Select all the correct answers.
Which expressions represent a quadratic expression in factored form?
x²-x-72
(x+3)(x-7)
-8(x + 56)
(x + 1)(x - 2)
(x-2) + (x + 3)

The slope of the graph is 745 and the y-intercept of the graph is 500

The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205)

Find the slope and y-intercept

The points are given as:

(2, 1990) (5, 4225) (9, 7205)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (4225 - 1990)/(5 - 2)

Evaluate

m = 745

Hence, the slope of the graph is 745

In (a), we have

m = 745

To calculate the y-intercept, we use the following points

(x1 , y1) = (0,y)

Recall that:

m = (y2 - y1)/(x2 - x1)

So, we have:

745 = (4225 - y)/(5 - 0)

Evaluate the difference

745 = (4225 - y)/(5)

Multiply both sides by 5

3725 = 4225 - y

Solve for y

y = 500

Hence, the y-intercept of the graph is 500

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The frequency of the data sets is defined as the number of times the data is repeated in the given dataset. The frequency of the given data is calculated in the table below.

The frequency of the data sets is defined as the number of times the data is repeated in the given dataset.

Height (cm)              Frequency

146           --             2

147           --              1  

148           --              1                

149           --              1                  

150           --             2                  

151            --              1                      

152           --             6                                  

153           --             2                                      

154          --              3                                                  

155          --              1          

As we can see that the height of 146 cm is repeated two times so its frequency is 2. From this concept, all the frequencies are calculated above.

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Answer:

part 1) BC is 17491 ft

part 2)  CD is 6499 ft

Step-by-step explanation:

Answer:

part 1) BC is 17491 ft

part 2)  CD is 6499 ft

Answer:

Option D --->  y=5x

Step-by-step explanation:

When a line is directly proportional it means it crosses the origin so has a y- and x-intercept of 0.

So if we use the format y=mx+c, it will work but our c value will be 0 as I explained above .

To work out the gradient we simply take 2 points (0,0) and (1,5)) on the graph and use the gradient formula :

m = change in y ÷ change in x

m = 5÷1

m = 5

Therefore our direct proportion equation will be y=5x

Hope this helped and have a good day

Parallelogram is the most precise classification for the quadrilateral shown in the graph below.

This is a quadrilateral which has two pairs of parallel sides and the area is usually measured using base × height.

The opposite sides and angles are equal which is why parallelogram was chosen as the most appropriate choice.

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Answer:

Step-by-step explanation:

The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.

  a(b +c) = ab +ac . . . . expression of the distributive property

__

When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.

Below, we have written each expression using two different common factors.

  27x +24x = x(27 +24) = 3x(9 +8)

__

  0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)

_____

Additional comment

Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.

The Euclidean Algorithm can also be useful for finding common factors.

This rule is applied to triangles to determine the unknown sides and angles. The value of x from the diagram is 11.78m

This rule is applied to triangles to determine the unknown sides and angles.

Given the following parameter

Opposite = 5m

Adjacent = x

angle = 23 degrees

According to the theorem of tangents

tan23 = opposite/adjacent

tan23 = 5/x
x = 5/tan23

x = 11.78m

Hence the value of x from the diagram is 11.78m

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Answer:

11 years

Step-by-step explanation:

7200  -  80x  =  5000  +  120x
-5000 + 80x    -5000 + 80x
           2200 = 200x
                  11 = x

The amplitude is 3

for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.

(3 - (-3)) / 2 = 3

The value of x of the cubic equation e³ˣ + eˣ - 6 = 0 will be 0.49

The cubic equation is given as ax³ + bx² + cx + d = 0. Then degree of the equation will be 3. Then we have

The cubic equation will be

e³ˣ + eˣ - 6 = 0

Let eˣ = u, then the equation will be

u³ + u - 6 = 0

Then the root of the equation is calculated by the calculator, then we have

u = 1.634, -0.817, -0.817

eˣ = 1.634, -0.817, -0.817

Take log on both sides, then we have

x = ln 1.634, ln(-0.817), ln(-0.817)

x = 0.49, not defined, not defined

Then the value of x will be 0.49.

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Answer:

10

Step-by-step explanation:

look at the y axis for the answer to a question like this

Answer:

There are 25 hostel rooms.

Step-by-step explanation:

We simply need to add up the height of each bar.

3+5+8+6+2+1=25 hostel rooms

The lake whose flood level represents an outlier is Ozark.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The flood level of Ozark is way greater than the other flood levels.

