help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

y = -7/4x + 22

Step-by-step explanation:

linear equation: y = mx +c, where m is the slope

when a line is parallel to another line, it means they have same slope

so the line slope, m = -7/4

now you need to find c to complete the equation

you have x,y information

replace that into linear equation together with slope value

8 = (-7/4)8 + c

8 = -14 + c

8+14 = c

c = 22

substitute m,c into the equation, you get

y = -7/4x + 22

Answer:

1 and three-fifth or 1.6

According to definition of dilation and the characteristics of the geometrical system in the picture, we find that the misssing side has a length of 25 units. (Correct choice: C)

The figure shows a geometrical system of two proportional right triangles generated about the point C, in which two pairs of sides related to the same side ratio for a dilation. Mathematically speaking, a dilation is defined by the following expression:

k = AB / A'B'

Where:

The ratio formula associated to the figure is shown below:

y / 35 = 15 / 21

y = (15 / 21) · 35

y = 25

The missing length is equal to 25.

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Answer:

The larger number is 33

Step-by-step explanation:

Writing and solving a system of equations

Let x and y be the numbers

sum of two numbers is 38

x+y = 38

their product is 165

xy = 165

x = 38-y

Substitute this into xy =165

(38-y) * y = 165

38y - y^2 = 165

-y^2 + 38y -165 = 0

Multiply by -1

y^2 - 38y + 165 =0

Factor

( y-33) ( y-5) = 0

Using the zero product property

y -33 =0  y-5 =0

y =33        y=5

Now we can find x for each solution

x = 38-33 =5           x = 38-5 = 33

The two numbers are 33 and 5

The larger number is 33

The absolute value function is given below as

Concept: We will have to explain what is meant by an odd function, even function, or neither

Even function: A function is said to be even if it has the equality below

is true for all x from the domain of definition.

An even function will provide an identical image for opposite values.

Odd function:A function is odd if it has the equality below

is true for all x from the domain of definition.

An odd function will provide an opposite image for opposite values.

Neither: A function is neither odd nor even if neither of the above two qualities is true, that is to say:

Given that

Also,

Therefore,

We can conclude that f(x) = |x+2| is NEITHER an even nor a odd function

The point of maxima of any function can be known by equating its derivative to zero. The rocket will take 1.5 sec to reach the maximum height and the maximum height is 27 feet.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as g'(x) = (g(x + h) - g(x)) /(x + h - x).

Its geometric aspect is the slope of the function at a given point.

Given that,

Initial height of the launching pad is 4 feet,

Initial velocity of rocket is 48 feet/sec,

Height of the rocket as a function of time, h(t) = -16t² + 48t + 3

In order to find the time for maximum height equate h'(t) = 0 as follows,

-32t + 48 = 0

⇒ t = 48 / 32

⇒ t = 3 / 2

⇒ t = 1.5

To find the maximum height find h(t) for t = 1.5 as follows,

h(1.5) = -16 × 1.5² + 48 × 1.5 + 3

= -36 + 60 + 3

= -36 + 63

= 27

Hence, the time taken by the rocket to reach the maximum height is 1.5 sec and the maximum height reached is 27 feet.

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Answer: for this problem. What we're going to do essentially, this is an exercise of using the formula for finding the derivative of the inverse of a function. So we have the derivative of the inverse of F would be equal to one over the derivative of F. So F prime evaluated at f inverse of X. So in this case we have X equals three. So F inverse of three, prime will be equal to one over F prime evaluated at f inverse of three. Now, looking at the table of values that you have, well, F inverse of three is going to be the X value such that X equals, or the the X values such that F equals three. So we can see that F equals three when X equals negative one. So we have one over F prime evaluated at negative one and F prime of negative one, we can see it is equal to one. So we'd have won over one or just one is the final answer.

Step-by-step explanation:

The amount of spending money you will have each week is $54.17 .

You make  $75.00 a week at your job and want to save $250.00 over 3 months, saving an equal amount each week.

The amount of spending money available each week can be calculated as follows:

Therefore,

3 months = 12 weeks

let

x  = amount saved every week.

