Find upper and lower fences (SHOW ALL WORK and formulas used) Upper fence:________Lower fence:________

When we are factoring a quadratic function, we are trying to reverse the following equation

Now, comparing the right-hand side of the above equation and the one given in the problem we see that

This means the question simplifies to "what are the two numbers that if I add them I get -2 and if I multiply them I get -15? "

Well, If we set a = -5 and b = 3, then

Hence, our expression factors to

Answer:

A

Step-by-step explanation:

Point A

:] its ok we all dum sometimes lol

100 ml of the first solution and 200 ml of the second are required.

Answer:

x = 22

Step-by-step explanation:

(88 - x)° = 3x°

-x - 3x = -88

-4x = -88

[tex]x = \frac{-88}{-4} \\\\ x = 22[/tex]

The interest owned by Francesco at the end of one year would be $19023.69.

The simple interest on a given principle amount [P] at rate [r%] for [t] years is given by -

I = (P x r x t)/100

Given is Francesco who obtains a loan of $18,965.00 at an interest rate of 3% for 1 year.

From the data given, we can write -

Principle amount = [P] = $18,965.00

Rate = [R] = 3%

Time = [T] = 1 year

Now, using the formula for calculating the simple interest, we get -

I = PRT/100

Substituting the values -

I = (18965 x 0.3 x 1)/100

I = (18965 x 0.3)/100

I = 189.65 x 0.3

I = 58.69

Amount = P + 58.69 = 18965 + 58.69 = 19023.69

Therefore, the interest owned by Francesco at the end of one year would be $19023.69

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Answer: The answer is 76

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Trust me, this is the right answer.

Answer:

Rate of change =$43

Step-by-step explanation:

Rate of change is also known as the gradient or slope

Gradient= y2 - y1 / x2 - x1

The Xcoordinate is usually written first.

Y2 = 384

Y1= 169

X2=8

X1= 3

Rate of change= 384- 169 /8-3

= 215/5

= $ 43

In linear equation, $56.65are  the value of the coins in dollars .

What is a linear equation example?

We need to find how many of the 206 coins are nickels, dimes, or quarters.

We know the quantities of each coin in relation to one another.

From that relationship we can set up a ratio.

Let Q = number of quarters

Let D = number of dimes

Let N = number of nickels

Then Q:D:N = 1:1:2

this tells us if the girl had 4 coins, she would have 1 quarter, 1 dime, and 2 nickels.

We want to keep this same ratio but we want the total number of coins to be 206.

If we divide 206 by 4, we get the number that we use to multiply our ratio.

206/4 = 51.5

So she has 51.5 quarters, 51.5 dimes, and 103 nickels.

the value of the coins in dollars = 51.5(0.10) + 51.5(0.05) + 103(.25) = $56.65

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The scale factor of model to the tower is 3:1640.

The scale factor states the scale by which a figure is bigger or smaller than the original figure.

In other words, scale factor is a ratio between two corresponding sides of similar figures.

Therefore, the actual tower is 1,083 feet tall and 410 feet wide at the base.

The scale model currently has a base that is 0.75 feet wide.

Therefore, the scale factor of the model can be calculated as follows;

The scale factor can be written as a ratio or fraction.

The scale factor of the base to the model is the same with the height of the tower to the model.

0.75 : 410

multiply both side by 100

75 : 41000

divide both sides by 25

Therefore,

3 : 1640

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Answer:

about 14, (its not a whole number but its the closest i could get)

Step-by-step explanation:

Answer:

14.833333333

Step-by-step explanation:

I'm assuming you want a rounded answer (14.83), but if you didn't it's 14.83 into perpetuity (meaning that the 3's don't end!)

Hopefully, I helped!

The equation of the relation is y = 3/2x.

   x    |   y    

   0       0

   2       3

   4       6

To write the equation for the proportional relationship between two variables, x and y, find the unit rate, k, which is k = y/x.

Substitute the value of k into y = kx to write the equation of the relationship.

Using a point on the line, (2, 3):

k = y/x = 3/2

Substitute k = 3/2 into y = kx:

y = 3/2x

Using the equation, substitute each of the values of x in the table to get the corresponding value of y:

For 0:

y = 3/2(0)

y = o

For 2:

y = 3/2(2)

y = 3

For 4:

y = 3/2(4)

y = 6

The table is:

   x    |   y    

   0       0

   2       3

   4       6

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Answer: y = 3x +1

Step-by-step explanation:

y =mx +b

m(slope) = 3

b(y-int) = ?

y = 3x+b

substitute in values

4 = 3(1) +b

4 = 3+b

b = 1

y= 3x+1

Answer: D

Step-by-step explanation:

Because I can math

Answer: The volume of the circular swimming pool to the nearest cubic meter is 151 [tex]m^{3}[/tex].

Step-by-step explanation: According to the question the swimming pool is in the shape of a cylinder, and the top is circular having a radius and depth.
To calculate the volume of a cylinder(pool) we will use the formula for the volume of a cylinder:
The radius of the cylinder = 4 m
height h=3
The volume of the cylinder (V) = [tex]\pi r^{2} h[/tex]
=[tex]\pi (4)^{2} *3[/tex]
Plugging π =3.142
= 3.14*16*3
=150.72 [tex]m^{3}[/tex]
rounding off to the nearest cubic meter
=151 [tex]m^{3}[/tex]
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Answer:

The sum of 3 and the product of 4 times 12.

