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2 years ago

Use any method to solve the equation.if necessary, round to the nearest hundredth. 8x^2-48=0

Mathematics

1 answer:

dlinn [17]2 years ago

5 0

Answer:

x = ± 2.45

Step-by-step explanation:

Given

8x² - 48 = 0 ( add 48 to both sides )

8x² = 48 ( divide both sides by 8 )

x² = 6 ( take the square root of both sides )

x = ± $\sqrt{6}$ = ± 2.45 ( nearest hundredth )

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-4x+y= 6 <br>-5x-y=21 what is the answer

bekas [8.4K]

Answer:

x=15

Step-by-step explanation:

21-6=15

-4x+y=-5x-y=15

x+y=-y=15

x=15

6 0

3 years ago

Help,very easy question but i can't understand<br>

ella [17]

Answer:

Step-by-step explanation:

10 is the greatest common factor that you can divide into both 40 and 50.

8 0

2 years ago

Read 2 more answers

Solve the proportion. 5/7=x/35

cestrela7 [59]

Answer:

x = 25

Step-by-step explanation:

$\frac{5}{7} = \frac{x}{35} \\ \\ x = \frac{5 \times 35}{7} \\ \\ x = 5 \times 5 \\ \\ \huge \red{ \boxed{ x = 25}}$

6 0

3 years ago

You are opening a savings account with $500 that you have saved. The bank offers 3.2% interest, compounded yearly. How much mone

Nuetrik [128]

Answer:

You will have $623.3441462 in your account after 7 years

Step-by-step explanation:

The formula of the compounded interest is A = P $(1+\frac{r}{n})^{nt}$ , where

A is the new value

P is the initial value

r is the rate in decimal

n is the number of periods

t is the time in years

∵ You are opening a savings account with $500

∴ P = 500

∵ The bank offers 3.2% interest, compounded yearly

∴ r = 3.2% ⇒ divide it by 100 to change it to decimal

∴ r = 3.2 ÷ 100 = 0.032

∵ The interest is compounded yearly

∴ n = 1

∵ The time is 7 years

∴ t = 7

→ Substitute these values in the rule above to find A

∵ A = 500 $(1+\frac{0.032}{1})^{1(7)}$

∴ A = 500 $(1.032)^{7}$

∴ A = 623.3441462

∴ You will have $623.3441462 in your account after 7 years

8 0

2 years ago

The endpoints of GE are located at G(–6, –4) and E(4, 8). Using slope-intercept form, write the equation of GE.

lesya692 [45]

Answer:
Equation of the line is:
y = 1.2x + 3.2

Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
The slope of the line can be calculated using the following formula:
m = $\frac{y2 - y1}{x2 - x1}$

We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m = $\frac{8--4}{4--6} = 6/5$

The equation of the line now is:
y = 1.2x + c

2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2

Therefore, the equation of the line is:
y = 1.2x + 3.2

Hope this helps :)

4 0

2 years ago