Which of the following are prime factorizations of the number 28? Check all
that apply.

A. 7,4

B. 2, 2,7

C. 7, 2,2

D. 4,7

Answer:

The only function is C.

Step-by-step explanation:

Given:

The graph of linear function.

To find:

The rate of change the given linear function.

Solution:

From the given graph it is clear that the line passes through the points (0,1) and (1,-1). So, rate of change is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-1-1}{1-0}[/tex]

[tex]m=\dfrac{-2}{1}[/tex]

[tex]m=-2[/tex]

Therefore, the rate of change of the given linear function is -2. Hence, the correct option is A.

Answer:

5 and 5b: y=-2x+10

5a: y-2=-2(x-6)

Step-by-step explanation:

We can use the mentioned data points to identify the slope. Time will always the x coordinate/axis, so gallons will be the y coordinate/axis. As you probably already know, slope is rise over run, so we can measure the change in y over the change in x, or we can do [tex]\frac{y-y_{1}}{x-x{1}}[/tex]. When we plug in our points, (2,6) and (5,0), we get  [tex]\frac{6-0}{2-5}[/tex], or [tex]\frac{6}{-3}[/tex], or [tex]\frac{2}{-1}[/tex], or simply -2. So our slope is -2.

We can use our y-intercept (which is (0,10), as mentioned in the attached graph and table) to make the equation, in slope-intercept form, [tex]y=-2x+10[/tex] This can answer both question 5 and 5b. Remember that slope-intercept form is written using the format y=mx+b, where x any given x-coordinate, y is the corresponding y-coordinate, m is the slope and b is the y-intercept.

To put this equation in point-slope form, one must first remember that point-slope form is written in the format [tex]y-y_{1} = m(x-x_{1})[/tex], using the coordinates of any given coordinates on the same line, except for the y intercept. m also represents slope in this equation. So for this one, we can easily use (2,6). we can plug in these coordinates to get the equation y-2=-2(x-6).

Hope this helps.

Graph and table were created using Desmos dot com graphing calculator.

Answer:

c. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.

Step-by-step explanation:

We are given the graph of a function of the distance in function of the time.

We want to study the graph during the part of the graph labeled K, which is non-linear, meaning that the accelaration is not constant. This means that the car travels different distances per unit of time, and the correct answer is:

c. The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.

Step-by-step explanation:

Using Trignometry,

sin60° = BC/10.

=> BC = 10sin60°

= 10 * (√3/2) = 5√3 = 8.7. (1d.p.)

Answer:

[tex] \sin(60°) = \frac{BC}{10} \\ \frac{ \sqrt{3} }{2} = \frac{BC}{10} \\ BC = \frac{10 \sqrt{3} }{2} \\ BC= 5 \sqrt{3}\\\boxed{\red{BC= 8.7}}[/tex]

Answer:

anwer is i dont know im sorry

Answer:

2

3

–

3

4

=

– 1

12

Step-by-step explanation: is this the answer?

Answer:

20%

Step-by-step explanation:

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)

Answer:

$14.90

Step-by-step explanation:

357.60 ÷ 24 is 14.9

Answer:

1.8% or 1.818181%

Step-by-step explanation:

If in a batch of 440 water purifiers, we find 8 to be defective.

Then the probability of the next purifier being defective is 8/440

In percentage = 8/440 * 100

=> 8/44 * 10

=> 8/22 * 5

=> 40/22

=> 20 / 11

20/11 is roughly 1.8181818

Rounding it to the nearest tenth, we get 1.8%

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step explanation:

=

4

−

4

+

5

=

9

−

4

Step-by-step explanation:

given

g(r)= -1 -7r

g ( 6) = - 1 - 7 * 6

= - 1 - 42

= - 43

Answer:

m<1=62°

m<2=23°

m<3=157°

m<4=23°

m<5=62°

Step-by-step explanation:

m<1= 180-118=62

m<2=180-95-62=23

m<3=180-23=157

m<4=m<2=23

m<5=m<1=62

Measures of the missing angles

m∠1 = 62° , m∠2 = 23°, m∠3 = 157° , m∠4 = 23° , m∠5= 62°

An angle is the figure formed by two rays called sides of the angle sharing a common endpoint called the vertex of the angle.