Step-by-step explanation:

The equal sign would mean the words "the sum", which also corresponds with "3+". The 4 x 12 would be referred to by "the product" and "times".

The answer is 14metres 4m long 3m wide 2 x (4+3) = 14

Answer:

x = 7

Step-by-step explanation:

For line q and line r to be parallel lines,

the angle with a measure of 108 and the angle represented with measure 15x + 3 must be alternate interior angles which means two angles have equal measures so we can write the following equation:

15x + 3 = 108 subtract 3 from both sides

15x = 105 divide both sides by 15

x = 7

The parts of the triangles Ebony needs to compare so as to make sure both triangles are congruent by SAS are;

Two triangles are said to be congruent when the three sides and three interior angles of one triangle have the same measure as the three sides and the three interior angles of the other triangle.

The given triangles are ∆MON and ∆GEF

The segments and angles that Ebony has ensured are congruent are;

[tex] \overline{EF} \cong \overline{ON}[/tex]

[tex] \angle{ MON} \cong \angle{ GEF}[/tex]

The method by which Ebony intends to use to make sure that the two triangles are congruent, SAS, Side–Angle–Side congruency postulate.

The Side–Angle–Side congruency postulate states that two triangles are congruent if two sides and an included angle in one triangle are congruent to the corresponding two sides and included angle in the other triangle.

Given that the sides that form included angles with [tex] \angle{ MON} [/tex] are [tex] \overline{ON}[/tex] and [tex] \overline{OM}[/tex] and the sides that form an included angle with [tex] \angle{ GEF}[/tex] are [tex] \overline{EF} [/tex] and [tex] \overline{EG} [/tex], the other segments Ebony needs to compare are therefore the segments;

[tex] \overline{EG} [/tex] and [tex] \overline{OM}[/tex]

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Answer:it is 32 peices d

Step-by-step explanation:

Answer:

42

81

91

Step-by-step explanation:

m = mystery

f = fantasy

[tex]\frac{m}{f}[/tex] = [tex]\frac{m}{f}[/tex]

Compare the ratio with the actual numbers.  Solve for the missing number

[tex]\frac{7}{9}[/tex] = [tex]\frac{m}{54}[/tex]  you need to multiply 9 by 6 to get 54 so multiply 7 x 6 to get 42.

[tex]\frac{7}{9}[/tex] = [tex]\frac{63}{f}[/tex]  Multiply 7 x 9 to get 63,so multiply 9 by 9 to get 81.

[tex]\frac{7}{9}[/tex] = [tex]\frac{m}{117}[/tex]  9 x 13 is 117, so multiply 7 by 13 to get 91.

Answer:

-5

Step-by-step explanation:

m = (11 - 6) / (13 - 14) = 5/(-1) = -5

Answer:

-5

Step-by-step explanation:

1-6/15-14=-5/1=-5

The equivalent expression which could be used to find the total cost is; ( 1 + 0.2 ) 35.

It follows from the task content that the expression which is equivalent to 1.20(35) as given in the task content is to be determined.

Since the given expression whose equivalent is to be determined is; 1.20 (35).

Since a 20% tip indicates a 0.2 fraction of the whole, the resulting equation is therefore;

( 1 + 0.2 ) 35.

And ultimately, the required equivalent expression is; (1 + 0.2) 35.

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The domain of the function is 1 ≤ x < 2.

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates).

We have f : [tex]\frac{1}{\sqrt{x-1} } + \frac{1}{\sqrt{2-x} }[/tex]

[tex]\sqrt{x-1}[/tex] ≥ 0

x- 1 ≥ 0

x ≥ 1

Similarly , [tex]\sqrt{2-x}[/tex] > 0

2 - x > 0

2 > x

So our domain is 1 ≤ x < 2.

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Answer:

7.5

Step-by-step explanation:

750 is the volume, so divided by then is 75, then divided by 10 again is 7.5

Hope this helps!

Answer:

7.5

Step-by-step explanation:

10x10x7.5=750

Answer: He drove for 2 hours and 30 minutes. Hope you do great! :)

Answer:2.5 hours

Step-by-step explanation:

Answer:

8?

Step-by-step explanation:

so if 25 hours gets her to 395 dollars that you divide 395 by 25 to get how much money she makes per hour.  

you get 15.8 then you have to see how many hours she has to work to make 126.40 which is 8 cuz 15.8 * 8 = 126.4

I THINK??

Answer:

y=4/3x-3

Step-by-step explanation:

(y2-y1)/ (x2-x1)

Answer: 130 degrees

Step-by-step explanation:

The interior angle where line c intersects line b is equal to 50 (given). therefore, its supplementary angle is 130 degrees. the opposite angle is therefore equal to 130 degrees, which makes angel x equal to 130 degrees.

https://www.mathplanet.com/education/pre-algebra/introducing-geometry/angles-and-parallel-lines

Answer:

9 students

Explanation:

Every 8th person that entered the cinema received a free ticket.

The number of students who entered in the first hour = 76.

The first person given a ticket was the 8th person.

To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:

• The first term = 8

• The last term = 76.

• The common difference (every 8th person) = 8.

Using the formula for the last term of an arithmetic sequence, we have:

Our goal is to find n, the number of students.

Since the number of students that entered in the first hour is not more than 76, we have that:

9 students received a free ticket.