The area of a rectangle with width x and length 5x is 5x2. What does the coefficient 5 mean in terms of the problem?

Answer: You can use a graphing calculator in the future

(2,3)

A

Answer:  A(2,3)

Step-by-step explanation:

To solve the system of equations;

y=-1/2x+4 and y = 2x – 1

y=-1/2x+4   ----------(1)

y = 2x – 1 -----------(2)

Lets substitute equation 2 in equation 1

2x - 1 =  -1/2x+4

Collect like term

(We move the x variables from the right -hand side of the equation to the right-hand side of the equation to the right-hand-side of the equation and then move the constants to the right-hand side of the equation)

2x  + 1/2x  =   4  + 1

5x/2  =  5

To get the value of x, we will multiply both-side of the equation by 2/5

5x/2  ×   2/5       =  5   ×   2/5

(On the left-hand side of the equation, the 5/2 will cancel out the 2/5 leaving us with x  and on the right-hand side of the equation 5 will cancel out 5 leaving us with 2)

x   =  2

Substitute x =2 in equation (2)

y =  2x  -  1

y =  2(2)  - 1

y =   4  -1

y =3

The solution to the system of the equations is x=2 and y=3

Therefore the answer is A(2,3)

Answer: A. yes, by SSS Similarity Theorem

Step-by-step explanation:

From the given picture, it can be seen that we have all the sides of bothe the triangles.

SSS Similarity Theorem says that if the ratio of lengths of the corresponding sides of two triangles are then the triangles must be similar.

From the given picture , the ratio of the sides is given by :-

[tex]\dfrac{10}{35}=\dfrac{2}{7}\\\\\dfrac{12}{42}=\dfrac{2}{7}\\\\\dfrac{11}{36.5}=\dfrac{2}{7}[/tex]

Thus, the ratio of lengths of the corresponding sides of two triangles are equal.

Hence, the triangles must be similar by SSS similarity theorem.

Answer:

see explanation

Step-by-step explanation:

The range is the set of y- values of the ordered pairs without repeats.

3

given

(4, 7), (4, - 3), (- 5, - 9)

Then the values of y are 7, - 3, - 9

hence range is { - 9, - 3, 7 }

For

(- 4, - 2), (2, 1), (4, 1)

Then the values of y are - 2, 1, 1

Hence range is { - 2, 1 }

Answer:

-3,0

Step-by-step explanation:

this is the answer hope u like it

Answer:

x=4

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

(x-4)(x-4)=0

if x=4 then 4-4=0

0^(x-4)=

x-4=0

0^0=0

Answer:

{-3,0,4,11}

Step-by-step explanation:

{(-3,6),(0,2),(4,7),(11,15)}

The domain is the input values, or x coordinates

{-3,0,4,11}

Answer:

51/x

The first number/ variable always goes on top

Answer:

1200 cm²

Step-by-step explanation:

width = x cm

length = 3x  cm

perimeter = 160 cm

2(x + 3x) = 160

4x = 160/2

4x = 80

x = 80/4

x = 20  cm  - width

length = 3x = 3 · 20 = 60 cm

Area = length · width = 60 · 20 = 1200 cm²

The rectangle's width is 20 cm and its length is 60 cm. Thus, the area of the rectangle is 1200 square centimeters.

We are given that the length of a rectangle is three times its width. Let's denote the width as 'w'. Consequently, the length would be '3w'.

The perimeter of a rectangle is given by the formula: 2*(length + width). Given that the perimeter is 160 cm, we can substitute our variables into the formula: 2*(w + 3w) = 160. This simplifies to 8w = 160. Therefore, the width (w) equals 20 cm, and the length is 60 cm (3w).

The area of a rectangle is calculated by multiplying its length and width. Hence, the area of our rectangle is: 60 cm * 20 cm = 1200 square centimeters.

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Answer:

30 laps per hour

Step-by-step explanation:

The first thing you do is calculate the amount of hours he swam for. Since he swam 2 hours each day, 5 days each week, for 5 weeks we use the equation 2*5*5. The answer is 50. After that what we do is take the amount of laps and divide it by 50. We do 1500 divided by 50 and we get a total of 30 laps per hour.

See the attached picture:

Answer:

the answer will be verticle angles

Step-by-step explanation:

∠4 and ∠5 form vertical angles.

When two lines intersect each other, then non-adjacent opposite angles are called vertical angles.

Vertical angles are always equal in measurement.

If line AB and CD intersect each other at point O, ∠AOC and ∠BOD are vertical angles, similarly, ∠AOD and ∠BOC are also vertical angles.

Here lines 1 and 2 intersect each other.

So ∠4 and ∠5 are formed which are non-adjacent and opposite also.

Therefore ∠4 and ∠5 form vertical angles.

