Which graph represents a system of equations with one solution?

Answer:

d:15

Step-by-step explanation:

since the angles are equal to each other, then the sides must be equal to each other too

so...

3x+5=4X-10

15=x

Given:

An adult takes 800 mg of ibuprofen.

Each hour, one fourth of the medicine leaves the system.

To find:

The exponential equation that models this situation.

Solution:

The general exponential model is

[tex]y=a(1-r)^x[/tex]       ...(i)

where, a is initial value r is decreasing rate and x is time period.

According to the question,

Initial value of medicine = 800 mg

Decreasing at the rate of [tex]\dfrac{1}{4}[/tex] per hour.

Putting a=800 and [tex]r=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=800(1-\dfrac{1}{4})^x[/tex]

[tex]y=800(\dfrac{4-1}{4})^x[/tex]

[tex]y=800(\dfrac{3}{4})^x[/tex]

Therefore, the required exponential equation that models the given situation is [tex]y=800(\dfrac{3}{4})^x[/tex], where, y is ibuprofen (in mg) after x hours.

Answer:

B) 0.4 (6 - 2w)

Step-by-step explanation:

You can only add or subtract with the numbers that have the same variable:

You can only add -2.2w and 1.4w

Which is -0.8w

Then add 4.8 and -2.4

Which is 2.4

Now the equation is -0.8w+2.4 or 2.4-0.8w

0.4 times 6 is 2.4

0.4 times 2w is -0.8w

Which is the same

-0.8w+2.4 or 2.4-0.8w

Hope this helps!

Answer:

x=-4 and x=3

Step-by-step explanation:

If y=0, then we use the Zero Product Property:

0=(x+4)(x-3)

x+4=0

x=-4

x-3=0

x=3

Answer

8

Step-by-step explanation:

algebra ll

Answer:

x = -3

y = 9

Step-by-step explanation:

you can add the equations after multiplying the first one by 8

8x - 8y = -96  added to -8x - 4y = -96

'x' eliminated;  -12y = -108;  y = 9

Solve for 'x':

x - 9 = -12

x = -12 + 9

x = -3

Answer:

The square root of 65

Step-by-step explanation:

Using the formula A squared B squared = C Squared

Thus, c equals the square root of 65

Answer:

Toby will reach more people in 40 phone calls

Answer:

9

Step-by-step explanation:

9x2 is 18, so he can rent a bike for nine days if the rent is $2

Answer:

2

Step-by-step explanation:

Answer: 2

I got it right on ed

Answer:

no

Step-by-step explanation:

Answer:

54√2

Step-by-step explanation:

3√3 . 6√6 = (3 . 6)√(3 . 6)

= 18√18

= 18√9 . √2

= 18 . 3√2 = 54√2.

Given:

Cory made 21 of the 60 baskets she attempted.

Krista made 16 out of 40 baskets she attempted.

Paul made 17 of the 50 baskets she attempted.

Sally 11 of the 55 she attempted.

To find:

Who had the greatest percentages of baskets made?

Solution:

We know that,

[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]

Using this formula, we get

[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]

[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]

[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]

[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]

From the above percentages 40% is maximum.

Therefore, Krista has greatest percentage of baskets made.

Answer:

add one per interval

Step-by-step explanation:

an example would be:

+1

+2

+3

or:

+4

+8

+12

Answer:

As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval. The average rate of change of an increasing function is positive, and the average rate of change of a decreasing function is negative.

The image below shows examples of increasing and decreasing intervals on a function.

Answer:

b

Step-by-step explanation:

subtract 6 then multiply both sides by 2.5 which cancels out on the left side and turns the right side to -75.

Hope this helps and Merry Christmas! :)

Answer:

B :)

Step-by-step explanation:

Answer:

2

3

RESULT

In the slope-intercept form you use the slope of the line and the y-intercept to express ... The m-value, the slope, tells us that for each step to the right on the x- axis we move 2 ... the origin has a y-intersect of zero, b = 0, and represents a direct variation. ... form · Parallel and perpendicular lines · Scatter plots and linear models.

The required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, the slope is the rate of paint consumed per day.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The standard equation of the line is given as,

y -y₁ =(y₂ - y₁) /  (x₂ - x₁) (x - x₁)

Substitute the values in the above equation,
y - 56 = [(44 - 56)/3 - 2)](x - 2)
y = -12[x - 2] + 56
y = -12x + 24 + 56
y = -12x + 80

Thus, the required equation that models the data in the table is y = -12x + 80, where the y-intercept represents the initial volume of the paint, and the slope is the rate of paint consumed per day.

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Answer:

Arnold has greater debt because he owes an extra dollar to the bank

Step-by-step explanation:

Answer:

25 glasses

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

u can use a calculator

Answer:

B. 68.5 & 76.5

Step-by-step explanation:

In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.

Answer: 105

Step-by-step explanation: 105 because all angles add up to 180

Given:

A video game customers to rent games for $4.75 each.

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.

To find:

The number of video games a customer would have to rent in a year in order for the two options to be equal.

Solution:

Let x be the number of video games.

A video game customers to rent games for $4.75 each. So, the total cost is

[tex]C_1(x)=4.75x[/tex]

Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is

[tex]C_2(x)=54+2.50x[/tex]

Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.

[tex]4.75x=54+2.50x[/tex]

[tex]4.75x-2.50x=54[/tex]

[tex]2.25x=54[/tex]

Divide both sides by 2.25.

[tex]x=\dfrac{54}{2.25}[/tex]

[tex]x=24[/tex]

Therefore, the rent in two options are equal for 24 video games.

The area of the right-angle triangle will be 1/18 square inches.

The area of the right-angle triangle is given as,

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,

A = (1/2) x (1/6) x (2/3)

A = 2 / 36

A = 1/18 square inches

The area of the right-angle triangle will be 1/18 square inches.

More about the area of the right-angle triangle link is given below.

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Answer:

b. 25

Step-by-step explanation:

you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56

2×25=50 + 6 would equal 56

so, e = 25

Answer:

62.5 mph

Step-by-step explanation:

Given that :

Peter :

Speed = 50mph

Start Time = 9 a. M

Emily :

Start time = 9:30

Speed = x

In other to catch up at 11:30 :

Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs

Total distance moved by Peter :

Speed * time = 50 * 2.5 = 125miles

For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours

Speed = distance / time

Speed = 125 miles / 2 hours

Speed = 62.5 miles per hour

Answer: y= -4x^2

Step-by-step explanation:

The equation of the parabolic function is y = -4x² and the graph is plotted

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be represented as f ( x )

Now , the value of f ( x ) = y

where y = -4x²

The equation y = -4x² represents a parabola that opens downwards (since the coefficient of x² is negative).

The vertex of this parabola is at the origin (0,0), since the coefficient of x is zero. The axis of symmetry is the y-axis, since the parabola is symmetric about this line.

Hence , the equation is y = -4x²

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Answer:

Step-by-step explanation:

x = what?