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3 years ago

Writing an equation and drawing its graph to model a real-world situation: Advanced

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Assuming that rent will always be constant.
C= 250×S+ 7500 for S>0

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Factorise x squared + 3x + 2

Zielflug [23.3K]

Answer:

$(x + 2)(x + 1)$

Step-by-step explanation:

by factorising ;

=》

${x}^{2} + 3x + 2$

=》

${x}^{2} + 2x + x + 2$

=》

$x(x + 2) + 1(x + 2)$

=》

$(x + 2)(x + 1)$

i hope it helped.....

8 0

3 years ago

Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2

Arturiano [62]

Answer:

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0

3 years ago

I have 4 factors. Three of my factors are 1, 2, and 6. What is my fourth factor?

SIZIF [17.4K]

The 4th factor would be 3. You would find this out through a factor tree. If you don't know the original number when you start you look at your numbers. A factor of 1 usually goes with the highest number, assuming that the number 6 is the highest factor, that would be the original number. As 2 is the other known factor than we know that 3 has to be the last factor, because 2 x 3 = 6. It cannot be the number 12 because then there would be 6 factors not the needed 4.

7 0

3 years ago

A cab company charges $0.80 per mile plus $2 for tolls. Melissa has at most $16 to spend on her cab fare. Write and solve an ine

Anna35 [415]

Answer:

The maximum distance is 17.5 miles

No she can't make to the airport.

Step-by-step explanation:

Given the cab charges $0.8 per mile and $2 for tolls.

let the miles travelled by melissa be x.

The total charge is $ $(0.8*x+2)$

Now given that she can spend a maximum of $16

so the inequality is

$0.8*x+2\leq 16$

$0.8*x\leq 14$

$x\leq \frac{14}{0.8}$

$x\leq 17.5$

Therefore the maximum distance she can travel is 17.5 miles

Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.

3 0

3 years ago

Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).

Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

$y=ab^x$

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

$8=ab^4$ ...(1)