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Answer:

0.40625

Step-by-step explanation:

Answer:

The answer is 13/2

Step-by-step explanation:

Answer:

rxch.ace_

Step-by-step explanation:

Final answer:

Bus 2 is scheduled to leave at 3:00 pm, but if it leaves 15 minutes early, it departs at 2:45 pm and arrives at the shops at 3:00 pm. If Bus 1 is 15 minutes late, it arrives at 2:45 pm, the same time Bus 2 leaves, preventing the transfer.

Explanation:

To solve the question regarding bus schedules and arrival times, let's break down each part of the problem step by step.

Part (a): Scheduled Departure Time of Bus 2

Bus 1 arrives at the first stop at 2:30 pm. There is a half-hour wait, so the earliest you can board Bus 2 is at 3:00 pm. Since Bus 2 arrives at the shops at 3:15 pm, and it leaves 15 minutes before its scheduled arrival time, Bus 2 is scheduled to leave at 3:00 pm.

Part (b): Bus 2 Leaves Early

Bus 2 is supposed to leave 15 minutes early. If its scheduled departure was 3:00 pm, it actually leaves at 2:45 pm. Since it leaves 15 minutes early and the travel time remains unchanged, Bus 2 would still arrive at 3:00 pm at the shops.

Part (c): Bus 1 is Late

Bus 1 is 15 minutes late. Instead of leaving at 2:00 pm, it leaves at 2:15 pm and arrives at the first stop at 2:45 pm. Since Bus 2 leaves at 2:45 pm, you would not be able to transfer from Bus 1 to Bus 2 since their arrival and departure times coincide.

Answer:

None of then, the slope is 1

Step-by-step explanation:

We have to use the general equation for lines, that is:

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

where 'm' is the slope (by comparison)

So, we only need to compare your equation ([tex]y=x-3[/tex]) with the general one.

We can see that m=1, b=-3

So our slope turns out to be equals to 1

The first step of solving this inequality is subtracting 3 to both sides. This will cancel 3 from the left side to start isolating x.

2x + 3 - 3 ≥ 17 - 3

2x ≥ 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

x≥7

Step-by-step explanatio

To solve this problem, subtract 3 from both sides and divide by 2 from both sides.

2x+3-3≥17-3

17-3=14

2x≥14

2x/2≥14/2

14/2=7

x≥7 is the correct answer.

Answer:

1/56 gallon

Step-by-step explanation:

The car wash has 1/7 gallons of soap and they can use 1/8th of it each day. So, you would set up [tex]\frac{1}{7}[/tex] x [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{56}[/tex].

Answer:

Step-by-step explanation:

y-intercept: (0, y)

x-intercept: (x, 0)

Therefore the y-intercept is only (0, 1).

Answer:

The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

Step-by-step explanation:

* Lets explain how to solve it

- Decreasing function means a function with a graph that moves

 downward as it is followed from left to right.

- For example, any line with a negative slope is decreasing function

- Lets look to the attached graph to understand the meaning of the

 decreasing function

∵ f(x) = IxI ⇒ green graph

∵ g(x) = Ix + 1I - 7 ⇒ purple graph

- From the graph f(x) translated 1 unit to the left and 7 units down to

 form g(x)

- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}

- The range of f(x) is {y : y ≥ 0}

- The range of g(x) is {y : y ≥ -7}

# For f(x)

- The slope of the green line from (-∞ , 0) is negative

- The slope of the green line from (0 , ∞) is positive

# For g(x)

- The slope of the purple line from (-∞ , -1) is negative

- The slope of the purple line from (-1 , ∞) is positive

∵ The line with negative slope represent decreasing function

∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

The function g(x) = |x+11|-7 is a transformed absolute value function, which is decreasing on the interval (-infinity, -11) due to the horizontal shift to the left by 11 units.

The question is asking about the transformation of the absolute function f(x) = |x| into a new function g(x). The function provided, g(x) = |x+11|-7, is a transformed version of f(x) where the graph has been shifted horizontally and vertically. To determine on which interval g(x) is decreasing, we need to consider the properties of the absolute value function and its transformations.

The graph of the standard absolute value function, f(x) = |x|, is shaped like a 'V', increasing for x > 0 and decreasing for x < 0. When we introduce a horizontal shift to the function (such as adding 11 to x), this shifts the vertex of the 'V' horizontally. For g(x), the graph is shifted to the left by 11 units due to the '+11' inside the absolute value. Therefore, the function will be decreasing on the interval (-infinity, -11) since the function will decrease to the left of the vertex (which is now located at x = -11). The vertical shift (subtracting 7) simply moves the graph down but does not affect the intervals of increasing or decreasing behavior.

