Grade:
Subject: Ma
Stream: Advanced
Number of P
End of Term 1 Exam
Academic Year 2018/2019
Part 1
Circle the letter corresponding to the correct answer.
1) Write an algebraic expression for "3 times X squared minus 4 times X"
a) 3x - 4x?
c) 3x² - 4
b) 3x - 4x
d) 3x2 - 4x​

Answers

Answer 1
the answer is c) 3x^2- 4

Related Questions

(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)

Estimate and then solve 6,699 ÷ 72 = ___.

A) 92 r 4
B) 93 r 3
C) 94 r 3

Answers

Answer:

C) 93 r 3

Your Welcome! ^O^

   0 0 9 3

7 2 6 6 9 9

 − 0      

   6 6    

 −   0    

   6 6 9  

 − 6 4 8  

     2 1 9

   − 2 1 6

         3

Answer:

thats wrong the correct answer is 94 r 3

Step-by-step explanation:

If y= 6x + 8 what is y when x= -3

Answers

Answer:

y=2

Step-by-step explanation:

y = 26

If you substitute x for -3 in the equation y = 6x + 8, your equation becomes:

y = 6(-3) + 8 now you can simplify it and solve for y

6 x -3 = -18

18 + 8 = 26

y = 26

A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. Find the dimension of the room

Answers

Then the length of the room is 4w . So the perimeter of the room is w+4w+w+4w=10w . Divide both sides by 10 to get w=8 . Hence the width of the room is 8 meters and the length is 4w=32 meters.
_____________________
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Help Please!! I WILL give brainliest and thanks!!
Which of these inequalities are equivalent to r > -11?
Check all that apply.
-r -33
-3r 33
Random answers get reported

Answers

Answer:

ez pts tysm

Step-by-step explanation:

how many hectares of land are there in a field that is 450 m long and 1200 dm wide.​

Answers

Answer:

Step-by-step explanation:

Given

[tex]Length = 450\ m[/tex]

[tex]Width = 1200\ m[/tex]

Required

Determine the number of hectares  in this dimension

First, we need to calculate the area of the land

[tex]Area = Length * Width[/tex]

[tex]Area = 450m * 1200dm[/tex]

Convert dm to m

[tex]Area = 450m * 120m[/tex]

[tex]Area = 54 000 m^2[/tex]

[tex]1 hectare = 0.0001m^2[/tex]

So, we have:

[tex]1\ hectare = 0.0001m^2[/tex]

Multiply by 54000

[tex]Hectare = 0.0001 * 54000[/tex]

[tex]Hectare = 5.4[/tex]

Hence, there are 5.4 hectares

Please tell me this answer

Answers

Answer: 162

60466176/373248

Step-by-step explanation: 12^4*9^3*4= 60466176 and 6^3*8^2*27= 373248. If you divide these together you get 128.

Fixed expenses should
A. be less than discretionary spending
B. be more than discretionary spending
CC. not total more than your gross pay
D. not total more than your net income

Answers

D. Not total more than your net income

Dhhdhdbdnd did

If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section?

Answers

Answer:

Yes, that's right:  the cross section will be a rectangle (but also a parallelogram).

Step-by-step explanation:

5+1000000000000000000

Answers

Answer:

1000000000000000005

Answer:

1000000000000005

Step-by-step explanation:

Which are the partial products of 3706 x 4?

Answers

Answer:

There are no partial products to this equation. There is only one product! Okay first we will multiply 4 x 6 to get 4 in our ones place, carry the 2 over the zero put the 2 down 4 x 7 is 28 put the 8 down carry the 2, 4 x 3 is 12 + 2 is 14! So you're final product is 14,824!!!

The partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

The given product is 3706 x 4 and can be written as:-

3706 x 4 = [ 3000 x 4 + 706 x 4 ]

Therefore, the partial products of the given expression will be ( 3000 x 4 ) + ( 706 x 4 ).

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Tyler’s brother works in a shoe store. Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?

Answers

Answer: 12.6

Step-by-step explanation: calculator  ._.

