Part A: Factor x2a2 + 3xa2 + 2a2. Show your work. (4 points)

Step-by-step explanation:

5x-30=3x

5x-3x=30

2x=30

Divide by 2 for 2x and 30

x=15

Check answer subsituition method:

5x-30=3x

5(15)-30=3(15)

75-30=45

45=45

Answer: x=15 ( choice 3)

Answer:

x = 2  is the axis of symmetry

Step-by-step explanation:

y - 4x = 7 – x2?

y =  -x²+4x +7

y = - ((x²- 4x+4)-4)+7

y = - (x-2)²+11 ..... is the the parabola's equation  when : x = 2  is the axis of symmetry

The axis of symmetry for the graph of y - 4x = 7 – x² is x= 2.

The axis of symmetry is a hypothetical straight line that divides a shape into two identical sections, resulting in one component being the mirror image of the other. When folded along the axis of the symmetry, the two portions get overlaid. The straight line is also known as the line of symmetry/mirror line.

The axis of symmetry is a straight line that makes an object's shape symmetrical. The axis of symmetry produces identical reflections on all four sides. It might be horizontal, vertical, or lateral in orientation.

We have the Equation:

y - 4x = 7 – x²

Now, arranging the equation as

y =  -x²+4x +7

y = - ((x²- 4x+4)-4)+7

Now, using the algebraic Identity

(a -b)² = a² - 2ab + b²

So, the equation can be written as

y = - (x-2)²+11

This is in the parabola's equation.

Thus, the axis of symmetry is x= 2.

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Answer:

The two consecutive integers are -119 and -120

Step-by-step explanation:

As we know that these two integers are consecutive, that means that they will have a difference of 1. This means that we can find the two integers by adding 1 to the sum of -239 and then dividing it by two

[tex]1-239=-238\\\frac{-238}{2} =-119\\-119-1=-120[/tex]

When needing to determine two consecutive integers with a given sum, they can be represented as 'x' and 'x+1'. The equation x + (x + 1) = -239 gives us the solution of the two integers as -120 and -119.

In the given question, since we are dealing with consecutive integers, we can represent the integers as 'x' and 'x+1'. As per the information in the question, we know that the sum of these two consecutive integers is -239. Therefore, we can create the equation:

x + (x + 1) = -239

Solving this equation gives us:

2x + 1 = -239

Therefore,

2x = -240

So, x = -120

This indicates that our first integer is -120. Because we are dealing with consecutive integers, the next integer would be -120 + 1 = -119. Thus, the two consecutive integers are -120 and -119.

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Answer:

Step-by-step explanation:

Box 1: contains 4 items, two of which are pens. the probability of choosing a pen is 2/4

Box 2: contains 7 crayons and 3 colored pencils for a total of 10. The probability of choosing 1 crayon out of that box is 7/10

Event Probability = 2/4 * 7/10 = 14/40   = 7 / 20

Answer:

D

Step-by-step explanation:

add -3m + 1m = -2m

add 5 -11= -6

combine like terms

Answer:

x(x)=1/4(30+60+x)

Step-by-step explanation:

minutes spent on math homework= x

minutes spent on history homework= 30 min

minutes spent on English homework= 60 min

Total minutes spent on homework = x+30 +60

Also

x= 1/4(x+30 +60)

x= x/4 + 90/4

x-x/4= 90/4

(4x-x)/4=90/4

3x=90

x=30

Hence time spent on maths=30 min

total time spent= 30+60+30

                          = 120 min

1/4 of 120 min= 30 mins!

Answer:

A. 1/4(x + 30 + 60) = x

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

B. y > 3x + 2

Hope it helps :)

Answer:

355/113

Step-by-step explanation:

But as you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...

Answer: A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...

Step-by-step explanation:  As you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. So, therefore, the ratio that is equal to pi is 355/113 = 3.1415929...

Answer:

x=0

Step-by-step explanation:

a vertical line is x= whatever the x-term is

Answer: D) Trapezoid

Step-by-step explanation:

D is the correct answer

Answer:D

Step-by-step explanation:

Answer:

i think its 4

Step-by-step explanation:

Answer:

2.45

Step-by-step explanation:

The expected value is the sum of the points times the probability.

The expected number of points from a touchdown is:

E = 7×0.35 + 0×0.65

E = 2.45

Answer: The answer is 9x-8y²+4y+34

Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32

1.  combine like terms so- combine 12x-3x= 89x

2. look for other like terms- 2+32= 34

3. since 8y^2 and 4y are not the same you can combine them

4. put them all together- 9x-8y^2+4y+3

That's you answer. Hope this helped

The answer is:

The second option: 2

[tex]\sqrt[4]{81}=3[/tex]

We can solve the problem and find the simplified expression using the following root property:

[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n} }[/tex]

We are given the expression:

[tex]\sqrt[4]{81}[/tex]

Which can be rewrite like this:

[tex]\sqrt[4]{81}=\sqrt[4]{3^{4}}[/tex]

Now, simplifying we have:

[tex]\sqrt[4]{3^{4}}=3^{\frac{4}{4} }=3[/tex]

Hence, the answer is the second option:

[tex]\sqrt[4]{81}=3[/tex]

Have a nice day!

