All categories

3 years ago

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8

Mathematics

1 answer:

barxatty [35]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Given

- 2(2x - 7)² = - 8 ( divide both sides by - 2 )

(2x - 7)² = 4 ( take the square root of both sides )

2x - 7 = ± $\sqrt{4}$ = ± 2 ( add 7 to both sides )

2x = 7 ± 2

2x = 7 - 2 = 5 or 2x = 7 + 2 = 9 ( divide both sides by 2 )

x = $\frac{5}{2}$

x = $\frac{9}{2}$

You might be interested in

Enzo is driving to his niece's t-ball game. his sister gave him directions. what will

just olya [345]

The direction given by Enzo's sister is an illustration of distance

Enzo's distance from the east of 1st avenue to the field is 6 miles

<h3>How to describe the directions?</h3>

From the question, we have the following directions:

Start at east of 1st avenue
Drive 3 miles
Make a 90 degrees right turn
Drive 1 mile
Turn at 90 degrees intersection
Drive 2 miles

The above directions imply that the total distance from the east of 1st avenue to the field is:

Distance = 3 miles + 1 mile + 2 miles

Evaluate the sum

Distance = 6 miles

Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles

Read more about distance at:

brainly.com/question/4931057

6 0

2 years ago

Read 2 more answers

Solve for x: 3(x - 2) = -9

Airida [17]

Answer:

X=-1

Step-by-step explanation:

3x-6=-9

3x=-9+6

3x=-3

x=-1

5 0

3 years ago

Please help me fast! I cant figure this out. PLEASE!!!!

ziro4ka [17]

c times a equals b a ssspppppppspspspspspsp

6 0

3 years ago

The owner of the Outdoor Furniture Center decides to use the 120% markup. At the end on

lana66690 [7]

Answer: The total price of a bench is 1.008x.

Step-by-step explanation:

Since we have given that

Let the cost price be 'x'.

Mark up % = 120%

So, Mark up value would be

$\dfrac{120}{100}x\\\\=1.20x$

Discount % = 20%

Amount of discount is given by

$\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x$

So, it becomes,

Amount after discount is given by

$1.2x-0.24x\\\\=0.96x$

Sales tax = 5%

Amount of sales tax would be

$\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x$

Hence, the total price of a bench is 1.008x.

6 0

4 years ago

Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1].

sattari [20]

$Z=U_{(1)}=\min\{U_1,\ldots,U_n\}$

has CDF

$F_Z(z)=1-(1-F_{U_i}(z))^n$

where $F_{U_i}(u_i)$ is the CDF of $U_i$ . Since $U_i$ are iid. with the standard uniform distribution, we have

$F_{U_i}(u_i)=\begin{cases}0&\text{for }u_i$

and so

$F_Z(z)=1-(1-F_{U_i}(z))^n=\begin{cases}0&\text{for }z$

Differentiate the CDF with respect to $z$ to obtain the PDF:

$f_Z(z)=\dfrac{\mathrm dF_Z(z)}{\mathrm dz}=\begin{cases}n(1-z)^{n-1}&\text{for }0$

i.e. $Z$ has a Beta distribution $\beta(1,n)$ .

3 0

3 years ago

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8​​

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8