3 years ago

Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

The answer is negative -40

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Due to inflation, a fixed quantity of money can buy 3% less every year. If Pam has enough in her wallet to buy 47 movie tickets

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3% x 10 years is 30%. 47 - 30% is 14.1 or 14

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3 years ago

Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ

N76 [4]

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

3 0

3 years ago

What two numbers add to 9 and multiply to -70

Alborosie

X, y - the numbers

The numbers add to 9 and multiply to -70.
$x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)$

The numbers are -5 and 14.

4 0

3 years ago

There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to ha

andre [41]

32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team

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3 years ago

Read 2 more answers

6 4/9 + 14 2/3= 5 1/4 – 3 3/5 =

dimulka [17.4K]

Refer to the attachments!!~