What is the product of (x-5) and (x-4)? Use the model to find the result

Answers

Answer 1

Answer:

The product of the model  is [tex]x^2-9x+25[/tex]

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]


Related Questions

Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?

Answers

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13

Answers

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

what is this answer 4\5+2\10

Answers

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

                         

Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft

Answers

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Help me!!!!!!! Plzzzz

Answers

Answer:

Option 3

Step-by-step explanation:

help i will make u brainllest

Answers

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

FUNCTIONS HELP ME ASAP

Answers

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42

Answers

The distributive property.

Answer:

I think this is the distributive property.

Step-by-step explanation:

Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY

Answers

It’s 4. He doesn’t increase or decrease in distance so it’s a straight line so it’s constant...

Please answer it now in two minutes

Answers

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000

Answers

Answer:

10,000,000,000

hopefully this helped :3

Answer:

C.10,000,000,000

Step-by-step explanation:

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.

Answers

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

what is the formula for this equation?

hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day

Answers

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

can some body help me plz​

Answers

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare

Answers

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Need hep with this question​

Answers

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000

Let's check :

take the second year : V= -2000*2 +20000 = 16000 that's true !

In the parallelogram below,
z = [ ?

Answers

Answer : z = 20

Explanation:
2z+16 + 124 = 180 degree
2z + 140 = 180
2z = 40
z = 40/2 = 20

Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?

Answers

Answer:

2070

Step-by-step explanation:

Multiply 230 people by 9 ferries, if each ferry is used once.

a vertical flag pole TAD is supported by two wires AB and AC, given that angle ABD=67°,AB =2 m and AC =2.5m . find the length of AD​

Answers

Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]

[tex]AD=\frac{2}{sin 90} * sin 67[/tex]

AD= 1.84 m

Find the angle C

[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]

sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]

= 0.736

[tex]sin^{-1} (0.736)=47.39[/tex] degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]

[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

If f(x) = x2 + 3x - 4, find f(4).

Answers

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Please help me find the answer ASAP

Answers

There are 11 people in the office.


These are the numbers:

18, 24, 24, 28, 30, 32, 33, 35, 36, 42 and 43

And if we count all those numbers you can see 11 people took the crossword

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the
cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.

Answers

Answer:

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

V= (4/3)*16³*π = 17157.28 in³ this really close to the volume of this sphere

The volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.

If the height of the cylinder is 32 inches.

The height of the cylinder and sphere are same.

Then the radius of the sphere will be

r = 32 / 2

r = 16 inches

Then the volume of the sphere will be

V = 4/3 π(16)³ cubic units

V = 5461.3 π cubic inches

Then the correct option is D.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ2

Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?

Answers

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).

The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).

the location of point A after the transformations are complete is (-5, 1)

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

What is 14v14 divided by 72 in simplest form?

Answers

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?

Answers

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.

Answers

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

help i must get this correct i will make u brainllest
plzzz anyone

Answers

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

mo
1.

[tex] \frac{5}{10} \div \frac{3}{2} [/tex]

Answers

Take the reciprocal of the second term and multiply. This leaves you with 5/10•2/3.
5/10 can be simplified into 1/2, leaving you with 1/2•2/3 multiply the numerators and denominators separately, and get 2/6, which simplified to 1/3.
1/3 is the quotient.

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

HELP ASAP!!!!


A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm

Answers

Answer:

A, C, E, G

Step-by-step explanation:

A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?

Answers

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

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