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

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

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:

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.)

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

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)

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

Answer:

(x+5)^2

x^2+25

so it's C

wish it helped

Answer:

I can't see clearly pls clear it out

Answer:

tha loojs hard

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 6 hope this helps

Answer:

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

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

Answer:

D) Angle VUX

Step-by-step explanation:

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

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

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:

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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: [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]

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

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:

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!!

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.

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

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

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;

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Step-by-step explanation:

(x= -1)(x=6)

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

brainiest pls

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

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: