Use long division to find the quotient below.
(x2 + 3x - 18) + (x-3)
O A. X+6
O B. x-6
O C. X-15
O D. x+15

Answer:

[tex]Log_41024=5[/tex]

Step-by-step explanation:

The change of form formula (exponential to logarithm) is:

[tex]a^x=b\\Log_ab=x[/tex]

Looking at the problem given, we can simply write the logarithmic form as:

[tex]4^5=1024\\Log_41024=5[/tex]

This is the answer.

Answer:

3, 50%

Step-by-step explanation:

The interquartile range is the top of the box minus the bottom of the box.  

5-2 = 3

Each part is 25 %

From the bottom of the whisker to the bottom of the box is 25%

From the bottom of the box of the middle of the box( median) is 25%

From the median to the top of the box is 25%

From the top  of the box of the last of the whisker of the box( is 25%

Adding from the bottom of the box to the top of the box  

25% + 25% = 50%

Answer:

C

Step-by-step explanation:

looking at the graph, we see a parabola shifted up 6 units. the function is f(x) = x² + 6

we also see a line with a reflection on the y axis and a vertical shift up 6 units. the function is f(x) = -x + 6

x² + 6 is graphed like a normal parabola (u shaped graph) with an open circle on (3,15). the x coordinate is whats important here, which is 3. we see that there are no values to the right of 3, and only to the left of 3. we can say that the statement x < 3 is true of the parabola, as any value less than 3 is a solution to the parabola.

for -x + 6, we see a line graphed with an closed circle on approximately (3,3). again, the x-coordinate is important here which is 3. the line only goes to the right of 3, meaning the inequality x ≥ 3 is true of the line as any value greater than or equal to 3 is a solution

looking at our answer choices we need to find the following answer:

x² + 6 x < 3 and -x + 6 x ≥ 3

this answer would be C

Answer:

C

Step-by-step explanation:

Copied what the person aboved one said

Answer:

$199.99 multiply by .20 = 39.998

$199.99 minus $39.99 or $40

the sale price of the four wheeler is $159.99

Step-by-step explanation:

Answer: C. 4.5

Step-by-step explanation: All you need to do is divide 18 by 4 to find the cost of bowling one game.

18/4 = 4.5

The constant of proportionality between the money spent and the number of games played is C. 4.5.

11 cm. Simply divide 440 by 40, and you'll get your answer.

Answer:

1 centimeter = 40 kilometers

? centimeter = 440 kilometers

The simple way to do this is to set it as a ratio as shown above. From 40 to 440, there is a increase in 11 times. (40 x 11 = 440)

So, you would do 1 x 11 = 11. This means 11 centimeters is equal to 440 kilometers.

11 centimeter = 440 kilometers

The inequality that will help you find how many hours Rita must work would be: 0.05x 10 x h is greater than or equal to 25

hope this helped you

For this case we have the following rule of three:

10 $ ----------> 100%

x --------------> 5%

Where "x" is the variable that represents 5% of $ 10.

[tex]x = \frac {5 * 10} {100}\\x = 0.5[/tex]

Then Rita saves 0.5 $ per hour.

She wants to save at least $ 25. Then, we propose the following inequality:

[tex]0.5h\geq 25[/tex]

ANswer:

[tex]0.5h\geq 25[/tex]

Answer:

The equation of the parabola is (y + 3)² = -6(x - 7/2)

Step-by-step explanation:

* Lets revise the equation of a parabola

- If the equation is in the form (y − k)² = 4p(x − h), then:

• Use the given equation to identify h and k for the vertex, (h , k)

• Use the value of k to determine the axis of symmetry, y = k

• Use h , k and p to find the coordinates of the focus, (h + p , k)

• Use h and p to find the equation of the directrix, x = h − p

* Now lets solve the problem

∵ The directrix ⇒ x = 5

∴ The form is (y − k)² = 4p(x − h)

