Evaluate each expression so the equation is 8b-a and a=4 and b=6

Answer:

Inequality Form:

x<−5 or x>−1

Interval Notation:

(−∞,−5)∪(−1,∞)

Step-by-step explanation:

Hi.

Answer:

[tex]\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

Step-by-step explanation:

[tex](aa=a^2) \left(4x-1\right)\left(4x-1\right)=\left(4x-1\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)\\\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)=\left(3x^2+3x-5\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

Long-division polynomials are algorithms that divide polynomials by polynomials of the same or lower degree. As with the long division method of numbers, the divisor, quotient, dividend, and remainder are all part of the long division of polynomials.

When a divisor has more than one term or is a polynomial with more than one term, the four stages used to divide whole numbers (divide, multiply, subtract, bring down the next term) comprise the repeated operation for polynomial long division.

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9) given.

Simplifying the equation:

(4x² – 11x³ – 13x² +96x+52)

(-11x³ - 9x² + 96x + 52)

Applying Polynomial long division:

(-11x³ - 9x² + 96x + 52)÷ (4x + 9)

                                           [tex]$-\frac{11}{4} x^2+\frac{63}{16} x+\frac{969}{64}$[/tex]

                              (4x + 9)√(-11x³     - 9x²        + 96x       + 52)

                                                -11x³ -(99/4)x²

                                              -------------------------------------

                                                            (63/4)x² + 96x

                                                             (63/4)x²  + (567/16)x

                                                          ----------------------------------

                                                                              (969/16)x     + 52

                                                                               (969/16)x    - 8721/64

                                                                     -------------------------------------------

                                                                                                      - 5393/64

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

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Answer:

17 students

Step-by-step explanation:

140-15=125

125/7.25=17.2....

rounded to 17

Answer:

19/33

Step-by-step explanation:

57 repeating = 0.57

1. x = 0.57

2. mutiply each side by 10² = 100

100x = 57.57...

3. subtract

x = 0.57 from 100x = 57.57...

and get 99x = 57.

4. solve for x

x = 57/99

5. find the GCF of 57 and 99

57 ÷ 3 = 19

---- --- ----

99 ÷ 3 = 33

6. x = 19/33

The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;

3^(2x -3)

= 3^(2x) × 3-³

= (3²)^x × 1/3³

= 9^(x) × 1/27

= 9^(x)/27.

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The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³

Now, according to laws of indices;

3^(2x) = (3²)ˣ

Thus, we now have;

= ((3²)ˣ)/3³

= 9ˣ/3³

= 9ˣ/27

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If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

Given,

The ratio of cars to truck in the parking lot = 5:3

Total number of cars in the parking lot =30

Then, the equation will be

5x=30

x=6

Then,  the number of tucks in the parking lot =3x

3×6=18

Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

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Answer:

The sum will be close to 1/2

Step-by-step explanation:

1/4+2/7=15/28

The common denominator of 1/4 and 2/7 is 28.

1/4 -> 7/28

2/7 -> 8/28

7/28+8/28=15/28

turn that into a decimal and it will round to 0.5257

1/2=0.5

so the answer will be closer to 1/2

Answer:The sum would be close to 1/2

Step-by-step explanation:

Answer:70/100

Step-by-step explanation: 100/100 is 100% so with that logic 70/100 would mean 70%

Answer:

5300

Step-by-step explanation:

Answer:

if it says 2.5 that mean 2 hours and 5 minutes

Answer:

Two hours and 30minutes

Step-by-step explanation:

The equations for modelling the scenario is 8x + 11y = 3100

x + y = 365 (option d)

Given,

Total number of customers at a local mini golf house = 365

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

So,

First equation will be:

x represents the number of children

y represents the number of adults

x + y = 365

Second equation is :

x represents the number of children

y represents the number of adults

Total amount paid by a customer = 3100

The cost for a child per game is = $8

The cost for an adult per game is = $11

8x + 11y = 3100

The equation of the given statement:

8x + 11y = 3100

x + y = 365

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Answer:

option D

Step-by-step explanation: the answer d

The technique that most clearly minimizes the likelihood that any outcome differences between the experimental and control groups is e. random assignment.

A methodology used to divide research participants into two groups—the treatment group, also known as the experimental group, and the control group—by randomization is known as random assignment, also known as random placement.

Every research volunteer has an equal chance of being assigned to any of the groups thanks to this randomization mechanism.

In studies, random assignment is a method used to divide participants into different research groups with similar characteristics so that the groups are equal at the start of the investigation.

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Which technique most clearly minimizes the likelihood that any outcome differences between the experimental and control groups can be attributed to age or personality differences in research participants?

a. the double-blind procedure

b. statistical measurement

c. replication

d. operational definitions

e. random assignment

Answer:

Step-by-step explanation:

just need points dont mind me

Answer:

just flip it

Step-by-step explanation:

Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4).

According to the statement

We have to find that the coordinates after the rotation.

So, For this purpose, we know that the

Rotation means a degree is being moved in clockwise or counterclockwise direction with some angle.

From the given information:

The point is a (0,4)

The rotation is drained 90, 180, 270 degrees.

Given point is:(0,4)

When some extent (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.

So for the given point the coordinates will become (-0,-4)

Then,The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

So, The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

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Answer: y=x

Step-by-step explanation:

[tex]x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y[/tex]

The line that parallel to the line x-y=7 is:

[tex]y=x+b[/tex]

The line that passes through the point P(-1,-1), hence:

[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]

The correct statements regarding the given bar graph are given as follows:

A bar graph shows the number of times that each observation appears in the data-set.

Hence, from this bar graph, we have that the average number of births per day, from Sunday to Saturday.

Births are more common during weekdays, the close to 7000 on Sunday, the maximum is close to 13000 on Tuesdays, hence the correct statements are given as follows:

From the bar graph, the biggest ratio is of 13/7 < 2, hence week day births are not quite twice as common.

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The plane is defined by the equation, x = -3.

To find the equation:

The distance from p(-9, 0, 0) seems to be:

The separation from q(3,0,0) would be:

Let's make them the same size as follows;

Square both sides before simplifying:

Therefore, the plane is defined by the equation, x = -3.

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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)

Answer:

14

Step-by-step explanation:

Im pretty sure its 14

so point A is at -5 which is here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A

and point B is located here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A                                                                                    B

the distance would be:

-5+5= 0      ( the bold numbers are the ones you add together)

then

0+9=9

so 5+9= 14

Answer:

ST = 7.07 units

Step-by-step explanation:

This problem is associated with linear equations. The total price will be 1.07x dollars.

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given,

Leila is buying a replica of a dinosaur.

The model is priced at x dollars, plus she must pay a 7% tax.

7% is shown in decimal form.

= 0.07

Tax price = 0.07 times the model's cost

= 0.07x

Total cost Leila pays for the model by adding the tax price to the model's cost.

Combining the values in the aforementioned

Leila pays the model a total of 0.07x + x.

= 1.07 in currency

As a result, Leila pays a total of 1.07 for the model.

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Using the normal distribution, the percentages are given as follows:

a. 9.18%.

b. 97.72%.

c. 50%.

d. 4.27%.

e. 0.13%.

f. 59.29%.

g. 2.46%.

h. 50%.

i. 50%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 247, \sigma = 60[/tex]

For item a, the proportion is the p-value of Z when X = 167, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when X = 367, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (247 - 247)/60

Z = 0.

Z = 0 has a p-value of 0.5.

1 - 0.5 = 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when X = 67, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is of 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246.

Hence the percentage is of 2.46%.

For items h and i, the distribution is symmetric and the mean and the median are equal, hence both percentages are 50%.

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The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.

A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.

Given the line:

y = x + 6

Compare the equation with

y = mx + c,

m = 1 and c= 6.

As it is given that the new line is perpendicular to the old one, then

the slope of the new line, m' [tex]= -\frac{1}{m} = -\frac{1}{1} = -1[/tex].

As the x-intercept is 6, c' = 6.

So, the equation of the new line is

y = m'x + c'

y = -x + 6

Therefore, the new line is y = -x + 6.

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The complete question is as follows:

What is the equation of the line that is perpendicular to

the given line and has an x-intercept of 6?

y = x + 6

A. y = -x + 8

B. y = -x + 6

C. y = x - 8

D. y = x - 6.

Answer:

x = 50°

Step-by-step explanation:

draw a line through B parallel to the 2 given parallel lines , then

the upper angle at B and 150° are same- side interior angles and sum to 180°

upper angle = 180° - 150° = 30°

the lower angle at B and 160° are same- side interior angles and sum to 180°

lower angle = 180° - 160° = 20°

Then

x = upper angle + lower angle = 30° + 20° = 50°

Answer:

you what do u need help with?

The correct answer is (x,y)=(-1,-2.4)

The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. Every point or an ordered pair comprises two coordinates.

The x coordinate, also known as the abscissa, is the first, and the y coordinate, also known as the ordinate. Any real number, whether positive or negative, can represent the coordinates of a point.

We have given the point

A(-3,-4) and B(2,0)

(x1,y1)=(-3,-4)

(x2,y2)=(2,0)

As P divided line segment AB in the ratio 2 to 3

m/n=2/3

x=(mx2+nx1)/m+n

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

x=4-9/5

x=-5/5

x=-1

y=(my2+ny1)/m+n

y=(2)(0)+(3)(-4)/2+3

y=0-12/5

y=-12/5

y=-2.4

(x,y)=(-1,-2.4)

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84.5