Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale

The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growt

Mazyrski [523]

Answer:

hello, This can be solved using your standard rise over run slope calculation. Think of the number of years after 1990 as your input variable. 2007 would be 17 years after 1990, so the "y" variable would be 17. This is your "run", and it goes in the denominator of your slope calculation. Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500. Dividing, you will get 5441.17. Since we're talking about humans, we can't have a decimal, so let's round up to 5442.

Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000. Do you know why we add the 123000? It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.

Hope this helps.

Step-by-step explanation:

6 0

3 years ago

Help please! Could you explain it too?

Anettt [7]

Answer:

a) not proportional

b) proportional; k = $-\frac{3}{5}$

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0

2 years ago

How many solutions does the following equation have? ln(x2 + 4x − 5) = 0

lisov135 [29]

Alrighty
remember
$log_a(b)=c$ means $a^c=b$
and
$ln(x)=log_e(x)$
and
$x^0=1$ for all real values of x
so

$ln(x^2+4x-5)=0$ means
$log_e(x^2+4x-5)=0$ means
$e^0=x^2+4x-5$ which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
$x=-2+\sqrt{10}$ and $x=-2-\sqrt{10}$
2 solutions

7 0

3 years ago

Difference between a number line and a number track

harkovskaia [24]

Answer:

What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.

3 0

2 years ago

5x+14<4 or -2(x-8)<-2

Kitty [74]

Answer:

Step-by-step explanation:

5x+14<4 or -2(x-8)<-2

-14 -14 -2x+16<-2

5x<-10 -16 -16

÷5 ÷5 -2x<-18

x<-2 ÷-2 ÷-2

x>9 (sign changes because you divide by a negative number)

x<-2 or x>9

7 0

3 years ago