If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).

If F(x) = 2x^2 - 4x - 3' And `g(x) = (x - 4)(x + 4)", Find 'f(x) - G(x).

Answers

Answer 1

Answer:

B

Step-by-step explanation:

f(x) - g(x)

= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL

= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1

= 2x² - 4x - 3 - x² + 16 ← collect like terms

= x² - 4x + 13 → B


Related Questions

The table compares the sample characteristics of four countries. Based on the sample characteristics shown in the table, which country MOST LIKELY has the largest percentage of white-collar workers?
Ο Japan
Ο Hong Kong
Ο Taiwan
Ο Singapore

Answers

The correct answer is Taiwan

Answer:

Singapore

Step-by-step explanation:

I did japan and I got it wrong and it told me the right one was Singapore.

Hope this helps!

BRAINLIEST PLEASE!!

FROM: AUG1E

answer for brainilest and 10 points

Answers

Answer:15625

Step-by-step explanation:

5^2 is 25

5^4 is 625

625*25 = 15625

Answer:

15625

Step-by-step explanation:

When multiplying two exponents that have the same base, in this case 5, you can add the exponents.

(5^2)*(5^4)=5^6

5^6=5*5*5*5*5=15625

The other person's method is another good way, you can look at that too.

A number from 13 to 21 is drawn at random.
P( a prime number)

Answers

Answer:

Probability[Prime number] = 1/3

Step-by-step explanation:

Given:

Total number between 13 to 21;

13, 14, 15, 16, 17, 18, 19, 20, 21

Find:

Probability[Prime number]

Computation;

Total number between 13 to 21 = 9

Total number of prime number;

13, 17 ,19

Total number of prime number = 3

Probability pf event = Number of favorable output / Total output

Probability[Prime number] = Total number of prime number / Total number between 13 to 21

Probability[Prime number] = 3 / 9

Probability[Prime number] = 1/3

helpppppp

giving brainliest

Answers

Answer:

6.25 lb and 100 oz

Step-by-step explanation:

One lb (Pound) is equal to 16 oz (Ounce). Therefore, 100 oz equals...

100 oz / 16 = 6.25 lb

and

100 oz = 100 oz

On a basketball court there is a semicircle above the free throw line that has a radius of 7 find the area of semicircle

Answers

Answer: [tex]77\ \text{sq. units}[/tex]

Step-by-step explanation:

Given

The radius of the semi-circle is [tex]r=7[/tex]

We know, area of the circle is [tex]\pi r^2[/tex]

So, the area of the semi-circle is half of it i.e. [tex]\frac{1}{2}\pi r^2[/tex]

Put the value

[tex]\Rightarrow \dfrac{1}{2}\times\pi \times 7^2=76.97\\\Rightarrow \approx 77\ \text{sq. units}[/tex]

The area of the semi-circle is [tex]77\ \text{sq. units}[/tex]

please help me do this question i cant seem to get it

Answers

Answer:

2 < x < 24

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

13 - 11 < x < 13 + 11

2 < x < 24

Question: Find the range of values of x such that the quadratic function f(x) = 6 + 5x - x² does not Intersect the x-axis.

help me pls 20 points
Thankss​

Answers

Step-by-step explanation:

(x= -1)(x=6)

[tex] {x}^{1} = - 1. {x}^{2} = 6[/tex]

brainiest pls

25. A sequence of positive integers with 2020 terms is called an FT sequence if each term
after the second is the sum of the previous two terms. For example, if the first two
terms of an FT sequence are 8 and 7, the sequence would begin 8,7,15,22,37,....
For some positive integer m, there are exactly 2415 FT sequences where the first two
terms are each less than 2m and the number of odd-valued terms is more than twice
the number of even-valued terms. What is the value of m?
(A) 21
(B) 69 (C) 115 (D) 35 (E) 105

Answers

Answer:

The first term in the sequence is odd-valued and so there are m choices for it.2020 Gauss Contest Solutions Page 19

The second term in the sequence is even-valued and so there are m − 1 choices for it.

Thus, there are a total of m × (m − 1) FT sequences that begin with an odd-valued term

followed by an even-valued term.

Finally, we consider the FT sequences that begin with an even-valued term followed by an

odd-valued term (Parity #4).

Again, there are exactly twice as many odd-valued terms as there are even-valued terms in the

first 2019 terms (since the pattern repeats even, odd, odd).

However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.

Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.

Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and

error.

Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater

than 30.

When m = 33, we get 332 + 33 × 32 = 2145.

