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Mathematics

1 answer:

svetoff [14.1K]3 years ago

3 0

Answer:

<u>Given function</u>

y = 5.3x + 23

<u>The value of y at x = 6:</u>

y = 5.3*6 + 23 = 54.8° C

<u>The closest choice is :</u>

B. The water will be about 55⁰C

<u>The y-intercept is the value of y when x = 0</u>

y = 5.3*0 + 23 = 23° C

This is the initial temperature at zero minute time, before heating is applied.

<u>Correct choice is:</u>

D. 23; the temperature of the water before it is heated

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George ate 4 slices of pizza. If this was 25% of the slices at the dinner table, how many slices were at the table to start with

Rainbow [258]

The equation is-
25% of the total (x) =4
Change 25% to a decimal, 0.25
0.25(x)=4
Divide 0.25 from both sides
0.25x/.25=4/.25
x= 16
Or, you could multiply 4 times 4, since 25% is a quarter.

There were 16 slices at the table.

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The coordinates of point T are (0,3).The midpoint of ST is (5,-8).Find the coordinates of point S.

rewona [7]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
S(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad
T(\stackrel{x_2}{0}~,~\stackrel{y_2}{3})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{0+x}{2}~~,~~\cfrac{3+y}{2} \right)=\stackrel{midpoint}{(5,-8)}\implies
\begin{cases}
\cfrac{0+x}{2}=5\\[0.8em]
\boxed{x=10}\\[-0.5em]
\hrulefill\\
\cfrac{3+y}{2}=-8\\[0.8em]
3+y=-16\\
\boxed{y=-19}
\end{cases}$