Evaluate √b-4ac for the given values of a, b, and c, and simplify.
a=2, b=4, and c= 10
The result is ?

Answer: Diego is correct, and X = 145

Step-by-step explanation:

The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.

[tex]X + 35 = 180[/tex]

[tex]180 - 35 = X[/tex]

[tex]X = 145[/tex]

Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.

The numerical length of KL = 10.

So,

Combine similar terms:

Take 2x off each side:

Add 11 for each side:

Therefore, the numerical length of KL = 10.

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The number of miles for same rental costs are 300 miles.

Let the number of miles be x.

Firstly calculating the cost of Company a -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 110 + 0.70x

Calculating the cost of Company b -

Total cost = One day cost + Number of miles × Cost per mile

Total cost = 80 + 0.80x

Now, for the same rental cost, we will equate the two expressions. This will calculate the value of x.

110 + 0.70x = 80 + 0.80x

Rearranging the expression -

110 - 80 = 0.80x - 0.70x

Performing subtraction

30 = 0.10x

Shifting the values on other side of equation

x = 30/0.10

Performing division

x = 300

Hence, the rental cost for both companies will be same for 300 miles.

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Answer:

B

Step-by-step explanation:

it grows b

Answer: 12.8x^2

Step-by-step explanation:

3.2x * 4x=

3.2 * x * 4 * x=

3.2 * 4 * x * x=

12.8 * x^2=12.8x^2

Answer:

correct

3x4=12

Step-by-step explanation:

Answer:

B, C, A

Step-by-step explanation:

B, C, A

The value of the inverse function f⁻¹(8) is  [tex]\frac{3}{2}[/tex] .

An inverse function in mathematics is a function that "undoes" another function.

To calculate the inverse of the function  f (x) = 2 x + 5 we simply  write the function in the form y = 2x + 5 .

Now we solve the equation for x.

∴ y = 2x + 5

or, 2x = y-5

or, x = (y-5)/2

Hence the inverse of the function is given as:

f⁻¹ (x) = (x - 5 ) / 2

Now we have to find the value of f⁻¹ (8).

f⁻¹ (8) = (8-5) / 2

or, f⁻¹ (8) = 3 / 2

Hence the value of f⁻¹ (8) is 3 / 2 .

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Disclaimer: the complete question is:

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?

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Answer: B

Step-by-step explanation: On Edge 2022

Answer:

24

Step-by-step explanation:

Equivalent fractions with the LCD

5/8 = 15/24

1/6 = 4/24

Answer:

Step-by-step explanation:

9.625 rounded is 10.

10 x $3.40 = $34

$3.99 rounded to the nearest cent is $4.

$34 + 4 = $38, so Bruno spends about $38 total.

Answer:

B

Step-by-step explanation:

y - 15 = -3

add 15 to both sides to get:

y=12

Answer:



Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

14-10= 4.

So the base of the triangle is 4.

10*8=80

4*8*1/2=16

80+16 = 96

Answer:

32

Step-by-step explanation:

The new coordinates of the image A' will be  (-5, -9).

Here, we are given a point on the cartesian plane- A (-5, 9)

It is reflected along the x axis to form a new point A'

Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.

Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.

In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).

Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.

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The correct relationship between the angles of the two triangles is as follows:

So, in an ABC triangle, A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0.

Then,

Angle measurement BCA = Angle C prime A prime B measurement.

Therefore, the correct relationship between the angles of the two triangles is as follows:

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Answer:

p-65=114

Step-by-step explanation:

In this equation, "p" is the amount of pencils in the box before he starts drawing. he removes 65 pencils from the box, leaving 114 in the box. What he needs with 65 pencils at once, I can't fathom.

Answer:

6

Step-by-step explanation:

The number shown on the number line could be related to the inexact irrational number √17.

In this problem we find the location of a point on a number line, which is related to an inexact irrational number, that is, an irrational number that is not equivalent to any rational number. The point is between two exact irrational numbers, that is, √16 = 4 and √25 = 5.

There are two options: (i) √17, (ii) √24. √24 is close to 5, but √17 is close to 4. Thus, the number shown on the number line could be related to the inexact irrational number √17.

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Using a system of equations, the amounts of gems collected by each member is are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

They collected a total of 182 gems, hence:

x + y + z + t + w = 182.

Alice collected 1 more than 3 times what Cecil did, hence:

y = 3x + 1.

Jaime collected 12 less than 3 times what Alice did, hence:

z = 3y - 12 = 3(3x + 1) - 12 = 9x - 9.

Amir collected 10 less than Cecil, hence:

t = x - 10.

Monte collected 5 more than Cecil, hence:

w = x + 5.

Replacing everything in the first equation, we can solve for x as follows:

x + y + z + t + w = 182.

x + 3x + 1 + 9x - 9 + x - 10 + x + 5 = 182.

15x = 195

x = 195/15

x = 13.

Hence the other variables are:

Thus the amounts of gems collected by each member is are given as follows:

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32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

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Answer:

h = V/B

Step-by-step explanation:

[tex]\sf V \div B = h\\Reverse\\h = V \div B[/tex]

Answer:

D. h = V/B

Step-by-step explanation:

"Solve...for h" means get h all by itself on one side of the equation.

V = Bh

Divide both sides by B.

V/B = h

Turn it around and you can see the answer in the choices. D. h = V/B is the correct answer.

The relationship between the triangles are;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

The term congruency has to do with the fact that the triangles are similar. That is why another way that we could express congruent triangles is to call them similar triangles. These are the triangles that look alike in some ways. The triangles may be similar in the following ways;

1) Angle Angle Side

2) Side Side Side

3) Side Angle Side

4) Angle Side Angle

5) Angle Side Side

Having seen the various ways in which triangle could be similar we are asked to obtain the triangles that are similar by Angle Side Angle and  Side Angle Side.

A good look at the triangles as shown in the image attached to this answer would show us which of the triangles are similar on the basis of Angle Side Angle and  Side Angle Side.

We can see that;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

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[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{2}) ~\hfill AB=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 2- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 3)^2 + ( -2)^2}\implies \boxed{AB=\sqrt{13}} \\\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ -2- 2~~)^2 + (~~ -1- 2~~)^2}[/tex]

[tex]~\hfill BC=\sqrt{( -4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -1- (-2)~~)^2 + (~~ 4- (-1)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (5)^2}\implies \boxed{CA=\sqrt{26}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{\sqrt{13}~~ + ~~5~~ + ~~\sqrt{26} ~~ \approx ~~ \text{\LARGE 14}}[/tex]

Answer:

I kinda want to say it's C

The given situation is an example of an Observational Study.

In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Cohort study: Any group of people who are connected in some way constitutes a cohort for research purposes. For instance, a birth cohort is made up of all individuals born within a specific period of time. Researchers contrast the outcomes for cohort members who have been exposed to a specific variable with those for cohort members who have not.

Case control study: In this method, researchers choose individuals who already have a health issue (referred to as "cases") and a control group that is similar but free of the issue.

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Answer: x=7

Step-by-step explanation: hope this helps!!!

Answer:

x=7

Step-by-step explanation:

Answer:

3 ins 2 cm

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )

6y = 3x - 18 ( divide through by 6 )

y = [tex]\frac{1}{2}[/tex] x - 3