7x-26 5x+10 solve X please help me?

Please please help fast

WINSTONCH [101]

Answer:

no I'm pretty sure. hope it helps

5 0

3 years ago

Read 2 more answers

The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n

NeX [460]

Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

The model representing the population of the species of insects

$P(t)=952e^{0.12t}$

An exponential growth is of the form:

$P(t)=P_0e^{kt}$

where P₀ is the original population

t is the time taken in weeks

Comparing the two equations:

$P_0=\text{ 952}$

952 insects are in the original colony

B. The number of insects that will be in the colony after 20 weeks

Substituting t = 20 into the function given

$\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}$

C) If the population, P = 20000

$\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}$

8 0

1 year ago

Find the equation of the line passing through the given points. Express the equation in standard form.

Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the change in the y coordinates

m = y sub2 - y sub1 divided by the change in the X coordinates x sub2 – x sub1

We will start by determining the slope

(1, -6) the 1 is x sub 1 and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b. We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b. Since these points are on the line, they must satisfy this equation. If we use the first coordinates, we would substitute 1 for x and -6 for y.

-6 = -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now. We have to deal with two things. The x and y terms have to be on the left side and A and B and C have to be integers.

The standard form of a linear equation is Ax + By=CA x + By = C . Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

3 0

4 years ago

the graph of the function f(x) = ax^2 + bx + c (where a, b, and c are real and non zero) has two x- intercepts. explain how to f

Dovator [93]

The vertex of the parabola is given by :

$\displaystyle{ ( \frac{-b}{2a}, f(\frac{-b}{2a}) )$ .

So, $\displaystyle{ \frac{-b}{2a}$ is the first coordinate of the vertex, which means it is also the point where the line of symmetry passes.

The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.

So, if one of the x-intercepts is $\displaystyle{ (\frac{-b}{2a}+3, 0)$ , that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :

Answer: $\displaystyle{ (\frac{-b}{2a}-3, 0)$ ,

4 0

4 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

lesya [120]

Slope is m=-2/5 y- intercept is b=4 equation is y= 2/5x+4
not proportional
Negative slope

3 0

3 years ago