If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

Answer: answer is 1

Step-by-step explanation:

Slope(m) of the line = change in y/change in x

y2 - y1/x2 - x1

Locate the coordinates points: (-2, -8) and (-3, -9) ?

X1= -2, X2=-3

Y1= -8, y2= -9

Slot in the values into the equation:

m = -9 - (-8)/-3 - (-2)

-9 + 8/ -3 +2

= -1/ -1

=1

I hope this helps.

Answer:

(r+3)(r-5)

Step-by-step explanation:

r^2-2r-15

(r+3)(r-5)

+3-5=-2

+3*-5=-15

Answer:

The length is r + 3 and the width  r - 5..

Step-by-step explanation:

r^2 - 2r - 15

= (r - 5)(r + 3)

The length is r + 3 and the width  r - 5

Answer:

62.8 feet

Step-by-step explanation:

Radius of the fencing is:

6+4 = 10 feet

Circumference = 2×pi×r

= 2×pi×10

= 20pi

= 62.83185307 feet

Answer:

Step-by-step explanation:

Given that,

11/20 + c = 3/4

Subtract 11/20 from both sides of the equation to eliminate 11/20

11/20-11/20+c=3/4-11/20

c= (15-11)/20

c=4/20

c=1/5

Answer:

[tex]x=st[/tex]

[tex]y=-5t[/tex]

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

Let

s ----> the speed in units per second

d ---> the distance in units

t ---> is the time in seconds

BUG A

we have

[tex]d=18\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{18}{3}=6\ units/sec[/tex]

If x is the point reached by A after t seconds

then

Multiply the speed by the time

[tex]x=st[/tex]

[tex]x=6t[/tex]

BUG B

we have

[tex]d=-15\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{15}{3}=5\ units/sec[/tex]

If y is the point reached by B after t seconds

then

Multiply the speed by the time

[tex]y=st[/tex]

[tex]y=-5t[/tex]  ----> is negative because B is moving in the negative direction

Answer:

x = 6t

y = 5t

Step-by-step explanation:

We know the distance formula:

D = RT

Where

D is distance

R is speed

T is time

Bug A went 18 units after 3 seconds, so the speed is:

18 = R(3)

R = 18/3

R = 6 unit/sec

Bug B went 15 units in 3 seconds, so the speed is:

15 = R(3)

R = 15/3

R = 5 units/sec

x is reached by A after 3 seconds, so

x = 6t

y is reached by B after 3 seconds, so

y = 5t

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

[tex]2x - 15 = y[/tex]

Answer:

a^2 = c^2 - b^2    

Step-by-step explanation:

With the pythagorean therom you have a^2 + b^2 = c^2

Therefore a^2 = c^2 - b^2     you get this by subtracting b^2 from both sides

Once you have all the numbers you can just get the square root of them and youll have what a is

Answer:

k = -7/9

Step-by-step explanation:

9k + 3 = -4

9k = -7

k = -7/9

On the number line just make a closed circle at -7/9. No line would be drawn, just the dot

-7/9 would be between 0 and -1, closer to -1

Answer:

k = -7/9

Step-by-step explanation:

If the equation is, 9k + 3 = -4, then;

9k =-4-3,

9k =-7,

k=-7/9

and on a number line just show a point with value -7/9, there is no inequality here

Answer:

Step-by-step explanation:

2x-6=48

2x=42+6

2x=48days

x=24days

The employee worked 16 days and the employer worked 26 days to reach the total of 42 days both worked.

This problem can be solved using algebraic expressions. Let's denote the number of days the employee worked as 'e'. According to the problem, the employer worked (e+6) days, since he lacked 6 days of working twice as many days as his employee (2e-6). Then, combining these gives the equation (2e-6) + e = 42 (the total number of days they both worked). We can simplify this equation by adding like terms and getting 3e - 6 = 42. Solving for 'e' will give us the number of days the employee worked. First, add 6 to both sides of the equation making it 3e = 48. Then, divide both sides by 3 to solve for 'e'. Thus, e = 16. This means the employee worked 16 days. The employer, having worked (2e-6) days, worked (2*16-6) = 26 days.

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Answer:

k=2.1

Step-by-step explanation:

k/3.5  + 7.4 = 8

Subtract 7.4 from each side

k/3.5  + 7.4 -7.4 = 8-7.4

k/3.5 = .6

Multiply each side by 3.5

k/3.5 *3.5 = .6 *3.5

k = 2.1

Final answer:

The derivative of the sum of functions f and g at x = 3 is calculated by adding the derivatives of f and g at 3. Given that f'(3) = 4 and g'(3) = 0, the derivative (f + g)'(3) equals 4.

Explanation:

The student is asking about the derivative of a sum of two functions at a specific point, which is a concept covered in calculus. From the given information, we know that:

To find (f + g)'(3), we apply the rule for the derivative of a sum of functions, which states that:

(f + g)'(x) = f'(x) + g'(x)

Therefore, (f + g)'(3) is:

(f + g)'(3) = f'(3) + g'(3)

(f + g)'(3) = 4 + 0

(f + g)'(3) = 4.

Thus, the derivative of the sum of functions f and g at x = 3 is 4.

34 base five to 34 base ten is 19.

Step-by-step explanation:

Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table

Base- 5    Base-10

 1                     1

 2                    2

 3                    3

 4                    4

 10                  5

 12                    6

 13                    7

 14                    8

 20                    9

.......                  ....

