I need help with this one

The discount is $43.50, making the price of the discounted TV $246.50.

15% = .15

.15 x 290 = 43.5

$290 - $43.50 = $246.50

Value of h(1.5) is 33

Step-by-step explanation:

⇒ h(1.5) = 22 × 1.5 = 33

Final answer:

To find h(2) when x = 1.5, you first determine the constant of variation (k) using the given information h(x) = 44 when x = 2. This leads to k = 22. Plugging x = 1.5 into the direct variation equation h(x) = k*x, we get h(1.5) = (option D) 33.

Explanation:

If h(x) varies directly with x, then we can express this relationship as h(x) = k*x, where k is the constant of variation. We're given that h(2) = 44, so we can solve for k by plugging in the values:

44 = k*2 => k = 22.

Now that we have the value of k, we can find h(1.5) by multiplying k by 1.5:

h(1.5) = 22 * 1.5 = 33.

Therefore, the value of h(2) when x = 1.5 is (option D) 33.

The complex number from the table are

[tex]1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}[/tex]

Solution:

Let us solve and identify the complex number.

(A) [tex]5-\sqrt{\frac{9}{4}}[/tex]

[tex]5-\sqrt{\frac{9}{4}}= 5-\sqrt{\frac{3^2}{2^2}}[/tex]

            [tex]= 5-\frac{3}{2}[/tex]

           = 3.5

This is not a complex number.

(B) [tex]1+\sqrt{-3}[/tex]

[tex]1+\sqrt{-3}=1+\sqrt{-1\times 3}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].

[tex]1+\sqrt{-3}=1+\sqrt{3}i[/tex]

This is a complex number.

(C) [tex]4-3 \sqrt{-16}[/tex]

[tex]4-3 \sqrt{-16}=4-3 \sqrt{-1\times 4^2}[/tex]

[tex]4-3 \sqrt{-16}=4-3\times4 \sqrt{-1}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].

[tex]4-3 \sqrt{-16}=4-12i[/tex]

This is a complex number.

(D) [tex]\frac{2-\sqrt{12}}{5}[/tex]

[tex]\frac{2-\sqrt{12}}{5}=\frac{2-2\sqrt{3}}{5}[/tex]

There is no –1 in the root.

This is not a complex number.

(E) [tex]\frac{3+2 \sqrt{-9}}{7}[/tex]

[tex]\frac{3+2 \sqrt{-9}}{7}=\frac{3+2 \sqrt{-1\times 3^2}}{7}[/tex]    

We know that [tex]\sqrt{-1} =i[/tex].  

             [tex]=\frac{3+6i}{7}[/tex]

This is a complex number.

(F) [tex]9 \sqrt{-\frac{7}{5}}[/tex]

[tex]9 \sqrt{-\frac{7}{5}}=9 \sqrt{-1 \times \frac{7}{5}}[/tex]

We know that [tex]\sqrt{-1} =i[/tex].  

[tex]9 \sqrt{-\frac{7}{5}}=9 \sqrt{ \frac{7}{5}}i[/tex]

This is a complex number.

Hence the complex number from the table are

[tex]1+\sqrt{-3}, \ 4-3 \sqrt{-16}, \ \frac{3+2 \sqrt{-9}}{7}, \ 9 \sqrt{-\frac{7}{5}}[/tex]

Answer:

2/3 ≥ 3/6

Step-by-step explanation:

Cross Multiply  

f/g=h/i

f×i=g×h

2×6> 3×3

12> 9

Observe that [tex]16r^4[/tex] is the square of [tex]4r^2[/tex], and 625 is the square of 25.

So, your expression is a difference of squares, and as such we can rewrite it as

[tex]16r^4-625=(4r^2+25)(4r^2-25)[/tex]

Now again, [tex]4r^2[/tex] is the square of [tex]2r[/tex], and 25 is the square of 5. So, we have a sum and a difference of squares.