∵ The directrix is x = h - p

∴ h - p = 5 ⇒ (1)

∵ The focus is (h + p , k)

∵ The focus is (2 , -3)

∴ k = -3

∴ h + p = 2 ⇒ (2)

- Add (1) and (2) to find h

∴ 2h = 7 ⇒ ÷ 2 for both sides

∴ h = 7/2

- Substitute this value in (1) or (2) to find p

∴ 7/2 + p = 2 ⇒ subtract 7/2 from both sides

∴ p = -3/2

* Now we can write the equation

∴ (y - -3)² = 4(-3/2) (x - 7/2)

∴ (y + 3)² = -6(x - 7/2) ⇒ in standard form

* The equation of the parabola is (y + 3)² = -6(x - 7/2)

Answer:

Step-by-step explanation:

Answer:

1. 14/15

2. 5 7/8

3. 81.25%

Step-by-step explanation:

1. (fraction) 7/9 divided by 5/6 (fraction)

7/9 ÷ 5/6 =

= 7/9 * 6/5

= (7 * 6)/(9 * 5)

= 42/45

= 14/15

2.

1 3/8 + 4 1/2 =

= 1 + 3/8 + 4 + 1/2

= 1 + 4 + 3/8 + 4/8

= 5 + 7/8

= 5 7/8

3.

percent = part divide by whole times 100

13/16 * 100 =

= 81.25%

Answer/Step-by-step explanation:

1. 14/15

7/9 divided by 5/6

7/9 X 6/5: multiply by the reciprocal

7/3 X 2/5: reduce the numbers

7/3 X 2/5=14/15

2. 1 3/8 + 4 1/2

1+4: add all whole numbers first

3/8 +1/2 : then add the fractions

5 7/8: is your final answer in its simplest form

3. Convert fraction 13 / 16 to a Answer: 81.25%

Answer:x

Step-by-step explanation:

solve for the x value in the first equation one and plug it into the second equation in order to find the value of the y

3x -6y = 27

3x+4y=17

solution

3x-6y =27 solve for x

3x-6y + 6y = 27 +6y

3x=27 +6y

usually you would simplify to solve for x

but in this case I would leave it as 3x because the second equation requires the value of 3x

so substituting the 27 +6y for 3x

you end up with the equation of 27+6y + 4y = 17 (combine the like terms)

27+10y = 17  

subtract the 27 form both sides 10y = 17-27 which simplifies to 10y = 10

divide both sides by 10 and you get y = -1

you then take the value of y which is -1  : y = -1        

3x-6y = 27

3x - 6(-1) = 27  :substitute -1 into the top equation

3x +6 = 27 :  multiply the -6(-1)

3x=27-6 :subtract both sides by -6

3x = 21 divide both sides by 3

x = 7

Answer:

a(n) = a(1)*(1/4)^(n - 1)

Step-by-step explanation:

The first four terms of this sequence are 64, 16, 4, 1.

Let the common ratio be r.  Then 64r = 16, and r = 1/4.

The first term is  64.

The general term is then

a(n) = a(1)*(1/4)^(n - 1)

Answer:

Mean

Step-by-step explanation:

Means tell the average of something

Answer:in order to get a more accurate result, the teacher would not add in the score

Step-by-step explanation:

im pretty sure the correct answer is D

For this case we propose a rule of three, and thus find the grams of medication.

150lb -----------> 24g

120lb -----------> x

Where the variable "x" represents the grams of medicine that a 120-pound woman should receive

[tex]x = \frac {120 * 24} {150}\\x = 19.2[/tex]

Thus, a woman of 120 pounds should receive 19.2 grams of medication.

Answer:

19.2 grams

Answer:

slightly more than 15

Step-by-step explanation:

5[tex]\pi[/tex] ≈ 5(3.14) ≈ 15.7 (slightly more than 15)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

4x - 3)(3x^2 - 1).