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Answer:

A

Step-by-step explanation:

A cube has 6 square faces

given surface area = 54 mm² , then

area of one face = 54 mm² ÷ 6 = 9 mm²

the area (A) of a square is calculated as

A = s² ( s is the side length ) , so

s² = 9 ( take square root of both sides )

s = [tex]\sqrt{9}[/tex] = 3 mm

Let S be the sum,

S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n

Reverse the order of terms:

S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2

Add up terms in the same positions, so that twice the sum is

2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)

or

2S = n (2n + 2)

Divide both sides by 2 to solve for S :

S = n (n + 1)

The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

St. Augustine grass can grow at the rate of 4 over 7 centimeters per week.

The weeks will it take the grass to grow 12 over 7 centimeters

4/7 x = 12/ 7

28x = 84

x = 84/28

x = 3

The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

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Answer:

12/7 divided by 4/7 = 3

Step-by-step explanation:

Answer:

G 33%

Step-by-step explanation:

17/52 = 0.32692307692

0.32692307692 is about 33 %

Have a nice day! :)

The number of the cows is 63 and the number of the horses is 37.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The number of horses and cows will be calculated by forming the expression from the given data in the question. So the two expressions are as follows.

h  +  c  = 100

500h  +  200c  =  31000

Solving the above two equations by substitution method:-

h  =  100  -  c

Put the value of h in the second equation:-

500 ( 100 - c ) + 200c = 31000

50000 - 500c  + 200c =  31000

50000 - 300c  =  31000

50000 - 31000 = 300c

c  =  19000 / 300

c = 63

Put the value of c in the first equation we will get the number of the horses.

h  + c  =  100

h  +  63  =  100

h  =  100-67  =  37

Therefore the number of the cows is 63 and the number of the horses is 37.

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Answer:

(3x - 5 = -x + 3) x = 2

Step-by-step explanation:

3x - 5 = -x + 3

3x = -x + (3 +5)

3x=-x + 8

(3x + x ) = 8

4x = 8

4/8 =2

x = 2

Answer:

[tex]BC=x=(13;+\infty)[/tex]

Step-by-step explanation:

Existence of Triangle            

[tex]x-(2x-24) < x-2 < x+(2x-24)\\[/tex]

                   [tex]13 < x > 11[/tex]

  [tex]x=(13;+\infty)[/tex]

Answer:

80

Step-by-step explanation:

10 limits it to 50, 60, 70, 80, and 90

2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45

8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)

Step-by-step explanation:

x = -2-y

3(-2-y) +3y =6

-6-3y +3y=6

у=0

O=-x-2

х=-2

Answer:

-21.4

Step-by-step explanation:

0.15x + 0.2(0.15-5-x) = 0.1

0.15x + 0.03 - 1 - 0.2x = 0.1

0.15x - 0.2x = 0.1 -0.03 + 1

-0.05x = 1.07

0.05x = -1.07

x = -21.4

The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

By solving the two quadratic equations we found the values (0,-1).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equations are;-

The two equations are solved by equating them and finding the value of x.

3x² + 6x + 4 = -3x² + 4

6x² + 6x = 0

6x ( x+1 ) = 0

6x  = 0 so x = 0

( x+1 ) = 0 so x = -1

Therefore solving the two quadratic equations we found the values (0,-1).

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The number of gallons of water in the bathtub is a function of time. Therefore, it is true.

The graph shows a curve that lets you find the number of gallons of water given any value of t betweeh 0 and 30 plus.

Hence, the number of gallons of time indeed is a function of time, in the interval shown by the graph.

The answer is true, because each t value is paired with exactly one number of gallons".

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Answer:

A

Step-by-step explanation:

Answer:  £ 3675.79

Step-by-step explanation:

A = P(1 + r)^t

A = final amount = x

P = initial principal balance = 3200

r = interest rate = 0.02

t = number of years elapsed = 7

x = 3200(1.02)^7

x = 3200 * 1.14868567

x = 3675.79414

x = 3675.79

Answer:

Hello! Your answer is 1/2

Step-by-step explanation:

there are six cubes and three of them are shaded. That is half of the parallelograms.

So 1/4 wouldn't make sense because there are three shaded out of six.

1/6 doesn't make sense because since there is six in total for it to be 1/6 there needs to be 1 shaded out of six.

And finally 1/3 doesn't make sense because 1/3 would have to be two out of six shaded.

Have a wonderful day/night/afternoon and good luck my friend!

Answer:

I think A sorry if wrong

Step-by-step explanation:

have a good day

Answer:

[tex]a^{7} +b^{6}[/tex]

Hope this helps :)