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Rama09 [41]
3 years ago
9

Find the x-intercept and y-intercept of the line. 7x+5y=-15

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

The x-intercept is (-2 1/7, 0).

The y-intercept is (0, -3).

Step-by-step explanation:

To find the y-intercept, substitute x with zero.

To find the x-intercept, substitute y with zero.

Finding the y-intercept by substituting x with zero:

7*0 + 5y = -15

5y = -15

y = -3

The y-intercept is (0, -3).

Finding the x-intercept by substituting y with zero:

7x + 5*0 = -15

7x = -15

x = -15/7

x = -2 1/7

The x-intercept is (-2 1/7, 0).

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: Mark wants to fence 4 rectangular gardens, each with a length of feet 9/1/4 and a width of feet 4/1/2 . What is the total leng
larisa [96]
The answer is 12/12/4 total length or if you turn it into a mixed number it will be 3/0/4 witch is 3 whole. hoped this helped you :)
8 0
3 years ago
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Spr
NeX [460]

Answer:

20.2057 Units.

Step-by-step explanation:

First, we determine the length of the cable.

Distance between Centerville (8,0) and point (x,0) is given as:  

  • \sqrt{(8-x)}^2=8-x

Distance between point (x,0) and Springfield(0,7) is:

\sqrt{(7-0)^2+(0-x)^{2}}=\sqrt{(7)^2+(x)^{2}}

Distance between point (x,0) and Shelvyfield(0,-7) is:

\sqrt{(-7-0)^2+(0-x)^{2}}=\sqrt{(7)^2+(x)^{2}}

Therefore the Length of the Cable L(x)

  • L(x)=(8-x)+2\sqrt{(7)^2+(x)^{2}}

To find the critical point, we set the derivative of L(x)=0

L^{'}(x)=-1+\frac{2x}{\sqrt{\left( 49 - x^{2}\right) }}

\frac{-\sqrt{\left( 49 - x^{2}\right)}+2x}{\sqrt{\left( 49 - x^{2}\right)}}=0\\-\sqrt{\left( 49 - x^{2}\right)}+2x=0\\\sqrt{\left( 49 - x^{2}\right)}=2x\\(\sqrt{\left( 49 - x^{2}\right)})^2=(2x)^2\\49 - x^{2}=4x^2\\49=5x^2\\x^2=\frac{49}{5}\\x= 3.1305

To verify that L(x) has a minimum at this critical number we compute the second derivative L″(x) and find its value at the critical number.

L^{''}(x)=\frac{\left( 98\right) \,\sqrt{\left( 49 - x^{2}\right) }}{{\left( 7 - x\right) }^{2}\,{\left( 7+x\right) }^{2}}\\At \:x=3.1305, L^{''}=0.3993

Since L^{''}(x)  is positive, the minimum point of L(x) exists.

Next, we find the minimum length by substituting z=3.1305 into L(x)

L(3.1305)=(8-3.1305)+2\sqrt{(7)^2+(3.1305)^{2}}

Minimum Length, L=20.2057

The minimum length of the cable is 20.2057 Units.

6 0
3 years ago
What is 8 + g = 15? just need the answer
muminat

Step-by-step explanation:

8 + g = 15

g = 15 - 8

g = 7

Hope it will help :)

5 0
3 years ago
Read 2 more answers
Last year, a beauty magazine had a total of 2,650 subscribers. This year, after its parent company made some changes, it had 3,2
lilavasa [31]

Answer:

22%

Step-by-step explanation:

Divide 2,650 by 100:

2,650/100=26.5

Then divide 3233 by the dividend:

122=122%

Now you can see that there is a 22% percent increase over 100%, theefore making our answer 22%.

Have a great day, and mark me brainliest if I am most helpful!

5 0
3 years ago
15 + (-18) =<br> Please help quick
ivann1987 [24]
-3



hope this help........................
7 0
3 years ago
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