Find the value of x when x² is equal to 121. * 4 points

Answers

you would take the square root of x^2 and of 121 so x =11

Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.

Answers

The distance between the points have been calculated.

What is the Distance Formula?

The distance formula is used to calculate distance between two points on a coordinate system.

The formula is

[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

AB² =  (2-0)²+(4-4)²      

AB =     2

FG² =  (6-7)²+(1-1)²

FG =1                  

BC² =  (2-2)²+(3-4)²=1          

BC = 1

GH² =  (6-6)²+(1.5-1)²=0.5        

GH = 0.5

DI² =  (5-4)²+(2-2)²

DI = 1

HI² =  (5-6)²+(2-1.5)² = 1.25

HI =  1.12

DE² =  (4-4)²+(0-2)²

DE =    2

IJ² =  (5-5)²+(3-2)²

IJ = 1

EA² =  (0-4)²+(4-0)²      

EA = 5.66

JK² =  (7-5)²+(1-3)²    

JK =    2.83

The missing data of the question is

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

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oscar earns 12 per hourfor the first 8 hours he works each day. for every hour worked 8, he earns 1 1/4 of his normal hourly wage. on Thursday he wroked from 8:00 A.M. to 11:45 A.M., took a 30 minute lunch break, and he left work for the day at 6:45. how much money (in dollars) did oscar earn Thursday?

Answers

Answer:

freeeeeeeeeeeeeee  pointtttttttttttt

Step-by-step explanation:

write an equivalent multiplication expression for 1/3 divided by 3​

Answers

Answer:

1/3 times 1/3

Step-by-step explanation:

the answer is 1/3 * 1/3 because when you divide with fraction you make the 3 or 3/1 turned around which is 1/3, then you multiply 1/3 * 1/3

The minimum diameter for a hyperbolic cooling tower is 57 feet...

Answers

Answer:

Can give you the example then you have to figure out.

Step-by-step explanation:

We are assuming the center of the tower is at the origin, so we can use the standard form of a horizontal hyperbola centered at the origin: \displaystyle \frac{{x}^{2}}{{a}^{2}}-\frac{{y}^{2}}{{b}^{2}}=1

​a

​2

​​  

​x

​2

​​  

​​ −

​b

​2

​​  

​y

​2

​​  

​​ =1, where the branches of the hyperbola form the sides of the cooling tower. We must find the values of \displaystyle {a}^{2}a

​2

​​  and \displaystyle {b}^{2}b

​2

​​  to complete the model.

First, we find \displaystyle {a}^{2}a

​2

​​ . Recall that the length of the transverse axis of a hyperbola is \displaystyle 2a2a. This length is represented by the distance where the sides are closest, which is given as \displaystyle \text{ }65.3\text{ } 65.3  meters. So, \displaystyle 2a=602a=60. Therefore, \displaystyle a=30a=30 and \displaystyle {a}^{2}=900a

​2

​​ =900.

To solve for \displaystyle {b}^{2}b

​2

​​ , we need to substitute for \displaystyle xx and \displaystyle yy in our equation using a known point. To do this, we can use the dimensions of the tower to find some point \displaystyle \left(x,y\right)(x,y) that lies on the hyperbola. We will use the top right corner of the tower to represent that point. Since the y-axis bisects the tower, our x-value can be represented by the radius of the top, or 36 meters. The y-value is represented by the distance from the origin to the top, which is given as 79.6 meters. Therefore,

x

2

a

2

y

2

b

2

=

1

Standard form of horizontal hyperbola

.

