Which graph represents a function?

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x²  + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm

Answer:

90

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay, here we have a reduction in the number of students by 20% from 2010 to 2011.

In 2011, we had k students, so we want to calculate the number of students we had in 2010.

Let the number of students present in 2010 be x

So mathematically;

x - 20% of x = k

x - 0.2(x) = k

0.8x = k

x = k/0.8

x = k * 1/0.8

x = k * 1.25

x = 1.25k

Answer:

1

Step-by-step explanation:

It starts with number one, so one must be the initial value of the sequence.

1

 Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

Answer:

-8

Step-by-step explanation:

Hello!

What we do to one side of the equation we do to the other side

7 * p = -56

Divide both sides by 7

p = -8

The answer is -8

Hope this helps!

Answer:

10

Step-by-step explanation:

the distance is given by

[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(10 - 4)}^{2} } [/tex]

=

[tex] \sqrt{100} [/tex]

= 10

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the lines. When graphed, the lines are parallel, and they do not intercept at a point.

There is no solution to the system.

Answer:

Step-by-step explanation:

We will use the graphing method.

Graph the both equations. The intersection point coordinates are the solution of the system.

● 2x + 3y = 7

● -4x -6y = -2

The two lines are parallel. So the system has no real solution. If we tried solve it with calculations we will find an impossible result ( 12 = 0)

Answer:

8

Step-by-step explanation:

rows=x

each row=(x+5) tomatoes

she increased the number of rows by 3

and doubled the number of tomatoes in each row

3multiplied by x=3x

(2x+10) because she doubled them

3x+10÷2x

=8

I've tried I hope this helps

Answer:

Hey there!

Pythagorean Theorem

a^2+b^2=c^2

10^2+36^2=c^2

100+1296=c^2

1396=37.4.

Um... did you make a typo?

Let me know if you did, because then I can edit my answer.

Answer:

1222/99

Step-by-step explanation:

12.343434.. =

= 12.(34)

= 12 34/99

= (12*99+34)/99

= (1188+34)/99

= 1222/99

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done

Answer:

the percentage share for BBC2 remained almost the same at about 11 % each year

if you look at the chart the BBC2 almost remains stable between 10 and 12 %

1980 ( between 39 and 51)

1985 ( between 37 and 49 ) and so on

( these numbers are not exactly the same , it is about or approximately)

Answer:

LCM of 7/25 and 3/25 is 25

Step-by-step explanation:

The full meaning of LCM is Lowest (Least) Common Multiple

Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero

Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.

In the above question, we are asked stop find the LCM of 7÷25 and 3÷25

= LCM of 7/25 and 3/25

The two denominators are the same, hence, the LCM is 25.

Answer:

That the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Hello,

Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

565.80

Step-by-step explanation:

600.79-40.0032+5.01 =  565.7968

565.7968 to the nearest Hundredths​ =

565.80

Answer:

565.80

Step-by-step explanation:

600.79 - 40.0032 + 5.01

600.79 - 40.0032 = 560.7868

560.7868 + 5.01 = 565.7968

565.7968 to the nearest hundredth = 565.80

Answer:

  C.  7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

  distance = speed × time

  300t = 350(t -1)

  300t = 350t -350 . . . . eliminate parentheses

  350 = 50t . . . . . . . . . . add 350-300t

  7 = t . . . . . . divide by 50

The trip out took 7 hours.

Answer:

23

Step-by-step explanation:

Take the amount of money and divide by the hour

46/2 = 23

23 dollars for every hour

The constant of proportionality is 23

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

The function is given :

f(x) = 4x + 15

For f(-3), the input for the function f(x) is -3.

Replace the x variable with -3.

f(-3) = 4(-3) + 15

Evaluate.

f(-3) = -12 + 15

f(-3) = 3

The output for f(-3) is 3.

Answer: f(-3) = 3

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(-3).

We find f(-3) by plugging -3 in for x,

everywhere that x appears in the function.

So we have 4(-3) + 15.

4(-3) is -12 so we have -12 + 15 which is 3.

So f(-3) is 3.

Answer:

Step-by-step explanation:

If A laptop battery has 81% power after 1 hour of use

It looses 19 % of its energy in one hour.

The difference between 81% and 24% is 57%

The slope of the line of rate of decrease of battery percentage is 19% per hour.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is

y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or the rate of change is large.

We know slope(m) of a line = (y₂ - y₁)/(x₂ - x₁).

The problem can be constructed as having two points (1, 81) and (4, 24).

∴ Slope(m) = (24 - 81)/(4 - 1).

Slope(m) = - 57/3.

Slope(m) = - 19.

learn more about slope here :

https://brainly.com/question/3605446

#SPJ2

Answer:

Width = 9

Step-by-step explanation:

According to the problem...

3x = length

x = width

2(3x + x) = 72

3x+x = 36

4x = 36

x = 9 = width

Hope that helped!!! k

Answer:

45.3°

Step-by-step explanation:

A right triangle is formed given the information above.

Angle of depression = x°

Distance between first bird and birdwatcher = opposite to angle x° = 32 ft

Distance between second bird and birdwatcher = hypotenuse of the right triangle formed = 45 ft

The trigonometric ratio formula to use is:

[tex] sin(x) = \frac{opp}{hypo} [/tex]

[tex] sin(x) = \frac{32}{45} [/tex]

[tex] sin(x) = 0.7111 [/tex]

[tex] x = sin^{-1}(0.7111) [/tex]

[tex] x = 45.3 [/tex] (nearest tenth)

Angle of depression = 45.3°

Answer:

45.3°

Step-by-step explanation:

Hope this helps :)

Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Answer:

THE ANSWER WOULD BE TRUE MY FRIEND

Answer:

Two and three fourtieths.

Step-by-step explanation:

5 6/8 + 4 4/5

= 46/8 + 24/5

= 83/40

= 2 3/40

Two and three fourtieths(2 3/40) is the answer.

Answer: 9 22/40

Step-by-step explanation:

Answer:

16/27

[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]

Answer:

The answer is - 18

Step-by-step explanation:

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

To solve the equation multiply both sides of the equation by 3

That's

Simplify

Divide both sides of the equation by 2

We have the final answer as

The value of n that makes the equation true is - 18

Hope this helps you

Answer:

-1/12

Step-by-step explanation:

-1/3 * 1/4

Multiply the numerators

-1 *1 = -1

Multiply the denominators

3 *4 =12

numerator over denominator

-1/12

Answer:

the answer is [tex]\frac{-1}{12} \\[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} x \frac{1}{4}[/tex]

3x4= 12 is now the denominator

                       and

the numerator stays the same because -1x1=-1

so there for the answer is [tex]\frac{-1}{12}[/tex]

hope this helped you  ^.^ happy holiday

Step-by-step explanation:

Hey, there!!

you number is: 81/625

We know that,

81=9×9

and

625=25×25

and............................................................

9×9 means 9^2

and 25×25 means 25^2

so, the exponential form of the question is,

=[tex] \frac{ {9}^{2} }{ {25}^{2} } [/tex]

{we simply find exponential form by finding their fraction}

Hope it helps...