Select the inequality which represents the gragh shown below -6-y>=x2-7x

Answer:

27a + 72

Step-by-step explanation:

Open the brackets

9(3a) + 9(8)

27a +72

Answer:

27a + 72

Step-by-step explanation:

9(3a + 8)

Using the distributive property, we can multiply 9 by everything in parentheses, which now gives us: 27a + 72

We cannot simplify this further, as we have an unknown value in the variable a, thus we cannot apply 72 to 27a, or inverse.

Meaning that, the answer is 27a + 72

Answer:

-120

Step-by-step explanation:

f(x) = 2-27+1

f(x) = 2-27+1

f(x) = -24

g(x) = 2²+1

g(x) = 4+1

g(x) = 5

f(x) g(x) = f(x) * g(x) = -24 * 5 = -120

Answer:

The surface area of the box is 52 square meters. To calculate the surface area of a rectangular box, we need to find the area of each face and then add them together. In this case, the box has six faces, each with a different length and width. The top, bottom, and side faces are all rectangular, while the front and back faces are also rectangular but have a different size.

To find the surface area of the box, we can start by finding the area of the top and bottom faces. The top and bottom faces are both 2 meters by 4 meters, so the area of each face is 2 * 4 = 8 square meters. Therefore, the total area of the top and bottom faces is 8 * 2 = 16 square meters.

Next, we can find the area of the front and back faces. The front and back faces are both 3 meters by 2 meters, so the area of each face is 3 * 2 = 6 square meters. Therefore, the total area of the front and back faces is 6 * 2 = 12 square meters.

Finally, we can find the area of the side faces. The side faces are both 3 meters by 2 meters, so the area of each face is 3 * 2 = 6 square meters. Therefore, the total area of the side faces is 6 * 2 = 12 square meters.

To find the total surface area of the box, we need to add the areas of the top, bottom, front, back, and side faces together.

Step-by-step explanation:

Answer: 52 square meters

Step-by-step explanation:

at first just off of the top of my head i thought it would be 26.

Answer:

18 days

Step-by-step explanation:

1) Write an Equation:

50t + 100 = 1000

Where

100 is the set cost to sign up for the car service

t is time in days

2) Solve the Equation for t

50t + 100 = 1000

50t + 100 - 100 = 1000 - 100

50t = 900

50t / 50 = 900 / 50

t = 18

The solution is Option A.

The mean of the actual weights of the samples is 1.002

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the observations be represented as M

Now , the value of mean M is calculated as

The number of samples be = 10

The weight of the samples can be given from set A

The value of set A is

Set A = { 1.01 , 1.03 , 0.98 , 0.99 , 1.01 , 1.02 , 0.98 , 1.05 , 0.97 , 0.98 }

The sum of the values of weights of set A is S

Sum S = 1.01 + 1.03 + 0.98 + 0.99 + 1.01 + 1.02 + 0.98 + 1.05 + 0.97 + 0.98

Sum of weights S = 10.02

Now , the mean of the weights is given by

Mean = Sum of Values / Number of Values

Mean = Sum of weights / Number of samples

Substituting the values in the equation , we get

Mean = 10.02 / 10

Mean M = 1.002

Therefore , the value of M is 1.002

Hence , The mean of the actual weights of the samples is 1.002

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The statement, "If m∠X ≅ m∠Y and m∠Y ≅ m∠Z, then m∠X ≅ m∠Z" demonstrates: D. the transitive property.

In geometry, the transitive property of congruency states that when two angles, sides, or triangles are congruent to a third angle, side, or triangle, then all three angles, sides, or triangles will be congruent to each other.

Illustrating the transitive property, if a = b, and b = c, therefore, a = b = c. We can then state that a = c.

Therefore, given that If m∠X ≅ m∠Y and m∠Y ≅ m∠Z, then m∠X ≅ m∠Z, we have:

Two angles, X and Z, which are both congruent to a third angle, Y.

Therefore, based on the transitive property, we can state that all three angles are congruent to each other, which leads us to conclude that:

m∠X ≅ m∠Z.

Thus, the statement given demonstrates the: D. transitive property.

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Earning of Jim, Bill and Tom are $x, $3x, and $(x + 5) respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let Jim earned $x in one weekend.

Bill earned 3 times as much as Jim which is $3x.

Tom earned $5 more than Jim which is $(x + 5).

Sum of their all earnings will be,

= $(x + 3x + x + 5).

= $(5x + 5).

So, Jim is the least earner and Bill is the most earner.

The main concept of these types of questions is to form the expression interpreting from the given statements.

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Answer:

The next step is to combine constants

Step-by-step explanation:

Answer:

than twice the smaller number, what are the numbers?

Let's call the smaller number x and the larger number y. We know that x + y = 58 and y = 2x - 10. We can substitute the second equation into the first to get x + (2x - 10) = 58. Combining like terms, we get 3x - 10 = 58, which means that x = 24. Plugging this back into the equation y = 2x - 10, we get y = 48. So, the two numbers are 24 and 48.