 

b

2

=

y

2

x

2

a

2

1

Isolate  

b

2

 

=

(

79.6

)

2

(

36

)

2

900

1

Substitute for  

a

2

,

x

,

and  

y

 

14400.3636

Round to four decimal places

The sides of the tower can be modeled by the hyperbolic equation

\displaystyle \frac{{x}^{2}}{900}-\frac{{y}^{2}}{14400.3636 }=1,\text{or}\frac{{x}^{2}}{{30}^{2}}-\frac{{y}^{2}}{{120.0015}^{2} }=1

​900

​x

​2

​​  

​​ −

​14400.3636

​y

​2

​​  

​​ =1,or

​30

​2

​​  

​x

​2

​​  

​​ −

​120.0015

​2

​​  

​y

​2

​​  

​​ =1

The shape of hyperbolic cooling tower is a conic section that can be described with a formula equation.

a = 28.5, b ≈ 52.65

[tex]Equation \ of \ hyperbola;\ \dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

Reasons:

The parameters of the hyperbolic cooling tower are;

Minimum diameter = 57 feet

The height at which the diameter occurs = 155 ft.

The diameter of the tower = 175 feet

Total height of the tower = 200 feet

Height at which the center of the hyperbola occurs = 155 feet

Solution:

The equation of a hyperbola is; [tex]\dfrac{(x - h)^2}{a^2} - \dfrac{(y- k)^2}{b^2} = 1[/tex]

The center of the hyperbola = (0, 155)

[tex]a = \dfrac{57}{2} = 28.5[/tex]

At y = 155,  

Therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y -155)^2}{b^2} = 1[/tex]

At y = 200 feet [tex]x = \dfrac{75 \ feet}{2} = 37.5 \ feet[/tex]

Therefore;

[tex]\dfrac{37.5^2}{28.5^2} - \dfrac{(200 -155)^2}{b^2} = 1[/tex]

b² = 2769.0340909

b ≈ 52.62

The equation of the hyperbola is therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

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A busy traffic intersection in a city was experiencing an average of 20 accidents per week. The council decided to try to reduce the number of accidents by placing a stop sign at the intersection. In this situation, what is:

a. the null hypothesis
b. the alternative hypothesis

Answers

Answer:

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 > μ2

Step-by-step explanation:

We are told that the telraffic was experiencing an average of 20 accidents per week.

Thus, μ = 20

We are told that the council decided to try to reduce the number of accidents.

Thus defining the hypothesis, we have;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 > μ2

write an equation of a line that passes through (-6,4) and is PERPENDICULAR to y=3x-11

Answers

Answer:

y = -1/3x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Perpendicular lines have the negative reciprocal slope of the original.

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 3x - 11

Point (-6, 4)

Step 2: Find slope m

Negative Reciprocal of 3 = -1/3

Step 3: Define

y = -1/3x + b

Step 4: Find y-intercept b

Substitute in point:                    4 = -1/3(-6) + bMultiply:                                      4 = 2 + bSubtract 2 on both sides:         2 = bRewrite:                                      b = 2

Step 5: Write perpendicular linear equation

y = -1/3x + 2

The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min.



How many meters must the jogger travel each minute?

Answers

Answer:

117.6 meter per min

Step-by-step explanation:

since the jogger wants to complete the trail in 30 minutes and the total length of the trail is 3528m you just need to divide the length of the trail (3528) by the total amount of time to get the answer

Answer:

117.6m per minute

Step-by-step explanation:

3528:30

588:5

30 divided by 6=5

3528 divided by 6=588

Then

5 divided by 5=1

588 divided by 5=117.6

117.6m:1

Please help.
Will rate Brainliest!
Thanks in advance!

Answers

Answer:

y = 8x + 13

Step-by-step explanation:

slope-intercept form: y = mx + b

Given equation: [tex]y = -\frac{1}{8}x -2[/tex]

Second equation: unknown

Slope: unknown

Given point: (-2, -3)

When two lines are perpendicular, their slopes are negative reciprocals. So, since the slope(m) of the given line is [tex]-\frac{1}{8}[/tex], the slope of the line perpendicular to it is 8.

Now we know the slope of the line. To find the y-intercept, input the values of the slope and the given point into the equation format and solve for b:

y = mx + b

-3 = 8(-2) + b

-3 = -16 + b

13 = b

The y-intercept is 13.

