what is the sum of 4x+11y,-15y​

Using linear functions, it is found that:

a)

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

b) They will have the same height after 4 weeks.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

Item a:

Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:

[tex]y_A(x) = 8 + x[/tex]

Plant B has  a height of 4 centimeters and grows 2 centimeters each week, hence:

[tex]y_B(x) = 4 + 2x[/tex]

The system is:

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

Item b:

Equaling the equations:

[tex]y_A(x) = y_B(x)[/tex]

[tex]8 + x = 4 + 2x[/tex]

[tex]x = 4[/tex]

They will have the same height after 4 weeks.

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Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]

[tex]C^{2}[/tex] = 49 + 144

[tex]C^{2}[/tex] = 193

C = [tex]\sqrt{193}[/tex]

C = 13.89 feet

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

Hence, the length of the rope is 13.89ft.

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Answer:

there.......... ....... ...a

Answer:

i think 8

Step-by-step explanation:

Answer:

he spent 75%

Step-by-step explanation:

to get the percent you would divide 3750 by 5000 and then convert the decimal in to a percent.

Answer:

Diagram B

Step-by-step explanation:

Most of the points don't line up with the line itself.

Answer:

6.6

Step-by-step explanation:

brainliest

its me from the last question

36

Step-by-step explanation:

We know that

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

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

y = x - 4

y = 3 - 4

y = -1

Answer:

500 is ya best bet

Step-by-step explanation:

Hi,

Using multiplication, 18x31=600.

Hope it helps you

Answer:

x = -1

Step-by-step explanation:

When given the following equation:

3(-4) = 12x

Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.

-12 = 12x

Inverse operations, divide both sides by (12) to undo the operation on the left side,

-1 = x

Answer:

as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u

Step-by-step explanation:

the answer -1=x

Answer:

-25

Step-by-step explanation:

-30+5 = -25

Answer:

LCM x HCF = Product of the two numbers.

Step-by-step explanation:

HCF = 5

LCM = 60

Therefore, 5 x 60 = 15x the other number.

300 = 15x the other number

the other number = 300/15

The other number = 20

Please do mark as brainliest. Hope this helps! :)

Answer:

35000 would be your answer

Step-by-step explanation:

Answer:

75 mi

Step-by-step explanation:

c squared = a squared + b squared

c squared = 72 squared + 21 squared

c squared = 5184+441

c squared = 5625

c = root 5625

c = 75 mi

Answer:

x:y = 4:1

Step-by-step explanation:

Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.

So, x + 20/(y + 20) = 5/2   (1)

When they both decrease by £5, their ratio is 5:1.

So, x - 5/(y - 5) = 5/1    (2)

Simplifying (1) and (2), we have

x + 20/(y + 20) = 5/2  (1)

cross-multiplying, we have

2(x + 20) = 5(y + 20)

expanding the brackets, we have

2x + 40 = 5y + 100

2x - 5y = 100 - 40

2x - 5y = 60     (3)

So,

x -5/(y - 5) = 5/1  (2)

cross-multiplying, we have

(x - 5) = 5(y - 5)

expanding the brackets, we have

x - 5 = 5y - 25

x =  5y - 25 + 5

x = 5y - 20   (4)

Substituting (4 into (3), we have

2x - 5y = 60     (3)

2(5y - 20) - 5y = 60

10y - 40 - 5y = 60

10y - 5y = 60 + 40

5y = 100

y = 100/5 = 20

substituting y = 20 into (4), we have

x = 5y - 20   (4)

x = 5(20) - 20  

x = 100 - 20

x = 80

So, x/y = 80/20 = 4

x/y = 4/1

x:y = 4:1

Answer:

They can, the lines just need to be sloped

Answer:

2 * 8 for the first section, and then the last one is 16.

Step-by-step explanation:

area for a parallelogram is base times height.

8 yd is the height, 2 yd is the base. so 2 would be that first blank.

second blank is 16, simply cause 2 * 8 = 16.

Answer:

None

Step-by-step explanation:

The solution would be wherever the lines intersect, since they don't, there is no answer.

Answer:

D

Step-by-step explanation:

Edge

The summation of the given geometric series is 70.5.

Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.

[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex]     (when r>1)

or

[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex]          (when r<1)

where,

r is the common ratio

a is the first term of first term of the series.

n is the total number of terms.

According to the given question

we have

geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]

total number of terms, n=5

first term a =[tex]\frac{1}{2}[/tex]

[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]

therefore,

summation of the given geometric series calculated as

[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]

[tex]s_{n} =\frac{1023}{6}[/tex]

[tex]s_{n} = 170.5[/tex]

Hence, the summation of the geometric series is 170.5.

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Answer:

π x³ /12 cubic units.

hope this helps you and have a nice day

Answer:

A) 2144.66 in³

Step-by-step explanation:

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closet to the volume of water in the fishbowl in cubic inches?

Volume of a sphere = 4/3πr³

Diameter = 16 in

Radius = Diameter/2 = 16 in/2 = 8 in

Volume of a Sphere = 4/3 × π × 8³

= 2144.66 cubic Inches

Option A.is correct

Answer:

128/15 min or 8.5 min

Step-by-step explanation:

By using unitary method,

Time required to paint 5/8 of wall = 16 min.

Time required to paint 1/1 of wall = 16*8/5

Hence, Time required to paint 1/3 of wall = 16*8/5*1/3

Answer:

Um?

Step-by-step explanation:

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

Answer:

Step-by-step explanation:

it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1