Given,

In the figure

sum of angles on a straight line is 180° .

m∠1 + 118° = 180°

m∠1 = 180° - 118°

m∠1 = 62°

In a triangle, measurement of all interior angles is 180°

m∠1 + m∠2 + 95° = 180°

62° + m∠2 + 95° = 180°

m∠2 + 157° = 180°

m∠2 = 180° - 157°

m∠2 = 23°

Sum of angles on a straight line is 180°

m∠2 + m∠3 = 180°

23° + m∠3 = 180

m∠3 = 180° - 23°

m∠3 = 157°

Since ∠2 and ∠4 are supplementary angles

m∠4 = m∠2

m∠4 = 23°

Sum of all interior angles of a quadrilateral is 360°

m∠3 + m∠4 + m∠5 + 118° = 360°

157 + 23 + m∠5 +118 = 360

m∠5 + 298 = 360

m∠5 = 360 - 298

m∠5 = 62°

Hence, m∠1 = 62°, m∠2 = 23°, m∠3 = 157°, m∠4 = 23°, m∠5= 62° are the measures of the missing angles.

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Answer:

1/5

Step-by-step explanation:

If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2.  If you do that on both X and Y it will give you 2.  The black shape's top right cordinate is (2,2) which explains why its 1/5...

Can I plz have it!

Answer:

Large avocados should cost $ 1.83 or less to be a good deal.

Step-by-step explanation:

Since there are two types of avocado in the store, some small at $ 0.92 and others larger, to determine at what price large avocados would be a good deal, an equivalence must be established in this regard:

Thus, if two small avocados are equal to one large, buying two small avocados at $ 0.92 the total price would be $ 1.84. Therefore, any large avocado that sells for less than $ 1.84 would be a good deal. Thus, large avocados should cost $ 1.83 or less to be a good deal.

Answer:

4/115

64/62

Step-by-step explanation:

Since you dont have to simplify, just find the number of each animal then put it over whatever other animal the questions said was treated

Answer:

$6.45

Step-by-step explanation:

Answer:

The value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Step-by-step explanation:

Given

f(x) = 3x² + x - 3

g(x) = x² - 5x + 1

To determine

f(x) - g(x)

Using the formula

f(x) - g(x) =  3x² + x - 3 - ( x² - 5x + 1)

              = 3x² + x - 3 - x² + 5x - 1

              = 2x² + 6x - 4

Therefore, the value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Answer:

x = {0, π/3, π, 4π/3}

Step-by-step explanation:

4cos⁴(x) - 5cos²(x) + 1 = 0

(u² - 1)(4u² - 1) = 0

u² - 1 = 0

u² = 1

u = ± 1

cos x = ± 1

=> x = 0 or π

4u² - 1 = 0

4u² = 1

u² = 1/4

u = ± 1/2

cos x = ± 1/2

=> x = π/3 or 4π/3

Therefore, x = {0, π/3, π, 4π/3}.

Answer:  (-2, -5)

Explanation:

The solution to the system is where the lines intersect. The point (-2,-5) is on both the blue and orange line simultaneously.

The point (-2, -5) means x = -2 and y = -5 pair up together to form the full solution.

-2, -5

got it right on edge

Answer: 1

Step-by-step explanation: divide 3 by 3

Answer:

$4400

Step-by-step explanation:

Total earnings = $1038

Base salary = $675

What part of the total earnings was from the commission?

$1038 - $675 = $363

She made $363 in commissions.

The commissions are 8.75% of the sales.

Let sales = x.

8.25% of x = $363

0.0825x = 363

Divide both sides by 0.0825

x = 4400

Answer: Her sales were $4400

Answer:

 -4

Step-by-step explanation:

Answer:

true I think. I rember some, sorry if its wrong

Answer:

General solution    x   = log | sec y | + C            

Step-by-step explanation:

Step(i):-

Given

          [tex]e^{x} cosy dx - e^{x} sin y d y = 0[/tex]

         [tex]e^{x} (cosy dx = e^{x} sin y d y[/tex]

           cos y dx = sin y d y

                [tex]dx = tan y d y[/tex]

Step(ii):-

now integrating on both sides , we get

            [tex]\int\limits {1} \, dx = \int\limits {tany} \, dy[/tex]

by using formula

               [tex]\int\limits {tany} \, dy = log | sec y | + C[/tex]

             x   = log | sec y | + C

Final answer:-

General solution    x   = log | sec y | + C

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.

Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

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Answer:

The value of x will be:

[tex]x=22\sqrt{2}[/tex]

or

[tex]x = 31.1[/tex]

Step-by-step explanation:

Given

To determine

hypotenuse x = ?

For a right-angled triangle with sides, a and b the hypotenuse c is defined as

[tex]c=\sqrt{a^2+b^2}[/tex]

substituting a = 22, b = 22 and c = x

[tex]x=\sqrt{22^2+22^2}[/tex]

[tex]x=\sqrt{22^2\cdot \:2}[/tex]

Apply radical rule:  [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]x=\sqrt{2}\sqrt{22^2}[/tex]

[tex]x=22\sqrt{2}[/tex]

or

[tex]x = 31.1[/tex]

Therefore, the value of x will be:

[tex]x=22\sqrt{2}[/tex]

or

[tex]x = 31.1[/tex]