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umka21 [38]
3 years ago
10

Let f(x) = - 4x+2 and g(x) = x2 + 2. Find (f+g)(x).

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

x^{2}-4x+4

Step-by-step explanation:

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Determine whether the relation shown is a function. Explain how you know.
lutik1710 [3]

Answer:

  It is not a function

Step-by-step explanation:

The plot shows (1, 1) and (1, 3) are both defined by the relation. It does not pass the "vertical line test", which requires the relation be single-valued everywhere.

3 0
3 years ago
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The graph of a linear function passes through the points (2, 4) and (8, 10).
Keith_Richards [23]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ 8}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-4}{8-2}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=2\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
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8 0
3 years ago
A ball is thrown into the air with a initial velocity of 25 meters per second.The function h(t)+-4.9t^2+25t+6 represents the hei
Rainbow [258]

Answer:

36.9 m

Step-by-step explanation:

h(t) = -4.9t² + 25t + 6

At t = 3:

h(3) = -4.9(3)² + 25(3) + 6

h(3) = -44.1 + 75 + 6

h(3) = 36.9

After 3 seconds, the ball will have a height of 36.9 meters.

6 0
3 years ago
If the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle​
Murljashka [212]
Answer: 80°

Step-by-Step Explanation:

By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°

Finding the Value of ‘x’ :-

2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20

Finding each Angle :-

2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°

Hence, the Largest Angle is 80°
3 0
2 years ago
Sami took six quizzes in science class. The grades for the quizzes are 86, 92, 79, 96, 80, and 95. What is the median grade?
mart [117]

Answer:

The median grade would be 89

Step-by-step explanation:

To find the median, first put the numbers all in ascending order.

79, 80, 86, 92, 95, 96

Now isolate the middle term or terms. Since there is an even amount of numbers, we pick the two in the middle. To find the median, we take an average of those terms.

(86 + 92)/2 = 89

6 0
3 years ago
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