Refer to the attached image​

Refer To The Attached Image

Answers

Answer 1

Answer:     [tex]\boldsymbol{2(x-2)(5x+7)}[/tex]

========================================================

Work Shown:

[tex](4x^2-16)+3(2x-4)(x+1)\\\\4(x^2-4)+3*2(x-2)(x+1)\\\\4(x-2)(x+2)+3*2(x-2)(x+1) \ \text{ ... difference of squares rule}\\\\2*2(x-2)(x+2)+3*2(x-2)(x+1)\\\\2(x-2)(2(x+2)+3(x+1))\\\\2(x-2)(2x+4+3x+3)\\\\\boldsymbol{2(x-2)(5x+7)}\\\\[/tex]

The answer has been confirmed with WolframAlpha which is basically a calculator app, but does a ton more than any average calculator.

The CAS (computer algebra system) in the app GeoGebra is another tool I use all the time.

Yet another way to confirm the answer is to graph the original expression and the answer as separate functions. You should find they produce the exact same curve. One curve perfectly overlaps the other. This visually verifies the two expressions are the same thing, just written a different way of course.

Let me know if you have any questions about any step. The basic idea I did was to pull out the GCF and then combine like terms.


Related Questions

Does this graph represent a function? why or why not ?

Answers

Answer:

C- Yes, because it pases the vertical line test.

Step-by-step explanation:

It passes through one point exactly.

how to apply Trigonometry in cricket? ​

Answers

Answer:

as we know that in cricket there is use of tan while doing bating

The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.Based on the graph, what is the approximate number of bacteria after 16 hours? 6 bacteria 8 bacteria 60 bacteria 80 bacteria

Answers

The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.

What is a Function ?

A function is a Mathematical statement which connects a dependent variable and an independent variable.

The graph shows the  the growth rate of a certain bacteria in a lab

the number of bacteria is on the y axis and

the number of hours is on the x axis

The function is continuous ,

From the graph the approximate number of bacteria after 16 hours is

60 bacteria

Therefore Option C is the right answer.

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Jack is reading a book. In ¾ of an hour, he finished 66 pages. If he keeps reading at the same rate, how many total pages will Jack read in one hour?

Answers

The answer is 154 1.54x10^2

Which is equivalent to 80 1/4?

Answers

Answer:

B.

[tex] \sqrt[4]{ {80}^{x} } [/tex]

Step-by-step explanation:

Hope it helps

Write an equation for the n
term of each geometric
nth
sequence.
1, 4, 16, ...

Answers

nth term = ar^(n-1) where a is the first term and r is the common ratio
a = 1 and r = 4/1 = 16/4 = 4
t(n) = 1 x 4^(n - 1)

Get a similar question You can retry this question below
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 35 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Find the Largest angle:

Answers

Sum of triangle angles = 180

smallest angle = x

second angle = 3x

third angle = x +35

180 = x + 3x + x + 35

145 = 5x

x = 29 is the smallest

the second is 87

the third is 64

Emma is designing a playground for her neighborhood
park. Her drawing has a scale of 1 cm: 3 feet. The length
of her drawing is 15 cm. What will be the actual lenght of
the playground in feet?

Answers

15x3=45 feet

Answer: 45 feet

Answer:

45 feet

Step-by-step explanation:

if 1 cm = 3 ft, we can scale up the drawing from there.

We are multiplying each cm by 3, and considering that length to be 3 feet.

If we had 2 cm, (multiply both by 3) we would have 6 feet.

So, if we had 15 cm, we also need to convert this scale length into actual length. We do this by multiplying

15 × 3 = 45

So, we know that the actual length of the playground in feet is 45 feet.

una cuerda al vibrar tiene una frecuencia fundamental de 200 Hz. Si su longitud se reduce en una cuarta parte, ¿cual será la nueva frecuencia fundamental? ¿se ha alterado la rapidez de la onda al acortar la cuerda? Suponga que la tensión es constante

Answers

Sorry, wrong dialect

I thank the answer is B

Step-by-step explanation:

10

Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u

Answers

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

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Answer:

c

Step-by-step explanation:

The velocity of a particle can be modeled by the function v(t)=1/10(3t-8)^3+2. Which graph accurately shows the velocity of the park or at any time, t?

Answers

The graph that accurately shows the velocity of the park or at any time is as shown in the attached image.

How to draw a function Graph?

Velocity is defined as the rate of change of position of object with respect to time. Velocity is also defined as the speed of an object moving in a definite direction.

Velocity is a vector quantity and so it has both magnitude and direction. Its' SI unit is in meters per second.

The velocity of a particle is modeled by the function;

v(t) = ¹/₁₀(3t - 8)³ + 2

The given velocity function is cubic function and as such the attached graph shows the velocity of the particle at any time.

