can you help me simplufy 4sqrt(10) x 2sqrt(20)

Based on the attached graph, the y-intercept is 3

The y-intercept of the function is the point or points where the graph of the function crosses the y-axis i.e. the point where the value of x equals 0

The graph that completes the question is added as an attachment

Using the definition above, we understand that

The y-intercept for the graph of the exponential function is the point where x = 0

On the attached graph, we have

y = 3, when x = 0

This means that the y-intercept for the graph of the exponential function is 3

This is so because the graph of the function crosses the y-axis  at y = 3 when x = 0

Hence, the y-intercept of the exponential function is 3

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Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0​

=> x = -1 -2y

Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

x = -1 - 2y = -1 -2(-2) = -1+4= 3

Thus, point of intersection of line is (3,-2)

To find the equation of a line that passes through the points;

(10, 2) and (2, -2)

we will use the formula;

From the question;

x₁ = 10 y₁=2 x₂ = 2 y₂ = -2

substiuting the above values into the formula;

Then we will go ahead and simplifies

Answer:

18 hours

Step-by-step explanation:

Forst u must find out how much u get for 1 hour which is 198/11=18 so every hour u get 18 dollars.

Next, Ypu must divide 324/18 to see how many hours he worked which we get 18

Finally 18 is the answer!

Step-by-step explanation:

If he made $198 in 11hrs

how many hours will he take to make $324

Let hours be x

$198=11hours

$324= x hours

= $324 *11hours / $198

= 18 hours

I hope this helps.

Answer:

increases by 30

Step-by-step explanation: its right

Answer:

=

Step-by-step explanation: Please mark brainliest

Substitute 3 in for m and solve

4m - 1 = 4(3) - 1 = 11

5m - 4 = 5(3) - 4 = 11

Answer:

Step-by-step explanation:

P&R3 model and solve

problems using linear

equations of the form:

ax = b *

x

a

= b, a ≠ 0*

ax + b = c *

x

a

+ b = c ,a ≠ 0*

a x( ) + b = c *

ax + b = cx + d *

* a bx ( ) + c = d ex ( ) + f

*where a, b, c, d, e, and f [C,

CN, PS, V]

1. Introduction to Solving Linear Equations (pg. 4-7)

• Model the solution of a given linear equation using concrete or

pictorial representations, and record the process.

Algebra stones and Algebra Tiles.

Solve x + 5 = 10 , x − 7 = 10 , 2x = 10 , x

3 = 10

2. Solving equations of the form ax+b=c and a/c +b=c (pg. 8-10)

• Solve a given linear equation symbolically.

• Solve a given problem using a linear equation and record the

process.

Solve. 4m+3=31 & 2

5

m − 5 = 3

3. Solving equations of the form a(x+b)=c and ax+b=cx+d(pg. 11-14)

• Determine, by substitution, whether a given rational number is a

solution to a given linear equation.

Solve. 4(m+3)=40 & 6m+3=2m+15

Is m=5 a solution to the equation 2(m + 2) = 14 ?

4. More practice with ax+b=cx+d (Pg. 15-18)

• Identify and correct an error in a given incorrect solution of a

linear equation

Solve. 2(m+1)+4m=4(m-2)+6.

5. Solve equation with fractions. (Pg. 19-23)

• Solve a given linear equation symbolically. Solve m

3 + 2m

5 − 1

2

= 2

6. Solve Linear equations without numbers. (Pg. 24-28)

• Solve a given linear equation symbolically.

Solve for m. )( =+ BnmA

P&R4 explain and illustrate

strategies to solve single

variable linear inequalities with

rational coefficients

within a problem-solving

context.

7. Introduction to linear inequalities (Pg. 29-33)

• Translate a given problem into a single variable linear inequality

using the symbols ≥, >, < , or ≤ .

• Determine if a given rational number is a possible solution of a

given linear inequality.

Write an expression to represent the following

statement: Melanie needs at least $280 for snow

boarding.

8. Inequalities that Include Addition and Subtraction (Pg. 34-37)

• Generalize and apply a rule for subtracting a positive or

negative number to determine the solution of a given inequality.

• Generalize and apply a rule for multiplying or dividing by a

positive or negative number to determine the solution of a given

inequality.

• Solve a given linear inequality algebraically and explain the

process orally or in written form.

