What is the area of this figure? Pls answer quick!! Will mark the brainliest!!
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Answer:

Step-by-step explanation:

Cube

Solve for edge

a= 2

V Volume 8

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

84 x^12

Step-by-step explanation:

(4x)(-3x^8)(-7x^3)

Multiply the numbers

4*-3 *-7 = 84

x* x^8 * x^3 = Add the exponents = x^(1+8+3) = x^12

84 x^12

the equation of the direct variation is

y = k x, where

k is the constant of variation

Let x represents the number of volunteers

y represents the number of houses

let us choose a point from the graph to find k

The point (5, 0.5) lies on the graph

x = 5 and y = 0.5

Substitute them in the equation above

0.5 = k(5)

0.5 = 5k

Divide both sides by 5 to find k

0.5/5 = 5k/5

0.1 = k

the equation of variation is y = 0.1 x

To find the number of houses with 60 volunteers

Substitute x by 60

y = 0.1(60)

y = 6

The number of houses can be built with 60 volunteers is 6

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

I think its C

Step-by-step explanation:

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

1. y=5-2x

2. -y=5-2x

3. \( \frac{5 - x}{2} \)

Step-by-step explanation:

1. 2x+y=5

y=5-2x

2. 2x-y=5

-y=5-2x

3. x+2y=5

2y=5-x

\( \frac{5 - x}{2} \)

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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Answer:

x=3

Step-by-step explanation:

4(x+6)-11= 25

Distribute the 4: 4x+24-11=25

Add the 11 on both sides: 4x+24=36

Subtract 24 from both sides:  4x=12

Divide 12 by 4 to isolate x: x=3

I hope this helped, please mark Brainliest, thank you!

Step-by-step explanation:

A factor is an independent variable that is manipulated in an experiment.

Every factor has two or more levels, which are different values of the factor.

A combination of factor levels is called a treatment.

There is one factor: number of jumps.

This factor has two levels: sets of 10 and sets of 20.

For a single factor experiment, the levels are also the treatments: Jump 10 program and Jump 20 program.

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Linear Algebra

a-2= 3+6a/3

=> 3(a-2)= 3+6a

=> 3a-6= 3+6a

=> -6-3=6a-3a

=> -9=3a

hence, a=-3

A)

So this is true

b)

So this is true

c)

So it is false

d)

So this is false

Answer:

y = -6x + 2

Step-by-step explanation:

y = mx + b

m = slope

slope = m = -6

y = -6x + b

8 = -6(-1) + b

b = 2

y = -6x + 2

Answer:

y = -6x + 2

Step-by-step explanation:

We can use point slope formula, when we have a point and a slope.

y - 8 = -6(x  + 1)

that's the equation.

If you want it in Slope intercept form, you simply distribute the -6 and move the 8 to the other side

y - 8 = -6x - 6

y = -6x +2

Answer:

F(x)=3^5(1/4)^x

Step-by-step explanation:

By the exponential decay definition: y = ab×

b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.

There is only (1/4)ˣ :  where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice

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But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)

Answer:

B, C, D

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Hello, first of all we could say, let 's replace x by 1 and see if we can conclude.

numerator gives \(\sqrt{1+15}-4=\sqrt{16}-4=4-4=0\)

denominator gives 1-1=0

So, this is 0/0 and this is not defined.

We need to ask a friend for help. Guillaume de l'Hôpital, French mathematician from the 1600s,  has a trick to solve this kind of stuff.

In short, he says that

\(\displaystyle \lim_{x\rightarrow c} \ {\dfrac{f(x)}{g(x)}}=\lim_{x\rightarrow c} \ {\dfrac{f'(x)}{g'(x)}}\)

In our case here, we have c = 1

\(f(x)=\sqrt{x^2+15}-4\\\\g(x)=x-1\)

\(f'(x)=\dfrac{1}{2}\dfrac{2x}{\sqrt{x^2+15}}=\dfrac{x}{\sqrt{x^2+15}}\\\\f'(1)=\dfrac{1}{4}\\\\g'(x)=1\\\\\dfrac{f'(1)}{g'(1)}=\dfrac{1}{4}\)

So, we can conclude

\(\displaystyle \lim_{x\rightarrow1} \ {\dfrac{\sqrt{x^2+15}-4}{x-1}}=\lim_{x\rightarrow1} \ {\dfrac{1}{4}}=\boxed{\dfrac{1}{4}}\)

Thanks

To solve this problem, we will use the conditional probability definition: Given events A,B such that P(B)>0 we have that

Where P(A|B) means the probability of A given B occurred. This also leads to the following

Now, let us define two events. Let M1 be the event that we select a male first and let F2 be the event that we select a female second. We want to calculate the following probabilty

Using the definition of conditional probability, this is the same as

Now, we will calculate P(M1). At the beginning, when we have not picked anyone yet, we have 37 people (21 Female and 16 Male). So the probability of picking a male first is simply

Now, we will calculate the second probability. Since we already picked one male, we have now 36 people (21 female and 15 male). Then the probability of picking a female is

So,

Answer:

the answer is 5*3

Step-by-step explanation

15*6=90

3*2=6

90/6=15

5*3=15

G

Answer:

\(V=lwh\\\frac{V}{lw} = \frac{lwh}{lw} \\\frac{V}{lw} = h\)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.

Step-by-step explanation:

The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre

The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45

Answer:

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

Explanation:

x + 3y = 9

2x + 6y = 12

First you check if the two equations are compatible, that is

if they are parallel, they must not intersect.

Parallel means they have the same slope, given by dy/dx in general, and in the case of linear equations by the ratio of the y coefficient to that of x, that is 3 for the first equation, and 3 for the second. Since these two equations are parallel, they are multiple of each other. Now where these straight lines intersect the axis y = 0, that is the x-axis, is the constant term on the right hand side. Try it

Put y = 0 you get x = 9, for the first equation, and y = 0, x = 6 for the second equation, This is geometrically impossible, and therefore algebraically too. So this problem has no solution

Explanation:

If I'm wrong or That I missed The Question and just missed read it then My Answer Might have been wrong correct me or sumn If Im wrong

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Answer:

3√10

Step-by-step explanation:

From the Euclidean theorem x^2 (height) is equal to 9 × 10

x^2 = 90

x = 3√10

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

Its B

Step-by-step explanation:

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