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4 years ago

These are hard. I need help!!

Mathematics

1 answer:

kotykmax [81]4 years ago

3 0

Answer:

a) downwards

b) (1,9)

c) x intercepts=-2, 3

y intercept= 8

d) axis of symetry= x=1

Step-by-step explanation:

the axis of symetry is the x value of the vertex of the parabola, which is the highest point on the graph.

It opens downward because the open part is on the bottom

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The ratio of dogs to cats at the local pet store is 5:3

tatiyna

Answer:

20 dogs

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Math HW, simplify radical expressions, show all work.

Ivahew [28]

Answer:

12. 7xy ∛(xy^2)

13. 3x^2|y| sqrt(7x)

14. 5 x^4 y ^4 y ∛(y^2)

Step-by-step explanation:

12. (343 x^4y^5) ^ 1/3

separate

343^1/3 x^4 ^ 1/3 y^5 ^ 1/3

using the power of power we can multiply the powers

343 ^ 1/3 x^ 4/3 y ^ 5/3

simplify

7 x^ 4/3 y ^ 5/3

if the power is greater than 1 we can split it

7 x x^ 1/3 y y ^ 2/3

7xy ( xy^2 ) ^ 1/3

7xy ∛(xy^2)

13. (189 x^5y^6)^ 1/2/(3y^4)^ 1/2

combine

( (189 x^5y^6)/(3y^4))^ 1/2

(189/3 * x^5 * y^6/y^4) ^ 1/2

when we divide exponents with the same base, we subtract the exponent

(63 * x^5 * y^2) ^ 1/2

split

63 ^ 1/2 x^ 5 ^ 1/2 y ^ 2 ^ 1/2

sqrt (63) * sqrt * (x^5) * sqrt(y^2)

sqrt(9*7) sqrt( x^4 *x) * sqrt(y^2)

sqrt(9) * sqrt(7) sqrt(x^4) sqrt(x) sqrt(y^2)

we need to make sure to take the positive value of sqrt(y^2)

3sqrt(7) x^2 sqrt(x) | y|

3x^2|y| sqrt(7x)

14. (625 x^17 y^16) ^1/3 / (5 x^5 y^2) ^ 1/3

combine

(625 x^17 y^16 / 5 x^5 y^2) ^ 1/3

(625/5 * x^17/x^5 * y^16/y^2) ^ 1/3

when we divide exponents with the same base, we subtract the exponent

(125 x^(17-5) y^(16-2)) ^ 1/3

(125 x^12 y ^ 14) ^ 1/3

split

125 ^ 1/3 x^ 12 ^ 1/3 y^ 14 ^ 1/3

power to the power ( multiply the power)

125 ^ 1/3 x^ 4 y ^ 14/3

5 x^4 y ^ 14/3

if the power is greater than 1 we can split it

5 x^4 y ^4 y ^2/3

5 x^4 y ^4 y ∛(y^2)

7 0

3 years ago

The length of a rectangular garden is three times its width, w. The area of the garden is 300 m². Explain why the expression 3w

kogti [31]

If the length is three times the width and the area of the rectangle is

300 $m^{2}$ then the length of rectangle is 30m and width be 10m.

Given that the length is three times the width and the area of the rectangle is 300 $m^{2}$ .

We are required to find the length and breadth of the rectangle.

Area of the rectangle is basically the product of length and breadth.

let the breadth of rectangle be w.

The length of rectangle will be 3w.

Area=Length*Breadth

300=3w*w

300=3 $w^{2}$

100= $w^{2}$

w=+10,-10 but ignore -10 because width cannot be negative.

Length=3w=3*10=30m

Width=w=10m

The area can be written as 3 $w^{2}$ because the area of rectangle is product of length and breadth.

Hence if the length is three times the width and the area of the rectangle is 300 $m^{2}$ then the length of rectangle is 30m and width be 10m.

Learn more about area at brainly.com/question/25292087

#SPJ9

3 0

2 years ago

Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contr

kogti [31]

Answer:

Function: C = 500 / n

Jane must recruit 20 more contributors or 25 contributors in total for the cost of each share to be $20.

Step-by-step explanation:

1. Cost per share, C, with respect to the number of contributors, n is

C = 500 / n

So, with 5 contributors, the price is $100 per share. $100 = 500/5

2. C= $20

20= 500 / n

20 * n = 500 * n

20n = 500

n= 25

She already has 5 contributors, so she needs 20 more.

4 0

4 years ago

Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test

viktelen [127]

Answer:

Step-by-step explanation:

To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:

C = 2M + 7

(Variables are representative of the first letter of each name)

Seeing as Christopher scored 87, we can put that into the equation and solve for M.

So, the equation will be:

87 = 2M + 7

Subtract 7 from both sides in order to isolate variable M on the right side.

80 = 2M

Now solve for M, which is 40 (divide both sides by 2).

7 0

3 years ago