Therefore,

12x = 250

x = 250 / 12

x = 20.83 dollars

Hence,

Amount  of spending money each week = 75 - 20.83

Amount  of spending money each week = $54.17

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Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

We have the points:

p(0,-4) & q(3,2)

then, our directional vector will be:

pq(3,6)

now we have the equation of the line that we need to be parallel with:

(x,y)=(0,-4)+t(3,6)

We get (3,6) as follows:

we determine the directonal vector using the two point given:

p(0,-4) & q(3,2)

pq(3-0,2+4) =>pq=(3,6)

Now, the point of the line that is parallel to the one we got is: (-2,6):

Since a condition for being parallel is that the directional vector from one line is a product of the other, then:

(x,y) = (-2,6) + t(6,12)

As can be seen, the directional vector is parallel to the one found before (one is multiple of the other)

As for before, the equation of the line that passes by the point (-2,6) and is parallel to the line (x,y) = (0,-4) + t(3,6) is:

The quadratic equation y = x² - 3 · x + 6 fits the points (0, 6), (2, 4) and (3, 6).

Herein we find a set of three points that fits in a quadratic equation, that is, a polynomial of the form y = a · x² + b · x + c, where a, b, c are real coefficients. It is possible to find a quadratic equation as the number of points is equal to the numbers of real coefficients.

First, obtain the system of linear equations by substituting the values of x and y on each case:

(x, y) = (0, 6)

a · 0² + b · 0 + c = 6

c = 6

(x, y) = (2, 4)

a · 2² + b · 2 + c = 4

4 · a + 2 · b + c = 4

(x, y) = (3, 6)

a · 3² + b · 3 + c = 6

9 · a + 3 · b + c = 6

Second, solve the system of linear equations by numerical methods:

(a, b, c) = (1, - 3, 6)

Third, write the resulting quadratic equation:

y = x² - 3 · x + 6

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Answer: You must put the highest exponent of the variable first, and then proceed in descending order.

Step-by-step explanation:

This is done to keep track of the powers much easier and also just looks nicer. ^^

Answer:

Width = 5.7 ft, Length = 10.5 ft

Step-by-step explanation:

Let the width be [tex]w[/tex]. Then, the length is [tex]2w-0.9[/tex].

[tex]w(2w-0.9)=59.85 \\ \\ 10w(20w-9)=5985 \\ \\ 200w^2-90w-5985=0 \\ \\ 40w^2-18w-1197=0 \\ \\ (4w+21)(10w-57)=0 \\ \\ w=5.7 (w>0) \\ \\ \implies 2w-0.9=2(5.7)-0.9=10.5[/tex]

Answer:Y+2x=10

Step-by-step explanation:

Answer:

2x+y=10

Step-by-step explanation:

The standard form is x+y=#

y=-2x+10

flip it around:

10-2x=y

add 2x

10=2x+y

2x+y=10

Answer:

The purpose of the vertical line test is to determine if the function is in fact a function. (Option C)

Explanation:

Once a vertical line is drawn to every part of the function and it only hit one point on the graph, then it is a function. For example,

If the vertical line hits two points or more on the graph, then the graph is not a function. For example, a circle is not a function.

We know that the linear model:

To determine the cost for a given mileage we just need to plug the later in the equation; in this case we know that m=16, then we have:

Therefore, it cost $34.20 to travel sixteen miles.

There are 2 options to get the same number, they choose 6 from both lists or they choose 8 from both lists.

Then, the probability to select 6 from the first list is:

Because we have 4 options ( 2, 4, 6, 8) and 1 of then is number 6. At the same way, the probability to select 6 from the second list is:

Because there are 3 numbers and one of them is 6.

Finally, the probability to choose 6 from both lists is the multiplication of the probabilities above, so:

We can also calculate the probability to choose 8 from both lists as:

Because 1/4 is the probability to choose 8 from the first list and 1/3 is the probability to select 8 from the second list.

Therefore, the probability that both numbers are the same is the sum of the probability to choose 6 from both lists and the probability to choose 8 form both lists.

