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3 years ago

The coordinate plane below represents a town. Points A through F are farms in the town.

Mathematics

1 answer:

kondaur [170]3 years ago

4 0

For part a,
y < x
y > -2x
Point B: (3,1) plugin x=3, y=1 y < x 1 < 3
which is true, so point B satisfies the first inequalityYou can graph the inequality y > 2x+5 and see which schools are in the shaded region

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Anita and Brad are each riding on the same path. Anita began riding at start of the path and is riding at rate of 18 mile per ho

ser-zykov [4K]

Answer:

They will be at the same position after 2 hours.

Step-by-step explanation:

Here, it should be asked the time it will take for Anita to catch Brad.

Anita began riding at start of the path and is riding at rate of 18 mile per hour.

This means that, after t hours, her position will be given by:

$A(t) = 18t$

Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour

This means that, after t hours, his position will be given by:

$B(t) = 10 + 13t$

After how much time will they be at the same position?

This is t for which:

$A(t) = B(t)$

$18t = 10 + 13t$

$5t = 10$

$t = \frac{10}{5}$

$t = 2$

They will be at the same position after 2 hours.

8 0

2 years ago

Helpo pleasssse

Tcecarenko [31]

Answer: The range is $\{y \in \mathbb{R}\ | \ y \le -6\}$

Explanation:

The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.

The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write $y \le -6$ to describe all the possible y values.

Therefore, the range is $\{y \in \mathbb{R}\ | \ y \le -6\}$

This translates to "y is a real number such that y is -6 or smaller".

So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.

See below for a visual example of what's going on.

5 0

2 years ago

Simplify n-3 n-2/n^-6n^5 A) 1/n^-4 B)1/n^4 C)n^-6 D)n^4

pychu [463]

Answer:

Step-by-step explanation: was uuu

5 0

3 years ago

A chandelier was marked up 150% from an original purchase cost of $92. Yesterday, Jayce sold the chandelier, earning a 20% commi

tatuchka [14]

Answer:

92 * 1.5 = 138

138* .2 = $27.60

Step-by-step explanation:

4 0

2 years ago

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard

Cerrena [4.2K]

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)
$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{-5-(-9)}{10-9}$
Rewriting:
$m = \frac{-5+9}{10-9}$
$m = \frac{4}{1}$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)
$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b
$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5

y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$

3 0

3 years ago