Now that we know the slope and the y-intercept, we can write the equation:

y = 8x + 13

Hope this helps :)

Which of the following shows the correct sums that would be found when clustering is used to find the answer to the problem 34 x 12?
340 + 68 = 408
340 + 34 = 374
340 + 68 = 398
300 + 8 = 308

Answers

It would be the first one because 34*12 is 408 and that is the only answer with that sum

The first option is correct.

The calculation is as follows:

if we multiply the 34 and 12 so it comes 408

And according to first option, it we add 340 and 68 so it comes 408.

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A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer
than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?

Answers

Answer:

Step-by-step explanation:

d + 2d - 8 = 46

3d - 8 = 46

3d = 54

d = 18

Leon visited Chicago, which is located on the shore of
Lake Michigan. The lake has a volume of about 4,920
_. Chicago was a major gateway to the west in
1825 when the Erie Canal was completed. When built,
the Erie Canal was 680 long and only 100_, or
10 deep. While in Chicago, Leon visited the Sear
Tower. One of the tallest buildings in the world, the
Sears Tower is 443 tall
during Leon's visit was about 7

Answers

Answer:

Step-by-step explanation:

Leon visited Chicago, which is located on the shore of

Lake Michigan. The lake has a volume of about 4,920

km cubed. Chicago was a major gateway to the west in

1825 when the Erie Canal was completed. When built,

the Erie Canal was 680 long and only 100 or

10 deep. While in Chicago, Leon visited the Sear

Tower. One of the tallest buildings in the world, the

Sears Tower is 443 tall

during Leon's visit was about 7

11. Estimate the number of quart containers Ethan
can fill from a container with 8 quarts of water.

Answers

Answer:

A little over 4 and a half

Step-by-step explanation:

8 divided by 2 (making it one half) is 4 and 7/8 is greater than 1/2

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=−16x 2 +193x+128

Answers

Let x be -b/2a

x = -193/2•(-16)

x = -193/-32

x = 6.03125

Now, plug this value of x into every x in the function and simplify. The max is the y value.

Can you finish?

The time at which the rocket will hit the ground to the nearest hundredth of seconds is 13 seconds.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given height of tower y in terms of time is seconds x

y = -16x² + 193x + 128

The height of the tower when the rocket hit the ground will be zero.

Thus, y = 0

0 = -16x² + 193x + 128

16x² - 193x - 128=0

By quadratic equation formula,

x = [-(-193) ± √((-193)²-4×16×(-128))]/ 2×16

x = [193 ± 213.168]/32

x = 12.69 and x = -0.63 since time can be never negative thus 12.69 seconds will be correct.

12.69 to the nearest hundred is 13.

Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".

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Each good worker can paint my new house alone in 12 hours. Each bad worker can paint my house alone in 36 hours. I need my house painted in 3 hours. If I can only find 3 good workers, how many bad workers must I also find in order to have my house painted on time?

Pls give explanation

Answers

In 3 hours, one good worker can paint one fourth of your house. Three good workers can thus paint three fourths of your house in three hours, leaving one fourth to be done by bad workers.

One bad worker can paint one twelfth of your house in 3 hours. There are three twelfths in one fourth, so you will need to hire three bad workers to have your house painted on time.

Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below. 1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b. 2. Multiply by 5: a = 50 minus 10 b. Which statement about Roman’s work is true? In step 1, he needed to add 2b to both sides of the equation. In step 1, he needed to divide both sides of the equation by 2b. In step 2, he needed to divide both sides of the equation by 5. In step 2, he needed to subtract 5 from both sides of the equation.

Answers

Answer:

It's C

Step-by-step explanation:

In step 2, he should have divided. Have a great day!

Answer:

C: In step 2 he should divide the equation on both sides by 5.

Step-by-step explanation:

Took the test, got it right.

WILL GIVE BRAINLIEST

Answers

Answer: a.

Step-by-step explanation:

If there is a negative mark next to the whole fraction, that means both of the numbers are negative.

I am not sure if this answer is accurate. Please inform me if I am incorrect. TY.

