If (-4,32) and (7,-45) are two anchor points on the trend line, then find the equation of the line.

Answer:

Infinitely many

8

Step-by-step explanation:

First, you subtract by 4s both sides of equation.

4s+8-4s=3+5+4s-4s

Then, simplify.

8=3+5

Same thing like order of operations.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Add the numbers from left to right.

3+5=8

8=8 is true

8 is the correct answer.

Infinitely many is the correct answer.

The given equation has no solution.

As the given equation is:

[tex]4s+8=3+5+4s\\[/tex]

So, if we simplify we get;

[tex]8=3+5+4s-4s[/tex] (subtracting 4s from both sides of the equation)

Now, on adding we get;

[tex]8=8[/tex]

So, LHS=RHS.

Therefore, there is no variable for which we can find the solution.

Hence option(b) none is the correct answer

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. Many professionals use equations every day, including air traffic controllers, architects, computer programmers and carpenters.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

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Answer:

The answer for this question is B (10) I have shown a step by step explaination for you to understand how I got this answer

Step-by-step explanation:

4x-2=x+28

-x -x

3x-2=28

+2 +2

3x=30

3x/3 = 30/3

x=10

The value of x for which DEFG must be a parallelogram is Option(B) 10 .

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

As we know that for a parallelogram, the opposite adjacent sides are always parallel and equal in length.

Therefore, for DEFG to be a parallelogram, the sides DH and FH must be equal in length.

We have,  DH = FH

⇒ 4x - 2 = x + 28

⇒ 3x = 30

∴  x = 10

Thus, the value of x for which DEFG must be a parallelogram is Option(B) 10 .

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Answer:

1120

Step-by-step explanation:

8/50=x/7000

50x=56000

Divide 50 on both sides

1120

Answer:

1120

Step-by-step explanation:

8/50=x/7000

50x=56000

Divide 50 on both sides

1120

Answer:

[tex]\frac{83}{186}[/tex]

Step-by-step explanation:

In probability, "OR" means "+" and "AND" means "*".

The total amount of people is:

32 + 54 + 78 + 112 + 96 = 372

Number of diabetic patients are 54

Number of eye patients are 112

Since we want "OR", we will add the two probabilities:

P(diabetic or eye problem) = 54/372 + 112/372 = 83/186

[tex]|\Omega|=2^2=4[/tex]

1.

[tex]|A|=2\\P(A)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

2.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

3.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

Answer:

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

[tex]2x^{2} +5x-9=2x[/tex]

we know that

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2x^{2}+5x-2x-9=0[/tex]

[tex]2x^{2}+3x-9=0[/tex]

so

[tex]a=2\\b=3\\c=-9[/tex]

substitute in the formula

[tex]x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}[/tex]

[tex]x=\frac{-3(+/-)\sqrt{81}} {4}[/tex]

[tex]x=\frac{-3(+/-)9} {4}[/tex]

[tex]x=\frac{-3(+)9} {4}=1.5[/tex]

[tex]x=\frac{-3(-)9} {4}=-3[/tex]

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

[tex]-3(5y-4)\geq 17[/tex]

Solve for y

[tex]-15y+12\geq 17[/tex]

Subtract 12 both sides

[tex]-15y\geq 17-12[/tex]

[tex]-15y\geq 5[/tex]

Multiply by -1 both sides

[tex]15y\leq -5[/tex]

Divide by 15 both sides

[tex]y\leq -1/3[/tex]

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

Answer:

5 sports

Step-by-step explanation:

To find the number of sports, take the total number of kids and divide by the number of teams

625/125 = 5

There are 5 sports

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to find the number of sports were there, we have to divide!}[/tex]

[tex]\bullet\ \text{625 kids play sports}[/tex]

[tex]\bullet\ \text{125 kids on each team}[/tex]

[tex]\text{625 will be our numerator (or front number)}[/tex]

[tex]\text{125 will be our denominator (or back number)}[/tex]

[tex]\dfrac{625}{125}=625\div125=5[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer:5}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

Step-by-step explanation:

[tex]\text{The slope}[/tex]

[tex]m=\dfrac{rise}{run}[/tex]

[tex]rise=-4\\\\run=-1[/tex]

[tex]m=\dfrac{-4}{-1}=4[/tex]

The required slope of the graph exists 4.

