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3 years ago

If x = -3, calculate the value of: 2xsquared + x

Mathematics

2 answers:

Archy [21]3 years ago

6 0

2 x - 3² + - 3
2 x 9 + - 3
18 - 3
15

Debora [2.8K]3 years ago

4 0

Insert the value of x into the equation
2 (-3^2)+(-3)
2 (9)-3
18-3=15

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For the straight line defined by the points (4,57) and (6,91) , determine the slope ( m ) and y-intercept ( ???? ). Do not round

Ksivusya [100]

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{57})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{91}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{91}-\stackrel{y1}{57}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{34}{2}\implies 17 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{57}=\stackrel{m}{17}(x-\stackrel{x_1}{4})\implies y-57=17x-68$

$\bf y=17x-11\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \begin{cases} \stackrel{slope}{17}\\\\ \stackrel{y-intercept}{(0,-11)} \end{cases}$

4 0

3 years ago

What’s the identity property of addition?

Novosadov [1.4K]

Answer:

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

Step-by-step explanation:

4 0

3 years ago

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the

Serggg [28]

Answer:

B. x<27

Step-by-step explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less than 300, so

$165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27$

8 0

2 years ago

Read 2 more answers

Jamil uses a 27 cm long wooden board to make a bookend.

Sholpan [36]

The answer would be 24.6 cm

5 0

2 years ago

Read 2 more answers

5. A solid has a circle of radius r as its base. All sections of the solid perpendicular to the diameter along the x-axis are is

AleksandrR [38]

Answer:

$\frac{16r^3}{3}$

Step-by-step explanation:

In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).

$\int\limits^r_a {2(x^2+r^2 )} \, dx$

The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.

Evaluating the integral gives use that it is equal to;

$\frac{16r^3}{3}$

Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.

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4 0

2 years ago