Write the decimal as a percent.
2.92 =__%

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

Substitute -1 in place of y in the equation:

\(3x -4(-1)=11\\3x=7\\x=\frac{7}{3}\)

Answer:

(7/3, -1)

Step-by-step explanation:

3x -4y=11

Let y = -1

3x -4(-1) = 11

3x +4 =11

Subtract 4 from each side

3x+4-4 = 11-4

3x = 7

Divide each side by 3

3x/3 = 7/3

x = 7/3

Answer:$7319.3 should be deposited today in an account so that it will accumulate to $8000 in three years.

Option A.

Step-by-step explanation:

we have

Simplify the right side of the equation

we know that

so

The expression is

therefore

x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

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the total for parking and an admission ticket

Step-by-step explanation:

$7319.3 should be deposited today in an account so that it will accumulate to $8000 in three years.

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

a) 6.00

b) 3.00

c) 1.50

Step-by-step explanation:

Sample error of the mean is expressed mathematically using the formula;

SE = σ /√n where;

σ  is the standard deviation and n is the sample size.

a) Given σ = 18, n = 9

Standard error of the mean = σ /√n

Standard error of the mean = 18/√9

Standard error of the mean = 18/3

Standard error of the mean = 6.00

b) Given σ = 18, n = 36

Standard error of the mean = σ /√n

Standard error of the mean = 18/√36

Standard error of the mean = 18/6

Standard error of the mean = 3.00

c) Given σ = 18, n = 144

Standard error of the mean = σ /√n

Standard error of the mean = 18/√144

Standard error of the mean = 18/12

Standard error of the mean = 3/2

Standard error of the mean = 1.50

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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b'

Let the given points be A(3,-5) and B(5,-1).

AB= sqrt of (5−3) ² +(−1+5)²

= sqrt of 4+16

= sqrt of 20

=2 sqrt of 5 units

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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We have the next inequality

we need to clear x because we have a negative number the sign of the inequality will change

as we can see the mistake was option c.

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer: Go to a website called desmos and type in the equations to see

Answer:

Parallel

Step-by-step explanation:

Move all the terms so that both equations look like y = mx +b

-3x = 3 - y

y = 3x + 3

3 + y = 3x - 2

y = 3x - 2 - 3

y = 3x - 5

They have the same slope, but not the same y-intercept, so they are parallel

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

hope this helps.

The key features of the function g(x) = 4(x² - 8x - 9) are:

y-intercept: (0, -84)

Zeros: x = -1 and x = 9

Vertex: (4, -100)

What is the polynomial function  

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

To identify the key features of the function g(x) = 4(x² - 8x - 9), we need to manipulate the function and convert it to vertex form, which is y = a(x - h)² + k.

First, we expand the function:

g(x) = 4x² - 32x - 36

Next, we factor out the 4:

g(x) = 4(x² - 8x - 9)

To complete the square, we add and subtract (8/2)² = 16:

g(x) = 4(x² - 8x + 16 - 16 - 9)

g(x) = 4[(x - 4)² - 25]

g(x) = 4(x - 4)² - 100

Now we can identify the key features of the function:

The y-intercept of g(x) is found by setting x = 0:

g(0) = 4(0 - 4)² - 100 = -84

So the y-intercept is (0, -84).

The zeros of g(x) are found by setting y = 0 and solving for x:

4(x - 4)² - 100 = 0

4(x - 4)² = 100

(x - 4)² = 25

x - 4 = ±5

x = 4 ± 5

So the zeros of g(x) are x = -1 and x = 9.

The vertex of g(x) is (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

In this case, the vertex is (4, -100), which we found by completing the square.

Therefore, the key features of the function g(x) = 4(x² - 8x - 9) are:

y-intercept: (0, -84)

Zeros: x = -1 and x = 9

Vertex: (4, -100)

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Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Check the picture below.

Answer:

-3(3y-1)

Step-by-step explanation:

−9y−3

Factor out 3.

3(−3y−1)

Rearrange Terms.

-3(3y-1)

Answer:

c. add 2 to each side

Step-by-step explanation:

9m-2=16

you want m by itself so the first step is to add 2 to each side of the equation

QR = 12 + x - 2

Now find x, using

QO •OR = NO• OP

then

12 • (x-2) = 3• (3x -1 )

Solve parenthesis using a(b+c ) = ab + ac

12x - 24 = 9x - 3

12x - 9x = 24 - 3

So then

x = (24-3)/(12-9)

. = 21/3

. = 7

Then now use x, to find QR

QR = 12 + x - 2

. = 12 + 7 - 2

. = 17

Then ANSWER IS

OPTION A) 17