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Use triangles ABC and RST to answers the following questions. Is triangle ABC a right triangle? Explain your answer.

Answers

Answer:

[tex]\rightarrow \fbox {Yes} \leftarrow[/tex]

Step-by-step explanation:

ΔABC is a right triangle as it possesses a right angle (90°).

Triangle ABC is a right angled triangle since it holds Pythagoras theorem.

What is Right Angled Triangle?

Right angled triangle are those triangle for which one of the angle is 90 degrees.

For a right angled, triangle, there is a theorem called Pythagoras Theorem which relates the three sides of the triangle.

Pythagoras theorem states that,

Hypotenuse² = Base² + Altitude²

Here AC is the hypotenuse, BC is the base and AB is the altitude.

Base² + Altitude² = (BC)² + (AB)²

                             = 5² + 12²

                             = 25 + 144

                             = 169

                             = 13²

                             = AC²

                             = Hypotenuse²

Pythagoras theorem holds for the given triangle.

Hence the given triangle ABC is a right angled triangle.

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If 4y = 3x - 1, then x = ?

Answers

Answer:

[tex]x = \frac{4y + 1}{3} [/tex]

The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.

Then you divide both sides by 3, making the equation (4y + 1)/3 = x

If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.

Insert two pairs of brackets to make this statement true:
-3+-2x5divided by-4+-1=5

Answers

Answer:

-3 + -2x5 / -4 + -1 = 5

(-3 + -2)* 5/ (-4-1) = 5.

Which of the following problem types can always be solved using the law of
cosines or sines? Check all that apply.
A. SSS
B. ASA
C. SAA
D. SAS
E. SSA
F. AAA

Answers

Answer:

A, C, D, E, F

Kindly solve this question 6 too !!

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1[/tex]

A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, total 100 percent. Column 2 has entries 40 dollars, 40 dollars, 40 dollars, 40 dollars, blank total.
Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.

Daniel’s agent made
.
Daniel and the agent made a total of
from the show.

Answers

Answer:

Amount in Blank total = $160

Amount of money Daniel’s agent made = $40

Amount of money Daniel and the agent made

from the show  = $160

Step-by-step explanation:

this question is based on the calculation of percentages

so,

it is is given in the question that -

Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show.

After paying the agent, Daniel takes home =  $120

so,

let 'x' is the total amount of money that Daniel earned form the show

it is also given that Daniel promised to give 25 % to his agent from what he earned from the show

so, percentage of money left to the Daniel is

100-25 = 75%

therefore according to the question,

75percent of the x = $120

75/100×(x)   =  120

  3/4×(x)   =  120

     3x   =   120×4

     3x  =  480

       x  =  $160

so the total amount of money Daniel earned from the show is $160

Now we know that Daniel’s agent made 25% of the total amount of money earned from the show

therefore

25percent of 160 = Daniel’s agent made

     25/100 ×160  = Daniel’s agent made

             $40 =  Daniel’s agent made

so the amount of money earned by Daniel’s agent made is $40

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Answer: Daniel’s agent made

✔ $40

Daniel and the agent made a total of

✔ $160

from the show.

.

Step-by-step explanation:

Which logarithmic equation is equivalent to this exponential equation?

Answers

Step-by-step explanation:

i think b is right answer

Answer:

see photo for detailed analysis

5 14/15 on a number line rounded to the nearest whole number or half.


PLEASE HELP ME!!!!! I NEED HELP

Answers

Answer:

Step-by-step explanation:

Here we will show you step-by-step how to get the solution to: "What is 5/14 rounded to the nearest whole number?"

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

5 / 14 = 0.3

Then, we round to the nearest whole number using the following rules:

If the number to the right of the decimal point is .5 or higher, then add 1 to the left of the decimal point.

If the number to the right of the decimal point is less than .5, then leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.

.4 is less than .5. Thus, we leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.

5/14 rounded to the nearest whole number is therefore:

0

The ratio of players to soccer balls at practice sessions is 5:2. How many soccer balls are needed for 20 players?​

Answers

Answer:

8 soccer balls

Step-by-step explanation:

Since the ratio of players to soccer balls is 5:2, we can conclude that:

Players = 5 peopleSoccer balls = 2 balls

The question asks to find how many soccer balls are needed for 20 players.

Multiply both players and soccer balls by 4, this will get:

Players = 20 peopleSoccer balls = 8 balls

Henceforth, 8 soccer balls are needed for 20 players.

find the area of the shaded shape

Answers

Answer:

69 meters squared

Step-by-step explanation:

You can split the shape into two small rectangles by drawing a vertical line. Then, you can solve for the areas of the two rectangles separately and then add them together.