But if we think of 25 as [tex]-(5i)^2[/tex], we have again the difference of two squares, so we have

[tex]4r^2+25=(2r+5i)(2r-5i)[/tex]

[tex]4r^2-25=(2r+5)(2r-5)[/tex]

Option A is the correct expression equivalent to 16r⁴-625.

The options in the question must have r in place of x.

The imaginary number 'i' is the solution of the algebraic equation x²+1.

Thus, x²+1=(x+i)(x-i).

We can observe that (a+bi)(a-bi)=(a²+b²)+i(-ab+ba)=a²+b².

Hence the factorization of a²+b² is (a+bi)(a-bi)

16r⁴-625

=(4r²-25)(4r²+25)

=(2r-5)(2r+5)(2r+5i)(2r-5i)

So, option A is the correct expression equivalent to 16r⁴-625.

To learn more about factorization visit- https://brainly.com/question/20293447?referrer=searchResults

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Answer:

[tex]-\frac{41}{4}[/tex]

Step-by-step explanation:

-4(8+y)=9

Distribute:

-32-4y=9

Add 32 on both sides:

-4y=41

Divide -4 with 41:

y=-41/4

Answer:

[tex]y = - \frac{41}{4} = - 10 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]-4(8+y)=9 \\ - 32 - 4y = 9 \\ - 4y = 9 + 32 \\ - 4y = 41 \\ \\ y = - \frac{41}{4} = - 10 \frac{1}{4} [/tex]

Answer:

7x=3x+24

4x=24

x=6

Answer:

[tex]x=6\\[/tex]

Step-by-step explanation:

[tex]7x=3x+24[/tex]

[tex]7x-3x=3x-3x+24[/tex]

[tex]4x=24[/tex]

[tex]\frac{4x}{4} =\frac{24}{4}[/tex]

[tex]x=6[/tex]

Answer:

29?

Step-by-step explanation:

Answer:it might be 29

Step-by-step explanation:

Answer:

C - 2/5

Step-by-step explanation:

Using the formula for slope

m = (y_2 - y_1) / (x_2 - x_1)

Given two points

( 4 , 5) (-1 , 3)

x_1 = 4

y_1 = 5

x_2 = -1

y_2 = 3

Insert the values into the equation

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 3 - 5) / ( -1 - 4)

= -2 / -5

- $ - cancels out

m = 2/5

Slope = m = 2/5

Answer:

Is this a book ????

Step-by-step explanation:

but roman

The winner of a match between Roman Reigns and Goldberg at WrestleMania is predetermined by WWE's creative team based on storytelling needs and is not an actual competitive event.

The outcome of a wrestling match between Roman Reigns and Goldberg at WrestleMania would depend on the storytelling and booking decisions made by the WWE's creative team.

Wrestling matches are choreographed and the winners are predetermined for entertainment purposes. Thus, it's not possible to predict who would win in a real competition since the outcomes are planned.

However, looking at both wrestlers' track records and their standing with the WWE at the time of your question could give us an idea of who the company might favor to write as the victor.

Answer:

Step-by-step explanation:

x - 10 = 0

x = 10

f(10) = 2*10² + 5 = 2*100 + 5 = 200 + 5

      = 205

Remainder = 205

Answer:

195 is the right answer

Step-by-step explanation:

195

Answer:

Cos 2x = Cos (5x-3x)

Cos(5x)Cos(3x) + Sin(5x)Sin(3x)

Cos 8x = Cos (5x + 3x)

Cos(5x)Cos(3x) - Sin(5x)Sin(3x)

Cos 2x - Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) -

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Sin(5x)Sin(3x)

Cos 2x + Cos 8x

= Cos(5x)Cos(3x) + Sin(5x)Sin(3x) +

[Cos(5x)Cos(3x) - Sin(5x)Sin(3x)]

= 2Cos(5x)Cos(3x)

= 2Sin(5x)Sin(3x) ÷ 2Cos(5x)Cos(3x)

2 gets cancelled out

Sin(5x)/Cos(5x) is Tan(5x)

Sin(3x)/Cos(3x) is Tan(3x)

Hence the fraction is identical to

Tan(5x)Tan(3x)

Answer:

y = -2x - 2

Plug the x- and y-values into the appropriate spaces in the slope-intercept form and see which value for b would make the equation true:

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

I don't know if this makes sense, I'm sorry if it doesn't but the answer is correct because it goes through the point (-3,4)

The answer is y = -2x - 2

You have to first plug the x- and y-values into the correct spots in the slope-intercept form and see which value for b would make the equation true.

