Solve for "x": 2x + 7 − 5x + 8 = 3(5 + 6x) − 12x

Evaluate 3b2 when b= 4 and when b= - 4.<br> When b=4, 3b2

nydimaria [60]

Answer:

24

Step-by-step explanation:

3 times 4 times 2

3 times 4 is 12

12 times 2 is 24

Hope this helps you

4 0

3 years ago

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If an airplane pilot was told to rotate his plane while he was flying to Honolulu, would that be enough information for her to k

Talja [164]

Answer:

no, this reason being is because lets say she needed to know exact angle. she would need to know which rotational way to turn (left right up down, etc.) if this informaton is given to the pilot, they may be left confused and they make the wrong turn or wrong direction.

Step-by-step explanation:

I hope this helps :)

4 0

3 years ago

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Don’t know how to solve, help ?

yawa3891 [41]

I believe the answer is 88 because the 120 will create a straight angle which is 180. Then you do 180-120=60. This is the measure I the left angle. Now your answer will be 88

8 0

3 years ago

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Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat

eimsori [14]

Answer:

There are NO real roots for this equation. The only roots have imaginary parts and therefore cannot be represented on the real x-axis.

Step-by-step explanation:

We notice that the expression on the left of the equation is a quadratic with leading term $2x^2$ , which means that its graph is that of a parabola with branches going up.

Therefore, there can be three different situations:

1) if its vertex is ON the x axis, there would be one unique real solution (root) to the equation.

2) if its vertex is below the x-axis, the parabola's branches are forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will have NO real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently.

We recall that the x-position of the vertex for a quadratic function of the form $f(x)=ax^2+bx+c$ is given by the expression:

$x_v=\frac{-b}{2a}$

Since in our case $a=2$ and $b=-3$ , we get that the x-position of the vertex is:

$x_v=\frac{-b}{2a}\\x_v=\frac{-(-3)}{2(2)}\\x_v=\frac{3}{4}$

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = 3/4:

$y_v=f(\frac{3}{4})=2( \frac{3}{4})^2-3(\frac{3}{4})+4\\f(\frac{3}{4})=2( \frac{9}{16})-\frac{9}{4}+4\\f(\frac{3}{4})=\frac{9}{8}-\frac{9}{4}+4\\f(\frac{3}{4})=\frac{9}{8}-\frac{18}{8}+\frac{32}{8}\\f(\frac{3}{4})=\frac{23}{8}$

This is a positive value for y, therefore we are in the situation where there is NO x-axis crossing of the parabola's graph, and therefore no real roots.

We can though estimate a few more points of the parabola's graph in order to complete the graph as requested in the problem. For such we select a couple of x-values to the right of the vertex, and a couple to the right so we can draw the branches. For example: x = 1, and x = 2 to the right; and x = 0 and x = -1 to the left of the vertex:

$f(-1) = 2(-1)^2-3(-1)+4= 2+3+4=9\\f(0)=2(0)^2-3(0)+4=0+0+4=4\\f(1)=2(1)^2-3(-1)+4=2-3+4=3\\f(2)=2(2)^2-3(2)+4=8-6+4=6$

See the graph produced in the attached image.

4 0

3 years ago

Han is in training for a marathon. One day, Han ran 8 miles. The next day, he plans to run that same distance plus half as much

timofeeve [1]

Answer:

hen is in training of Marathon Vande hand run 8 Miles next day he plans to run the same I bless have much so how far does he planned

Step-by-step explanation:

the hendrun 8 and half miles the next radio Follow Me animal lover

6 0

3 years ago