Simplify.

(x2+x−1)+(2x2−3x+9)

Answer:

x = 12

Step-by-step explanation:

DE + EF = DF

2x - 1 + 5x - 13 = 70

7x - 14 = 70

7x = 70 + 14

    = 84

x = 84 ÷ 7

x = 12

Answer: x=12

Step-by-step explanation:

2x-1+5x-13=70

Combine like terms

7x-14=70

Add 14 to both sides

7x=84

Divide both sides by 7

X=12

Answer:s-9

Step-by-step explanation: Decreased means subtract . and you are subtracting s from 9.

Hope it helps

Answer:

4,500 different codes.

Step-by-step explanation:

Notice that:

15x = 5 * 3x and 10y = 5 * 2y.

Since there is a common factor of 5,

we can take out the factor.

=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).

Well, first thing we need to do is put this in slope intercept form of y.

Subtract 9 from both sides to isolate "y".

y= -3x-9

Now we can graph the equation

Graph the point (0,-9) since it is the y-intercept.

To get the x intercept, isolate the "x" variable instead of "y".

y+9 = -3x

(Divide every number on both sides of the equation by -3 to isolate "x".)

y/-3 -3= x

now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.

0/-3 -3 = x

-3 = x.

Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.

I hope this helped.

Answer:

n  <  − 90

Step-by-step explanation:

hope this helps and have a great day!

hope it will help you..........

Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.

According to values of a function we can plot the points on a graph.

What is domain?

Domain is the value which we used to enter in a function to get the value of a function.

We have been given the domain of the function and we have to plot the value in the graph.

F(1/2)=log1=0

F(1)=log2=0.3

F(2)=log4=0.6

F(4)=log8=0.9

F(8)=log16=1.2

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Answer:

0.5cm

Step-by-step explanation:

Using the sine rule

Answer:

c = 0.5 cm

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{c}{sin15}[/tex] = [tex]\frac{2}{sin105}[/tex] ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c = [tex]\frac{2sin15}{sin105}[/tex] ≈ 0.5 cm ( to the nearest tenth )

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to interpret the meaning of the slope

The slope generally refers to the change in y values with corresponding change in x value

with respect to this question, we can see that the slope is negative

What this mean is that the rate of change in the level of oxygen measured in liters is decreasing with an increase in the time

This means that as more time elapses, more oxygen is used up leading to a decrease in the liters of oxygen present

Answer:

37

Step-by-step explanation:

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

Answer:

56 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The expression that represents the solution of y is y = √wz

The triangle represents the given parameter

Also, we can see that the figure combines two right-angled triangles is

By the theorem of the right-angled triangle

w : y = y : z

Express the above ratio as a fraction

So, we have the following equation

w / y = y / z

Cross multiply in the above equation

So, we have

y² = wz

Take the square roots

y = √wz

Hence, the solution of y is y = √wz

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Answer:

$37.26

Hope this helps.

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

Answer:

C

Step-by-step explanation:

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.

Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x

Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000

Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.

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Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Answer:

y=5

Step-by-step explanation:

Any equation that's y=c (or any other constant) is a horizontal line. Imagine a parabola and a horizontal line plotted on a graph.

There are three possibilities of where the horizontal line can be:

It may not touch the parabola at all,

It may touch the parabola at one specific point (it's a tangent line)

Or it may touch the parabola at two points (it's a secant line)

The question prompt tells us that the horizontal line y=c touches the parabola at exactly one point; so for it not to touch two points it has to touch the parabola at the vertex point, right?

If we graph the parabola (or we could just look at the equation and it should be intuitive), we find out that the y-intercept is 5. In other words the point where the function reaches its maximum value (maxima) is at y=5.

For this reason, the value of c is 5 since if it was any value below that it would touch more than one point and if it was above it it wouldn't touch any point.

Here's an image so that it'll be a bit clearer hopefully:

Good luck!