4 = -2(-3) +/- ?

4 = 6 - 2

4 = 4

Hope to help.

Answer: c

Step-by-step explanation:

Answer:

C y = −4.6 and y = 4.6

Step-by-step explanation:

Edge 2023

Answer: The slope of BC is -2.

Step-by-step explanation:

We know that a rectangle has all opposite sides equal and parallel.

Each interior angle is a right angle.

Therefore , if rectangle ABCD is a rectangle then , AB should perpendicular to  BC.   [ ∵ Angle between AB and BC is 90° .]   (1)

Also , slope of line passing through (a,b) and (c,d) :  [tex]\dfrac{d-b}{c-a}[/tex]

If A is located at (3, 4) and B is located at (7,6) .

Then , The slope of AB = [tex]\dfrac{6-4}{7-3}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Also, the product of slopes of two perpendicular lines is -1.

Then , (Slope of AB) x  (Slope of BC) = -1     [From (1)]

[tex]\Rightarrow\ \dfrac{1}{2}\times (\text{Slope of BC})= -1\\\\\Rightarrow\ \text{Slope of BC}=-2[/tex]

Hence, the slope of BC is -2.

We see here that $1 will buy 5 ounces of ground turkey.

To find out how much $1 will buy, we can set up a proportion using the given information.

We know that $8 buys 40 ounces of ground turkey. Let's set up the proportion:

$8/40 ounces = $1/x ounces

To solve the proportion, we can cross-multiply:

$8 × x ounces = 40 ounces * $1

Simplifying further:

$8x = $40

To isolate x (the number of ounces that $1 will buy), we can divide both sides of the equation by $8:

x = $40 / $8

x = 5 ounces

Therefore, $1 will buy 5 ounces of ground turkey.

Alternatively, we can set up a ratio using the given information:

$8 for 40 ounces

To find out how much $1 will buy, we can find the unit price:

Unit price = Total cost / Total quantity

Unit price = $8 / 40 ounce

Unit price = $0.20 per ounce

Since $1 is equal to 100 cents, we can divide $1 by the unit price:

$1 / $0.20 per ounce = 5 ounces

Therefore, $1 will buy 5 ounces of ground turkey.

Complete question:

$8 buys 40 ounces of ground turkey, how much will $1 buy?

Answer:

It has no solution

Step-by-step explanation:

3x - 2y = 3

6x  - 4y = 1

To fond the number of solutions, we will first of all solve this system of equation.

We can solve this system of equation by either substitution method or elimination method  or both method

We will be using both method to solve this system of equation.

3x - 2y = 3 ------------------------------------(1)

6x  - 4y = 1 ------------------------------------(2)

we will first eliminate y, to do that, lets multiply equation (1) by 4 and then multiply equation(2) by 2

12x - 8y  = 12 ----------------------------------(3)

12x -  8y = 2 ------------------------------------(4)

Subtract equation (4) from equation (3)

0 = 10

But 0≠  10

This system of equation has no solution

Answer:

No solution.

Step-by-step explanation:

3x-2y=3

6x-4y=1, or 2(3x-2y)=1, 2×3=1, 6=1

Since 6 cannot be equal to 1, this system of equations has no solution

Answer: A roll of plain wrapping paper costs $17, while a roll of holiday wrapping paper costs $20.

