All categories

3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

You might be interested in

What is the value of 4 1/3Ã·1/9?Enter your answer as a fraction in simplest form, like this: 3/14

Vlada [557]

Hey there!

$\bold{4\frac{1}{3}\times\frac{1}{9}}$
$\bold{4\frac{1}{3}=\frac{13}{3}}$
$\bold{\frac{13}{3}(\frac{1}{9})}$
$\bold{13\times1=13}$
$\bold{9\times3=27}$
$\boxed{\boxed{\bold{Answer:\frac{13}{27} }}}$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

8 0

4 years ago

Find the common difference in the arithmetic sequence where p35 =-9p + 4 and p28 = 5p - 17?

Sphinxa [80]

P(35) = -9p + 4 = -9(35) + 4 = -315 + 4 = -311
p(28) = 5p - 17 = 5(28) - 17 = 140 - 17 = 123

a + 34d = -311
a + 27d = 123

7d = -434
d = -62

Therefore, the commpm difference is -62.

6 0

3 years ago

Laura is graphing an absolute-value function in the form

Ilya [14]

Answer:

The equation of the function is;

y = |x-3| -3

Step-by-step explanation:

Here, we want to give the absolute-value function

For the minimum value to be -3, it means that k is negative

since the domain is the set of all real numbers, then we do not have any undefined value for the range y

So, the equation is ;

y = |x-3| - 3

7 0

3 years ago

consider the distance equation d=rt, where d is the distance (in feet), r is the rate (in feet per second), and t is the time (i

vesna_86 [32]

Answer:

yes, they are proportional

Step-by-step explanation:

A proportion is a relation that can be modeled by a straight line through the origin. The equation will have the form ...

y = kx

where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.

If you start with the equation relating distance, rate, and time:

d = rt

and you fix the time at 50 seconds, then the equation becomes ...

d = 50t

This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.

8 0

2 years ago

Concession stand sales for football games totaled $1,563. The actual cost for the food and beverages was $395. How much profit d

kicyunya [14]

Answer:

$1168 i think

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers