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3 years ago

Is the following statement true or false? The decimal equivalent of 9/4 is a repeating decimal.

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

False, it is not a repeating decimal
9/4 = 2.25

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Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0

Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3 and - 7

Step-by-step explanation:

Given equation:

$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

x = - 3, -7

Verify above values by multiply both terms,

(x + 3) (x + 7) = 0

$x^{2} + 7 x + 3 x + 21 = 0$

$x^{2} + 10 x + 21 = 0$ (so values obtained from factor method are correct)

Or, can use quadratic formula, for $a x^{2} + b x + c=0$ , the solutions are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

$x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}$

$x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}$

So,

When $x=\frac{-10+4}{2}=\frac{-6}{2}=-3$

When $x=\frac{-10-4}{2}=\frac{-14}{2}=-7$

Hence, the values for ‘x’ are - 3 and - 7

7 0

3 years ago

Helpppppp plz asap tyy

Alika [10]

12. is a :) hope this helps

5 0

3 years ago

Read 2 more answers

In the expression 10 7th the 7 is called

dlinn [17]

The denominator.....i dont really understand the question

3 0

3 years ago

Please help me with this math problem.

Nina [5.8K]

Answer:

x=25

Step-by-step explanation:

because of vertical angles theorem you set them equal to each other

4x+50=150

subtract 50 from both sides

4x=100

devide by 4 on both sides

x=25

5 0

4 years ago

Read 2 more answers

Which fraction represents the decimal 0.12 a) 1/12 b) 3/25 c) 4/33 d ) 33/4

almond37 [142]

Answer:

The fraction that represents the decimal 0.12 is 3/25

Step-by-step explanation:

step 1: find the place value of the last digit in 0.12

Since they are 2 digits in 0.12 the place value of last digit is the 100 th, therefore 0.12 is the same as 12/100

step 2: simplify 12/100 by dividing both the denominator and numerator by 4

that is 12 divide by 4 = 3 and 100 divide by 4 =25

therefore the fraction = 3/25

5 0

4 years ago

Read 2 more answers