So u want to add all of the previous scores together and divide them by the number of scores [i.e: 79+91+64+65+71= 370 then u divide. 370/5 (since there are 5 sets of scores) which gets you 74.] Then it's kind of a guess and check from there.
Answer: 92

5 0

3 years ago

Two angles are supplementary. One measures (3x) degrees and the other measures 51 degrees.

Fed [463]

Answer:

a. 3x +51=180

x=43

b. 3(43)+51 =180 51 degrees; 129 degrees

Step-by-step explanation:

3x +51 =180

3x=180-51

3x=129

x=43

4 0

2 years ago

determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2

LuckyWell [14K]

Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}$

6 0

4 years ago

Solve the following system of equations by substitution. please explain<br> y=-2x+1<br> 3x-2y=5

s2008m [1.1K]

Answer:

x=1

Step-by-step explanation:

$y= -2x+1\\3x-2y=5$