Step-by-step explanation:

To factorize the expression 12x^3 - 9x^2 - 4x + 3, we can start by grouping the terms:

(12x^3 - 9x^2) - (4x - 3)

Now, we can factor out common terms from each group:

3x^2(4x - 3) - 1(4x - 3)

Notice that the expression (4x - 3) is common to both terms. We can now factor it out:

(4x - 3)(3x^2 - 1)

Therefore, the factored form of 12x^3 - 9x^2 - 4x + 3 is (4x - 3)(3x^2 - 1).

Answer:

4x^3 -x^2 -6x +10

Step-by-step explanation:

You can perform the division of (4x^4 +11x^3 -9x^2 -8x +30)/(x +3) by polynomial long division or by synthetic division. The latter is shown below.

The result of the division is ...

4x^3 -x^2 -6x +10

Answer:

Answer: Two students are the same age but have different heights.

Step-by-step explanation:

You would have to combine terms that are the same

6x + 2x = 8x

9-1 = 8

8x + 8 =24

This is simplified enough so your answer is 8x + 8 = 24

Thanks

Answer:

7,200

Step-by-step explanation:

One sheet: 12 rows

1 row: 6 coupons

6 x 12 = 72

To find out how many coupons are in 1 sheet, multiply 6 by 12

So, in one sheet there are 72 coupons

1 sheet = 72 coupons

100 sheets = ? coupons

To find out how many are in 100 sheets, multiply 72 by 100

72 x 100 = 7,200

Therefore, there are 7,200 coupons in 100 sheets

I hope this helps! :)

Answer:

[tex](\frac{y^{4}}{10})^{3}[/tex]

Step-by-step explanation:

we have

[tex]0.001y^{12}[/tex]

we know that

[tex]0.001=\frac{1}{1,000}=\frac{1}{10^{3}}=(\frac{1}{10})^{3}[/tex]

[tex]y^{12}=(y^{4})^{3}[/tex]

substitute

[tex]0.001y^{12}=(\frac{1}{10})^{3}(y^{4})^{3}=(\frac{y^{4}}{10})^{3}[/tex]

The expression 0.001y12 can be written as the cube of a monomial by taking the cube root of each term. The final expression is (0.1y4)^3.

The given expression is 0.001y12. This can be written as the cube of a monomial in the form (_)^3 by finding the cube root of each term. The cube root of 0.001 is 0.1 (as 0.1^3 = 0.001) and the cube root of y12 is y4 (as (y4)^3 = y12). Hence, the monomial that can be cubed to get 0.001y12 is 0.1y4, and the final expression is (0.1y4)^3.

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m=9-5 so answer is m=4

Answer:

[tex]m=4[/tex]

Step-by-step explanation:

We have been given an equation. We are asked to find the value of m for our given equation.

[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=3\times 10^m[/tex]

Let us solve left side of our given equation using exponent property for quotient [tex]\frac{a^b}{a^c}=a^{b-c}[/tex].

[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=\frac{6.22}{1.79}\times 10^{9-5}[/tex]

[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=3.18\times 10^{4}[/tex]

Therefore, the value of m would be 4 for our given equation.

Answer:

Vertex: (- 2, -1)

axis of symmetry: x= - 2

Step-by-step explanation:

f(x)=x^2+4x+3

f(x)=(x^2+4x+4)+3-4.......complete the square

f(x)=(x+2)^2-1...................write in vertex form

Answer:

see explanation

Step-by-step explanation:

Given a quadratic function in standard form ax² + bx + c : a ≠ 0

Then the axis of symmetry and the x- coordinate of the vertex, since the vertex lies on the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 4x + 3 ← is in standard form

with a = 1, b = 4, hence

x = - [tex]\frac{4}{2}[/tex] = - 2

Equation of axis of symmetry is x = - 2

Substitute x = - 2 into f(x) for corresponding y- coordinate of vertex

f(- 2) = (- 2)² + 4(- 2) + 3 = 4 - 8 + 3 = - 1

Hence vertex = (- 2, - 1)

The second is ones.