Answer:

The correct answer is second option

3

Step-by-step explanation:

From the attached question we can see that,

⁴√81

To find the correct option

We know that 3⁴ = 81

⁴√81 can be written as,

⁴√81 = ⁴√(3 * 3 * 3 * 3)      

 = ⁴√(3)⁴

 = 3

Therefore the answer is 3

The correct option is  second option.  3

Step-by-step explanation:

First, reflect over line k:

(2, 5) → (-5, -2)

Then, reflect over the x-axis:

(-5, -2) → (-5, 2)

Answer:

Step-by-step explanation:

[tex]\text{The zeros is for}\ f(x)=0.\\\\f(x)=3x^3-3x^2-6x\\\\f(x)=0\iff3x^3-3x^2-6x=0\qquad\text{divide both sides by 3}\\\\x^3-x^2-2x=0\qquad\text{distributive}\\\\x(x^2-x-2)=0\\\\x(x^2+x-2x-2)=0\\\\x\bigg(x(x+1)-2(x+1)\bigg)=0\\\\x(x+1)(x-2)=0\\\\\text{The product is equal to 0, when one of the factors is equal to 0.}\\\text{Therefore:}[/tex]

[tex]x(x+1)(x-2)=0\iff x=0\ \vee\ x+1=0\ \vee\ x-2=0\\\\x=0\ \vee\ x=-1\ \vee\ x=2[/tex]

Answer:

b

Step-by-step explanation:

Answer:13.5 A

Step-by-step explanation:

edge

Answer:

the answer is the green bin

Step-by-step explanation:

12•5•4 is 240

10•6•5 is 300

so, the answer is the green bin

hope this helps!

have a blessed day!

please give brainliest!

Answer:

-3

Step-by-step explanation:

Expression: |-4| - |7|

1. Absolute value (positive distance from zero; found by removing negative sign unless positive): 4 - 7

2. Subtract: -3

The simplified expression is given by -3.

The absolute value of a number is the positive value of that number. The number, if it is negative, will become positive and a positive number will remain positive.

It is given that the expression is: |-4|-|+7|​

We can now simplify the expression.

The expression can be simplified as follows:

|-4|-|+7|​ = 4 - 7

= -3

The given expression was simplified.

The simplified value of the given expression |-4|-|+7|​ is found to be -3.

Therefore, we have found that the simplified expression is given by -3.

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Answer:

465.3 = 16.5x

Step-by-step explanation:

We can determine the miles per gallon  by taking the number of miles driven and dividing by the gallons

465.3 /16.5 =x

Rewriting by multiplying each side by 16.5

465.3 = 16.5x

Answer:

A

Step-by-step explanation:

i think the answer is 23.25 pounds

[tex]

x-4+5=2 \\

x+5=6 \\

\boxed{x=1}

[/tex]

Hope this helps.

r3t40

Answer:

1 minute and about 26 seconds

Can you mark me the brainliest??

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5

Answer:

6x+2y=12

and

3y=9x

Answer:

b. closed circles on 1 and 4 with arrows pointing outward

Step-by-step explanation:

Which of the following describes the graph of {x | x < = 1} u {x | x > = 4},

We have been given the following set;

x < = 1

This set comprises of real numbers that are less than or equal to 1;

(1, 0, -1, -2, -3, -4, .......... -∞)

On the other hand, the set x > = 4 comprises of real numbers that are greater than or equal to 4;

(4, 5, 6, 7, 8, 9, ........∞)

The symbol ∪ means a union of sets. That is the set of numbers that belong in either or both sets;

{x | x < = 1} u {x | x > = 4} is same as writing;

(1, 0, -1, -2, -3, -4, .......... -∞) ∪ (4, 5, 6, 7, 8, 9, ........∞)

Therefore, the solution set will be closed circles on 1 and 4 with arrows pointing outward

Answer:

Closed circles on 1 and 4 with arrows pointing outward ⇒ answer b

Step-by-step explanation:

* Lets study the meaning of the inequality

- If a < x < b, that means the value of x is between a and b

- If a ≤ x ≤ b, that means the value of x is from a to b

- If x < a and x > b, that means the value of x is smaller than a and

 grater than b

- If x ≤ a and x ≥ b, that means the value of x is smaller than or equal a and

 grater than or equal b

* Now lets solve the problem

∵ {x I x ≤ 1}

∴ x is smaller than or equal 1

∵ {x I x ≥ 4}

∴ x is greater than or equal 4

∵ {x I x ≤1} ∪ {x I x ≥ 4}

- The meaning of ∪ is all numbers smaller than or equal 1 and all

  the numbers greater than or equal 4

∴ {x I x ≤ 1} ∪ {x I x ≥ 4} = (-∞ , 1] ∪ [4 , ∞)

- This solution represented graphically by closed circles on 1 and

 4 with arrows pointing outward

For this case we must indicate an algebraic expression corresponding to the following:

"6 to the square root of 3"

Then, we must indicate an expression of the form:

[tex]a ^ n[/tex]

Where:

[tex]a = 6\\n = \sqrt {3}[/tex]

Thus, the expression is:

[tex]6 ^ {\sqrt {3}}[/tex]

ANswer:

[tex]6 ^ {\sqrt {3}}[/tex]

Answer:iuhihi

Step-by-step explanation:

nvjfuy

ANSWER

[tex]a_n=7n - 22[/tex]

EXPLANATION

The recursive rule for the sequence is

[tex]a_n=a_{n-1}+7[/tex]

In general the recursive rule is written as:

[tex]a_n=a_{n-1}+d[/tex]

This implies that, d=7

The first term of the sequence is

[tex]a_1= - 15[/tex]

The explicit rule is given by:

[tex]a_n=a_1 + d(n - 1)[/tex]

We substitute to get;

[tex]a_n= - 15 + 7(n - 1)[/tex]

[tex]a_n= - 15 + 7n - 7[/tex]

[tex]a_n=7n - 22[/tex]

1. 1/3 to get a red ball.

2. 4/13 to get a blue ball.

3. 3/7 to get a green ball.

Hope this helps!