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kirill115 [55]
2 years ago
9

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Mathematics
2 answers:
solong [7]2 years ago
8 0
Snejjsjsjsissisksksksjsnahzixxnnxnxxnxnxnnxnxpwpwoeoeoeoeoeeoie
Zielflug [23.3K]2 years ago
3 0
Begbethetbrynqrjeyjeykeykru
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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
kaheart [24]

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

8 0
3 years ago
Read 2 more answers
Solve the inequality
worty [1.4K]

Treat it just like and equation at first. Multiply the 10 on both sides to get rid of it, leaving you with 50 \leqx.  Then on the number line, since there is a line under it, you would make a filled in circle and an arrow pointing towards 51 and beyond

6 0
3 years ago
What the slope and y intercept ? and how did you find it ?
EastWind [94]

Answer:

Slope: m=4

y-intercept: b=-1

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

In this case you can say that:

y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when x=0, y=-1

Therefore, the y-intercept is:

b=-1

7 0
3 years ago
You throw a ball at a height of 5 feet above the ground. The height h (in feet) of the ball after t seconds can be modeled by th
marusya05 [52]

Answer:?

Step-by-step explanation:

3 0
3 years ago
On a cross country bicycle trip participants ride about 75 maybe les per a day. Approximately how many days d mist they ride to
mixer [17]

Answer: 58 Days

Step-by-step explanation:

Because if you divide 4,325 from 75 miles you get 57.6666 and so on so when you round it you get 58 days

6 0
3 years ago
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