Factor completely. Use integers or fractions for any numbers in the expression

Answer:

D. 2 ≤ x ≤ 5

The domain is the x values of the graph.

       Here, we have points with x values at 2 and 5. Since the function stays within these two points, our domain is;

D. 2 ≤ x ≤ 5

We always use the y values as the range of a function on a graph while x values gives us the Domain . So , by looking at the above graph we can say that , [tex]{\pmb{\bf x \in [2,5]}}[/tex] or can further written as [tex]{\bf 2\leq x\leq 5}[/tex] .

Henceforth , Option D) [tex]{\bf 2\leq x\leq 5}[/tex] is correct

Answer:

10.5%

Step-by-step explanation:

.105 x 200 = 21

Answer:

(5x^2-6)*(2x-7)

Step-by-step explanation:

1.(((10 • (x3)) -  (5•7x2)) -  12x) +  42

2.(((2•5x3) -  (5•7x2)) -  12x) +  42

3. 10x3-35x2-12x+42  is not a perfect cube

4.Factoring:  10x3-35x2-12x+42

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -12x+42

Group 2:  10x3-35x2

Pull out from each group separately :

Group 1:   (2x-7) • (-6)

Group 2:   (2x-7) • (5x2)

              -------------------

Add up the two groups :

              (2x-7)  •  (5x2-6)

5.  Factoring:  5x2-6

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

=  (5x2 - 6) • (2x - 7)

that should be the answer tell me if i got it wrong and ill try to fix it.

Answer:

go throw it get it try your best

Step-by-step explanation: you can do it

Answer:

The fraction can be written as 43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer: $27 for four large pizzas is cheaper than 32$ for five large pizzas

Step-by-step explanation:

Answer:

$32 for 5 pizzas

Step-by-step explanation:

Assuming you're trying to determine which option is the better deal, the first step would be to determine the price per pizza.

Option 1: $27 for 4 pizzas

$27 / 4 pizzas = $6.75 per pizza

Option 2: $32 for 5 pizzas

$32 / 5 pizzas = $6.40 per pizza

Option 2 is the better deal because each pizza costs less.

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

Answer:

0.6

Step-by-step explanation:

Factoring an expression involves rewriting the expression in simpler forms

The factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Factor out the common factors

[tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex]

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Rewrite as a difference of two squares

[tex](6a^2b^5)^2 - (9a^8b^{10})^2[/tex]

Express as difference of two squares

[tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Hence, the factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Read more about factorized expressions at:

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Answer:

y = 17

17 - 6 is 11, so 17 would be the only number convenient.

Answer:

y = 17!

Step-by-step explanation:

11 + 6 = y - 6 + 6

Answer:

1. 8.2

2. 6*8.2 = 49.2

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

Collection of two or more equations with a same set of unknowns is called system of equations.

Given equation

[tex]$$y=-2 x+2\ \ ...(1)\\\\y=x^{2}-3 x$$\ \ \ ...(2)[/tex]

From equation (1) and (2)

[tex]x^{2}-3 x=-2 x+2\\\\x^{2}-3 x+2 x-2=0\\\\x^{2}-x-2=0[/tex]

This is a quadratic equation

So discriminant

[tex]D=b^2-4ac[/tex]

[tex]D=(-1)^2-4(1)(-2)\\D=1+8\\D=9[/tex]

As D is >0 so we will get two values of x

and two values of y corresponding to values of x

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

To know more about quadratic equations visit: https://brainly.com/question/2263981

Answer: 5sqrt(35)

Step-by-step explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).

Answer:

23,21 pounds

Step-by-step explanation:

4387/189 = 23,21

Let other 2 angles be d

44 + 2d = 180°

(sum of triangle)

2d = 180 -44

2d = 136

d = 136/2

d = 68

x = 68 + 44 (exterior angle is equal to sum of interior opposite angles)

x = 112°

l

2. part

let the other angles be d

3d = 180° (sum of angles of triangle)

d = 60°

x = 60 + 60

x = 120°

Answer:

a and b

Step-by-step explanation:

for A just do 3*4

For B just find out what 36*4 is

Given that Janelle travels at 65 mph. the number of more hours it will

take her to reach her destination is approximately 5 hours.

Possible part of the question that appear missing are;

The distance Janelle drove in 4 hours = 260 miles

The distance from which she started = 575 miles

Required:

The number of extra hours it will take her to reach her destination

Solution:

The remaining distance = 575 miles - 260 miles = 315 miles

[tex]Speed = \mathbf{ \dfrac{Distance}{Time}}[/tex]

[tex]Janelle's \ average \ speed = \dfrac{260 \, miles }{4 \, hours} = \mathbf{ 65 \, mph}[/tex]

[tex]Time = \dfrac{Distance}{Speed}[/tex]

Which gives;

[tex]Time \ to \ reach \ her \ destination = \dfrac{315 \, miles}{65 \, mph} = 4\frac{11}{13} \, hours \approx \mathbf{ 5 \, hours}[/tex]

The time it takes Janelle to reach her destination ≈ 5 hours

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Answer:

the last option: 6x^3 -33x^2 +45x - 6

Step-by-step explanation:

Distribute parentheses

= 3x times 2x^2 + 3x (-7x) +3x times 1 -6 times 2x^2 -6 (-7x) -6 times 1

Simplify

3x times 2x^2 +3x (-7x) +3x times 1 -6 times 2x-2 -6 (-7x) -6 times 1

Answer:

6x^3 -33x^2 +45x - 6

Answer:

A. 500 m x 250 m

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

I took the test, heheh. sorry, I don't actually have an explanation.

Interest = principal x rate x time

Interest = 8000 x 0.03 x 6

Interest = $1,440

Answer: $1,440

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 3, -4 and -1

The expressions are given as:

x^2 + zx - 12

(x + q)(x + r)

Both expressions are equal.

So, we have:

[tex]x^2 + zx - 12 = (x + q)(x + r)[/tex]

Expand

[tex]x^2 + zx - 12 = x^2 + (q + r)x + rq[/tex]

By comparison, we have:

[tex]q + r = z[/tex]

[tex]rq = -12[/tex]

Assume that q = 3.

So, we have:

[tex]3r = -12[/tex]

Divide by 3

[tex]r = -4[/tex]

Recall that:

[tex]q + r = z[/tex]

So, we have:

[tex]z = 3 -4[/tex]

[tex]z = -1[/tex]

Hence, the possible integer values of q, r, and z are 3, -4 and -1

Read more about expressions at:

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Answer:

Step-by-step explanation:

Find the equation of AB using the coordinates of the endpoints:

Find the slope:

Use one of the points and point-slope equation to get the line:

Now find the y - coordinate of F when x is 5:

Part B can't be solved as the picture is unclear

Answer:

2 and 4

Step-by-step explanation:

1% of 72 is 0.72
0.72 * 40

is 28.8

10% of 72 is 7.2

7.2 * 4 is also 28.8

40% of 70 is 28.8

Answer: $12.27

Step-by-step explanation:

She spent a total of $15.56

Vegetables cost $12.27

Milk cost $3.29

Subtract the total bill by the amount of the milk and you have the total for the vegetables which is $12.27

Answer:

Its 38.4

Step-by-step explanation:

Answer:

It is either A or B           But I think/ Believe it is A

Step-by-step explanation:

Have a good day =)

Answer:

a - b

Step-by-step explanation:

Assuming you mean:  [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]

Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:

[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :

[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]

Answer:

1. 60

2. 70

3. 30

Step-by-step explanation:

Hope this helps!!!!

Step-by-step explanation:

1.m<2=60°

30°+90°

=120°

180°-120°

=60°

2.m<1=70°

20°+90°

=110°

180°-110°

=70°