34                 19

34 base five to 34 base ten is 19.

Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10

5 1

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

3 4

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

5 (3)+ 1(4) = 15+4 = 19

Answer:

The acceleration is

[tex]4.5 {ms}^{ - 2} [/tex]

Step-by-step explanation:

Use the equation of motion,

[tex]v = u + at[/tex]

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

[tex]9 = 0 + a(2)[/tex]

This means that;

[tex]9 = 2a[/tex]

Divide both sides by 2 to get:

[tex]a = \frac{9}{2} [/tex]

[tex]a = 4.5 {ms}^{ - 2} [/tex]

Answer:

D

Step-by-step explanation:

Congruent sides mean that they have "EQUAL" lengths.

So, to prove to sides are congruent means that their lengths are equal.

Slope gives the slope of a line. So this can't be it.

Area gives the area of figure. Nothing to do with congruency of 2 lines.

Midpoint formula gives the coordinates of the midpoint. Nothing here.

Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"

Correct answer is D

Answer:

0.11

Step-by-step explanation:

You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.

Then you would convert the fraction to a decimal: 0.11.

An easier way could also be to take the percentage and move it two decimal places to the right.

Ex: 43% moved two decimal places to the right would be 0.43.

I hope this helps!

Answer:

0.11

Step-by-step explanation:

Answer:

-708,588

Step-by-step explanation:

If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.

Answer:

45.4

Step-by-step explanation:

Answer:

22.75 square feet

Step-by-step explanation:

If the length and width are halved, then:

7 ÷ 2 = 3.5

13 ÷ 2 = 6.5

A = L · W

3.5 · 6.5 = 22.75 square feet

~Hope this helps!~

Answer:

p = 0.2

Step-by-step explanation:

Step 1:  Distribute

29.91 - 1.35p = -5.7(-6p - 4)

29.91 - 1.35p = 34.2p + 22.8

Step 2:  Add 1.35p to both sides

29.91 - 1.35p + 1.35p = 34.2p + 22.8 + 1.35p

29.91 = 35.55p + 22.8

Step 3:  Subtract 22.8 from both sides

29.91 - 22.8 = 35.55p + 22.8 - 22.8

7.11 = 35.55p

Step 4:  Divide both sides by 35.55

7.11 / 35.55 = 35.55p / 35.55

0.2 = p

Answer:  p = 0.2

Answer:

42 centimetres

Step-by-step explanation:

First, u have how many centimetres knitted over 1 night:

Answer:

C)-10

Step-by-step explanation:

negative divided by negative is positive.

-130 / -13 =10

Answer:

Option C, -10

Step-by-step explanation:

130 / -13

13 goes into 130 ten times

-10

Answer:  Option C, -10

Answer:

the number -5 is a real number

Step-by-step explanation:

real numbers are basically all numbers.... if you havent met complex numbers yet..

hopefuly this helped

:)

Answer:

the number -5 is a real number

Step-by-step explanation:

all the others are wrong.

Yes.

8 4/5 = 8 8/10 = 8.8

8.8 is greater than 8.08

Answer:

yes

Step-by-step explanation:

4/5 as a fraction is 8/10 and 8/10 as a decimal is 0.8 and 0.8 is greater than 0.08

Answer:

A: y = 2x + 3

Step-by-step explanation:

y intercept: 3

Slope is positive

Only option A satisfies both of the above

Answer:

22

Step-by-step explanation:

22 shows up twice and the rest of the numbers show up once.

Answer:22

Step-by-step explanation:

It appears most often.

Answer:

Table B is the correct answer.

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

[tex]x + 3y = 4[/tex]

[tex]3x - 5y = 8[/tex]

Then make x the subject in the first equation to get:

[tex]x = 4 - 3y[/tex]

Put this equation into the second equation to get:

[tex]3(4 - 3y) - 5y = 8[/tex]

[tex]12 - 9y - 5y = 8[/tex]

[tex] - 9y - 5y = 8 - 12[/tex]

[tex] -14y = - 4[/tex]

[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]

This means that:

[tex]x = 4 - 3 \times \frac{2}{7} [/tex]

[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]

Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.

Step-by-step explanation:

Step 1:

For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.

So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,

If parked for two hours charges are 7 + 1 (2) = $9.

Step 2;

To understand the pricing of the parking garage, we must plot the points of the graph.

The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...

So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.

So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,

If parked for two hours charges are 4 + 2 (2) = $8.

Step 3:

Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.

Statement B and D are the same.

Answer:

B

Step-by-step explanation:

Answer:

-56/75

Step-by-step explanation:

1/-5ab = 1 ÷ -5ab

we substitute the value of a = 3/7 and b = 5/8 into 1 / -5ab

we have

1/ -5 × 3/7 × 5/8 = 1/ -75/56

this can be written as

1 × 56/-75 = -56/75

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

[tex]3x + 4x - 1 + 90 = 180.[/tex]

[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]

So x = 13°. The angles are

[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

3x + 4x - 1 = 90⁰

7x = 91

x = 13

Angles are = 39 , 51⁰

Answer:

4[tex]\sqrt{13}[/tex] or 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pythagorean theorem:

your solution will differ based on which side is the hypotenuse

x = [tex]\sqrt{12^{2} -8^{2} }[/tex] =4[tex]\sqrt{5}[/tex]

or x = [tex]\sqrt{8^{2}+12^{2} }[/tex] = 4[tex]\sqrt{13}[/tex]