Answer:

1. (1/2)x + 6

2. (1/2)x - 4

3. y = (2/1)x + 2

4. y = 5x - 1

5. y = (1/5)x + 3

Step-by-step explanation:

y = mx + b

Parallel lines have the same "mx"

1. y = (-1/2)x - 2

Parallel line:

y = (-1/2)x + 6

2. y = (1/2) + 4

Parallel line:

y = (1/2)x - 4

3. y = 2x - 4

Parallel line:

y = (2/1)x + 2

4. y = 5x + 2

Parallel line:

y = 5x - 1

5. y = (1/5)x + 10

Parallel line:

y = (1/5)x + 3

I hope this helps!

The slope intercept form is y= ( -3/2 ) x + 7/2

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

(x1,y1)= (3. -1) and (x2,y2)= (5, -4)

slope intercept form:

y=mx+b , m=slope, b = constant

m= (y2-y1) /( x2-x1) = (-4-(-1)) / ( 5-3) =  -3/2

line equation:

y-y1=m(x-x1)

Substitute the values

y-(-1)=( -3/2 ) (x-3)

y+1=( -3/2 ) x + 9/2

y= ( -3/2 ) x + 9/2 - 1

y= ( -3/2 ) x + 7/2

Thus, the slope intercept form is y= ( -3/2 ) x + 7/2

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A triangle cannot be formed with side lengths 3, 9, 17 because A. No, because 3 + 9 < 17

In geometry, a triangle is a polygon with three sides, three edges, and three vertices. The main characteristic of a triangle is that the sum of its internal angles is 180 degrees.

This is referred to as the triangle's angle sum property. It should be noted that any two sides of a triangle must have a sum of lengths greater than the third side.

In this instance, the result of multiplying 3 by 9 equals 12, which is less than 17. Therefore, choice A is the right one.

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Answer:

-3x + y = -39

Step-by-step explanation:

If it is perpendicular to y=-1/3x+2, then the slope is positive 3. If it passes through (9, -12), then we can set up our equation:

y+12 / x-9 = 3. Simplifying, we have:

y=3x-39, which in standard form is:

-3x+y= -39

Hope this helps!

The angles in the parallel lines are as follows;

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.

Therefore, let's find the angles m∠1 and m∠2.

Hence,

138 + m∠1 = 180(angles on a straight line)

The sum of angles on a straight line is 180 degrees.

m∠1 = 180 - 138

m∠1 = 42 degrees

Therefore,

m∠1 =  m∠2 (alternate exterior angles)

Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

Alternate exterior angles are congruent.

Therefore,

m∠1 =  m∠2 = 42 degrees.

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Answer:

  760

Step-by-step explanation:

You want to know the number of devices without defect if 3% of a day's production of 784 devices are defective.

The number of defective devices produced in a day is expected to be ...

  3% × 784 = 23.52 ≈ 24 . . . . devices

The number without defect will be the remaining number of devices:

  784 -24 = 760

About 760 devices are without defect.

Answer:

d. h = 11.3 ft

Step-by-step explanation:

volume of cone = [tex]\frac{1}{3}[/tex]r²[tex]\pi[/tex]h

r = 4 feet

Put in your values:

[tex]\frac{1}{3}[/tex](4)²(3.14)h = 189 ft³

16(3.14)h = 567

50.24h = 567

h = [tex]\frac{567}{50.27}[/tex] = 11.3

The height of the cone is h = 11.3 feet

In geometry,  a cone is a three-dimensional shape formed by joining a set of line segments from a common point called apex to all the points of the base which is a circle.

Height of the cone is distance from apex to the center of the circular base.

Volume of a cone is defined as the total capacity of the cone and the formula for the same is given by,

V = [tex]\frac{1\\}{3}[/tex]πr²h

Here, V = 189 ft³, r = 4 ft, π = 3.14

Substituting these values in formula for the volume,

189 = [tex]\frac{1}{3}[/tex] × 3.14 × 4² × h

189 = [tex]\frac{50.24}{3}[/tex]h

h = 189 × 3 / 50.24

h = 11.285 ≈ 11.3

Hence the height of the cone with radius 4 ft and volume 189 ft³ to the nearest tenth of a foot is 11.3 ft.

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The distance left after 3 hour's drive is 20 miles.

An equation is a mathematical statement of two expressions connected by an equal sign.

We have.

d = 125 - 35t

d is the distance left after traveling t hours.

Now,

t = 3.

d = 125 - 35 x 3

d = 125 - 105

d = 20

Thus,

The number of miles left after 3 hour drive is 20 miles.

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Using the corresponding angle theorem, the value of y is 36 degree.

In the given question, b||c.

We have to find the value of y.

Given: b||c

Find: Value of y

Let x be the value of side angle of (2y+34) degree.

So, using the corresponding angle theorem

x = 74 degree

As we know that the sum of straight line is 180 degree.

So 2y+34+x = 180

Now putting the value of x

2y+34+74=180

After simplifying

2y+108=180

Subtract 108 on both side, we get

2y=72

Divide by 2 on both side, we get

y=36

Hence, the value of y is 36 degree.

