Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

Given :

Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.

To Find :

By what percentage has his garden changed with these changes.

Solution :

Let, initial length and breadth is x and y.

So, initial area = xy .

Size after increasing them :

y' = y + 0.50y

y' = 1.5y

x' = x + 0.2x

x' = 1.2x

Final area = (1.5y)(1.2x) = 1.8xy

So, percentage increase is :

[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]

Therefore, percentage increase in are is 80%.

Hence, this is the required solution.

Answer:

6x-2

Step-by-step explanation:

the side lengths are x+2, x+2, 2x-3 and 2x-3

(the other two are the same as the ones shown because it's a rectangle)

when you combine like terms you get 2x+4 and 4x-6

combine like terms again and you get 6x-2

hope this helps :)

Answer:

4/15

Step-by-step explanation:

what's the answer? 4/5×1/3?

Answer:

A

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, thus

∠ S = ∠ Y = 108°

∠ T = ∠ Z = 9n - 4

Given ∠ R = 6n + 1

The sum of the 3 angles in Δ RST = 180°

Sum the 3 angles and equate to 180, that is

6n + 1 + 108 + 9n - 4 = 180 , simplify

15n + 105 = 180 ( subtract 105 from both sides )

15n = 75 ( divide both sides by 15 )

n = 5 → A

Answer:

17 meters

Step-by-step explanation:

I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.

Hope this helps :)

Answer:

The answer is 17 meter

Step-by-step explanation:

So the formula for this is a^2 + b^2 = c^

The two legs are a and b

So plug those into the equation

It should look something like this 7^2 + 16^2 = c^2

Then solve the exponents and you get 49 + 256 = c^2

After that just add the two integers and you have 305

Finally take the square root of 305 and you get 17

pls mark brainliest because i didnt waste your time Lol

Answer:

34 * 6 = 204

Thank you and please rate me as brainliest as it will help me to level up

Part (i)

Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,

(angleABC)+(angleCBX) = 180

angle CBX = 180-(angleABC)

angle CBX = 180-150

angle CBX = 30 degrees

Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.

The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.

In summary so far,

CX = 3

BX = 3*sqrt(3)

We have enough information to find the tangent of angle CAB, and then find the actual angle itself.

tan(angle CAB) = opposite/adjacent

tan(angle CAB) = (CX)/(AX)

tan(angle CAB) = 3/(4+3*sqrt(3))

angle CAB = arctan(  3/(4+3*sqrt(3))  )

I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.

========================================================

Part (ii)

Focus on triangle AXC. The legs we found were

AX = 4+3*sqrt(3)

CX = 3

Use the Pythagorean theorem to find the hypotenuse AC

a^2 + b^2 = c^2

(AX)^2 + (CX)^2 = (AC)^2

(AC)^2 = (AX)^2 + (CX)^2

(AC)^2 = (4+3*sqrt(3))^2 + (3)^2

(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9

(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9

(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9

(AC)^2 = 52+24*sqrt(3)

AC = sqrt( 52+24*sqrt(3) )

Note that AC is a length so AC is positive. We don't have to worry about the plus minus.

This is known as a nested radical since one square root is buried in another.

We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.

Using your calculator, you should find that,

[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]

Answer:

the answer is A). y=1/3×-52

Answer:

eu singer nuştiu

terog scuză

Answer: -9

Step-by-step explanation:

You count down the distance from T to K

Answer:

-9

Step-by-step explanation:

you are counting from t to k but its going to the left of the number line to its negative.

Answer: 33 votes

Step-by-step explanation:

First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:

= 60% × 220

= 0.6 × 220

= 132 students

Sonia has received 25% of the casted votes. The number of votes Sonia got will be:

= 25% × 132

= 0.25 × 132

= 33 votes

Layla has received 75%. Her votes will be:

= 75% × 132

= 0.75 × 132

= 99 votes.

50% of the total votes will be:

= 50% × 132

= 0.5 × 132

= 66 votes

The number of votes needed by Sonia to receive 50% of the total votes will be:

= 66 - 33

= 33 votes

Answer:

Percentage baked= 75%

Step-by-step explanation:

Giving the following information:

After 20 minutes in the oven, 15 of the 20 cookies were fully baked.

First, the fraction of cookies baked:

Fraction of cookies= 15/20= 3/4

Now, to calculate the percentage, we need to use the following formula:

Percentage baked= (15/20)*100

Percentage baked= 75%

Answer:

Step-by-step explanation:

Part 1:y=426x+4298

        y=223x+6129

Part 2: x=9.020 (x is the number of months and y is the miles)

Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile

Answer:

See answers in explanation below

Step-by-step explanation:

1.   4298 + 426t = 6129 + 223t

2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129

and find the answer at where these two lines intersect with each other, x=9.0197 (months)

3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)

Answer:

2350000000

Step-by-step explanation:

Answer:

p is 8

Step-by-step explanation:

4 - 20

then 2 divided by 16

then you get 8

Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.

Step-by-step explanation:

i think thats the answer

Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

Subtract to find the difference in the amounts:

9.1 - 6.2 = 2.9

Divide the change by the starting amount:

2.9/6.2 = 0.46774

Multiply by 100 to get the percentage and round to the nearest tenth:

0.46774 x 100 = 46.8 %

Answer: 46.8%

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

Answer:

8+11

Step-by-step explanation:

Answer:

3(2x + 1) +2(x + 4)

6x + 3 + 2x + 8

8x + 11

Step-by-step explanation:

Answer: a right triangle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Let aron's variable be = a

Let davids variable be( 6 less tan 3 times aron) = 3×a-6

Thier sum is =214

So,

3×a-6 + a = 214

3a -6 +a = 214

(transpose)

3a + a = 214 + 6

4a = 220

a = 220/4

a= 55

Thus,aron's score is = 55

And davids score is (3×a-6) = 3×55-6 = 159

Checking,

Aron score + david score = 214

55 + 159 = 214

SO, ITS CORRECT

HOPE IT HELPS :)

Answer:

14

Step-by-step explanation:

7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps

Let, amount of 14% solution required is x ounces.

So, amount of 8% solution will be ( 28 - x ) ounces.

Now, mathematical equation is :

[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]

Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.

Hence, this is the required solution.

9514 1404 393

Answer:

  25.

Step-by-step explanation:

The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.

Answer:

x=8

y=11

Step-by-step explanation:

2(8) + 2(11) = 38

8 + 3 = 11

Answer:

128

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

Answer:

B, 6

I think! hope it helped