The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions

8x+5 > 7x -4

X+5> -4

X> -9

Answer:

8x + 5 > 7x - 4

x > -9

Step-by-step explanation:

Five more than eight times a number

8x + 5

is greater than

>

four less than seven times the number

7x - 4

All together:

8x + 5 > 7x - 4

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

Solve:

Subtract 7x from both sides

x + 5 > -4

Subtract 5 from both sides

x > -9

The value of x and y is 2 and 11.5

The sum of the interior angle of a triangle is 180 degrees.

Since LMN and PQR are similar, hence:

m<L = m<P

m<M = m<Q

m<N = m<R

Given the following parameters

m< L = 40 degrees

m<M = 90 degrees

m<P = 17x - y

m<R = 2x + 4y

Get the measure of m<N

m<M + m<N + m<L = 180

90n+ m<N + 40 = 180

m<N = 180 - 130

m<N = 50degrees

Since m<P = m<L, hence;

17x - y = 40 ....... 1

Also m<R = m<N

2x + 4y = 50 .......... 2

Solve simultaneously

17x - y = 40 ....... 1  * 4

2x + 4y = 50 .......... 2 * 1

___________________________

68x - 4y = 160

2x + 4y = 50

Adding both equations

68x + 2x = 160 + 50

70x = 210

x = 2

Substitute x = 3 into the equation 2x + 4y = 50

2(2) + 4y = 50

4 + 4y = 50

4y = 50 - 4

4y = 46

y = 46/4

y =  11.5

Hence the value of x and y is 2 and 11.5

Learn more here: https://brainly.com/question/15165519

Answer:

[tex](0.1)^2[/tex]

Step-by-step explanation:

The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.

Hey there!

Option A.

0.01^4

= 0.01 * 0.01 * 0.01 * 0.01

= 0.0001 * 0.0001

= 0

Option B.

0.1^4

= 0.1 * 0.1 * 0.1 * 0.1

= 0.01 * 0.01

= 0.0001

Option C.

0.01^3

= 0.01 * 0.01 * 0.01

= 0.001 * 0.01

= 0.00001

Option D.

0.1^2

= 0.1 * 0.1

= 0.01

“ 0.01 > 0.0001 > 0.00001 > 0”

Therefore, your answer should be: 0.1^2 (option D)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

i have no idea1233930494

Answer:

0,3,6, and 30

Step-by-step explanation:

Answer:

To solve for h, isolate the “h” on one side of the equation.

Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.

4-14h=60

Subtract 4 from both sides.

-14h=56

Divide both sides by -14.

h=-4

Hope this helps! :)

Answer:

h = -4.

Step-by-step explanation:

4-6h-8h=60

4-4-6h-8h = 60-4

-14h = 56

h = 56/-14

= -4.

Answer:

your answer would be 10x-45

Step-by-step explanation:

Answer:6,000 is the answer

Step-by-step explanation:

Answer:

It's obtuse.

Step-by-step explanation:

Mumble. Smells al-kashi laws of cosine to me.

[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]

Now, we don't need to calculate the RHSs, and then:

If at least one of the three LHSs is greater than zero, the triangle is obtuse

If at least one is zero, it's a right triangle (pythagorean theorem anyone?)

if all three numbers are less than zero, the triangle is acute

Start crunching numbers.

[tex]139-73-36 = 30[/tex] First try was  the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED

Answer:

x=4

Step-by-step explanation:

2x=8

÷2

x=4

if you want a fraction then  4/1 which is the same thing as saying 4

Answer:

40%

Step-by-step explanation:

6 divided by 15 times 100 = 40

Answer:

40

(40%)

Step-by-step explanation:

6 / 15 = 0.4

0.4 * 100 = 40%

We can check this by doing 40% times 15;

15 * 0.4 = 6 ✓

It checks :D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

sdd

Step-by-step explanation:

seds

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

The rate of net flow of the water = Water outgoing - Water ingoing

The rate of net flow of the water = 8/9 - 4/9

The rate of net flow of the water =4/9

The change in the amount of liquid in the tub after 1/3 minute is,

=4/9 × 1/3

=4/27

Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

y - 1.4x = - 6.8

Step-by-step explanation:

To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.

Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]

Use point slope form: y - y₁ = m(x - x₁)

Plug in x = 27, y = 31, and m = 1.4

y - 31 = 1.4(x - 27)

y - 31 = 1.4x - 37.8

y = 1.4x - 6.8

Convert this into standard form: ax + by = c

y - 1.4x = - 6.8

Answer:

Step-by-step explanation:

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

Step-by-step explanation:

That's the answer! hope it helped!

Answer:

d

Step-by-step explanation:

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Answer: 2.666... pounds

Step-by-step explanation:

Because 3/4 of a cup is 2 pounds, we can divide 2 by 3 to get how much 1/4 of a cup weighs.

2/3 = 0.666...

Multiply that by 4 to get 4/4 (1) and you get:

4 * 0.666...

= 2.666...

2.666... pounds

percent of water is: 32/80*100= 40%

Answer:

x=0

Step-by-step explanation:

4x+9-x-3x=9

4x-x-3x=9-9

0x=0

x=0

Answer:

B) <

Step-by-step explanation:

Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.

Hopefully that's helpful! Good luck on your quiz. :)

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

Answer:

5²+3³= 25+27=52

Step-by-step explanation:

hope it helps you