The third is tens.

I don’t know the first one 100% so I don’t want to guess and have you get it wrong!! But pls mark me love(:

1. Hundred thousands

2. Ones

3. Tens

Answer:

[tex](7x)^{\frac{2}{3}}[/tex]=[tex]\sqrt[3]{49x^{2} }[/tex]

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

[tex](7x)^{\frac{2}{3}}[/tex]

To express the above expression as a radical, we need to recall that;

[tex]a^{\frac{b}{n}}=\sqrt[n]{a^{b}}[/tex]

Therefore;

[tex](7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }[/tex]

Answer:

The product of two rational numbers is a rational number

Step-by-step explanation:

I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that

[tex]a=\dfrac{m}{n},\quad b=\dfrac{p}{q}[/tex]

If we multiply the fractions, we have

[tex]ab = \dfrac{mp}{nq}[/tex]

Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.

Answer:

the product of two rational numbers is a rational number!

Step-by-step explanation:

Answer:

Option A. [tex]30\ days[/tex]

Step-by-step explanation:

step 1

Find the area of the brownie pan

The area of the trapezoid is equal to

[tex]A=\frac{1}{2}(30+42)(25)=900\ cm^{2}[/tex]

step 2

To calculate the number of days, divide the total area of the brownie pan by 30 square centimeters of brownie

so

[tex]900/30=30\ days[/tex]

Answer: A: 30 days

Step-by-step explanation:

Answer:

approx. 251 in³

Step-by-step explanation:

The appropriate formula to use here is V = πr²h.  Substituting 2 in for r and 5 in for h, we get:

V = π(2 in)^2·(5 in), or

V = π(4 in²)(5 in) = 80π in³, or approx. 251 in³

Answer is provided in the image attached.

Answer:

The solution is [tex](3, -2)[/tex]

Step-by-step explanation:

We have the following system of equations

Equation 1) [tex]d + e = 1[/tex]

Equation 2) [tex]-d + e = -5[/tex]

To solve the system of equations add equation 1 with equation 2 and solve for variable e.

[tex]d + e = 1[/tex]

       +

[tex]-d + e = -5[/tex]

--------------------------

[tex]0d + 2e = -4[/tex]

[tex]e = -2[/tex]

Now substitute the value of e in equation 1 or equation 2 and solve for d.

[tex]d + (-2) = 1\\\\d = 3[/tex]

Therefore the solution of the system is the ordered pair

[tex](3, -2)[/tex]

Answer:

adult = £5

child = £2

Step-by-step explanation:

a = adult c = child

3a + 4c = 23

1a + 5c = 15

multiply second equation by 3 and rewrite

3a + 4c = 23

3a + 15c = 45

subtract

0 - 11c = - 22

-11c = -22

11c = 22

c = £2

subsitute into one of the equations and solve for a

1a + 5c = 15

a + 5(2) = 15

a + 10 = 15

a = £5

The question can be solved using systems of linear equations. The cost of an adult's ticket is £5, and the cost of a child's ticket is £2.

The problem given can be solved using systems of linear equations. We can denote the cost of an adult's ticket as 'a' and the cost of a child's ticket as 'c'. Then you set up two equations:

To solve the system, we can multiply the second equation by 3:

Now we subtract the first equation from this one:

If you divide by 11, you get c=2. Now, substitute c into the second initial equation: a + 5*2 =15, and you get that a=5. Therefore, the cost of an adult's ticket is £5 and the cost of a child's ticket is £2.

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Answer:

see explanation

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

d = 25 - 20 = 30 - 25 = 5 and a = 20, hence

[tex]a_{n}[/tex] = 20 + 5(n - 1) = 20 + 5n - 5 = 5n + 15 ← n th term formula