Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!

Answer:

The answer is \(x > 2\)

Step-by-step explanation:

to solve this inequality:

\(5x+7 > 17\)

Put "-7" on both sides

\(5x+10\)

divide by 5 on both sides

your answer should be 2.

Statement b is not true about y = x² + 9x - 22.

To find the x-intercepts of a function, we set y = 0 and solve for x. For y = x² + 9x - 22, we have:

x² + 9x - 22 = 0

In the quadratic equation ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula provides the solutions. The equation is:

x = √(b² - 4ac) - (-b) / 2a

Any quadratic equation of the type ax²+ bx + c = 0 can be resolved using this formula. The discriminant of the quadratic equation is denoted by the expression b²- 4ac. There are two valid solutions to the equation if the discriminant is positive. There is just one true solution to the equation if the discriminant is 0. There are no actual solutions to the equation if the discriminant is negative.

Using the , we get: quadratic formula

x = (-9 ± √(9^2 - 4(1)(-22))) / (2(1))

x = (-9 ± √(193)) / 2

Therefore, the x-intercepts are approximately (-10.6, 0.0) and (1.6, 0.0), which means that statement **b** is not true.

To find the y-intercept of a function, we set x = 0 and solve for y. For y = x² + 9x - 22, we have:

y = (0)² + 9(0) - 22

y = -22

Therefore, the y-intercept is at -22, which means that statement **c** is true.

The function has linear factors of (x + 11) and (x - 2), which means that statement d is true.

The function has a zero at -11 because (-11 + 2)(-11) = 0, which means that statement a is true.

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Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

(a) No, it does not seem likely that there is a strong association.

Taking, for example, the next values:

HR salary

0 557,500

9 3,750,000

10 556,400

13 20,000,000

47 605,000

we can see that salaries vary randomly

(b) The plot of data and the regression line is shown in the next picture:

where x represents home runs (HR) and y represents Salary

r = 0.1369

(c) the correlation is positive (the slope of the regression line is positive) and negligible (r is near zero)

(d) The equation of the regression line is:

(e) Substituting with x^ = 21:

Substituting with x^ = 70:

The prediction for 21 home runs is likely to be more accurate

Answer:

Problem 1: No

Problem 2: Yes

Step-by-step explanation:

Problem 1:

{(-2, 1), (-2, 3), (0, -3), (1, 4), (3, 1)}

This relation is not a function because there are two y-values, 1 and 3, related to one x-value, -2.

Thus, for a relation to be a function, every x-value must be related to exactly 1 y-value.

Problem 2:

{(0, 2), (3, 4), (-3, -2), (2, 4)}

In this relation, each x-value (domain) has exactly one y-value (range) that it is related to. Therefore, this is a function.

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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Answer: 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )

Step-by-step explanation:

ok, so just let me, uh, make this a little easier on my eyes lol:

-10m^4n^3+8m^2n^6-6m^2n^6 ----> (-10m^4)(n^3) + (8m^2)(n^6) - (6m^2)(n^6)

I just put in parentheses. nothing changed. just parentheses.

Since the leading coefficients, -10 , 8 , and 6 are multiples of two,

we can take out 2 from each... [-10/2 = 5 , 8/2 = 4 , 6/2 = 3 ]

= 2 x [ (-5m^4)(n^3) + (4m^2)(n^6) - (3m^2)(n^6) ]

Looking at it now...

we can take out m^2 from each... m^4 , m^2 , and m^2

m^2 [m^2 , 1 , 1]

since    m^4 /m^2 = m^2 , m^2 /m^2 = 1 , m^2 /m^2 = 1

= 2(m^2) x [ (-5m^2)(n^3) + (4x1)(n^6) - (3x1)(n^6) ]

= 2(m^2) x [ (-5m^2)(n^3) + (4)(n^6) - (3)(n^6) ]

Finally, one more step...

we can take out n^3 from each term.... n^3 , n^6 , and n^6

n^3 [1 , n^2 , n^2] since n^3 /n^3 = 1 , n^6 /n^3 = n^2 , n^6 /n^3 = n^2

= 2(m^2)(n^3) [ (-5m^2)(1) + (4)(n^2) - (3)(n^2) ]

= 2m^2n^3 x [ (-5m^2) + (4n^2) - (3n^2) ]

= 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )

ANSWER: 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )

keep this parentheses. seriously.

Given that the radius of the cylinder is 7cm and height is 2cm.

The formula for the volume of the cylinder is

Hence the required volume of the given cylinder is

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

Answer:

Dan drank 11 glasses of water

Step-by-step explanation:

5 + 6 = 11

Answer:

11

Step-by-step explanation:

5+6=11

Answer:

Step-by-step explanation:

Step 1.   Determine the dollar amount of the markup

          175 - 79 = 96

Step 2:   Divide the markup Amount by the Cost

          96/79 = 1.215

Step 3:   Multiply by 100 and add the % sign

           1.215 x 100 = 121.5%

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The total number of shirts in the dresser is 4y + ×. The correct option is A

We need to add up the number of shirts on each shelf.

The first shelf's shirt count is indicated with the number x.

y indicates how many shirts are present on each of the four remaining shelves.

We may add up the shirts on each rack to determine the overall number of shirts:

Total = x + y + y + y + y

Simplifying the expression, we have:

Total = x + 4y

Therefore, The total number of shirts in the dresser is 4y + ×.

