All categories

3 years ago

Solve the system of linear equations by elimination. 2x+5y=16 3x−5y=−1

Mathematics

1 answer:

andrew11 [14]3 years ago

5 0

Hope you can read my handwriting XD You can see the rest when you open the picture.

You might be interested in

The number of bacterial cells, B, in a container after t hours is given by B=25x2t After how many hours will there be 400 bacter

Nikitich [7]

Answer:

8 hours

Step-by-step explanation:

We have that;

B = number of bacterial cells, B, in a container after t hours

t = time taken in hours

The function is;

B=25x2t

Where B = 400 bacterial cells

400 = 25x2t

t = 400/25x2

t = 8 hours

5 0

3 years ago

Can someone tell me what x equals

Troyanec [42]

X=22. The supplementary angle is 90°, so the 66° angle, plus (x+2) has to add up to 90° too.

4 0

3 years ago

Please help me its about solving system by substitution

zheka24 [161]

Answer:

heres an example of substitution in a world problem. hope this helps on some other problens

5 0

3 years ago

PLEASE HELP ASAP WILL MARK BRAINLIEST Solve the quadratic equation 18x^2 -153x -172 =0

Vika [28.1K]

Answer:

The answer is : x = 9.505 and x = -1.005

Step-by-step explanation:

To solve the quadratic equation use the formula :

$x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}$

Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term

∵ a = 18 , b = -153 and c = -172

∴ $x=\frac{-(-153)+\sqrt{(-153)^{2}-4(18)(-172) } }{2(18)}$

$x = \frac{18+\sqrt{35793} }{36} &x=\frac{18-\sqrt{35793} }{36}$

∴ x = 9.505 and x = -1.005

8 0

3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago