Find n (write in simplest radical form)

Answer:

Second step  x( x +5 ) -8 (x+ 5 ) in process of factoring .

Step-by-step explanation:

Given : Trinomial x²-3x-40 .

To find : The second step in the process for factoring .

Solution : We have x²-3x-40 .

On factoring x²+ 5x - 8x - 40 .

Taking common x from first two terms and -8 from last two terms.

x( x +5 ) -8 (x+ 5 ) .

Therefore , Second step  x( x +5 ) -8 (x+ 5 ) in process of factoring .

86%

70X30=2100

20X62=1240

2100-1240 = 860

860/10=86

Answer:

Mean mark for the girls is [tex]86%[/tex].

Step-by-step explanation:

Given information:

Number of total students in the class=[tex]30[/tex]

Number of boys in the class=[tex]20[/tex]

Then, number of girls will be=[tex]30-20[/tex]=[tex]10[/tex]

The mean mark of the class=[tex]70\times30=2100[/tex]

The mean mark for the boys is [tex]62[/tex]

Then, mark for the boys[tex]=62\times20=1240[/tex]

The mark for the girls=[tex]2100-1240=860[/tex]

Then mean mark of the girls will be  [tex]\frac{860}{10}=86[/tex]

Hence, mean mark for the girls is [tex]86%[/tex].

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Answer:

Ok so the first one, your answer will be C. The height of the plant increases by 2 mm for every hour of sunlight it receives. For the second one, It is B.There is a strong negative relationship between x and y. And the last one is B. It is greater for Group B than Group A.

Step-by-step explanation:    Hopes this helps!!! :)

In a triangle we apply angle sum property of triangle, which is given by:

Sum of angles of triangle =180 degrees.

We are given three angles,

A =(4x-13)

B =15

C =(x+18)

Adding the three angles and equating it to 180,

[tex] (4x-13) +15 + (x+18) =180 [/tex]

combining like terms

[tex] 5x+20 =180 [/tex]

[tex] 5x=180-20 [/tex]

[tex] 5x =160 [/tex]

x=32

angle A = 4x-13 = 4(32)-13 = 115 degrees.

angle C = x+18 = 32 +18 = 50 degrees.

Answer : angle A is 115 degrees and Angle C is 50 degrees.

Answer: The correct option is B.

Explanation:

From the given figure it is noticed that the parent function is,

[tex]f(x)=x^2[/tex]

The graph of f(x) shifts 5 units right.

The transformation is defined as,

[tex]g(x)=f(x+a)+b[/tex]

Where, a shows the horizontal shifts and b shows the vertical shift.

If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.

If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.

Since the graph of parent function is shifts only right side by 5 units, therefore

[tex]g(x)=f(x-5)+0[/tex]

Since [tex]f(x)=x^2[/tex]

[tex]g(x)=(x+5)^2[/tex]

Thus, the correct option is B.

The function in option A represents the left shift of f(x) by 5 units.  The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.

Answer:

3.75

Step-by-step explanation:

The required line is y = x/8 - 6 which is parallel to the given line x − 8y = 48.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c

The equation is given in the question below as

x − 8y = 48

We have to convert the equation to slope-intercept form

x − 8y = 48

− 8y = - x + 48

Divided by -8 into both sides of the above equation,

− 8y / (− 8) = - x / (− 8) + 48 / (− 8)

y = x/8 - 6

Since the slope is the same, therefore the lines are parallel.

Therefore, the required line is y = x/8 - 6 which is parallel to the given line x − 8y = 48.

Hence, the correct answer would be an option (A).

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The question seems to be incomplete the correct question would be

Which equation represents a line which is parallel to the line x − 8y = 48?

A. y = x/8 - 6

B. y = x/2 - 8

C. y = x/6 - 4

D. y = x/4 - 2

The statement 1,2, and 4 are true and 3 is not true below given the reason behind it.

The link between lines and points is described by a graph, which is a diagrammatic representation of a network.

A graph is made up of some points and the distance between two It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

The given statement is a line passing through ( -7, 10 ) so

Option 1 ⇒ the slope of that line will be zero because it is a horizontal line so it will be true.

Option 2 ⇒another point on this line will be (3,10) since it is a horizontal line so the y coordinate is the same and the x coordinate can vary so it is also true.

Option 3 ⇒ the y-intercept of this line will be 10 which is not true and can be confirmed by options 1 and 2.

Option 4 ⇒ the equation of the line will be y =10 which is true hence it is a horizontal line.

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By using the picture that was provided below, you can see that

m<MXN is greater than m<YZX.  

Angles m<LZX is equal to m<ZYX + m<YZX and

m<MYL is equal to 180 degrees minus M<ZYX.

I hope this helps! Have a good day

Answer:

Step-by-step explanation:

We are given function f(x) = 25x^2 -2.

g(x) is a vertical stretch of f(x) by a factor of 2.

We know, the transformation rule

y= k f(x), vertical stretch by a factor k. For k>0.

Because function f(x) is being vertical stretched by a factor of 2. So, we need to multiply f(x) function by 2.

Therefore, g(x) = 2 f(x) = 2*(25x^2-2).

Therefore, g(x) = 2*(25x^2-2) or g(x) = 50x^2-4.

Answer:

The Given function is

f(x)= 25 x² -2

Now, a function g(x) is obtained when the function f(x) is stretched by a factor of 2.

Consider point (x,y) on f(x).When function is stretched vertically by a factor of 2 ,it means, the coordinate changes from (x,y) to (x,2 y).

Since we have to stretch the function as whole, we will multiply original function by 2.

So, g(x)= 2× [25 x² - 2] =50 x² -4

g(x)=50 x²- 4

Answer:

B

Step-by-step explanation:

A check is an I.O.U. or a promissory note.

Answer:-  The sequence of the transformations for the given diagram must be reflection, then rotation, then translation.

Explanation:-

Given : Four triangles which are congruent by SSS postulate or HL theorem.

According to the given diagram , the rigid transformations are as follows

1. Reflection: ΔABC is flipped about BC to form ΔA'BC such that AC=A'C and its is already given that they are congruent thus the rigid transformation used here is reflection.

2. Rotation:- ΔA'BC is rotated about point A' at some angle to form ΔA'B'C' , and they are congruent (given). Thus the rigid transformation used here is rotation.

3.Translation:- ΔA'B'C' is translated exactly right by some factor to form ΔA"B"C" ∵ all the points have changed but as these triangles are congruent (given) then corresponding parts must be equal.Thus the rigid transformation used here is  translation.

The sequence should be in the order for the given transformation as, reflection, then rotation, then translation. Thus the option D is the correct option.

Rotation, reflection and translation is the way of transformation of an figure.

Given information-

In the given diagram the, triangle ABC is transformation into the three stages.

Hence the correct sequence of the transformations is  reflection, then rotation, then translation. Thus the option D is the correct option.

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It will take approximately 5.5 seconds for the penny to hit the ground.

To determine the time it takes for the penny to hit the ground, we can use the given formula for the height as a function of time:

[tex]\[ h(t) = -4.9t^2 + v_0t + h_0 \][/tex]

Given that the penny is dropped and not thrown, the initial velocity [tex]\( v_0 \)[/tex] is 0. The initial height [tex]\( h_0 \)[/tex] is 150 meters. We want to find the time [tex]\( t \)[/tex] when the height [tex]\( h(t) \)[/tex] is 0, which is when the penny hits the ground.

Plugging in the known values, we get:

[tex]\[ 0 = -4.9t^2 + 0 \cdot t + 150 \][/tex] Simplifying, we have:

[tex]\[ 4.9t^2 = 150 \][/tex]

Now, we solve for [tex]\( t \)[/tex]:

[tex]\[ t^2 = \frac{150}{4.9} \][/tex]

[tex]\[ t^2 \approx 30.612244898 \][/tex]

Taking the square root of both sides to solve for [tex]\( t \)[/tex]:

[tex]\[ t \approx \sqrt{30.612244898} \][/tex]

[tex]\[ t \approx 5.532851414 \][/tex]

Rounding to the nearest tenth of a second, we get:

[tex]\[ t \approx 5.5 \][/tex]

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

[tex] Ratio=\frac{6}{4}=\frac{2}{4/3}\\
\\

[/tex]

[tex] Ratio=\frac{3}{2}=\frac{6}{4} \\
\\
\
Ratio=\frac{3}{2}=\frac{3}{2}\\ [/tex]

Hence the required ratio is 3/2.

Answer:(d or 3/2

Step-by-step explanation: I took the test