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Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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The amounts of each substance needed to obtain a mixture of 20 pounds at a price of $5.4 per pound is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

The mixture has a total of 20 pounds, hence:

x + y = 20.

y = 20 - x.

The total cost of the mixture is of $108, as 108/20 = 5.4, hence:

7x + 3y = 108

Replacing the second equation into the first, the value of x is given as follows:

7x + 3(20 - x) = 108

4x = 48

x = 12.

Then the value of y is given as follows:

y = 20 - 12

y = 8.

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Answer:

3x²-33x-180=3(x²-11x-60)=3(x-15)(x+4)

The roots are x-15=0, x=15 and x+4=0, x=-4

Answer:

Step-by-step explanation:

it apperes to me that all are rational numbers

Hope this helps

The range of the function on the graph is C. all the real numbers greater than or equal to –3 .

We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .

So, the range contain all the real numbers greater than or equal to –3 .

Therefore, the range contain all the real numbers greater than or equal to –3 .

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The properties of the graph of the function y = f(x) indicates;

a) The domain is [-4, 6]

b) The range is; [-8, 5.5]

c) The function is neither even nor odd

d) f(x) = -3 for x = -4, x ≈ -1, x ≈ 5.26

e) The local maximum is; (-2, 4.5)

The local minimum is; (3, -8)

f) The function increases in the intervals; [-4, -2] and [5, 6]

The function decreases in the interval; [-2, 3]

A function is a relationship between two sets. It is mathematical rule that maps each of the elements of a set, known as the domain, to exactly one element from another set, known as the range.

a) The domain of the function y = f(x) is the set of the x-values for which the function is defined. The information obtained from the graph indicates that the function is defined from x = -4 and x = 6, therefore, the domain of f(x) is; [-4, 6]

b) The range of f(x) is the set of y-values of the function, based on the domain of the function. The details on the graph indicates that the maximum value of the function is 5.5 and the minimum y-value is -8, therefore, the range is; [-8, 5.5]

c) The function is even, odd or neither if f(-x) = f(x, f(-x) = -f(x), or neither, or if the function is symmetric to the y-axis, the origin or neither. The graph of the function indicates that the function is not symmetric to the y-axis or the origin, so the function is neither even nor odd.

d) To solve f(x) = -3, the x-values where f(x) = -3 are required. The point (-4, -3) on the graph indicates that when f(x) = -3, x = -4.

Similarly, an horizontal line, f(x) = -3, indicates that when f(x) = -3, x = 1

The equation of the straight line portion is; y + 6 = ((-6 - 5.5)/(5 - 6))·(x - 5)

y + 6 = 11.5·(x - 5) = 11.5·x - 57.5

y = 11.5·x - 63.5

When f(x) = y = -3, we get; -3 = 11.5·x - 63.5

x ≈ 5.26

Therefore; f(x) = -3 when x = -4, x ≈ 1, and x ≈ 5.26

e) The local maximum are the points where the y-values are higher compared to the surrounding points.

The local maximum is the point (-2, 4.5)

The local minimum are points where the function is point that is lower compared to the surrounding points on the graph, therefore;

The local minimum is the point (3, -8)

f) The details on the graph indicates that the function increases between x = -4 and x = -2, and between x = 5 and x = 6.

The function decreases between x = -2 and x = 3

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A function is fdefined that all values in the independent variable (x) has an only image in the dependent variable (y). Since the equation x=5 is a vertical line then there are multiple values in y for x=5 then it only represents a relationship not a function

Answer is D.

Answer: 3^3 Square root 3

Step-by-step explanation:

Answer:

D 1

Step-by-step explanation:

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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The statement (c) describes that the graph of f is shifted 5 units down to create the graph of g. The solution has been obtained using the concept of vertical translation.

What is translation?

Translation is the act of moving a shape or a figure from one position to another. It is classified into two types:

Now, for a function f(x) we define a vertical translation of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards.

if N is negative, the translation is downwards.

We are given g(x) = f(x) - 5

This shows that N is negative and therefore, there is translation of 5 units downwards.

Hence, the graph of f is shifted 5 units down to create

the graph of g.

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110 square units.

Step-by-step explanation:

Points X6,8 Y3,3 , and Z13,-3 form the triangular outline of a park. What is the area of △ XYZ ？ area of △ XYZ=  110 square units.

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

\((x,y)\to (x,-y)\)

Using this, we get

\(A(-1,-3)\to A'(-1,3)\)

\(B(-4,-1)\to B'(-4,1)\)

\(C(-6,-4)\to C'(-6,4)\)

If a figure is shifting 10 units right, then

\((x,y)\to (x+10,y)\)

Using this we get

\(A'(-1,3)\to A''(-1+10,3)\)

\(A'(-1,3)\to A''(9,3)\)

Similarly,

\(B'(-4,1)\to B''(-4+10,1)\)

\(B'-4,1)\to B''(6,1)\)

And,

\(C'(-6,-4)\to C''(-6+10,4)\)

\(C'(-6,-4)\to C''(4,4)\)

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).

Answer:

3.7%

Step-by-step explanation:

(p)principal=$3400

(t)time=9months=9÷12year=3÷4year

(i)interest=$94.50

(r)rate=?

we have

r%=i/(pt)

r%=94.50÷(3400×3÷4)

r÷100=94.50÷2550

r=0.37×100

r=3.7

required rate is 3/7%

Answer:

1 1/3

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

1/3+4/8+6/18=7/6