MATHEMATICS HIGH SCHOOL

Juan mowed the same number of lawns each week as Mark. Which equation represents Juan’s rate of mowing lawns, where x represents the number of weeks and y represents the total number of lawns mowed?

Answers

Answer 1

Answer:

Answer:

y=20x is correct

Step-by-step explanation:

i took the quiz

Answer 2

Answer:

Answer:

y = 20x

i got the question right on the quiz

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Which irrational number can be multiplied by - 41 to get a product that equals 1?200SSG
What is the product of Seven square root eight times four square root five? Simplify your answer.
I also need help with this one too
2. Which of the following is the equation of a circle with the radius of 1.5 and its center at (-3,2)?A. (x+3)^2+(y-2)^2=1.5 B. (x-3)^2+(y+2)^2=1.5 C. (x+3)^2+(y-2)^2=2.25 D. (x-3)^2+(y+2)^2=2.25

Five flowering plants are to be planted between two trees which are 12m apart. If the first tree is 2m away from the house, how far from the house is each of the plants?

Answers

Answer:

2m, 14m, 26m, 38m, 50m

Step-by-step explanation:

In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...

1st Tree: 2m

2nd Tree: 2m + 12m = 14m

3rd Tree: 14m + 12m = 26m

4rth Tree: 26m + 12m = 38m

5th Tree: 38m + 12m = 50m

Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m

The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:~ y = (1/20)x²
~ y = -(1/20)x²
~ x = (1/20)y²

Answers

The equation of parabola will be y=(1/20)x² .

Given,

Focus : (0, 5)

Directrix : y = -5

Now,

The standard equation of parabola is : x² = 4ay or y² = 4ax .

Focus is above directrix, it opens up

x²=4ay

a is distance from directrix to vertex

Since it opens up, a is positive

from -5 to 0 is 5 units

x²=4(5)y

x²=20y

solve for y

divide both sides by 20

y=(1/20)x²

Know more about parabola,

brainly.com/question/11911877

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for a parabola at vertex (0,0)
we see that we have to go up and down
therfor it opens up or down

since focus is above directix, it opens up
x^2=4Py
p is distance from directix to vertex
since it opens up, P is positive
from -5 to 0 is 5 units
x^2=4(5)y
x^2=20y
solve for y
divide both sides by 20
y=(1/20)x^2

first one

Round 45,122 to the nearest ten thousand

Answers

Rounded to the nearest 10,000, 45,122 is 50,000. This is because the 5 has been reached and so it is rounded up.

To round to the nearest ten thousand, we look at the last four digits. If these digits are 5000 or greater, then we round the thousands digit up, and if they are less than 5000, then we round down, keeping the ten thousand's digit the same.

The question is asking to Round 45,122 to the nearest ten thousand .

The last 4 digits are 5122.

This is greater than 5000.So we round up .

45,122 to the nearest ten thousand is 50,000.

Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

Answers

Answer:

h(x) = 5x+6

Step-by-step explanation:

h(x) = f(x) - g(x)

h(x) = 3x+2 - (-2x-4)

h(x) = 3x+2 + 2x+4

h(x) = 5x+6

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

h(x) = f(x) - g(x)

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) → 3x + 2x → 5x

(+2) - (-4) → 2 + 4 → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)

How is the graph of y = -4x^2– 5 different from the graph of y = -4x^2?A. It is shifted 5 unit(s) right.
B. It is shifted 5 unit(s) left.
C. It is shifted 5 unit(s) up.
D. It is shifted 5 unit(s) down.

Answers

to move the graph c units up, add c to whole funciton
to move graph c units right, minus c from every x

from
f(x)=-4x^2-5 to
f(x)=-4x^2

minused 5 from whole function
basicaly it is 5 units down from -4x^2

D

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.12 - 8x^2 + x^4 = 0

A) (x2 - 4)2 = -4

B) (x2 - 4)2 = 4

C) (x2 - 2)2 = -4

D) (x2 - 2)2 = 4

Answers

x⁴ - 8x² = 0
x⁴ - 8x² + 16 = 0 + 16
x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
x²(x² - 4) - 4(x² - 4) = 16
(x² - 4)(x² - 4) = 16
(x² - 4)² = 16

The answer is B.

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