All categories

3 years ago

Solve. -7x=x^2+12 help

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Hey There!

The answer to your problem is $x=-3$ or $x=-4$ both answers are correct!

Step 1: Subtract x²+12 from both sides.

−7x−(x²+12)=x²+12−(x²+12)

−x²−7x−12=0

Step 2: Factor left side of equation.

$(-x-3)(x+4)=0$

Step 3: Set factors equal to 0.

$-x-3=0$ or $x+4=0$

Get your answer:

$x=-3$ or $x=-4$

You might be interested in

Let f(x) represent a function.

STatiana [176]

Answer:

For $f(x+\frac{5}{4})$ , $f(x)$ is translated $\frac{5}{4}$ units left.

For $f(x)-\frac{5}{4}$ , $f(x)$ is translated $\frac{5}{4}$ units down.

Step-by-step explanation:

The transformation of $f(x)\rightarrow f(x+C)$ means that the graph shift to left by C units if C is positive number and shifts to right by C units if C is a negative number.

The transformation of $f(x)\rightarrow f(x)+C$ means that the graph shifts up by C units if C is positive number and shifts down by C units if C is a negative number.

Here, in the transformation of $f(x)\rightarrow f(x+\frac{5}{4}),C = \frac{5}{4}>0$ , so, the function translates left by $\frac{5}{4}$ units.

Similarly, in the transformation of $f(x)\rightarrow f(x)-\frac{5}{4},C = -\frac{5}{4}$ , so, the function translates down by $\frac{5}{4}$ units.

3 0

3 years ago

Miss Kirkland Works 40 hours on Mondays in 8 hours on Tuesdays in the school library during one week in May she worked 1/4 of he

Rashid [163]

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

8 0

3 years ago

Please help Three fourths a number is less than six plus the number

fredd [130]

Answer:

3/4x < (x+6)

Step-by-step explanation:

4 0

3 years ago

In 2009 there was an endangered population of 270 cranes in a western state. Due to wildlife efforts, the population is increasi

Vitek1552 [10]

Assuming compount interest format

$A=P(r+1)^t$ for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years

given
P=270
r=5%=0.05

the equaton is
$A=270(0.05+1)^t$ or
$A=270(1.05)^t$
for any year, 2009, is year 0, so if you wanted to input the year then
$A=270(1.05)^{t-2009}$ would be for t=what year it was

A. $f(x)=270(1.05)^t$

b. 2009 to 2020
2020-2009=11 years
t=11
$f(11)=270(1.05)^{11}$
f(11)=461.792
about 462 cranes

A. $f(x)=270(1.05)^t$
B. about 462

8 0

3 years ago

-3х + = 1000 = 2x + 800

MatroZZZ [7]

Answer: here u go

1000 2x+y

Step-by-step explanation:

5 0

3 years ago