Answer: b. 1/6

We need to calculate the 8% of $45

The total charge will be

ANSWER

The total charge is $48.60

Answer:

y + 3 = - (x - 3)

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 )

y = x + 4 ← is in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{1}[/tex] = - 1

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 1 and (a, b ) = (3, - 3 ) , then

y - (- 3) = - 1 (x - 3) , that is

y + 3 = - (x - 3)

Let's draw a diagram of this problem:

This triangle can be seen as follows:

We can use the Law of Cosines to find the length of side c, since we know the measure of angle C:

In our case:

Taking the square root of both sides we get:

which, using a calculator or online resource to calculate the right side of the equation will give us:

To the nearest yard, A and B are 101 yards apart, so option A. is correct.

Given the equation

Subtract 3 from both sides

Divide both sides by 3

Raise both sides to power 5 to remove the 5th root on the left hand side

Take the cube root of both sides

Subtract 2 from both sides

x + 2 = 32

x = 32 - 2

x = 30

The solution to the equation is x = 30

Answer:

Below

Step-by-step explanation:

Anta = x      sister = x+3      <======given in the question

x * x+3 = 1404

x^2 + 3x - 1404 = 0     Use quadratic formula with a = 1     b= 3     c = -1404

     to find x = 36      and sister =   36 + 3 =  39 y/o

Martin's commission earning is $2552.16

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, Martin receives a straight commission of 8% on food sales for the month,

31,902*8/100 = 2552.16

Hence, Martin's commission earning is $2552.16

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The function f(x) and g(x) is given as follows:

The composite function is defined as:

Replace x with g(x) in the expression given for f(x):

Substitute g(x)=2x-1 into the right-hand side of the equation:

Recall that,

Notice that the composite function is a polynomial function of degree one (linear).

Recall also, that the domain of all polynomial functions is the set of real numbers.

Hence, the domain of the composite function (fog)(x) is the set of real numbers.

The set of real numbers in interval form is:

The answer is:

Answer:

(C)4.125 seconds

Explanation:

The quadratic function modeling the rocket's movement is:

To determine the number of seconds it takes the rocket to reach its maximum height, we are being asked to find the equation of the line of symmetry.

For a quadratic function of the form y=ax²+bx+c, the equation of the line of symmetry is:

In the given equation:

a = -16, b = 132

Therefore:

It takes the rocket 4.125 seconds to reach its maximum height.

The total cost price of the basket is $22.

What is Discount ?

 The discount is determined by dividing the purchase price by the item's par value. The discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate.

Here ,

Original cost price of the basket = $40

After 50% offer the cost price of the bag is,

=> 40- 50% of 40

=> 40 - 20

=> $20.

Now the sales tax is 10% then,

=> 20+ 10% of 20

=> 20+ 2

=>$22

Therefore the total cost is $22 after discount.

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Answer:  the first one is yes and the second one is no

Step-by-step explanation: that’s the answer i took the test

Step 1: Write out the formula for finding the area of a rhombus

Step 2: Substitute the given values to find AC

Therefore,

The rate of conversion between pounds and ounces is shown as;

16 ounces = 1 pound

Then you have a digital scale that measures weight in ounces. If you put an object that weighs "exactly 1 pound" on the digital scale, its supposed to display 16 ounces.

However the scale has been described as "not accurate," which implies that the calibration (fine tuning) has been altered either accidentally or on purpose. This also implies that the result would not be 100 percent correct, but it might be a little over or below 16 ounces. Hence the scale might display what in mathematics is termed as "plus or minus" and is denoted by the sign ±

The scale therefore might display 15 ounces or 17 ounces (that is ± 16)

±

Value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

As given in the question,

Given expression is equal to :

8.2 x 19

Apply compensation method to make the calculation easily and get the value of the given expression we have,

8.2 x 19

Rewrite 19 as ( 20 -1 ) we get,

= 8.2 × ( 20 - 1 )

Apply distributive law multiplication over subtraction we get,

= ( 8.2 × 20 ) - ( 8.2 × 1 )

= 164.0 - 8.2

= 155.8

Therefore, value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

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