Which matrix represents the system of equations shown?

Answer:

r = -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

6 + 18r = 20r - 18 - 4r

Step 2: Solve for r

Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

100=40+2m

100-40=60

2m=60

60 divided by 2=30

30 movies

Answer:

2m+40=100,  30 movies

Step-by-step explanation:

1 movie = 2 points

1 pass= 100 points

curently have 40 points so

100points = 40points +2points *m

solve for m:

2m+40 =100 subtract 40 from both sides

2m = 100-40

2m=60 divide both sides by 2

m=60/2

m=30

Answer:

the present value is 3,162 euros

Step-by-step explanation:

The computation of the present value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

3,200 euros = Present value × (1 + 0.012)^1

3,200 euros =  Present value × 1.012^1

Present value is

= 3,200 euros ÷ 1.012

= 3,162 euros

Hence, the present value is 3,162 euros

Answer:

y=20+1.5x

Step-by-step explanation:

The cost of renting a golf cart is equal to $20 plus $1.50 per hour.

let y=the cost of renting a golf cart

let x=the # of hours

y=20+1.5x

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

Answer:

1 is one of them

Step-by-step explanation:

Answer:

nc

Step-by-step explanation:

nc

Answer:

The equation which correctly relates x and y is y = 4x

Step-by-step explanation:

The equation of the direct variation is y = k x, where

∵ The variables x and y vary directly

→ Use the form of the equation above

∴ y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

∴ x = 13 and y = 52

→ Substitute them in the equation above to find k

∵ 52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

∴ 4 = k

∴ The value of k is 4

→ Substitute it in the equation

∴ y = 4x

∴ The equation which correctly relates x and y is y = 4x

Answer: Hope this helps

Answer:

10x2+x

Step-by-step explanation:

Answer:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

Step-by-step explanation:

Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.

This gives you: 1 - 4 - 7 + 10 = 0.

Because 0 = 0 is a true statement, you know that x = 1 is a solution.

This question is incomplete

Complete Question

A contestant in a game show has​ 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word​ "lose" suggest a positive integer or a negative​ integer? What integer represents a loss of 750​ points?

a) Positive, + 750

b) Positive , - 750

c) Negative , +750

d) Negative , - 750

Answer:

d) Negative , - 750

Step-by-step explanation:

We are told in the question that the contestant has 9000 points

Then he loses 750 points.

This means that the 750 points would be deducted from the 9000 points he the contestant has already.

The word lose is a negative and it carries the Subtraction (-) sign,

hence, lose suggests a negative integer which is given as:

-750

Option d is the correct option

Answer:

your answer is 18 look below for an explanation!

Step-by-step explanation:

please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?

because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)

Where:

[tex]h[/tex] - Height above the ground, measured in feet.

[tex]t[/tex] - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]

[tex]h(3\,s) = 2304\,ft[/tex]

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:

[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]

[tex]h(5\,s) = 2560\,s[/tex]

[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]

[tex]h(7\,s) = 2688\,s[/tex]

We notice that the small object ascends in the given interval.

[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]

[tex]\Delta h = 128\,ft[/tex]

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

Answer:

4.71 +3.80 =8.51

Step-by-step explanation:

Answer:

8.51

Step-by-step explanation:

4.71

+ 3.80

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

8.51

~Ren

Answer:

y=-2x-1

Step-by-step explanation:

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

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

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in  [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Answer:

55

Step-by-step explanation:

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 10 = 15

10 + 10 + 10 + 10 + 15 = 55

Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

Answer:

2:45 P.M

Step-by-step explanation:

Answer:

3:45

Step-by-step explanation:

8:00-5 hours and 15 min=3:45

Answer:

One solution, being x = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:r=12cm,h=18cm,v=?

Vol. Of a cylinder=Πr²h

V= Π×12²×18

V= Π×144×18

V=2592Πcm³

Answer:

15x=300,     x=20

20x=300,    x=15

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

15x=300

x will equal 20

20x=300

x will equal 15

Answer:

14.2%

Step-by-step explanation:

85+70= 155

155=100%

22=?

22×100%÷155

= 14.1935

hence answer is 14.2%