The graph exists in a straight line.

The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]$m=\frac{d-b}{c-a} .$$[/tex]

Therefore, the slope of the given line is

[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$$[/tex]

[tex]$&\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]

[tex]$&\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$$[/tex]

[tex]$\Rightarrow m=4 \text {. }$$[/tex]

The required slope of the graph exists 4.

Therefore, the correct answer is option D. 4

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Answer:

-4 or A

Step-by-step explanation:

If x was -4 then you would be dividing by zero and it would not be possible.

Answer:

False.

Because Only one circle can be circumscribed about a given triangle.

Final answer:

The statement that many triangular shapes can be circumscribed about a given circle is true, as an infinite number of triangles can be formed by connecting any three distinct points on the circumference of the circle.

Explanation:

The statement "Many triangular shapes can be circumscribed about a given circle" is true. By definition, a circumscribed triangle is one that surrounds a circle, touching the circle exactly at its perimeter at three points.

Given a circle, you can indeed construct infinite triangles that circumscribe the circle, as for any set of three points on the circumference of the circle, a unique triangle can be formed.

In mathematical terms, three points determine one of these curves; that is, through any three points not in a straight line on a circle's circumference, we can draw a unique triangle which will circumscribe the circle.

Since there are an infinite number of points on a circle's circumference, we can choose an infinite number of triplets of points, each producing a different circumscribed triangle.

Plug values in function.

f(3) = 0.01(2)(3)

f(3) = 0.06

f(5) = 0.01(2)(5)

f(5) = 0.10

Average rate of change formula: f(b) - f(a) / b - a

Plug in.

0.10 - 0.06 / 5 - 3 = 0.04 / 2 = 0.02

Average rate of change: 0.02

Answer:

The Average rate of change: 0.02

Step-by-step explanation:

Great Question, First to be able to figure out the average rate of change for the function we need to plug each value for x given into the function and get an output value

[tex]f(3) = 0.01(2)(3)[/tex]

[tex]f(3) = 0.06[/tex]

[tex]f(15) = 0.01(2)(15)[/tex]

[tex]f(15) = 0.3[/tex]

Now that we have both outputs for the values of x given to us in the question, we can use the rate of change formula from the picture below to find the Rate of Change of these two values of x.

[tex]\frac{0.3-0.06}{15-3} = r[/tex]

[tex]\frac{0.24}{12} = r[/tex]

[tex]0.02 = r[/tex]

So Now we see that The Average rate of change: 0.02

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

y=ln(x/(1-x))

Step-by-step explanation:

y=e^x/(1+e^x)

Cross multiply

y(1+e^x)=e^x

Distribute

y+ye^x=e^x

Put anything with x on with side and everything without x on opposing side:

y=e^x-ye^x

Factor right hand side

y=(1-y)e^x

Divide both sides by (1-y)

y/(1-y)=e^x

Use natural log.

ln(y/(1-y))=x

The inverse is

y=ln(x/(1-x))

Well going off what I know (you don't have the equations up)

You have to isolate x

3/4x = 6

(4) 3/4x = 6 *multiplying by 4 cancels the fraction.

3x = 24

Divide by 3

X = 6

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Let multiply each side by 4/3:

[tex]\frac{4}{3}\cdot \frac{3}{4} \cdot x = 6\cdot \frac{4}{3}[/tex]

[tex]x = 8[/tex]

Since 25% of something is also 1/4 of something, multiply 25% by 4 to get the full value.

Since 75 is 25 percent, multiply 75 by 4.