Step-by-step explanation: First let us represent a roll of plain wrapping paper with letter p and a roll of holiday wrapping paper would be represented by d. If Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $185, then we can express this as

5p+ 5d= 185

Also if Sarawong sold 14 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $338, then this too can be expressed as

14p + 5d = 338

Now we have a pair of simultaneous equations which are,

5p + 5d = 185 ———(1)

14p + 5d = 338 ———(2)

Since all the variables have coefficients greater than 1, we shall use the elimination method. Note that the coefficients of the d variable are both 5, so straight away we subtract equation (1) from equation (2) and we now have;

(14p - 5p) + (5d - 5d) = 338 - 185

9p = 153

Divide both sides of the equation by 9

p = 17

Having calculated p, we can now substitute for the value of p into equation (1)

5p + 5d = 185

5(17) + 5d = 185

85 + 5d = 185

Subtract 85 from both sides of the equation

5d = 100

Divide both sides of the equation by 5

d = 20

Hence, the cost per roll of plain wrapping paper is $17, while the cost per roll of holiday wrapping paper is $20.

Answer:

240 minutes or 4 hours

Step-by-step explanation:

Step 1:  Multiply

8 * 30

240 min

If you want hours:

240 / 60

4 hours

Answer:  240 minutes or 4 hours

The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

[tex]√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )[/tex]Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

[tex]√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)[/tex]

To find the square root of a non-perfect square, use estimation techniques or the quadratic formula if in relation to an equation. Use the imaginary unit i for square roots of negative numbers, and simplify by removing perfect squares when adding or subtracting radicals.

Finding the square root of a number that is not a perfect square can be done using a few different methods. One simple non-calculator method is to use estimation and refinement; start with an approximate guess and improve it. When dealing with negative numbers, remember that we use the imaginary unit i to denote the square roots of negative numbers. For example, a₂ can be written as 2i. Adding and subtracting radicals involves simplifying each radical by removing perfect squares and combining like terms.

For equations where the square root is part of a quadratic equation, ax²+bx+c = 0, if a, b, and c are non-zero, we should use the quadratic formula to find solutions. Estimation also applies when dealing with cube roots or higher, where we can start with an initial guess and use methods like calculus to refine it.

To estimate a surd like a₃ without a calculator, consider its place on the number line between two integers, knowing that a₃ is about 1.732. This helps get an approximate value which is often sufficient for many applications.

Answer:

The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

Step-by-step explanation:

Let

x -----> the cost of a journal

Verify each case

case 1) The cost of 7 journals is $5 greater than the cost of 4 journals

In this case the equation would be

[tex]7x=4x+5[/tex]

case 2) The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

so

[tex]7x<4x+5[/tex]

solve for x

subtract 4x both sides

[tex]3x<5[/tex]

divide by 3 both sides

[tex]x<\$1.67[/tex]

so

The cost of one journal must be less than $1.67

case 3) The cost of 7 journals is less than the cost of 4 journals with a $5 off coupon.

so

The inequality would be

[tex]7x<4x-5[/tex]

case 4) The cost of 7 journals is greater than the cost of 4 journals plus a $5 novel.

so

The inequality would be

[tex]7x>4x-5[/tex]

Answer:

13.8

Step-by-step explanation:

First, lets convert to fraction

20.7 = 207/ 10

1.5 = 15/10

therefore,

20.7 / 1.5 becomes;

(207/10) / (15/10)

this becomes;

(207/10) * (10/15)

10 cancels out

= 207/15

Divide both numerator and denominator by 3

=69/5

=13.8

Answer:

3^4 and 81^1

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

Step 1:  Make an equation to represent the words

In an equation what number do you subtract from 59 to get 31?

59 - x = 31

Step 2:  Solve for x

59 - x - 59 = 31 - 59

-x / -1 = -28 / -1

x = 28

Answer:  x = 28

Answer:

3.04

Step-by-step explanation:

Answer:

5 in

Step-by-step explanation:

I don't actually the ans

Answer:

C.  12x³ + 6x²

Step-by-step explanation:

I'm an FLVS kid and got the question right, so I wanted to explain my answer:

You just have to use the distributive property for this one. Multiply 2x² by each term in the brackets.

2x²(6x + 3) ← original question for ref.

2x²(6x) = 12x³

2x²(3) = 6x²

So the new terms are 12x³ +  6x²

The answer is C.