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jonny [76]
3 years ago
6

Please show your work and I will make you brainliest ​

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

17. y=1/2x+5

18. y=-2x+15

19. y=2x-7

Step-by-step explanation:

Number 17.

(4,7); parallel to y=1/2x-1

You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= 1/2

x= 4

y= 7

y-7= 1/2(x-4)

y-7= 1/2x-2

y=1/2x+5

Number 18.

(4,7); perpendicular to y=1/2x-1

You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

m= -2

x= 4

y= 7

y-7=-2(x-4)

y-7=-2x+8

y=-2x+15

Number 19.

f(3)=-1

f(4)=1

To write a linear equation, first find the slope with the slope formula.

x1= 3

y1= -1

x2= 4

y2=1

(y2-y1)/(x2-x1)

(1-(-1))/(4-3)

2/1

m=2

Use the point-slope formula and solve for the slope-intercept equation.

y-y1=m(x-x1)

y-1=2(x-4)

y-1=2x-8

y=2x-7

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Factor the expression 18x^2 - 8
diamong [38]

Answer:

2(3x-2(3x+2)

Step-by-step explanation:

1) 18x^2-8

2) 2(9x^2-4)

3) 2(3x-2)(3x+2)

6 0
3 years ago
A company wishes to manufacture a box with a volume of 36 cubic feet that is open on top and is twice as long as it is wide. Fin
Nimfa-mama [501]

Answer:

Width is 3 ft

length is 6 ft

Step-by-step explanation:

Let x = the width

Let 2x = the length

Let h = the height

We know that volume is given v =  l×b×h

so we have v = volume  = x*2x*h

2x^2*h = 36

h = \frac{18}{x^2}

surface area include 2 ends + 1 bottom and 2 sides excluding top

S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)

S.A. = 2xh + 2x^2 + 4xh

we have calculateh = = \frac{18}{x^2}

S.A = 2x^2 + 6x \frac{18}{x^2}

S.A = 2x^2 + \frac{108}{x}

By graphing above equation we can calculate the value of x

Minimum S.A when x is 3  is the width so

2(3) = 6 is the length

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6 0
3 years ago
Can someone help me with this? <br> **SHOW WORK PLEASE**
Valentin [98]

FYI, that L in the denominator is factorial.

This is some pretty serious stuff for high school.

My inclination is that the answer is A, which is the definition of <em>e. </em> Let's see if we can show this.

Let's write

\displaystyle f(n) = \left(1 + \dfrac 1 n \right)^n

Let's expand this with the binomial expansion

\displaystyle f(n) =\sum_{k=0}^n {n \choose k} \dfrac{1}{n^k}

\displaystyle f(n) =\sum_{k=0}^n \dfrac{n!}{k!(n-k)!} \cdot \dfrac{1}{n^k}

\displaystyle f(n) =\sum_{k=0}^n \dfrac{n(n-1)\cdots(n-k+1)}{k! \, n^k}

Let's focus on when n is really big and on the ks that are relatively small, which make up the bulk of the sum as the terms get small rapidly.

Then that numerator n(n-1)···(n-k+1) ≈ n^k as all the factors are about n.  

\displaystyle f(n)\approx \sum_{k=0}^n \dfrac{n^k}{k!\, n^k}

\displaystyle f(n)\approx \sum_{k=0}^n \dfrac{1}{k!}

OK, we showed for large n this is approximately true, and it will be exactly true in the limit, so we choose

Answer: A

3 0
3 years ago
What is 7(67×28.51(72÷6)×17)×17 help me​
stira [4]

Answer:

Okay uhhh,   46,371,286.92  I BELIEVE

Step-by-step explanation:

THAT IS A REALLY BIG NUMBER SO MAYBE I GOSH DIDDLY MESSED UP BUT THAT IS WHAT I GOT IDK I HOPE I WAS RIIIIGGHHTTT  ,,oΔo,,

4 0
3 years ago
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vovangra [49]

Answer:

100°

Step-by-step explanation:

6 0
3 years ago
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