The question is in the picture.

Answer:

404 & 408

Step-by-step explanation:

Check the picture below.

[tex]\begin{cases} L^2+w^2=50^2\\ Lw = 1200\\[-0.5em] \hrulefill\\ L^2+w^2=2500\\ L=\sqrt{2500-w^2} \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{\sqrt{2500-w^2}~w=1200} \\\\\\ \stackrel{\textit{squaring both sides}}{w^2(2500-w^2) = 1200^2}\implies 2500w^2-w^4=1440000 \\\\\\ 0=w^4-2500w^2+1440000\implies 0=\stackrel{\textit{tis a quadratic}}{(w^2)^2-2500w^2+1440000}[/tex]

[tex]0=(w^2-900)(w^2-1600)\implies \begin{cases} 0=w^2-900\\ 900=w^2\\ \sqrt{900}=w\\ \boxed{30=w}\\[-0.5em] \hrulefill\\ 0=w^2-1600\\ 1600=w^2\\ \sqrt{1600}=w\\ \boxed{40=w} \end{cases} \\\\\\ \stackrel{\textit{we know that}}{L = \sqrt{2500 - w^2}}\implies \begin{cases} L=\sqrt{2500-30^2}\\ \boxed{L=40}\\[-0.5em] \hrulefill\\ L=\sqrt{2500-40^2}\\ \boxed{L = 30} \end{cases}[/tex]

The length of the given TV is 40 inches and width of the given TV is 30 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

The area of rectangular shape TV is 1,200 square inches.

The TV is 50".

Now, L²+W²=50² ----------(I)

L×W=1200 ----------(II)

L²+W²=2500

⇒ L²=2500-W²

⇒ L=√(2500-W²)

Substitute L=1200/W in L=√(2500-W²), we get

1200/W=√(2500-W²)

Squaring on both the sides we get

1440000/W² =2500-W²

⇒ 1440000=2500W²-[tex]W^4[/tex]

⇒ [tex]W^4[/tex]-2500W²+1440000=0

⇒ (W²)²-2500W²+1440000=0

⇒ (W²)²-900W²-1600W²+1440000=0

⇒ W²(W²-900)-1600(W²-1600)=0

⇒ (W²-1600)(W²-900)=0

⇒ W²-1600=0 and W²-900=0

⇒ W²=1600 and W²=900

⇒ W=±40 and W=±30

So, W=40, -40, 30, -30

Length =1200/W =40 or 30

Therefore, the length of the TV is 40 inches and width is 30 inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

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Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

Pascal's triangle up to the 7th row (starting with 0)

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

Then the 6th term in the expansion of (x + 5)⁷ is

7 • x¹ • 5⁶ = 109375x

Answer:

69

Step-by-step explanation:

8's     8's+5                 11's     11's+3

8         13                    11          14

16        21                   22         25

24       29                  33          36

32       37                  44          47

40       45                  55          58

48        53                  66         69

56        61                   

64        69

11+x=48

x=48-11

x= 37

[tex] 😘 \: 😉 \: 😈 \; 😫 \: 😤 \: 😡 \: 😘[/tex]

Answer:

B) 2x + 3 = 2x + 4 - 1

Step-by-step explanation:

A) 3x + 4 = 5x - 1

2x = 5

x = 2/5

B) 2x + 3 = 2x + 3

True

C) 5x = 10

x = 2

D) -3x + 1 = -3x - 5

False

Answer:

67.5 or 67 1/2

Step-by-step explanation:

15   ÷              2

         ___________            

                   9

The numbers in 15 divided by 2/9 are labeled below:

15 = whole number

2 = numerator

9 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

15 x 9 2  =     135

                       ____

                          2

Thus, the answer to 15 divided by 2/9 in fraction form is:

 135

_____

   2

To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

135 / 2 = 67.5

The answer is rounded to the nearest two decimal points if necessary.

135/2 is an improper fraction and should be written as 67.5 or 67 1/2.

Hope this helps, have a nice day/night! :D

Answer:

67.5

Step-by-step explanation:

15 = 135/9

135/9 x 9/2 = 15 x 4.5 = 67.5

            9/2 = 4.5

Brainliest?

Answer:

1/7

Step-by-step explanation:

4-3/7

1/7

Hope This Helps You.

Answer:

3 4/7

Step-by-step explanation:

Regroup 4 as 3 7/7.

Subtract 3 7/7 - 3/7 = 3 4/7

There's your answer!

please mark brainliest!

Answer:

14 Is a divident of 7 and 14

1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6

ok done. Thank to me :>

907 - 43 = 864 / 2 = 432: 907 - 432 = 475

The garden table costs $432.

The bench costs $475.

475 + 432 = 907

I hope this helps! :)

Answer:

the correct answer is 7/20

Answer:

-160/27

Step-by-step explanation:

[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]

[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]

[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]

[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]

THE RESULT IS 7/10

Answer:

The solution is:

Step-by-step explanation:

2/4÷5/7

= 2/4×7/5

= 1/2×7/5

= 7/10

2/4×7/5

= 1/2×7/5

= 7/10

Step-by-step explanation:

2²

= 2 × 2

= 4

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4²

= 4 × 4

= 16

▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎

Answer:f(x)=1.5-x + 8

Step-by-step explanation:

Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

Answer:

Skajekjejejwjejekwjkekekekejeje!!!

Step-by-step explanation:

Answer: lollllll , ?????

Step-by-step explanation:

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

A linear equation is in the form:

y = mx + b;

where m is the rate of change, b is the initial value of y and y, x are variables.

Let c represent the number of cars and v represent the number of vans.

Hence when it is filled to capacity:

c/60 + v/50 = 1

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

Find out more at: https://brainly.com/question/25718473

Answer:

3/4 bags of trail mix

Step-by-step explanation:

She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2

Answer:

5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

Answer:

AC ≈ 50.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )

x × tan29° = 28 ( divide both sides by tan29° )

x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )

Answer:

50.5

Step-by-step explanation:

In the right triangle, focus on angle A.  The side marked 28 is the opposite side, and the side marked  x  is the adjacent side.  The trigonometric ratio that uses those two side is the tangent ratio.

tangent = (opposite) / (adjacent)

[tex]\tan{29^\circ}=\frac{28}{x}[/tex]

Multiply both sides by  x.

[tex]x\cdot \tan{29^\circ}=28[/tex]

Divide by tan 29 degrees.

[tex]x=\frac{28}{\tan{29^\circ}}[/tex]

Use a calculator (in degree mode!) to approximate  x.

[tex]x \approx 50.5[/tex]

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

Answer:x[tex]\geq[/tex]1

Step-by-step explanation:

remove the brackets

7x+49≤56

collect like terms

7x≤56-49

7x[tex]\geq[/tex]7

divide both sides by 7

x[tex]\geq[/tex]1