what is the range.f(x)=x^2+6x+8

The meaning of ran R = { v : there exist u, (u, v) ∈ R} is,

⇒ Defined as v, there exist u such that an order pair (u, v) is belon in relation R

We have to given that;

The meaning of,

⇒ ran R = { v : there exist u, (u, v) ∈ R}

Since, WE know that;

''ran R'' is stand for range of relation R.

Which is defined as,

⇒ ran R = { v : there exist u, (u, v) ∈ R}

That's mean,

Let us defined as v, there exist u such that an order pair (u, v) is belon in relation R.

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Answer:

D 35

Step-by-step explanation:

2/5 = 14/x

solve for x by cross multiplying

5x=70

Answer: the hamster weighs 3/16 more than the hamster

Step-by-step explanation: there is already a common denominator so you just do 4 minus 1 equals 3 therefore you have 3/16

The equation of the parallel line is y = -3/5x + 5

The equation is given as

3x + 5y = 6

The point is also given as

Point = (0, 5)

The equation of a line can be represented as

y = mx + c

Where

Slope = m and c represents the y-intercept

So, we have

3x + 5y = 6

This gives

5y = -3x + 6

Divide

y = -3/5x + 6/5

By comparing the equations y = mx + c and y = -3/5x + 6/5, we have the following

m = -3/5

This means that the slope of y = -3/5x + 6/5 is -3/5

So, we have

m = -3/5

The slopes of parallel lines are equal

This means that the slope of the other line is -3/5

The equation of the parallel line is then calculated as

y = m(x - x₁) +y₁

Where

m = -3/5

(x₁, y₁) = (0, 5)

So, we have

y = -3/5(x + 0) + 5

Open the brackets and evaluate

y = -3/5x + 5

Hence, the parallel line has an equation of y = -3/5x + 5

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Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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The amount of interest is $972 and monthly payment is $102.

Simple interest is based on the principal amount of a loan or the first deposit in a savings account.

Given that, a loan described as purchase of a living room set for $2,700 at 12% add-on interest for 3 years

SI = P*R*T/100

SI = 2700*12*3/100 = $972

Amount to be paid = $972+$2,700 = $3672

Amount to be paid monthly = $3672/3*12 = $102

Hence, The amount of interest is $972 and monthly payment is $102.

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Answer:

3 lb 7 oz

Step-by-step explanation:

Simply substract 6 lb & 3 lb , then substract 13 oz with 6 oz ..... AND YOU ARE DONE

!!! UwU gang !!!

*3ill MoB*

Answer:

Below

Step-by-step explanation:

Using the proprtionality relation:

● 8/10 =5/x

● (4*2)/(5*2) = 5/x

Simplify using 2

● 4/5 = 5/x

Multiply both sides by 5

● (4/5)*5 = (5/x)*5

● 4 = 25/x

Switch x and 4

● x= 25/4

■■■■■■■■■■■■■■■■■■■■■■■■■

Again use the proportionality relation but this time with y.

● 8/10 =7/y

8/10 = 4/5

● 4/5 = 7/y

Multiply both sides by 5

● (4/5)*5 =(7/y)*5

● 4 = 35/y

Switch 4 and y

● y = 35/4

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35\)

Answer:

look at picture

Step-by-step explanation:

The graph that represents the inequality is given.

Inequality is a relationship where two expressions or values are not equal to each other.

For origin test, substitute x=0, y=0 into the first inequality.

0+0>4

Since the obtained inequality is not true, the origin will not be included in the shaded region.

For origin test, substitute x=0, y=0 into the second inequality.

2(0)-0>2

0>2

Since the obtained inequality is not true, the origin will not be included in the shaded region.

In both inequalities, since the equal to "=" sign is not included, the lines will be dotted.

Plot the dotted lines, x+y=4 and 2x-y=2 on the same graph and shade the region not including the origin.

Thus, the graph of the given system of inequalities is given in the image.

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Answer:

4y - 12

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

4y - 12

(to answer, type a 4 in the first box and a 12 in the other)

Step-by-step explanation:

Multiply 4 to the values inside of the parentheses:

4 * y - 4 * 3 =

4y - 12

Answer:

fiduhguhgfbuifhff

Step-by-step explanation:

lfhmiofioe

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

All you need to do is split the shape so that you can find the individual area

Step-by-step explanation:

So we first split the shape so we get a triangle...

Now we split the shape again to get another square...

Then we find the area of the other square...

Our last step is to add all the areas together

Hence the area is 22

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

Zeros of the function:

x = 0

x = 2

As the function is always positive, and the zeros are above, the explicit form is:

f(x) = x^2 (x - 2) (x - 2)

Answer:

$56

Step-by-step explanation:

Divide $24 ÷3 to get the amount saved for the first week is 8

Multiply8 ×7=$56 after 8 weeks

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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A linearly independent set that generates the subspace of diagonal matrix in M2x2(F) is {[1,0;0,0], [0,0;0,1]}.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a, b∈F.

A linearly independent set of vectors that generate this subspace is {[1,0;0,0], [0,0;0,1]}. Any diagonal matrix can be written as a linear combination of these two vectors.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a,b∈F. This means that all the diagonal entries in the matrix must be non-zero. To find a linearly independent set that generates this subspace, we can start by considering the simplest form of a diagonal matrix, which is [1,0;0,0]. This vector is linearly independent, as it cannot be expressed as a linear combination of any other vector in the space. Similarly, [0,0;0,1] is also linearly independent, as it can't be expressed as a linear combination of any other vector.

These two vectors form a linearly independent set that generates the subspace of diagonal matrices in M2x2(F). Any diagonal matrix can be written as a linear combination of these two vectors. For example, the matrix [2,0;0,3] can be expressed as 2[1,0;0,0]+3[0,0;0,1]. Thus, this set of vectors is sufficient to generate the entire subspace.

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An equation of the line in slope-intercept form include the following: y = 4x + 3.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (0, 3) and a slope of 4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = 4(x - 0)  

y - 3 = 4x

y = 4x + 3

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by use fethagors on the 3 triangle and make 3 equation with 3 variable we can solve the question like in picture

The value of y for the given right-angle triangle is 8.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides.

Apply Pythagorean theorem with common y,

x² - 16² = z² - 16

x² - z² = 256 - 16 = 240

Again apply the Pythagorean theorem, In the whole triangle

x² + z² = 20²

x² + z² = 400

From the expressions,

2x² = 400 + 240

2x²² = 640

x² = 320

x = 17.88

Again by the Pythagorean theorem,

y² = x² - 16²

y² = 17.88² - 16²

y² = 320 - 256

y² = 64

y = 8

Hence, the value of y is 8.

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

For the given differential equation, the expression for the transfer function of the system, Y(s)/x(s) is 8 + y + dx

We need to use four bars to separate the plates, so there are five spaces for the bubble wraps. We can place the bubble wraps in any of these spaces, and we have six bubble wraps to choose from. Therefore, the number of arrangements where no two plates are adjacent is:

=> Y(s)/x(s)

The probability of ending up in an unsecured configuration is equal to 1 minus the probability of not ending up in an unsecured configuration. Thus, the probability of ending up in an unsecured configuration is:

=> dx + 3 +5 + y

=> 8 + y + dx

This means that there is a 98.75% chance of ending up in an unsecured configuration where two plates are not separated by bubble wrap if we staple plates and bubble wrap at random in a moving box.

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Answer:

63

Step-by-step explanation:

you divide and add then subtract