All categories

3 years ago

Please help !! Which of the following are solutions to the equation below? check all that apply

Mathematics

2 answers:

Gala2k [10]3 years ago

7 0

I thike so i would -4 must help u a lot

notsponge [240]3 years ago

3 0

The solutions are: x = -5, 2 ;
which are Answer choices: [E] and [F] .
_________________________________________________
Given:
_________________________
x² + 4x − 9 = x + 1 ;
___________________________
Simplify, by subtracting "x" and "1" from EACH SIDE of the equation:
______________________________________________________
x² + 4x − 9 − x − 1 = x + 1 − x − 1 ;
__________________________________________
to get:
___________________________________________________
x² + 3x − 10 = 0 ;
________________________
Now, we can factor the left-hand side of the equation:
____________________________________________
x² + 3x − 10 = (x + 5) (x − 2); and rewrite the equation as:
________________________________________________
(x + 5) (x − 2) = 0 ;
________________________________________________
The solutions are: x = -5, 2 ;
which are Answer choices: [E] and [F] .
_________________________________________________

You might be interested in

Determine the values of k for which the equation has no solution

Naddik [55]

To solve this, we would need to figure out the values of $k$ for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.

If we rearrange this equation a little bit, we get,

$|2x+7|\leq 5+k$

So $5+k$ cannot be negative. So,

$5+k\geq 0\\k\geq -5$

For this to have a solution, k needs to be greater than or equal to $-5$ .

For no solution, k is less than -5. So, values of k which will make the equation to not have any solution is $k$ .

ANSWER: $k$

5 0

3 years ago

This is really confusing me: Simplify so that your answers contain only positive exponents.

xxTIMURxx [149]

Answer:

see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

$a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}$

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

$23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9$

3 0

3 years ago

The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is

luda_lava [24]

P = 390,00 + 4000x

450,000 people - (15years x 4000) = 390k in 2010

15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.

Sorry if my explanations suck, I'm not great at explaining my thought process

5 0

3 years ago

25 is 36% of what number

ch4aika [34]

Answer:

x = 69.44

Step-by-step explanation:

We have, 36% × x = 25

or, 36/100 × x = 25

Multiplying both sides by 100 and dividing both sides by 36,

we have x = 25 × 100/36

x = 69.44

If you are using a calculator, simply enter 25×100÷36, which will give you the answer.

4 0

2 years ago

Plz someone help me on this question I rlly need help

Sauron [17]

Step-by-step explanation:

you simply have to mark the points in which the x and y coordinates are given take for example "1,4" it took him 4 minutes to read 1 page right? the one is marked as X and the 4 is marked as Y so put a point in which the 1 at X and the 4 at Y meet in the coordinates system. Do so with every coordinates and then draw a line in the direction of all the points

8 0

3 years ago

Read 2 more answers