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3 years ago

Find the points of intersection of the following function graphs: y=10x−8 and y=−3x+5

Mathematics

1 answer:

Aleks04 [339]3 years ago

3 0

Answer:

(x,y) = (1,2)

Step-by-step explanation:

I used a graphing calculator and put both equations in to find the intersection.

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A. Is this an arithmetic sequence? How do you know?

pogonyaev

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

y = 1750x + 20000

e. After another 10 years (on the top of 5 given) the investment will be:

y = 1750*15 + 20000 = $46250

f. After 20 years the value of investment will be:

y = 1750*20 + 20000 = $55000

7 0

3 years ago

What formula is the same as B = atra?

horrorfan [7]

Answer:

atra=B

Step-by-step explanation:

that's the only one I can think of lol

3 0

3 years ago

The graph of which function has a minimum located at (4, –3)?

valentinak56 [21]

Answer:

None of the options is the answer to the question

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

case A) we have

$f(x)=x^{2}+4x-11$

In this case the x-coordinate of the vertex will be negative

therefore

case A is not the solution

case B) we have

$f(x)=-2x^{2}+16x-35$

This case is a vertical parabola open downward (the vertex is a maximum)

The vertex is the point $(4,-3)$ but is not a minimum

see the attached figure

therefore

case B is not the solution

case C) we have

$f(x)=x^{2}-4x+5$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-5=x^{2}-4x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-5+4=(x^{2}-4x+4)$

$f(x)-1=(x^{2}-4x+4)$

Rewrite as perfect squares

$f(x)-1=(x-2)^{2}$

$f(x)=(x-2)^{2}+1$ --------> vertex form

The vertex is the point $(2,1)$

therefore

case C is not the solution

case D) we have

$f(x)=2x^{2}-16x+35$

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-35=2x^{2}-16x$

Factor the leading coefficient

$f(x)-35=2(x^{2}-8x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-35+32=2(x^{2}-8x+16)$

$f(x)-3=2(x^{2}-8x+16)$

Rewrite as perfect squares

$f(x)-3=2(x-4)^{2}$

$f(x)=2(x-4)^{2}+3$ --------> vertex form

The vertex is the point $(4,3)$

therefore

case D is not the solution

The answer to the question will be the function

$f(x)=2x^{2}-16x+29$

7 0

3 years ago

Read 2 more answers

Is it greater then the original, less than the original or same as the original?

kykrilka [37]

50% is greater than 33 1/3% so overall it would be greater than the original

8 0

3 years ago

Mei packed 783 strawberries equally into 9 cartons. After giving 4 cartons to her neighbor's , she decided to repack 5 strawberr

Virty [35]

Answer:

87 cartons

Step-by-step explanation:

Each carton contained:

783/9 = 87 strawberries

After giving 4 cartons, remaining strawberries are:

87*(9 - 4) = 87*5

The number of cartons with 5 strawberries in each:

87*5/5 = 87

5 0

3 years ago