3. Solve and plot your answer on the number line below:
9.28 + 2x = 18.14

Step by step

Answer:

Yes this could be true if there were 127 students taking algebra but not biology, and there were 77 students taking biology but not algebra

Step-by-step explanation:

Not college math just simple subtraction?

Let [tex]a[/tex] be the amount of students taking only algebra

Let [tex]b[/tex] be the amount of students taking only biology.

212 - 85 - 25 = [tex]a[/tex]

[tex]a[/tex] = 127

212 - 102 - 25 = [tex]b[/tex]

[tex]b[/tex] = 77

Answer: anA=sinAcosA=1213513=1213⋅135=125 .

Step-by-step explanation: your welcome hope this helps

Answer:

[tex] \sin( \theta) = \frac{12}{13} [/tex] = 12:13

[tex] \tan( \theta) = \frac{12}{5} [/tex] = 12:5

Step-by-step explanation:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

adjacent is 5

hypotenuse is 13

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

but opposite = √(13² - 5²) = 12

[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]

Answer:

C

Step-by-step explanation:

The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

From the five- number summary , then

Q₃ = 24.5 and Q₁ = 11.1

interquartile range = 24.5 - 11.1 = 13.4 → C

Answer:

The value = 54

Step-by-step explanation:

–2n(5+n–8–3n) = –2(3)(5+3-8-3(3)) = –6(5+3-8-9)=–30–18+48+54=54

I hope I helped you^_^

Answer:

x = -b ± √b²-4ac /2a

a = 5

b= -6

c= 1

x = -(-6) ± √(-6)² - 4(5)(1) /2(5)

x = 6 ± √36 - 20 / 10

x = 6 ± √16 /10

x = 6 ± 4/10

Breaking into respective signs

x = 6 + 4/10 or 6 - 4/10

x = 10/10 or 2/10

x = 1 or 1/5

x = 1 or 1/5.

Answer:

1/5 and 1

Brainliest, please!

Step-by-step explanation:

5x^2 - 6x + 1 = 0

a = 5, b = -6, c = 1

(-b +-sqrt(b^2 - 4ac))/2a

(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)

(6 +- sqrt(16)/10

(6 +- sqrt(16))/10

(6 +- 4)/10

2/10 and 10/10

1/5 and 1

Answer:

3√5

Step-by-step explanation:

Answer:

13.8 feet long.

Step-by-step explanation:

The end two pieces are 3.6 feet long.

The middle board must be 0.82 longer than the 3.6 feet.

The easy way to do this is to realize that the length of the middle part is 1.82 times the length of each of the end pieces.

1.82 * 3.6 = 6.552 feet long.

So the total length of the board must be

3.6 + 3.6 + 6.552 = 13.752 feet long. (That's a pretty long board).

Rounded it becomes 13.8 feet long.

Answer:

$242.82

Step-by-step explanation:

Answer:

exactly one of the four are white

Answer: B

Step-by-step explanation:

Answer:

d=f(c)=15-c/4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because it follows a procedure which is -10 i.e. 20-10=10

Answer:

Step-by-step explanation:

As,

[tex] {2}^{15} [/tex]

Meaning that 2 multiplied 15 times here,

Equals 32 768

Now,

[tex] {2}^{14} [/tex]

Meaning that 2 multiplied 15 times then divided by one time 2,

Equals 32 768 ÷ 2 = 16384 (Ans)

Answer:

10

Step-by-step explanation:

30ft -20ft=10ft

Answer:

the answer is 24

Step-by-step explanation:

30=26-a\6

collect like terms

30-26 =a\6

4=a\6

Cross multiply

a=4×6

a=24

The solution to the given equation is 24.

The given equation is 30 = 26-a/6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 30 = 26-a/6

Transpose 26 to the other side of the equation, we get

30-26 = -a/6

-4 = -a/6

4 =  a/6

Transpose 6 to the other side of the equation, we get

a = 4×6

a = 24

So, the solution is 24.

Therefore, the solution to the given equation is 24.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ4

Answer:

0.0001012

Step-by-step explanation:

I have explained the solution on paper step by step! but I am typing this to get the solution. to 20 characters

1) added to

She mixed up multiplying to addition

2) 6x3=18

It should be multiplying because we're comparing, there is also a key word: times as

3) 3

Look back up at 2)!

I hope I've help! If I have or is incorrect, please tell me.

Answer:

please give me brilliant answer

Boundless Algebra

Quadratic Functions and Factoring

Graphs of Quadratic Functions

Parts of a Parabola

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

LEARNING OBJECTIVES

Describe the parts and features of parabolas

KEY TAKEAWAYS

Key Points

The graph of a quadratic function is a U-shaped curve called a parabola.

The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).

The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.

Key Terms

vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.

axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.

zeros: In a given function, the values of xx at which y=0y=0, also called roots.

Recall that a quadratic function has the form

f(x)=ax2+bx+cf(x)=ax2+bx+c.

where aa, bb, and cc are constants, and a≠0a≠0.

The graph of a quadratic function is a U-shaped curve called a parabola.  This shape is shown below.



Parabola : The graph of a quadratic function is a parabola.

In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.



Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.

Features of Parabolas

Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.

Vertex

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Axis of Symmetry

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

yy-intercept

The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.

xx-intercepts

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).



Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts

Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.

Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the 

Answer:

24

Step-by-step explanation:

Answer:

2x + 3 + 3x +12 + 90 = 180 (degree )

5x +105=180 (degree )

5x= 180-105 (degree )

5x = 75 (degree )

x = 75/5 (degree )

x = 15 #

therefore, 2x + 3= 2*15 + 3

=30+3

= 33#

3x + 12 = 3*15+12

= 45 +12

= 57#

Answer: 1.12

Step-by-step explanation:

Here 1.79 -0.67 = 1.12 ( if we subtract from the large  positive number to a minimum number then it's answer always should be positive value )

Now we are looking for the rounding figure with is very near of it which is 2 decimal or percentage value

For example :

1.444- 0.67 = 0.774 ( Here last digit is 4 so its round will be 0.77)

1.444-0.677 = 0.767 ( Here last digit is 7 so its round will be 0.77)

So we will round the value if it's last digit is greater than or equal to 5 value.

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

​

,  

m+n

my  

2

​

+ny  

1

​

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

​

,  

l+k

ly  

2

​

+ky  

1

​

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

​

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

​

​

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

​

)

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

9514 1404 393

Answer:

  30 units squared

Step-by-step explanation:

The area is given by ...

  A = 1/2bh

  A = 1/2(6)(10) = 30 . . . . square units

The area of the triangle is 30 units squared.

Answer:

less than

Step-by-step explanation:

The number is less than 2.93 .

Its absolute value (magnitude) is also less than 2.93 .

Answer:

[tex]20x\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]

= [tex]\sqrt{20x^{2} * 20x }[/tex]  | * = ×

=[tex]\sqrt{400x^{3} }[/tex]

=[tex]20x\sqrt{x}[/tex]

Answer:

B

Step-by-step explanation:

The line plot clearly lacks the 3 3/4 which is present in the data

Answer:

Step-by-step explanation: