−4(x−3)−1=4−7(x−5) solve for x

Answer:

-4

Step-by-step explanation:

We can use the slope formula: [tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]

this formula is really just representing: [tex]\frac{\Delta y}{\Delta x}\\[/tex] or in other words, change in y/change in x

The slope formula is calculating that difference by subtracting the y and x-values.

By just looking at the tables we can easily see that from x=6 to x=8 there is a change in 2

and from y=-16 to y=-24 there is a change in -8

So plugging this into the slope formula we get [tex]\frac{-8}{2}=-4[/tex]

Answer:

9^7  

Step-by-step explanation:

9 to the 7th power

The patient of 92 kg of weight should be given 73.6  µg of prescribed medication every 12 hours .

It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours

Using unitary method , we get

1 kg of body needs = 0.8 µg of medication

92 kg of body needs = 0.8 × 92

                                    = 73.6  µg of medication

Dose required in 12 hours = 73.6  µg of medication

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The total cost to the company will be $ 6770.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

rental fee = $200

purchase the insurance= $18 per day

According to given question we have

We know that  to purchase the insurance for 1 year.

1 day=  $18

365 days= $18 *365=$ 6570

The total cost to the company will be

=$200+$ 6570

=$ 6770

Therefore, the total cost to the company will be $ 6770.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

(20-[6×3])×7

(20-18)×7

2×7=14

The quotient of the division (4d² + 2d - 3) ÷ (d - 7) is 4d + 30 and remainder is 207.

Dividing one polynomial by the other is very similar to dividing one number by the other.

The steps for dividing polynomials using long method are as follows:

For the given question;

Dividend  = 4d² + 2d - 3

Divisor = d - 7

Divide dividend by divisor.

= ( 4d² + 2d - 3)/(d -3)

The quotient will come as 4d + 30.

Remainder = 207.

Thus,  4d² + 2d - 3 is not completed divisible by d - 3.

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The cost of ordering 26 shirts will be 430.8 dollars.

As the name suggest piecewise a piecewise function behaves differently for different domains or we can say that a function which has different parts.

According to the question given we have to write piecewise functions for ordering custom shirts.

Here y is the cost in dollars and x is the no. of shirts and also given that a 20 dollar processing fee is need for all orders and it is our constant in the function.

For 0 to 24 shirts or when 0<x≤24 and x ∈ N.

f(x) = 17x + 20.

∴Domain of the function is (0,24] and range of the given function is [37,428]

For 25 to 49 shirts or when  25≤x≤29 and x ∈ N.

f(x) = 15.80x + 20.

∴ Domain of this function is [25,49] and range of the function is [415,794.2].

For 50+ shirts or when x≥50 and x ∈ N.

f(x) = 14x + 20.

∴ Domain of this function is [50,∞) and range of this function is [720,∞].      

Now we have to determine the total cost of ordering 26 shirts for this we'll use f(x) = 15.80x + 20 because 26 lies in the domain of this function.

∴ f(x) = 15.80x + 20 for x = 26 it will be

f(26) = 430.8 dollars.

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The area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex.

Given:

The radius of the base= 3 inches.

height  =20 inches

According to given question we have

Since the plane intersects the cone at the midpoint between the vertex A and point B,

The radius of that circle formed from the intersection=1.5 inches.

The area is

A=π[tex]r^{2}[/tex]

A=π[tex](1.5)^{2}[/tex]

A=7.067 inch square

Therefore, the area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

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The option is missing

a) 4.71 inch square

b) 7.07 inch square

c)9.42 inch square

d) 13.24 inch square

Answer:

[tex]\frac{7}{1}[/tex]

Step-by-step explanation:

Answer:

7/1

Step-by-step explanation:

hope this helps♡

Answer:k

Step-by-step explanation:

h

Answer: the answer is 1/16

Answer:15620, 15491, 15096, 15076

Step-by-step explanation:

Given that the sum of the interior angle of a triangle is 180 degrees, the numerical value of x is 4.

In a polygon, an interior angle is one formed by two consecutive sides: that is, the vertex of an interior angle coincides with the vertex of the polygon.

A triangle is a polygon with three edges and three vertices.The sum of interior angle of a polygon is expressed as;

S = ( n - 2) × 180°

Where n is number of side.

Since a triangle has 3 sides, the sum of interior angle of a triangle will be;

( 3 - 2) × 180° = 1 × 180° = 180°

From the diagram;

Since the sum of interior angle of a triangle is:

180° .35° + 60° + ( 22x - 3 )° = 180°

Solve for x

35 + 60 + 22x - 3 = 180

95 + 22x - 3 = 180

92 + 22x = 180

22x = 180 - 92

22x = 88x = 88/22x = 4

The numerical value of x is 4.

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Answer:

8

Step-by-step explanation:

hope i help

Answer:

8 is the gcf

welcome

= 0.45

= 9/20

= (9 x 10)/(20 x 10)

= 90/200

= (1 x 100)/(2 x 100)

= 100/200

= 9/200

= 1.25

= 5/4

= 3/2

= 63/50

Answer:

The unit rate for miles per gallons is 35.6 miles per gallon used by him.  

Step-by-step explanation:

In the given condition he drove 44 and 1/2 miles and used a total of 1 and 1/4 gallons of gasoline.

Now, we have to calculate the number of miles he travelled in each gallon.

So, 44 and 1/2 miles can be written as 44.5 miles.

And 1-1/4 gallons can be written as 1.25 gallons.

Now, we need to form an equation from the above condition;

=> 44.5 = 1.25

=> x = 1 (here, x is the number of miles per gallon)

Now, after cross multiplying the equation;

=> 44.5 × 1 = 1.25 × x

=> 44.5 = 1.25 x

=> 44.5 / 1.25  = x

=> x = 35.6 miles per gallon

Therefore, the unit rate for miles per gallons is 35.6 miles per gallon used by him.  

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The  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

The conditional statement is  A rectangle with 4 congruent sides is a square.

According to given question we have

The conditional statement is given as A rectangle with 4 congruent sides is a square.

The counterexample must satisfy the hypothesis of the conditional statement.

So, '' If a rectangle has 4 congruent sides, then it is a square.''

Therefore, the  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

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Answer: A

Step-by-step explanation:

i took it

Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

Using an exponential function, it is found that 48 new seniors will know the winner of the homecoming king election on the fourth day.

For this problem, we have that:

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

For this problem, the parameters are given as follows:

Hence the number of seniors that know the result on day x is given by:

[tex]y(x) = 3(2)^x[/tex]

On day 4, the amount is:

y = 3 x 2^4 = 3 x 16 = 48.

48 new seniors will know the winner of the homecoming king election on the fourth day.

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Answer:

C. 8x^2-5x+2=0

Step-by-step explanation:

The answer is Option C because it can only be solved by quadratic formula

The slope intercept form is given as  y = 2x + 6

The general expression for slope intercept form is given as:

                   y = mx + c

where, m = slope

             c = intercept

The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :

           [tex](y-y_{1}) = m(x-x_{1})[/tex]      (1)

where ([tex]x_{1} , y_{1})[/tex] = the coordinates of a point

               m = slope of the line

putting the required values in equation (1) we get

            (y - 4) = 2(x- (-1))

            (y - 4) = 2(x+1)   [As (-)*(-) = +]

             y - 4 = 2x + 2

              y = 2x + 2 + 4

              y = 2x + 6

Thus the slope intercept form is y = 2x + 6

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The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: the x-intercepts are 3 and 4

The vertex is the lowest point on the curve

we know that

The equation of a vertical parabola in vertex form is equal to

y = a [tex](x-h)^{2}[/tex] + k

where

(h,k) is the vertex of the parabola

if a>0 -----> then the parabola opens upward (a vertex is a minimum)

if  a<0 -----> then the parabola opens downward (a vertex is a maximum)

In this problem we have

y = [tex]x^{2}[/tex] - 7x +12

a = 1

so

the parabola opens upward (a vertex is a minimum)

Find the x-intercepts of the quadratic equation

Equate the equation to zero

y = [tex]x^{2}[/tex] - 7x +12

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}[/tex] - 7x = -12

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]x^{2}[/tex] - 7x + 12.25 = -12 + 12.25

[tex]x^{2}[/tex] - 7x + 12.25 = 0.25

Rewrite as perfect squares

[tex](x-3.5)^{2}[/tex] = 0.25

square root on both sides

(x - 3.5) = (+/-) 0.5

x =3.5(+/-) 0.5

x = 3.5+0.5=4

x = 3.5-0.5=3

therefore

the x-intercepts are 3 and 4

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a variety of seemingly unrelated mathematical descriptions, all of which may be shown to define the same curves.

One definition of a parabola includes a line and some extent  (the focus) (the directrix). The directrix isn't the main focus. The locus of points therein plane that is equally spaced apart from the directrix and the focus is known as the parabola. A right circular conical surface and a plane parallel to a different plane that is tangential to the conical surface intersect to form a parabola, which is additionally known as a conic section.

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The expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

It should be noted that an expression is used to show the relationship that exists between the variables that are illustrated.

In this case, it should be noted that we wat to know the expression that represents “5 more than the difference of 15 and 7.

This will be:

= (15 - 7) + 5

= 13.

Therefore, the expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

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Answer:

El chapo so that your mean

The equation which can be used to solve for y, the length of the room according to the task content are;

According to the task content, the equations which can be used to solve for y, the length of the room according to the task content is to be determined.

Since the width of the room is 5 feet less than the length of the room.

Therefore, length = y and width = (y -5).

The area of the rectangle is therefore;

y (y -5) = 750

Therefore, the required equations are; 750 - y(y-5) = 0.

Or; y² - 5y = 750.

Or; (y + 25)(y – 30) = 0.

Therefore, the equation which can be used to solve for y, the length of the room according to the task content are;

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The lengths of the 3 parts of the board x,y,z would be 7 inch, 14 inch, and 35 inch.

If 3 pieces of 56 in. board have been cut into the ratio x: y: z,

The second piece y equals 2x and,

The third piece z equals 5x.

Now calculate the value of x:

x + y + z = 56

x + 2x + 5x = 5

8x = 56

x = 7 inches

Then, 2nd piece;

2x = 2(7)

2nd piece = 14 inches.

Now, the 3rd piece;

5x = 5(7)

3rd piece = 35 inches.

As a result, the lengths of the 3 parts x,y,z are 7 inches, 14 inches, and 35 inches, respectively.

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Answer:

  N, Y, N, Y, Y

Step-by-step explanation:

Given 5 scenarios, you want to know which of them involves a proportional relationship.

A relation is proportional if the "output" is zero when the "input" is zero, and the rate of change is constant. The graph of a proportional relationship is a straight line through the origin.

Any relation involving a base cost or flat fee will not be a proportional relationship. The graph of such a relation may be a straight line, but it will not go through the origin.

In the given scenarios, the cost of the pizza has an associated base cost. The cost of the bike rental has a flat fee. Neither of these relations are proportional relations.

The others all have a constant rate of change:

These relationships are proportional.