Use the zero product property to find the solutions to the equation x2 – 9 = 16.

Answers

Answer 1

Answer:

Answer: x=5 or x=−5

Step-by-step explanation:

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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

Answers

we have

$f(x)=x^(2)-2x-3$

Find the roots

Equate the function to zero

$x^(2)-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^(2)-2x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^(2)-2x+1=3+1$

$x^(2)-2x+1=4$

Rewrite as perfect squares

$(x-1)^(2)=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

the answer is

$x=3$

x^2 -2x -3 = 0

(x-3)(x+1)=0

x+1=0
x=-1

x-3=0
x = 3

so the missing number is 3

What does x-4over5=6over7 what doesx=

Answers

$x-(4)/(5)=(6)/(7)$

Pass the $(4)/(5)$ but change the signal

$x=(6)/(7)+(4)/(5)$

now we have to make the minimum common multiple of 7 and 5, this number will be 35 therefore

$x=(6*5)/(35)+(4*7)/(35)$

$x=(30)/(35)+(28)/(35)$

now we can add both

$x=(30)/(35)+(28)/(35)$

$x=(30+28)/(35)$

$\boxed{\boxed{x=(58)/(35)}}$

Answer:

0.56

Step-by-step explanation:

Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.

Answers

5m+3n+p+3n+2n-m = 4m+8n+p

Change the decimal 0.0112 to a fraction. A. 112/10,000 B. 112/100 C. 112/100,000 D. 112/1,000

Answers

option A, 112/10,000, is the correct fraction representation of the decimal 0.0112.

A fraction is a numerical representation of a part of a whole or a division of one quantity by another. It consists of two parts: a numerator and a denominator, separated by a horizontal line.

To convert the decimal 0.0112 to a fraction, we simply write the digits without the decimal point over the appropriate power of ten.

In this case, 0.0112 can be expressed as 112/10,000 (option A). The decimal point in 0.0112 is equivalent to dividing by 1 followed by four zeros. Simplifying the fraction, we get 112/10,000, which cannot be reduced further.

Therefore, option A, 112/10,000, is the correct fraction representation of the decimal 0.0112.

Learn more about fraction here

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The answer would be A. 112/10,000.

The answer would be that because: If we do 0.1001, it wouldn't be 112/100 or 112/1,000, and 112/100,000 is too big.

Hope this helped! c:

Through what angle does the minute hand of a clock turn in 12 minutes of time?

Answers

A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.

A car travels a distance of 110 miles in a time or 2.8 hours what Is its average speed rounded to 1dp

Answers

110/2.8=39.3 miles per hour

Answer:

39.3

its simple

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