All categories

2 years ago

Can someone please help me with math

Mathematics

1 answer:

DaniilM [7]2 years ago

8 0

Answer:

Step-by-step explanation:

they want us to find the equation in slope intercept form

which is y= mx + b

where m = slope and b = y intercept

the slope is change in y over change in x

as y goes up 1 x goes up 1 so the slope is 1 or m=1

the y intercept is at point (0,1)

so the y intercept is 1

now we add it all together and get that the equation Is

y=x+1

You might be interested in

Solve this x²+8/10 -x = 10/2

AysviL [449]

$x^2+\frac{8}{10}-x=\frac{10}{2}\\
x^2-x+\frac{8}{10}-\frac{10}{2}=0\\
x^2-x+\frac{8}{10}-\frac{50}{10}=0\\
x^2-x-\frac{42}{10}=0\\
x^2-x+\frac{1}{4}-\frac{1}{4}-\frac{42}{10}=0\\
(x-\frac{1}{2})^2=\frac{1}{4}+\frac{42}{10}\\
(x-\frac{1}{2})^2=\frac{5}{20}+\frac{84}{20}\\
(x-\frac{1}{2})^2=\frac{89}{20}\\
x-\frac{1}{2}=\sqrt{\frac{89}{20}} \vee x-\frac{1}{2}=-\sqrt{\frac{89}{20}}\\
x=\frac{1}{2}+\frac{\sqrt{89}}{\sqrt{20}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{\sqrt{20}}\\


$
$x=\frac{1}{2}+\frac{\sqrt{89}}{2\sqrt{5}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{2\sqrt5}}\\
x=\frac{1}{2}+\frac{\sqrt{445}}{10} \vee x=\frac{1}{2}-\frac{\sqrt{445}}{10}}\\
x=\frac{5+\sqrt{445}}{10} \vee x=\frac{5-\sqrt{445}}{10}}\\$

7 0

3 years ago

After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then

dangina [55]

Answer: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to $\dfrac{3}{4}$ of its capacity, the tank was then at $\drac{4}{5}$ of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

$\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.$

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0

3 years ago

Kaylee is working two summer jobs, making $6 per hour walking dogs and $13 per hour landscaping. Last week Kaylee worked a total

kirill115 [55]

Answer:

3 hours walking dogs and 5 hours landscaping

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$