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3 years ago

The product of -5 and a number is a least -40

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

I think its 8

Step-by-step explanation:

because if you divided -40 by -5 then its 8

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Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2

Alex73 [517]

Answer:

a) -3 gallons per hour

b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

y = -3x +14 . . . . gas in the tank after x hours

4 0

2 years ago

For online courses, like those in eCore, there is a positive correlation between the amount of time spent in the course and the

Troyanec [42]

Answer:

Regression Line is given by,

y = 22.909 + 0.209 x

The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Step-by-step explanation:

The equation of Regression equation is of the form of:

y = a + bx

where, a is intercept and b is slope

The formula for a and b is given by,

$a=\frac{\sum Y \sum X^2-\sum X \sum XY}{n\sum X^2-(\sum X)^2}\\ and, b = \frac{n\sum XY -\sum X \sum Y}{n\sum X^2-(\sum X)^2}$

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72

Thus, a = 22.909

and b = 0.209

Thus, Regression Line is given by,

y = 22.909 + 0.209 x

Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Now plotting these line:

6 0

3 years ago

Gerry has 50 sport trading cards. of those, 1/5 of them are baseball cards, 1/10 of them are football cards, and the rest are ba

emmainna [20.7K]

1/5=10 There are 10 baseball cards 1/10=5 There are 5 football card's 50-10-5=35 There are 35 basketball card's 35-10=25 Gerry has 25 more basketball card's than baseball card's

7 0

3 years ago

Which is the graph of the following equation?

lesantik [10]

Given equation is

$\frac{(x-5)^2}{16} - \frac{(y-2)^2}{9}=1$

The given equation is in the form of

$\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2}=1$

a^2= 16 , so a=4

b^2 = 9 so b= 4

The value of 'a' is greater than the value of 'b'

So it is a Horizontal hyperbola

First two graphs are horizontal hyperbola

Here center is (h,k)

h= 5 and k =2 from the given equation

So center is (5,2)

Now we find vertices

Vertices are (h+a,k) and (h-a,k)

We know h=5, k=2 and a=4

So vertices are (9,2) and (1,2)

Second graph having same vertices and center

The correct graph is attached below

7 0

3 years ago

Read 2 more answers

HELPPPPPP!!!!!!!Select the correct locations on the graph.

AnnyKZ [126]

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

5 0

3 years ago