Renting the ice-skating rink for a birthday party costs $200 plus $4 per person. the rental costs $324 in total

Answers

31 people, you do 324-200=124 and divide 124 by 4 and get 31 people

If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.

What is an algebraic equation?

A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.

How to solve this problem?

Let the number of people at the birthday party be x.

Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.

Also, given that the entire cost of the rental is $324.

We can write the corresponding algebraic equation as

4x + 200 = 324

Now we have to solve this equation.

So, 4x = 324 - 200 = 124

i.e. x = 124/4 = 31

Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.

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What is the distance between $(12, 4)$ and $(5, 28)$?

Answers

Answer

8

Step-by-step explanation:

16

Using the distance formular, the distance between the coordinate points given is 25

Recall the relation :

Distance = √[(y2 - y1)² + (x2 - x1)²]

Distance = √[(28 - 4)² + (5 - 12)²]

Distance = √[(24)² + (-7)²]

Distance = √(576 + 49)

Distance = √625

Distance = 25

Hence, the distance between the points is 25

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Ill give someone 90 points if they answer a question I have y=2x-6-3. Y0. Y3. Y6. YSolve for Y PLS HELP!! WHOEVER ANSWERS QUICKEST AND CORRECT WILL GET BRAINLIEST!! ALSO GIVE AN EXPLANATION TO EARN BRAINLIEST!!While in ___, public readings of the Declaration were followed by cheers, firing of muskets and cannons, bonfires and other celebrations.GeorgiaMassachusettsNew YorkPennsylvania Read this excerpt from The Call of the Wild. For two days and nights Buck never left camp, never let Thornton out of his sight. He followed him about at his work, watched him while he ate, saw him into his blankets at night and out of them in the morning. But after two days the call in the forest began to sound more imperiously than ever. Buck's restlessness came back on him, and he was haunted by recollections of the wild brother, and of the smiling land beyond the divide and the run side by side through the wide forest stretches. Once again he took to wandering in the woods, but the wild brother came no more; and though he listened through long vigils, the mournful howl was never raised. How has Buck changed? -He has become more anxious about the call from the wild. -He has become less haunted by his dreams. -He has become more loyal to all mankind. -He has become less aware of his past life as an obedient pet. What is the answer plz!!!! I Will mark brainliest!!!!!! 29 can go into 57 how many times why does deceleration lower force during a collision? 89 + z = -38, z =what is the answer The people who perform jobs and tasks are part of which factor ofproduction?A. ScarcityB. LandO C. LaborO D. Capital this is probably the easiest question ever yet im too dumb enough to figure it out ;-; answeerrrrrrrr pleaseeeee C: Which codon is the code for the amino acid histidine? (His) PLEASE HELP ME I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST.... sabans coach is tossing tennis balls to him while sabon runs in place. The coach is alternating sides and speed as well as the height at which he is throwing each ball. Which component of fitness is the specific focus in this exercise?A. balance B. coordination C. agilityD. power Use the drop-down menus to indicate whether each example describes a main idea, keywords, or a clue. The words "mural," "sculpture," and portrait" are each bolded in the textbook. In response to the lesson question, the teacher explains that often art reflects a society's values. The teacher emphasizes the importance of paying close attention to the visual style of various art pieces as you read. HELP PLEASE!!!People in democracies tend to have more liberties and personal protections than those of other governments (true or false)? Using at least three sources, write a brief history about the location, culture, and dominant religions of the following groups: Arab, Ashanti, Bantu, and Swahili. In your essay, describe any common characteristics these groups share. Cite your evidence. 11. A ball rolls across a table of height 1.2 meters, leaves the table with a speed of ve, and lands 0.69mfrom the edge of the table.vo1.2 m-0.69 ma. Find the time it takes the ball to fall from the edge of the table and reach position A in the pictureabove. Look Please"/-------- Please helppp Im struggling give your awnser in simplest form. Which color of light is produced by mixing red light and blue light?A)white lightB)yellow lightC)magenta lightD)cyan light