• Verify the solution of a given linear inequality using

substitution for multiple elements in the solution.

Solve 2x + 5 < 25 and verify your solution.

True or False.

If −2x > −10 then x > 5 .

9. Solving Problems with Linear Inequalities (Pg. 38-41)

• Compare and explain the process for solving a given linear

equation to the process for solving a given linear inequality.

• Graph the solution of a given linear inequality on a number line.

• Compare and explain the solution of a given linear equation to

the solution of a given linear inequality.

• Solve a given problem involving a single variable linear

inequality and graph the solution.

Vertical Wireless charges $50/ month plus $0.25 for

all minutes above 400 minutes per month. Frue Gal has

decided that she does not want to pay more than $70

per month. Write an inequality to represent how many

minutes she can use per month without going over her

$70 limit. Approximate your solution on the number

line

10. Chapter Review and Practice Test

• Help students develop sound study habits.

• Many students will graduate high school saying they do not

know how to study for math tests.

11. Go over Practice Test

12. Unit Evaluation

Answer:

Since they are vertical angles (or angles opposite each other), you set them equal to each other.

5x + 4 = 74

5x = 70

x = 15

Answer:

Step-by-step explanation:

You want the distance traveled and the displacement after walking 17 m south and 13 m east.

The distance traveled is the sum of the lengths of each leg of the trip:

  17 m + 13 m = 30 m

You have traveled a distance of 30 m.

The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:

  h = √(a² +b²)

  h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401

At the end of your walking, you are 21.4 m from where you started.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

Step-by-step explanation:

Problem #1:

m: rise/run: 3/1

Slope : 2

y-intercept: (0,−3)

b: -3

Problem #2

m: rise/run: 3/1

y-intercept: (0,-1)

b: -1

Answer:

number of males: 29

Number of females: 18

Step-by-step explanation:

X=number of females

X+11=number of males

X+X+11=47

2X+11=47

2X=47-11

2X=36

X=36/2

X=18

So number of females = 18

X+11=18+11=29

So number of males = 29

Answer:

A, B, and E. Hope this helps!

Answer:

(0,2) (2,0)

Step-by-step explanation:

I think it will work

The question does not specify any requirements. I'll determine the equation of the line shown in the graph

Answer:

y = -x + 2

Step-by-step explanation:

Straight Line in Intercept Form

The equation of a line with cuts off intercepts a and b respectively from the x and y axes is:

\(\displaystyle \frac{x}{a}+\frac{y}{b}=1\)

The intercepts of the line shown on the graph are a=2, b=2, thus:

\(\displaystyle \frac{x}{2}+\frac{y}{2}=1\)

Multiplying by 2 we get the general form of the line:

x + y = 2

The equation in slope-intercept form is:

y = -x + 2

Answer:

\((x^2+7)(x^2-5)\)

To find the length of a line segment in a circle, use the formula \(d = 2r\) \(sin(t/2)\) , where r is the radius of the circle and t is the angle between the radii. The length of segment DE is  \(5\) units.

We can use the similar triangles property to find the missing length of segment DE in the given figure. Because triangles ABD and CBE are similar, we can use a proportion to find the length of DE:

\(CB/BE = AB/BD\)

With the given values, we get:

\(3/6 = 5/(5 + DE)\)

When we simplify and solve for DE, we get:

\(3(5 + DE) = 6 * 5 \s15 + 3DE = 30\)

\(3DE = 15 \sDE = 5\)

Therefore, segment DE has a length of 5 units.

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Answer:

\(3x < 4 .2\)

\(huge/pink/answer[text]

Answer:

draw the 4th arrow from -1.4 to full right until 3 or more

Step-by-step explanation:

Open circles are used for numbers that are less than or greater.

Closed circles are used for numbers that are equal to and less than or equal to and greater than.

Answer:

2

Step-by-step explanation:

6w is a term

7x is a term

Answer:

ΔABC ≅ ΔEDF

Step-by-step explanation:

Triangle ABC is congruent to triangle EDF because they're the same size.

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\( \sf\triangle ABC \cong \triangle DEF\)

For checking congruency, we need to follow a proper order when choosing the triangle. because each triangle name is unique in itself.