When m = 34, we get 342 + 34 × 33 = 2278.

When m = 35, we get 352 + 35 × 34 = 2415, as required.

Answer: (D)

Step-by-step explanation:

Find the value of X...................................................................

Answers

X=20
Combine like terms

Answer and Step-by-step explanation:

To find the value of x, we must add together the two angles, and equal it to 180.

7x + x + 20 = 180

8x + 20 = 180

Subtract 20 from both sides.

8x = 160

Now divide each side by 8.

x = 20

We get the result to be 20 = x.

#teamtrees #PAW (Plant And Water)

Please help! I need the work for this.
This is the problem 6⁴=1296
And this is the answer log₆1296=4

Answers

Answer:

Step-by-step explanation:

x = 6 hope this helps

What is the highest degree of the graph shown above?
a 5
b 60 degrees
c 4
d Not enough information to answer the question

Answers

D. Not enough information to answer

Explain: because the sticky note it’s covering it and there’s no numbers.

ANSWER FOR BRAINLIEST AND 50 POINTS:

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer:

Mean of temperatures = 82.3 (Approx.)

Step-by-step explanation:

Given:

Number of days = 7 days

Temperatures in 7 days = 81, 78, 83, 89, 80, 87, 78

Find;

Mean of temperatures

Computation:

Mean = Sum of all observation / Number of observation

Mean of temperatures = Sum of all seven days temperature / Number of days

Mean of temperatures = [81 + 78 + 83 + 89 + 80 + 87 + 78] / 7

Mean of temperatures = 576 / 7

Mean of temperatures = 82.2857

Mean of temperatures = 82.3 (Approx.)

How do I do this problem

Answers

Answer:

The Ross family used it for 15 hours

The Watson family used it for 20 hours

Step-by-step explanation:

We can rewrite this word problem using variables.

[tex](x*40)+(y*20)=1000[/tex] and [tex]x+y=35[/tex]

Now we can split 35 between x and y. Since 35 can't be split into a whole number, I have split it into 17 and 18

(17*40) + (18*20) = 1040

This is close but 40 too much. Since this is 40 off, we need to move 2 more hours to the Watson family.

(15*40) + (20*20) = 1000

This means -

The Ross family used it for 15 hours

The Watson family used it for 20 hours

A number is increased by 5, and then squared. The expression which correctly represents this quantity is A) x + 25 B) x2 + 10 C) x2 + 25 D) x2 + 10x + 25 plz help its 20 points

Answers

Answer:

(x+5)^2

x^2+25

so it's C

wish it helped

The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answers

Answer:

x = price of adult tickets = $7

y = price of students tickets = $6

Step-by-step explanation:

Let

x = price of adult tickets

y = price of students tickets

7x + 7y = 91 (1)

14x + 12y = 170 (2)

Multiply (1) by 2 to

14x + 14y = 182 (3)

14x + 12y = 170 (2)

Subtract (2) from (3) to eliminate x

14y - 12y = 182 - 170

2y = 12

y = 12/2

y = 6

Substitute y = 6 into (1)

7x + 7y = 91 (1)

7x + 7(6) = 91

7x + 42 = 91

7x = 91 - 42

7x = 49

x = 49/7

x = 7

x = price of adult tickets = $7

y = price of students tickets = $6

50 points and brainliest

Answers

Answer:

I can't see clearly pls clear it out

Answer:

tha loojs hard

Step-by-step explanation:

HELP WITH PROBABILITY QUESTION

A classmate designs a game. The game requires a player to choose a card and roll a die. Does it matter if the die is rolled first or the card is chosen first? Explain your answer.

Answers

Answer:

No, it doesn't matter as they are mutually exclusive events. So, the occuring of one event does not effect another event.

The equation of a line is 3x−5y=8. Select three lines that are parallel to the given line.

Answers

Answer:

The Given Equation is

3x - 5y = 8

Slopes of paralell lines are equal

So option 3, 4, 5 are correct

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

Hope it helps..

Have a great day!!!

All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of parallel line is,

⇒ 3x - 5y = 8

Slope of parallel lines are,

⇒ m = 3/5

Now, We know that;

Slope of parallel lines are same ton each other.