The larger rectangle would have an area of 5 * 12, or 60 m^2.
The smaller rectangle would have an area of 3 * 3, or 9 m^2.
Simply add those together and the total area would be 69 m^2.

Answer:

Area is 69 m

Step-by-step explanation:

(basic algebra) please help me with question:

Answers

Read the graph and you should see that at 4 years, the green bar (U Boxer) becomes more then the red bar (cost of new computer.)

The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the lengths of the diagonals.

Which are equivalent equations? Select two correct answers.

Answers

The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.

What is a Rhombus ?

Rhombus is a quadrilateral with all the sides equal to each other.

It is given that d₁ and d₂ are the lengths of the diagonals.

and Area = a

a = (1/2) d₁ * d₂

2a = d₁ * d₂

       d₁ * d₂ = 2a

       It can be written as

        d₁= 2a/d₂

a = (1/2) d₁ * d₂

d₁ * d₂ = 2a

        d₂= 2a/d₁

Therefore Option 2 and 5 are the correct answer.

The options of this question are:

1.  d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2A/d₁

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Which function is increasing?

Answers

The only increasing function is the last option:

[tex]f(x) = 5^x[/tex]

Which function is increasing?

Here we only need to see that, is as x increases also do f(x). Then the function will be increasing.

The cases for exponential functions is actually more trivial than that.

If the base is between zero and 1, then the function is decreasing.If the base is larger than 1, then the function is increasing.

In the given options there is only one function with a base larger than 1, which is the last option:

[tex]f(x) = 5^x[/tex]

That is the correct option.

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100 PTS!! PLEASE HELP! OVER DUE

Answers

Answer:

[tex]-\frac{1}{2} \vec {c}[/tex]

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because [tex]\frac{4}{4}=1=\frac{-2}{-2}[/tex]

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that [tex]k \vec{c} = \vec {d}[/tex], or equivalently, [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex].

If [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex], we just need to substitute known values and solve for k:

[tex]kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}[/tex]

Double checking that k works for the y-coordinates as well:

[tex]kc_y=d_y[/tex]

[tex](-\frac{1}{2}) (4)[/tex]    ?    [tex](-2)[/tex]

[tex]-2=-2 \text{ } \checkmark[/tex]

So, [tex]-\frac{1}{2} \vec {c} = \vec {d}[/tex]

Answer:

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that , or equivalently,  and .

If  and , we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

   ?    

So,

8. Complete the table below by drawing an example of each shape.

Answers

Answer:

Please see attachment.

The first one is a quadrilateral that is not a parallelogram.

The second one is a triangle with a right angle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

The members of a golf team contributed a total of $14.30 for a party to be held after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers. I NEED FULL ANSWER!!!!!!!!!!!!!!!!!!

Answers

Answer:

each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts

Which of the following is not an example of unit rate?
3 dollars per toy
4 dollars per toy
1 toy per 5 dollars
6 dollars per toy

Answers

Unit Rate

The unit rate is the rate for one of something (Taken from HMHCO).

For instance, you could say that Bob can make 6 gift cards in 3 hours. The unit rate would be 2 gift cards per hour. We solved for this by dividing both values by 3.

Solving the Question

3 dollars per toy

This is a unit rate. Why? Because it gives us the rate, 3 dollars, and it is for one of something, which this case would be toys.

1 toy per 5 dollars

This is not a unit rate. Why? We still get the rate, 1 toy, but this time it isn't for one of something, which in this case is dollars. It is a rate for 5 dollars, not 1 dollar.

Answer

1 toy per 5 dollars

Please help me with this thanks!!

Answers

Answer: 47°

Step-by-Step Explanation:

In a Triangle the Sum of all the Angles equal to 180° (Angle Sum Property)

Therefore,
x + 78 + 55 = 180
x + 133 = 180
x = 180 - 133
=> x = 47

Hence, ∠x = 47°

Answer:

x° = 47°

Step-by-step explanation:

The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.

78°,55° and x° are interior angles here.

So,

[tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]

Solving for x°,

[tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex][tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex][tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]

Hence,the value of x° is 47°.

Find the sum.
-110 + (-102) + (-94) + ... + 66 + 74

Answers

Answer:

Step-by-step explanation:

a=-110

d=-102-(-110)=-102+110=8

let n be the number of terms.

74=-110+(n-1)×8

74=-110+8n-8

74+118=8n

192=8n

n=192/8=24

[tex]s=\frac{n}{2} [2a+(n-1)d]\\s=\frac{24}{2} [2(-110)+(24-1)\times8]\\=12[-220+184]\\=12(-36)\\=-432[/tex]

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