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3 years ago

Find the equation of the line that passes through points (4,5) and (-1,6).

1 answer:

4 0

First find the slope using the formula $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Substitute the values in:
$m= \frac{6-5}{-1-4}= -\frac{1}{5}$
Point-slope form is $y=m(x-x_{1})+y_{1}$
Substitute (it doesn't matter which point you choose; I chose (4,5):
$y=- \frac{1}{5} (x-4)+5=-\frac{1}{5}x+\frac{29}{5}$
Therefore, the answer is D. $y=-\frac{1}{5}x+\frac{29}{5}$

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Since it's Wednesday, Buy for Less gives a 5% discount for purchases. The items in Rhonda's cart total $53.75. She needs to know

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First we need to know how much the discount was so 5% is actually 0.05 then we need to multiply it by 53.75 which would equal 2.6875 then subtract it by 53.75 which would equal -51.0625.

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This is a trick question because D) could also be correct if they said you could subtract it but it's not saying use the distributive property.

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3 years ago

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Ashley bought 20 pounds of apples. 60% of the apples were organic. How many pounds of apples were organic? *

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Answer:

Step-by-step explanation:

20 divided 60% = 12

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2 years ago

a psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following f

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Answer:

At t=1, Rate of Change=-36.86

At t=10 hours, Rate of Change =-0.0088

Step-by-step explanation:

The function which describes the number of facts of a certain type which are remembered after t hours is given as:

$f(t)=\frac{85t}{99t-85}$

To determine the Rate of Change at the given time, we first look for the derivative of f(t).

Applying quotient rule:

$f^{'}(t)=\frac{-7225}{{\left( 85 - 99\,t\right) }^{2}}$

At t=1

$f^{'}(1)=\frac{-7225}{(85-99)^{2}}$

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At t=10 hours

$f^{'}(10)=\frac{-7225}{(85-99(10))^{2}}$

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3 years ago

Which of the following statements are true of the parabola shown?

Vesna [10]

True statements are:

It has a directrix of x = - 4.
It has a focus at (4, 0).

Step-by-step explanation:

We have the following statements to check on whether it's right or wrong:

1. It has a directrix of x = -4:

According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!

2. It opens to the left:

In figure, Parabola opens to right not left , Therefore this statement is wrong!

3. It has a vertex at the origin:

Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.

4. The axis of symmetry is the y-axis:

Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!

5. It has a focus at (4, 0):

Parabola focus is at $F(4,0)$ on x-axis . And so, Therefore this statement is true!

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Over 7 hours the temperature changed 35 degrees
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