Geese have 2 legs each. Goats have 4 legs each.

2x + 4y = 52

There are 14 animals

x + y = 14

x = 14 - y

(replacement)

2(14 - y) + 4y = 52

(simplify)

28 - 2y + 4y = 52

28 + 2y = 52

2y = 24

y = 12

14 - 12 = 2

x = 2

Can I get some help with this question please?

Answers

Answer:

g would be 130 because it's a vertical angle with the 130 angle. h is 50 because it has to complement the 130 angle.

K is 74 because it's a vertical angle with the 74 angle, and m is 106 because it needs to complement with k.

Why I don't have information to find the missing lengths? ​

Answers

Answer:

yes

Step-by-step explanation:

Ask your teacher. Or is that what you need answered

How could you distinguish between traveling west at 5 miles per hour and traveling east at 5 miles per hour without using the words “east” and “west”?

Answers

Answer:

maybe you can say traveling to the left (west) and right(east) five miles per hour.

Step-by-step explanation:

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