3 years ago

How many solutions does the equation have? -9 = |d+4|

Mathematics

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

2 solutions

Step-by-step explanation:

Set up a system of equations. The absolute value produces two equations because one answer will be negative and the other positive.

d + 4 = -9

d + 4 = 9

So...

d = -13

d = 5

You might be interested in

What is the transformation of f(x)=- (x + 2)2- 4

pychu [463]

Answer: x=0

Step-by-step explanation: f(x)=(x+2)x2-4

0=2x+4-4

0=2x

2x/2=0

0/2=0

x=0

6 0

2 years ago

The ratio of boys to girls in the class is 4 to 5. If there are 18 boys and girls in the

bearhunter [10]

Answer:

8 boys and 10 girls

Step-by-step explanation:

If the ratio is 4:5,

4x2 + 5x2 equal 8+10 =

18.

4:5=8:10

7 0

3 years ago

Read 2 more answers

Find the radius of convergence, R, of the series. ∞ (−1)n (x − 6)n 4n + 1 n = 0 R =

Rina8888 [55]

I'm guessing the series is

$\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(x-6)^n}{4n+1}$

Use the ratio test: we have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}(x-6)^{n+1}}{4n+5}}{\frac{(-1)^n(x-6)^n}{4n+1}}\right|=|x-6|\lim_{n\to\infty}\left|\frac{4n+1}{4n+5}\right|=|x-6|$

The series converges for

$|x-6|$

which has a radius of convergence of 1.

3 0

3 years ago

Make x the subject of the formula x(a-b)=a(b-x).

ddd [48]

Answer:

Hello,

Step-by-step explanation:

$x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0$

3 0

2 years ago

Read 2 more answers

Write these decimal fractions in words 42/100

hodyreva [135]

Forty two over one hundred

7 0

3 years ago

Read 2 more answers