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Law Incorporation [45]
3 years ago
13

Prove that there is a positive number x such that x^3=5

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

x^3=5\\ x=\sqrt[3]5


and \sqrt[3]5 is positive

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
3 years ago
Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
makkiz [27]

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

3 0
3 years ago
Please help!!!! i will give brainliest
FromTheMoon [43]

Answer:

The volume of a cylinder:

V \approx 150.796 ft^3

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

V = \pi r^2h

-Use the given height and radius for the formula:

V = \pi 4^2 3

-Then, solve the formula:

V = \pi \times 4^2 \times 3

V = \pi \times 16 \times 3

V = \pi \times 48

V = 48\pi \approx 150.796

So, the volume of a cylinder is approximately 150.796 ft^3 .

7 0
3 years ago
Which is equivalent to log<br> 2 18 = x-1<br> 18^2 = x-1<br> 2^18 =x-1<br> 18^х-1=2<br> 2^x-1= 18
uysha [10]

Answer:

it the second one

Step-by-step explanation:

b/c 18times it self 2in x-1 is just talking it a way bone

6 0
3 years ago
Can someone please help me with this!?!?!
lys-0071 [83]
They are congruent because of the angles, which means the congruency reason should be SAS.
4 0
3 years ago
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