1.On the accompanying grid, sketch the graphs of y = 2^x and 3y = 7x + 3 over the interval
-3 ≤ x ≤ 4. Identify and state the coordinates of all points of intersection.

According to the solving the lengths of right angle triangle using Pythagorean theorem x = 6, y = 3

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

The following is one way to perform the calculation. It may not be the best way.

c = b/cos(α)

= 6

a = √c2 - b2

= √62 - 5.192

= √9.0639

= 3.01063

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Answer:

I think it’s D

Step-by-step explanation:

trust

Answer:

[tex]\bf x+23=64[/tex]

Step-by-step explanation:

you can try x+23=64

Let's solve it:-

[tex]\sf x+23=64[/tex]

Subtract 23 from both sides:-

[tex]\sf x+23-23=64-23[/tex]

[tex]\bf x=41[/tex]

__________________

Hope this's what you're looking for!

Have a great day!

Answer:

How about this:

290 / 8 * 2 - 31.5

Step-by-step explanation:

I dunno if that's hard enough, but there you go!

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

Step-by-step explanation:

it depends on where each point is on each chart because they can't be blank

Answer:

The expression is a mathematical representation of an algebraic problem. The final form of the expression would be 75y -5 after combining like terms.

Here's the breakdown of the steps:

125y - 5 - 50y = (125-50)y -5 = 75y - 5

So the final simplified form of the expression is 75y -5.

The correct equation of exponential function is  [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

What is an exponential function?

An exponential function is one that has the formula f (x) = [tex]a^{x}[/tex], where x is a variable and a constant that serves as the function's base and must be greater than 0.

Given,

         starting value = 6

          constant ratio = 1/3

The general form of an exponential function

                [tex]f(x) = ab^{x}[/tex]

      where a = starting value i.e when x = 0

                  b = rate of change in exponential equation

  So substituting our given values in the above equation, the exponential function is

           [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

Now the value 6 can be divided by 3 only if the value of x = 1

          [tex]f(1) =\frac{6}{3} = 2[/tex]

If x = 5, then equation becomes,

          [tex]f(5) = 6 * (\frac{1}{3} )^5 = \frac{2}{81}[/tex]

So we cannot simply divide 6 by 3 without considering the value of x.

Therefore the correct equation of exponential function is

           [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

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The annual sales is 322,511.6 in 4 years.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Record sales are increasing by 6% each year.

And, 260,090 records were sold this year.

Now, We have;

Record sales are increasing by 6% each year.

Hence, After 4 years;

The annual sales = 260,090 + 4 × 6% of 260,090

                           = 260,090 + 4 × 6/100 × 260,090

                           = 260,090 + 62,421.6

                           = 322,511.6

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Answer:328,358

Step-by-step explanation:

Therefore , the solution of the given problem of surface area comes out to be area of the shaded area equals 50.

The surface area of an object is an estimate of the entire amount of space it takes up. A three-dimensional shape surface area refers to the entire area surrounding it. The overall area of a muti shape is its surface area. The surface area of a cuboid can be calculated by adding the faces of each of its six rectangular sides. The following equation could be used to name the box's dimensions: Surface (SA) equals 2lh, 2lw, and 2hw. The surface area of a three-dimensional shape represents the overall area.

Here,

Square has an area of 100 a 2 = 100 a=10

QC=(1/2) AC=10/2=5,

BR=(1/2), and BD=10/2=5.

CD=AB=10=AC=BD

size of the triangle QCD is defined as: =(1/2)QCCD

= >(1/2)510=25.

size of the triangle ABR is =(1/2) ×AB×BR

=>( 1/2 ) ×10×5=25

Area of the darkened area equals area of square 2 area of triangles,

which is 100 (25+25)=50.

Area of the shaded area equals 50.

Therefore , the solution of the given problem of surface area comes out to be area of the shaded area equals 50.

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The way to determine x, which is the price per pound of the grapes is B. Subtract 5.28 from 7.32 and then divide the difference by 2.4.

To find the price per pound of the grapes, you first needed to find the price of the grapes alone, without the cost of the watermelons.

This price of the grapes can be found by the formula :

= Total cost of fruit - Cost of watermelon

= 7. 32 - 5. 28

= $ 2. 04

Then, you can find the cost of each pound of grapes by the formula :

= Cost of grapes / Pounds of grapes purchased

= 2. 04 / 2 . 40

= $ 0. 85

In summary, you can find the price per pound of the grapes when you Subtract 5.28 from 7.32 and then divide the difference by 2.4.

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The full question is:

Zara bought 2.4 pounds of grapes and a watermelon that cost $5.28. The total cost of the fruit was $7.32. Which describes a way to determine x, the price per pound for the grapes?

Answer: Each chicken wing costs $2.30 ✅

Step-by-step explanation:

To find out how much each wing cost, we need to divide the total cost of the wings by the number of wings.

We can use the formula:

Cost per item = Total cost / Number of items

In this case:

Cost per wing = $16.10 / 7 wings

To find the cost of each wing we divide 16.10 by 7.

