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2 years ago

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

1 answer:

7 0

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

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Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.

UkoKoshka [18]

Answer:

a) 378 foot

b) 3780¢

c) $10^3\times 2^1\times 3^3\times 7^1$

Step-by-step explanation:

Given: Ribbon required to make 1 bow = 1.5 yards

We know that 1 yard = 3 foot

a) Number of bows Jeanne wants to make = 84

Foot of ribbon required to make 84 bows

= Number of bows Jeanne wants to make × Ribbon required to male 1 bow

= 84 × 1.5 yards

= 126 × 3 foot = 378 foot

Thus, Jeanne requires 378 foot of ribbon to make 84 bows.

b) Cost of ribbon = 10¢ per foot

Total money required to buy ribbon

= Cost of ribbon × Amount of ribbon required in foot

= 10 × 378

= 3780.00¢

c) Number of bows manufacture wants to make = 84 × 1000

= 84,000 bows

Amount of ribbon required to make bows

= 1000 × Amount of ribbon required to make 84 bows

= 1,000 × 378 = 378000 foot

To write it in exponential form:

$378000 = 10^3\times 2^1\times 3^3\times 7^1$

8 0

3 years ago

WILL GIVE BRAINLIEST-Let f(x)=x2−3x−4 .

ivann1987 [24]

The graph doesn't even show the points of interest.

The average rate of change on that interval is 14.

8 0

3 years ago

Read 2 more answers

10 points!!

torisob [31]

N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x

4 0

3 years ago

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)