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2 years ago

If can babysits 2 hours and she earns $14 then she works 4 hours and gets $28 what how much does she make if she does 6 hours

Mathematics

1 answer:

mr Goodwill [35]2 years ago

7 0

Answer:

He will earn 42$

Step-by-step explanation:

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Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

Sebastian rides his bike 2,000 meters in 5 minutes. How many meters does he bike in 1 minute?

USPshnik [31]

Answer:400 meters

Step-by-step explanation:

2000/5=400

5 0

2 years ago

Read 2 more answers

Solve Inequality <br> -14x > -112

den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14. Remember that flips the inequality

-14x/-14 < -112/-14

x <8

8 0

2 years ago

Read 2 more answers

If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2

kramer

Answer:

Step-by-step explanation:

Here it's given that ,

$\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}$

Also ,

$\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}$

And we need to find out the value of A , when

a = 3
b = 4
c = 5

So , on substituting the respective values to find s we have ,

$\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}$

Now let's find out A as ,

$\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\$

$\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\$

$\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\$

$\sf\red{\longrightarrow}A = 3*2\\$

$\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}$

7 0

1 year ago

Help<br> What is the slope of the line on the graph?

Galina-37 [17]

Slope = (Y2-Y1) / (X2-X1)
hope that's helpful

6 0

2 years ago