75*4=300

The value is 300.

Hope this helps!

Answer:

( A )

Step-by-step explanation:

To solve this problem you must apply the procedure shown below:

1. You have the following equation given above:

2. The negative four will pass as a positive four to the right member.

3. Te sum of 7 and 4 will be divided by , as following:

Answer:

Step-by-step explanation:

The given equation is :

Cx-4=7.

To solve for x we isolate the x term .

Adding 4 both sides:

Cx=7+4

Cx=11

To x term C is multiplied ,performing  the opposite operation that is dividing both sides by C we have :

x=[tex]\frac{11}{C}[/tex]

The most appropriate description ascribed to the meaning of definition from the options given is ; A precise statement of the qualities of an idea, object or process.

Therefore, since the definition ascribed to a process or phenomenon as to be original and precise, then the most appropriate statement is the option C.

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Answer:

120

Step-by-step explanation:

Evaluate the expression by substituting the given values into it

4(6 + 24) = 4 × 30 = 120

Answer:

$6.88

Step-by-step explanation:

We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.

To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.

5.99 x 12 = 71.88

The other option is to just pay $65 dollars for a whole year (12 months).

Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88

Chris will save $6.88 by paying for the whole year instead of purchasing for each month.

Answer:

you just need memorize some of the side lengths of right triangle, or you can use this formula to calculate: a^2 + b^2 = c^2

For example, you need memoreize this group of side lengths of right triangle: 3 , 4 , 5

and in your options, there is a group is same as 3, 4 , 5 but it's 8 times bigger.

The answer is:

D. 24, 32, 40

Answer:

D.

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides will equal the square of the longest side.

The law to observe here is the Pythagorean theorem where;

[tex]a^2+b^2=c^2\\[/tex]

where a and b are the two shorter sides where as c is the longest side/hypothenuse

In this question the last option is correct.How?

Lets take a=24 and b=32, what is c?

You apply;

[tex]a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=\sqrt{1600} =40[/tex]

Hence option D is correct where ;

[tex]24^2+32^2=40^2[/tex]

Answer:

52.8

Step-by-step explanation:

First we need to find 12% of 60

12% * 60

.12 * 60

7.2

We want less than which means subtract

60-7.2

52.8

Answer:

34/13

Step-by-step explanation:

The length-to-width ratio here is:

8.5 / 3.25

which can be reduced by dividing numerator and denominator both by 0.25:

8.5/0.25

--------------- = 34/13

3.25/0.25

Answer:

The difference is 8 F

Step-by-step explanation:

The difference means subtract

56-48 = 8

The difference is 8 F

Answer:

The answer is 21%.

Step-by-step explanation:

1) divide 134 by 106

106/134 is about 0.79

2) Multiply by 100 to find the percentage

0.79(100)= 79%

3) Subtract 79% from 100% to find the percentage difference

100%-79%= 21%

Therefore, the percent of change between 134 and 106 is 21%.

Hope this helps!

Answer:

2.507* 10^-4

Step-by-step explanation:

0.0002507

We need to have one number to the left of the decimal

We move the decimal 4 places to the right

Since we moved the decimal to the right, the exponent on the power of 10 is negative

2.507* 10^-4

Answer:

y=-2

Step-by-step explanation:

y+3y+5y=−18

Combine like terms

9y = -18

Divide each side by 9

9y/9 = -18/9

y = -2

The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.

The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.

Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.

So, the value of y in this equation is -2.

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[tex](x-1)(x+20)=x^2+20x-x-20=x^2+19x-20[/tex]

Answer:

⅓

Step-by-step explanation:

Whether you divide by ⅓ [X ÷ ⅓] or multiply by ⅓ [Y × ⅓], the ratio is similar. It never varies.

1/3

Divide the 2 lowest values by each other.

6/2=1/3

Hope this helps!

Answer:

The Answer would be D) 3

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.