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

Answer:

The answer is (5*2x) - (5*3)

Step-by-step explanation:

You just have to multiply the coefficient by the individual numbers and variables inside the parentheses. :)

Answer:

a CANNOT be even ⇒ answer A

Step-by-step explanation:

* Lets revise the rules of even and odd numbers

- Even numbers any number its unit digit is (0 , 2 , 4 , 6 , 8)

- Odd numbers any number its unit digit is (1 , 3 , 5 , 7 , 9)

# even + even = even ⇒ 2 + 4 = 6  

# odd + odd = even ⇒ 1 + 3 = 4  

# odd + even = odd ⇒ 1 + 2 = 3  

# even × even = even ⇒ 2 × 4 = 8

# odd × odd = odd  

⇒ 3 × 5 = 15

# odd × even = even  ⇒ 5 × 6 = 30

∵ a[b(c + d) + e] = odd

∵ odd × odd = odd  

∴ a must be odd and [b(c + d) + e] must be odd

∵ odd + even = odd

∵ odd × even = even

# Case 1

∴ b(c + d) must be odd  if e even

∵ b(c + d) is odd

∴ b must be odd and (c + d) must be odd

∵ c + d must be odd

∵ odd + even = odd

∴ c or d can be even

- We now now that e , c and d can be even

# case 2

∴ b(c + d) must be even  if e odd

∵ b(c + d) is even

∵ even × even = even

∴ b and (c + d) both can be even

∵ c + d can be even

∴ c or d can be even or odd

- We now now that e , c , d and b can be even

∴ Only a can not be even

* a CANNOT be even

Answer:

-7

Step-by-step explanation:

Mischa's equation is   -x² + 4x - 7 = 0

The standard form is ax² + bx + c = 0

c is the constant term in the quadratic equation.

If we compare terms, we find that c = -7.

Answer:

2x-3

Step-by-step explanation:

4(x - 3) - 2x + 9

Distribute the 4

4x -12 -2x+9

Combine like terms

4x-2x  -12+9

2x -3

Answer:

25 degrees.

Step-by-step explanation:

The 3 angles in a triangle  add up to 180 degrees therefore:

m < C = 180 - 72 - 83

=  180 - 155

= 25 degrees.

Answer:

25

Step-by-step explanation:

Theorem:

The sum of the measures of the interior angles of a triangle is 180 degrees.

The theorem is can be written as the equation below.

m<A + m<B + m<C = 180

We know the measures of angles A and B, so we substitute the values for those measures, and we solve for the measure of angle C.

72 + 83 + m<C = 180

Add like terms on the left side.

155 + m<C = 180

Subtract 155 from both sides.

m<C = 25

Answer: m<C = 25

Answer:

987.

Step-by-step explanation:

The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.

APEX ANSWER: 987

Step-by-step explanation:

377 + 610 = 987

Intersecting chord rule:

DK x KB = AK x CK

12 x 4x+1 = 14 x 3+3x

Simplify:

48x +12 = 42x +42

Subtract 12 from each side:

48x = 42x + 30

Subtract 42x from each side:

6x = 30

Divide both sides by 6:

x = 5

Now find the length of KB: 4x +1 = 4(5) +1 = 20 +1 = 21

Now add KB and AK:

21 + 14 = 35

The answer is D. 35

The required length of KB(21) + AK(14) is 35. Option D is correct.

The figure is given,
where AK = 14. DK = 12, KB = 4x+1 and  KC =3+3x.
KB + AK to be determined.

The ratio can be defined as the relativeness of the fraction of one quantity towards others.

Here,
The ratio of AK: DK = KB:KC

[tex]14/12= 4x+1/3+3x\\14*(3+3x) = 12*(4x+1)\\2+42x = 48x+12\\42-12=48x-42x\\6x= 30\\x = 5[/tex]

Now,
= KA + KB
= 14 + 4x+1
= 14+ 4(5)+1
= 35

Thus, the required length of KB + AK is 35.

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[tex](6x^2+5)-(4x-3)=6x^2+5-4x+3=6x^2-4x+8[/tex]

ANSWER B

I took the test and that was the correct answer

Answer:

f(-3) = 12

Step-by-step explanation:

-3 < 2; 9 + 3 = 12 [(-3)² - -3 (double negative)]; DO NOT change -3 to 3.

I hope this helps, and as always, I am joyous to assist anyone at any time.

Answer:

[tex]h(x)=\frac{1}{4}x[/tex].

Step-by-step explanation:

The inverse is basically you just swapping x and y.  People want to solve it for y to make it a function of x.

[tex]y=4x[/tex]

Swap x and y:

[tex]x=4y[/tex]

Now solve for y by dividing y on both sides:

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

[tex]\frac{1}{4}x=y[/tex]

[tex]y=\frac{1}{4}x[/tex].