So, According to Triangle ABC, we need to find the triangle with first two letters That resembles AB, that is :

and next should be :

\( \qquad \large \sf {Conclusion} : \)

so, now we got the sense for naming, therefore the answer will be :

\( \sf\triangle ABC \cong \triangle DEF\)

The cosine value is given as follows:

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

The tangent value is given as follows:

\(\tan{\theta} = -\frac{\sqrt{7}}{4}\)

First we must obtain the secant value, according to the identity presented as follows:

\(\sec^2{\theta} = 1 + \tan^{2}{\theta}\)

Replacing the tangent into the expression, we have that:

\(\sec^2{\theta} = 1 + \frac{7}{16}\)

\(\sec^2{\theta} = \frac{23}{16}\)

\(\sec{\theta} = \frac{\sqrt{23}}{4}\)

The secant is positive, as the angle is in the fourth quadrant, where the cosine is positive.

The cosine is then given as follows:

\(\cos{\theta} = \frac{1}{\sec{\theta}}\)

\(\cos{\theta} = \frac{4}{\sqrt{23}} \times \frac{\sqrt{23}}{\sqrt{23}}\)

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

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Answer: the arc elasticity percentage change from 80 to 100 is 22%

Step-by-step explanation:

formula for arc-elasticity percentage change is given as;

{ [Xₙ - X₀]  / [ (X₀+Xₙ) / 2] } × 100

X₀ is old value, Xₙis new value

Now from our question

old value X₀ = 80

new value Xₙ = 100

WE SUBSTITUTE

Arc-Elasticity = { [100 - 80]  / [ (80+100) / 2] } × 100

Arc-Elasticity = { [20]  / [ 180 / 2] } × 100

Arc-Elasticity = (20/90)  × 100

Arc-Elasticity = 22.22 ≈ 22%

Therefore the arc elasticity percentage change from 80 to 100 is 22%

In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:

the arc elasticity percentage is 22%

First, we have that the formula for the elastic arc is:

\(([X_n - X_0] / [ (X_0+X_n) / 2] } * 100\)

Informed the exercise data as:

Substituting the values ​​in the formula given above, we find that:

\(Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%\)

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Answer:

x=8 x=16

Step-by-step explanation:

Given function:

Thinks:

Rewrite as:

Thereform, x=8 and x=16.

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

Let's denote the original scholarship amount as "P."

According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.

Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).

Now, we can sum up all the shares to equal the original scholarship amount:

Ron's share + Nick's share + Mary's share + Margaret's share = P

(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P

To simplify the equation, we can combine like terms:

(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P

Combining the fractions and constants:

(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P

16P/12 - $48,000 = P

Multiplying both sides of the equation by 12 to eliminate the denominator:

16P - $576,000 = 12P

Subtracting 12P from both sides of the equation:

4P = $576,000

Dividing both sides of the equation by 4:

P = $144,000

Therefore, the original scholarship amount is $144,000.

Ron's share: (1/3)($144,000 - $72,000) = $24,000

Nick's share: (1/4)($144,000 - $72,000) = $18,000

Mary's share: (1/4)($144,000 - $72,000) = $18,000

Margaret's share: $72,000

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

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The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:

\(Slope = 1.57\)

Step-by-step explanation:

Given

\(Height = 230.38\ m\)

\(Base = 146.5\ m\)

Required

Determine the slope

Slope is calculated as thus:

\(Slope = Rise/Run\)

In this case:

\(Rise = Height = 230.38 m\)

\(Run = Base = 146.5 m\)

So, we have:

\(Slope = 230.38 / 146.5\)

\(Slope = 1.57\) (approximated)

Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45  

o

)=±1. Hence by P+λQ=0,

5λ+3

2λ+4

​

=±1

⇒λ=  

3

1

​

,−1. Putting for λ, the two lines are

x−y=0,x+y−2=0.

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If the spin lands on the space where the contestant wins nothing, then x = 0.

If the spin lands on a space where the contestant wins $1, then x = -1 + 1 = 0. If the spin lands on a space where the contestant wins $4, then x = -2 + 4 = 2.

The expected value of x can be calculated as follows:

E(x) = (333/555) × 0 + (111/555) × (-2 + 1) + (111/555) × (-2 + 4) = (111/555) * 2 = 0.4.

So, on average, the player's net gain per spin is 40 cents.

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Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.