$16.10/7 = $2.30

Each chicken wing costs $2.30

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Answer:

[tex]\huge\boxed{\sf \$ 2.3}[/tex]

Step-by-step explanation:

Given that,

7 chicken wings = $16.10

Divide both sides by 7

1 chicken wing = $16.10/7

[tex]\rule[225]{225}{2}[/tex]

The scale factor in the image depicting a similar triangle is solved to be

The term similar triangles as used in geometry means that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence when the size of the triangles are in equal proportions and the size of the angles are equal then the triangles are said to be similar triangles

Examining the figure shows the scale factor is sought as follows

using side 28

let the scale factor form smaller to larger be k

k = length of larger side / length of smaller side

k = 28 / (28 - 8)

k = 28 / 20

k =1.4

The scale factor is 1.4

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The statement "She did not visit France and she did not visit Italy" using De Morgan's laws will be C. She did not cost France if a only if she did not visit Italy.

The complement of the product of all terms is equal to the complement of each term added together. Similarly, the product of the complements of each term equals the complement of the sum of all the terms.

The intersection of their complements is the complement of the union of two sets, and the union of their complements is the complement of the intersection of two sets.

In conclusion, the correct option is C.

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Answer: The graph that represents a function is the parabola that opens to the left.

This can be determined by the following characteristics of the graph:

It is a parabola because it opens to the left and has a vertex on the y-axis.

It crosses the y-axis at (0, 3) and (0, negative 3), which means that it is symmetric about the y-axis, and also it crosses the x-axis at (9, 0) which means that it is a function.

A circle is not a function because, for any value of x, there are two different values of y that can be plotted on the graph (i.e. the point (5,0) and (-5,0) produce two different y values)

A straight line with a positive slope is not a function because, for any value of x, there is only one value of y that can be plotted on the graph.

So the parabola is the graph that represents a function.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

The equivalent expression of 2/5(s+20) is 2/5s+8 and expression (9+3)=12.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, nected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between which math, there are two types of expressions, numerical  expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression 2/5(s + 20)

Using distributive property

2/5s+2/5*20

2/5s+2*4

2/5s+8

and (9+3)=12

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Right question:-

Use the distributive property to write an equivalent expression for 2/5(s + 20). Then evaluate the expression (9+3).

Answer:

x² + y² - 4x - 6y - 3 = 0

Step-by-step explanation:

Formula for equation of circle when the radius r and centre (a,b) is given:

(x-a)² + (y-b)² = r²

(x-2)² + (y-3)² = 4²

Expanding the brackets;

x² - 4x + 4 + y² - 6x + 9 = 16

x² + y² - 4x - 6x + 4 + 9 = 16

x² + y² - 4x - 6x + 13 = 16

x² + y² - 4x - 6x + 13 - 16 = 0

x² + y² - 4x - 6x - 3 = 0 Ans.

The height of the triangle is 19.36cm.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having precisely two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here, we have

Given:  An isosceles triangle has congruent sides of 20 cm. The base is 12 cm.

An isosceles triangle has two congruent sides. The height of an isosceles triangle is also the median and the perpendicular bisector of the triangle dividing the base in half and forming two congruent right triangles.

we use the Pythagorean theorem to solve for the triangle's height.

a² + b² = c²

5² + h² = 20²

h² = 400 - 25

h² = 375

h  = 19.36cm

Hence, the height of the triangle is 19.36cm.

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Answer:

17

Step-by-step explanation:

fhxc. t thug g h y yxhxg yxtzt

Answer:

6

Step-by-step explanation:

f(x)=2x-8

f(7)=2(7)-8

f(7)=6

Answer:

Step-by-step explanation:

f(7)=2x-8
f(7) = (2)(7)-8

f(7) = 14-8
f(7) = 6

Answer:

30miles

Step-by-step explanation:

As you can see in the graph, the distance between tim and jan is creating 2 right triangles

You can solve this using pythagoras theorem,

Triangle (1) :

[tex] x^{2} = {5}^{2} + {12}^{2} \\ {x} = \sqrt{{5}^{2} + {12}^{2} } \\ = \sqrt{169 } \\ = 13[/tex]

X (1) = 13 miles

Triangle (2):

[tex] {x}^{2} = {15}^{2} + {8}^{2} \\ x = \sqrt{ {8}^{2} + {15}^{2} } \\ = \sqrt{289} \\ = 17 [/tex]

X(2) = 17 miles

Now, the distance = x(1) + x(2)

= 13 + 17

=30 miles

Therefore, Tim and Jan are 30 miles apart

Answer:

rawr :)

Step-by-step explanation:

Answer: 12, 16, 20, and 320.

Step-by-step explanation:

The value of x can be solved as follows, take note of the numbers you will need to drag to complete the equations:

4x + 12x = 320 (segment addition postulate)

16x = 320 (combining like terms)

x = 20 (dividing both sides by 16)

We would end up with the value of x, which equals 20.

Numbers that we end up using are: 12, 16, 20, and 320.

The equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

The expression for this problem is defined as follows:

(2/x)².

We have a fraction that is squared, meaning that both the numerator and the denominator are squared, hence:

This means that the equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

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Answer: (8*10) + (8*7)

Step-by-step explanation: This would be distributing the 8 to both numbers while still adding the two products

Answer: 136

Step-by-step explanation:

When you do distributive Property, you are multiplying everything right before the parenthesis, with everything inside the parenthesis.

8 x (10 + 7)

1. Multiply 8 by 10 to get 80

2. Multiply 8 by 7 to get 56

Now you have: (80 + 56)

3. Add the numbers

80 + 56 = 136

Answer:

The lowest temperature recorded is the furthest away from the average norm by 41.9 degrees.

Step-by-step explanation:

115-98.6= 16.4

98.6-56.7= 41.9