Find point
on the x-axis so that AC + BC is a minimum.
A(4,-5), B(12,3)

Answer:

the vertex of a quadratic equation:

a*x^2 + b*x + c = y

Is located at:

x = -b/2a.

In this case, x = -2

Then:

-b/2a = -2.

And we also have that:

a*(-2)^2 + b*-2 + c  = 3

Then we have two equations:

-b/2a = -2

a*(-2)^2 + b*-2 + c  = 3

We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.

Let's begin with c = 0, our equations are:

-b/2a = -2

a*(-2)^2 + b*-2 + 0  = 3

In the first equation we can isolate b and get:

b = 4*a

Now we can replace this in the other equation and solve this for a.

a*4 + 4*a*-2 = 3

-4*a = 3

a = -3/4

then:

b = 4*a = 4*-3/4 = -3

The first quadratic equation is:

(-3/4)*x^2  - 3*x = y.

Now, to find the second let's use a different value of c.

c = 1

b = 4*a

a*(-2)^2 + b*-2 + 1  = 3

Let's solve in the same way as before:

a*4 + (4*a)*-2 + 1 = 3

-4*a = 2

a = 2/-4 = -1/2

b = 4*-1/2 = -2.

Then our equation is:

(-1/2)*x^2 - 2*x + 1 = y

For the last equation, let's use c = 2.

then our equations are:

b = 4*a

a*(-2)^2 + b*-2 + 2  = 3

Same as before, replace the first equation in the second.

a*4 + (4*a)*-2 + 2 = 3

-4*a + 2 = 3

-4*a = 1

a = -1/4

Then:

b = 4*(-1/4) = -1

Our third equation is:

(-1/4)*x^2 - 1*x + 2 = y

Now, below you can see all of them graphed.

Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )

Answer:

f(m)=40x+100

Step-by-step explanation:

40 is your rate which is x and 100 is the initial fee which is y.

Answer:

With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

Statement: ∠1 ≅∠2

Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent

Step-by-step explanation:

Answer

I know how to solve it just don't know how to explain how you came up with the equation

Step-by-step explanation:

To solve 9y+7=2y+98   you add 9y+2y and you get 11y  and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11  y= 9.54

Answer:

$68

Step-by-step explanation: All you do is divided 85 by 20 boom

Answer:

$68

Step-by-step explanation:

20% of $85

= 20/100 * 85

= $17

sale price

= 85 - 17

= $68

Answer:

3s = 8+4

3s = 12

s = 12/3

s = 4

Answer:

y = -2x - 9

Step-by-step explanation:

so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.

-1 = -2(-4) + b

multiply -2 and -4

-1 = 8 + b

we subtract 8 from itself and -1

-9 = b

Our equation is y = -2x - 9

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

Answer:

________________________

Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

Answer:

You can buy 10 mangoes for $4.

Step-by-step explanation:

40/16 = x/4

16x = 160

x = 10

Answer:

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards

Answer:

16 pints

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:2

1 q to 2 p

8q to 16 p or 8:16

Answer:

the answer is -120

Step-by-step explanation:

trust :)

Answer:

3/4

Step-by-step explanation:

24-6=18--> role playing games

18/24=3/4

Answer: 3/4

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps

Answer:

Maybe c

Step-by-step explanation:

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer

Answer:

6 x 10^-4 (B)

Step-by-step explanation:

It is the greater number.

Answer:

-2/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.

12-8/4-10

4/-6

-2/3

Best of Luck!

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Slope formula is:

[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]

Let's plug-in our numbers.

[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]

Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.

What can 6 be divided into?

2 * 3 = 6

1 * 6 = 6

What can 4 be divided into?

2 * 2 = 4

1 * 4 = 4

The GCF of these two numbers is 2!

[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]

So, our slope is [tex]-\frac{2}{3}[/tex]

I have shown how to do this in the picture below. We get the same answer solving this way as well.

~ [tex]InLoveWithPugs[/tex]

[tex]Math \ Enthusiast\\Moderator[/tex]

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

A is the correct answer

Answer:

1

Step-by-step explanation:

it is right ok stop now

Answer:

Im pretty sure it is E=8

Step-by-step explanation:

Answer:

E=8

Step-by-step explanation:

took the test :)

Answer:

40%

Step-by-step explanation:

:)

Answer:

y<4

Step-by-step explanation:

thats your answer :)

Complete question is;

In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.

Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Answer:

There's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Step-by-step explanation:

Population proportion; p^ = 430/565 = 0.761

Sample proportion; p = 75% = 0.75

Significance level; α = 0.01

Sample size; n = 560

Let's define the hypotheses;

Null hypothesis; H0: p = 0.75

Alternative hypothesis: p > 0.75

Formula for the test statistic is;

z = (p^ - p)/√[p^(1 - p^)/n]

z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)

z = -0.011/√0.00033482143

z = -0.011/0.0183

z = -0.60

From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;

P-value ≈ 0.2743

The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Answer:

0

Step-by-step explanation:

hope this helps :)

Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let 'x' represent the actual salary.

|x - 25,000| <= 1800

- 1,800 <= x - 25,000 <= 1,800

25,000 - 1,800 <= x <= 25,000 + 1,800

23,200 <= x <= 26,800

The range of the salary is the closed interval [23,200, 26,800].