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Answer:

[tex]1\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\sf 8-6\frac{1}{9}[/tex]

First, make 6 1/9 an improper fraction.

[tex]\sf8-\frac{55}{9}[/tex]

And now to solve the fractions you have to make the denominators the same.

For that, multiply both the numerator and denominator of 8 by 9.

Let us solve it now.

[tex]\sf8-\frac{55}{9}\\\\\sf\frac{8*9}{1*9} -\frac{55}{9}\\\\\sf\frac{72}{9} -\frac{55}{9}\\\\\frac{72-55}{9} \\\\\frac{17}{9}[/tex]

And now let us write the answer as a mixed number.

[tex]1\frac{8}{9}[/tex]

Answer:

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree (which comes from the exponent on the leading term) and the leading coefficient (+ or –) of a polynomial function determines the end behavior of the graph.

Step-by-step explanation:   hope this helps!

The function approaches negative infinity as x approaches positive infinity and the function approaches negative infinity as x approaches positive infinity. Option C is correct.

The end behavior of a polynomial function describes the behavior of the function as x becomes very large in either the positive or negative direction.

As x approaches negative infinity, the function becomes more and more positive. As x approaches positive infinity, the function becomes more and more negative.

As x → -∞, y → ∞

As x → +∞, y → -∞

In other words, the function approaches negative infinity as x approaches positive infinity and the function approaches negative infinity as x approaches positive infinity.

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The option 1 "Similar due to SSS and a scale factor of 3.5. Triangle QRS is similar to triangle VUT." is correct.

In the given question, the triangles below are similar.

So, we have to state the reason and write the similarity statement.

ΔQRS≈

(a) Similar due to SSS and a scale factor of 3.5. Triangle QRS is similar to triangle VUT.

(b) Similar to due SAS and a scale factor of 0.29. Triangle QRS is similar to triangle TUV.

(c) Similar due to AA. Triangle QRS is similar to triangle VUT.

(d) Similar due to SSS and a scale factor of $0.29$. Triangle QRS is similar to triangle VUT.

As we know that, the ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor.

Since the both triangle area similar so using the SSS theorem;

Triangle QRS congruence to triangle VUT.

QR/VU = RS/UT = SQ/TV

So QR/VU = 56/16; RS/UT = 70/20; SQ/TV = 98/28

QR/VU = RS/UT = SQ/TV = 3.5

Hence, ΔQRS≈ΔVUT using the SSS theorem with the scale factor of 3.5. So the option 1 "Similar due to SSS and a scale factor of 3.5. Triangle QRS is similar to triangle VUT." is correct.

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For every prime power pn that divides the order of a finite group G, the Sylow theorems ensure the existence of a subgroup of G of order pn.

What is subgroup?

Sn1 is transitive because normal subgroups of primitive groups are, and as a result, pn1! A transitive group of degree p's centralizer now has order. Given that p is a prime number and n is a positive integer, let G be a finite group of order pn. Assume that H is an index-containing subgroup of G. Note that you can prove it for any boolean interval of rank 4 if you also know the normal subgroups of G. A homomorphism is produced by the left multiplication that G naturally performs on G/H.

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Answer:

the first one

Step-by-step explanation:

Answer:

Around 96.77%

Step-by-step explanation: Take 100 divided by 31 and then multiply the product of that by 30.

The value of the given composite function f(g(x)) at x = -1 is that f(g(-1)) will be 6.2.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function f(x) and g(x) are linear functions.

Take (-6,6) and (-1,5)

The equation will be as follows,

f(x) - 6 = (5 - 6)/(-1 + 6)(x + 6)

f(x) - 6 = -x/5 - 6/5

f(x) = -x/5 - 6/5 + 6

f(x) = -x/5 + (- 6 + 30)/5

f(x) = -x/5 + 24/5

Take (-6,-12) and (-1,-7)

g(x) + 12 = (-7 + 12)/(-1 + 6)(x + 6)

g(x) + 12 = x + 6

g(x) = x - 6

Now, f(g(x)) = -(x - 6)/5 + 24/5

f(g(-1)) = -(-1 - 6)/5 + 24/5

f(g(-1)) = 7/5 + 24/5 = 6.2

Hence "At x = -1, the value of the composite function f(g(x)) is that f(g(-1)) will be equal to 6.2.".

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The sentence that includes a non-restrictive clause is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

Restrictive and non-restrictive clauses are defined as follows:

The sentence with the non-restrictive clause in this problem is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

However, the following sentence could be understood just as easily:

Giana found the perfect life-sized chicken hat to add to her collection.

Meaning that the "who collects anything relating chickens" noum is unnecessary, and thus the second option is correct.

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Using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

Division's opposite is multiplication.

If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.

So, we know that each student plant 5 trees.

In all, total 1280 plants were planted.

Then, calculate the number of studensts that planted 1280 plants as follows:

1280/5

256

Therefore, using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

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Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33