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3 years ago

35 POINTS FOR CORRECT ANSWER! write the equation of the line in slope-intercept form. (image attached).

Mathematics

1 answer:

Masteriza [31]3 years ago

4 0

Let's find 2 decipherable points on the graph.
1. (0, 4)
2. (4, 0)

Now, solve for slope.
Slope formula: $\frac{y2-y1}{x2-x1}$
Plug in and solve: $\frac{0-4}{4-0} = \frac{-4}{4} = -1$
Slope: $-1$

Finally, plug into point-slope formula and solve for slope-intercept.
Point-slope formula: $y - y1 = m(x - x1)$ where m = slope
Plug in and solve for slope-intercept.
$y - 4 = -1(x - 0) 

y - 4 = -1x + 0 

Add 4 both sides

y = -1x + 4$
Answer: $y = -x + 4$

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Suppose f(x) = x2 and g(x) = (3x)2. Which statement best compares the graph

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation: f(x) = x^2 and g(x) = (3x)^2.

g(x) can be rewritten as 9x^2.

The graph of g(x) is only one ninth as wide as that of f(x).

Next time please share the possible answer choices. Thank you.

6 0

3 years ago

Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2) , and X(1, −2) . Trapezoid WKLX is translated 4 units right and 3 uni

guapka [62]

Okay, so first of all, if the trapezoid was translated right 4,
Then all the (x)'s should be 4 more than the original value
For example: (2,-3) → (6,-3)
Now since the Trapezoid was translated down 3,
Then all the (y)'s should be 3 less than the original value
For example: (2,-3) → (2,-6)
Now do this to all the Vertices
 $(6,-6)(8,-6)(9,-5)(5,-5)$
Final Answer: Option 2

7 0

3 years ago

Read 2 more answers

10. Rotate the figure shown 180° clockwise. Record the coordinates of the 3 points image.

inna [77]

Answer:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

Step-by-step explanation:

From the attachment, we have:

$J = (-6,-7)$

$K = (-6,-2)$

$L = (-3,-7)$

Rotation: 180 degrees clockwise

Required

Find J', K' and L'

When a point (x, y)is rotated 180 degree clockwise, the resulting point is: (-x, -y)

So, we have:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

3 0

3 years ago

Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou

Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0

3 years ago

Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells aro

maw [93]

Answer:

aₙ= 6 n

Step-by-step explanation:

A honey comb cell contain 6 cells

a₁ = 6

d=6

aₙ = 6 + (n-1)6

= 6 n

7 0

3 years ago