For equation 1;

5x - 3y = 1

3y = 5x - 1

y = 5/3x - 1

dy/dx = 5/3

For equation 2;

9x - 10y = 16

10y = 9x - 16

y = 3/5x - 1

dy/dx = 3/5

For equation 3;

10y = 6x + 12

y = 6/10x + 12

dy/dx = 6/10 = 3/5

For equation 4;

12x - 20y = 24

20y = 12x - 24

y = 12/20x - 1

dy/dx = 12/20 = 3/5

For equation 5;

3x - 5y = 1

5y = 3x - 1

y = 3/5x - 1

dy/dx = 3/5

Thus, All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Hi guys please help me out I would appreciate it thank you so much

Answers

Answer:

D) Angle VUX

Step-by-step explanation:

Find the area of this shape

Answers

22*22+22*22 I think is the answer which would give you 968 yds. Hope this helps:)

Can someone help me find the volume and surface area of this block ty

Answers

It is b. Yyyuyuhhhhhhhhhyyyuu

Answer:

Volume is 125cm cubed

Surface Area is 150 cm squared

Step-by-step explanation:

Volume, you do length times width times height

5 times 5 times 5

Volume equals 125

Surface Area, You do base times height times 6

5 times 5 times 6

Surface Area equals 150

yw

Write the translation T‹1, -3› (x,y) as a composition of a horizontal translation and a vertical translation.

Answers

What’s up how you doing ? Stay safe

The translation T‹1, -3› (x, y) can be expressed as a composition of a horizontal translation and a vertical translation as (x + 1, y - 3).

To express the translation T‹1, -3› (x, y) as a composition of a horizontal translation and a vertical translation, we can break it down into two separate translations:

Horizontal translation: T‹1, 0› (x, y)

This translation shifts the coordinates of a point horizontally by 1 unit without affecting the vertical position. It can be expressed as (x + 1, y).

Vertical translation: T‹0, -3› (x + 1, y)

This translation shifts the coordinates of a point vertically by -3 units without affecting the horizontal position. It can be expressed as (x + 1, y - 3).

Combining these two translations, we get the composition:

T‹1, -3› (x, y) = T‹0, -3› (x + 1, y) = (x + 1, y - 3)

To learn more about translation;

https://brainly.com/question/2373420

#SPJ4

PLEASE HELP ASAP

In the diagram, y= x-15 and z=125. What is the value of x?

Answers

Answer:

x = 70

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is ab exterior angle of the triangle , then

x + y = z , that is

x + x - 15 = 125

2x - 15 = 125 ( add 15 to both sides )

2x = 140 ( divide both sides by 2 )

x = 70

w - 4 > -10
Solve the inequality for W

Answers

The answers is w>-6 you’re welcome

HELP
Please help me

Answers

A is the right answer to you question

Answer:

A) [tex]f^{-1} (x)=\frac{5x+3}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{2x-3}{5}[/tex]

[tex]y=\frac{2x-3}{5}[/tex]

[tex]x=\frac{2y-3}{5}[/tex]

[tex]\frac{5x+3}{2} =y[/tex]

[tex]y=\frac{5x+3}{2}[/tex]

So option (A)

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

hope it helps...

have a great day!!

Question 2
Which function appears to increase fastest as x gets larger and larger, and will eventually have exceed the other function values?

Answers

Answer:

K. because it's going into a straight line and the other ones are going in lopes which means it might appear to increase slowly but if you notice the k line is going in a straight line which probably means that's your answer.

Answer:

K. because it's going into a straight line and the other ones are going in lopes which means it might appear to increase slowly but if you notice the k line is going in a straight line which probably means that's your answer.

Step-by-step explanation:

Solve for x..................

Answers

Answer:

x = 4

Step-by-step explanation:

(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.

Knowing that, we can do the following:

(5x+19) + (5x+131) = 1805x + 19 + 5x + 131 = 18010x + 140 = 18010x = 40x = 4

-5 + 6a + (-8) + (-3a)=

Answers

Answer:

-5+6a+(-8)+(-3a)=

-13+3a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:3a and -13

Step-by-step explanation:

hope it helps

Find the perimeter of a triangle with sides
15 inches, 15 inches, and 21 inches in length.
A 30 inches
B 36 inches
51 inches
D 53 inches

Answers

the answer is 51. you add 15+15+21

Id like some help in this, thanks.

Answers

Answer:

80 cm²

Step-by-step explanation:

Given 2 similar figures with sides in the ratio a : b , then

ratio of areas = a² : b²

Here ratio of sides = 7 : 14 = 1 : 2

ratio of areas = 1² : 2² = 1 : 4

Thus area of B is 4 times area of A

area of B = 4 × 20 = 80 cm²

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