Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]

Answer:

Whats the question?

Step-by-step explanation:

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x + 1.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

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Answer:

5 months

Step-by-step explanation:

Create an Equation:

m=months

Joe- 40m

Mike- 20m +100

Make each equation equivalent:

40m=20m+100

Solve:

40m-20m=100

20m=100

m=5

If you plug it back in, the equation is satisfied:

40(5)=20(5)+100

200=100+100

200=200

8 + 6.9x = 0

(Setting equation to 0 to figure out what x could be)

6.9x = -8

(Subtract 8 to both sides to isolate the x)

X = -8/6.9 or -1.15942

(Divide 6.9 to isolate x and you get your answer)

Answer: A

Step-by-step explanation: took the test

The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) -  sin(x)²

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Let revise the identities of double an angle

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

cos(2x) = 2 cos²(x) - 1

cos(2x) = 1 - 2 sin²(x)

The equation

∵ cos(2x) = cos(x + x)

cos(x)cos(x) -  sin(x)sin(x)

cos²(x) -  sin(x)²

The identity is cosine double angle identity for cosine difference

Learn more about trigonometric;

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#SPJ2

Answer:

See below.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1/24x = 1/6

Multiply 1/6 by the reciprocal of 1/24 which is 24/1

Therefore;

X = 1/6 × 24/1

X = 4

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

The answer is "20".

Step-by-step explanation:

Given value:

[tex]\to Z_{critical}= 1.96\\\\\to {StdDev} = standard\ deviation = 50 \\\\\to n= 25\\\\[/tex]

formula:

[tex]\bold{Margin error}= Z_{critical} \times \frac{\text{StdDev}}{\sqrt{n}}\\[/tex]

                       [tex]= 1.96 \times \frac{ 50 }{\sqrt{25}}\\\\= 1.96 \times \frac{ 50 }{\sqrt{5 \times 5}}\\\\= 1.96 \times \frac{ 50 }{{5}}\\\\= 1.96 \times 10 \\\\= 19.6 \\\\= 20[/tex]

Answer:

the answer is (2,6)

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+5x-2+18=180

26x-2=180

26x=182

x=7

Answer:

Step-by-step explanation:

The equation is

Salary = 11 * x              Where x is the number of hours.

salary = 143

hours = 11

x = ?

143  = 11x                     Divide both sides by 11

143/11 = 11x/11

13 = x

So to get 143 he works for 13 dollars / hour

salary = 13 * x

salary = 91

13 x = 91

13x/13 = 91/13

x = 7

He must work 7 hours to get 91 dollars.

Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar

Given:

To Find:

Solution:

We can solve this question using two methods Unitary Method and Method of proportion.

Unitary Method -

For $143 he work 11 hours

For $1 he work [tex]\dfrac{11}{143}[/tex] hrs

For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs

= 7 hours

He must work 7 hours to get $91.

[tex] \ {\rule{50mm}{3pt}}[/tex]

Method of proportion -

He work 'x' hours for $91. (x as no. of hrs)

[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]

143 : 91 :: 11 : x

Product of mean = Product of extreme

143 × x = 91 × 11

→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs

He must work 7 hours to get $91.

[tex] \ {\rule{90mm}{3pt}}[/tex]

Answer:

x = 0

Step-by-step explanation:

Calculate the product

Any expression multiplied by 0 equales 0

Solution

X = 0

Hope this helps!

Answer:

12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)

Step-by-step explanation:

assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes

The figure shown would represent a parallelogram if opposite sides are parallel and congruent

It is true that the figure is a parallelogram

The coordinates of the figure are given as:

O = (0,0)

P = (a,b)

S = (a + c,b)

T = (c,0)

Vertices O and T are on the same horizontal level, because they have the same y-coordinate

The above is also applicable to vertices P and S

By observation, we have the following distances:

PS = c

OT = c

This means that the opposite sides are parallel and congruent

Hence, the figure is a parallelogram

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[tex] - 5(x - 10) = - 50[/tex]

[tex] - 5x + 50 = - 50[/tex]

[tex] - 5x = - 50 - 50[/tex]

[tex] - 5x = - 100[/tex]

[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]

[tex]x = 20[/tex]

Answer: D

Step-by-step explanation:

Equivalent when u use x=2

Answer:

a=21060[tex]in^{3}[/tex]

Step-by-step explanation:

A= B*W*H

A=36*39*15

A=1404*15

A=21060

Answer:

-4/3, -4/5, -2/3, 7/10, 7/8

After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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Answer:

2.828

Step-by-step explanation:

Step-by-step explanation:

for example 1)8,9,12,8,7,11,3,9,5

we need to find average

first add all the numbers =72

we divide by how many number we havein data base which is 9 (mean count how many numbers we have)

72/9=8

Answer:

3. 2 6 30          6. 8:5

   3 9 45

Step-by-step explanation:

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

Answer:

Solve for x

by simplifying both sides of the equation, then isolating the variable. x=ordw

Step-by-step explanation:

or it could be word

Answer:

x=57

Step-by-step explanation:

I think i already answered this question, but i will rewrite it again! since the angles 'x' and '2x+9' add up to become a supplement angle or a straight line.

We can establish the relation which says that the sum of these two angles is equal to 180.

[tex]x + 2x + 9 = 180[/tex]

[tex]3x + 9 = 180[/tex]

[tex]3x = 180 - 9[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3} = 57[/tex]

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope but different y-intercepts

Perpendicular lines have the negative reciprocal slope.

Answer:

The answer is Math. M a t h

Step-by-step explanation:

Good luck!