How is the right triangle formed? In other words, describe the lines that make leg “a” and leg “b” and the hypotenuse “c” of the right triangle.

The equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.

Given table is:

x        y

-3       3.75

-2         4

-1        3.75

0         3

1         1.75

Let us say the quadratic function is:

f(x) = ax² +bx + c

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are non-zero.

When, x=0, f(x) =3

So, 3 = c

So, f(x) = ax² +bx +3

When, x=1, f(x) =1.75

1.75 = a+b+3

a+b = -1.25........(1)

When, x=-1, f(x) =3.75

3.75 = a-b+3

a-b = 0.75........(2)

Solving equations (1) and (2)

a = -0.25

b = -1

So quadratic function will be:

f(x) = -0.25x² -x + 3

Therefore, the equation of the quadratic function represented by given table is f(x) = -0.25x² -x + 3.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Answer:

Step-by-step explanation:

3x + 3y = -3 ------------(I)

-3x + 2y = 8 -----------(II)

Add both the equations and x will be cancelled and we can find the value of y

(I)          3x + 3y = -3

(II)       -3x  + 2y = 8     {Now add}

                    5y = 5

                      y = 5/5

y = 1

Now, substitute y = 1 in any of the equations. We are going to substitute in equation (I)

3x + 3*1 = -3

3x + 3 = -3

     3x = -3 - 3

     3x = -6

       x = -6/3

x = -2

The solution of the equation is the point of intersection.

Point of intersection = ( -2, 1)

[tex] - 3 + 2y = 8[/tex]

[tex]2y = 8 + 3[/tex]

[tex]2y = 11[/tex]

[tex]y = \frac{11}{2} [/tex]

[tex]3x + 3( \frac{11}{2} ) = - 3[/tex]

[tex]3x = 3 - \frac{33}{2} [/tex]

[tex]3x = \frac{6 - 33}{2} [/tex]

[tex]3x = \frac{ - 27}{2} [/tex]

[tex]x = \frac{ - 27}{6} [/tex]

Answer:

You need a 6 squeezes of lemon.

Step-by-step explanation:

If 1 bottle contains 1/4 , you need a 2 squeezes of lemon.

4 lemons if 1/2

8 squeezes if 1 bottle

Answer:

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

since its 2 inches to 1 foot, just divide the 30 inches by 2 to get 15 feet

Answer:

=20x-20

Step-by-step explanation:

40x-20x=20x

20x-20

=20x-20

Answer:

$14,182.43

Step-by-step explanation:

we have the equation [tex]29800(.94)^12[/tex] that is supposed to be to the 12th power. but we have the .94, since the 6% is a negative. a good starting point is always 1.00, since 1=100, and if it was increasing in value, it would be 1+.06, and if it was negative like this, it would be 1-.06, which is the .94 that we have. and we put it to the 12th power because there are 12 years, and it only depreciates once per year. hope this helps, please mark as brainlest.

Answer:

I'm surprised to inform you that yes, yes I do.

Step-by-step explanation:

If you didn't know, all those lines stand for something. Stand for an equation.

For example, let's take the first line shown, question number 5.

The line moves down on the number line, going from 4 all the way down to -6.

Since the dot is filled in, that means that the line includes 4, which means our answer's greater than or lesser than sign should have a line under it, meaning "or equal to".

A is the only reasonable answer for question 5, because it reads "X (which you could substitute for any point in the blue line) is less than or equal to 4."

If we use what we learned from question 5 for the next 3 questions, we could rightly say that the answer to 6 is D, the answer to 7 is C, and the answer to 8 is B.

If I'm wrong on any of these, feel free to scream profanities. Wouldn't be the first time.

Answer:

the answer is b

Step-by-step explanation:

first i did 18 divided by 6=3

then 8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Answer:

B.) 63

Step-by-step explanation:

18 divided by 6 = 3

8x7=56

3+56=59

59-12=47

8x2=16

47+16=63

Using the relation between velocity, distance and time, it is found that the speed of the blimp in still air is of 35 mph.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

153 miles with a tailwind (with the wind), that is, with a velocity of v + 16, so:

[tex]v + 16 = \frac{153}{t}[/tex]

[tex](v + 16)t = 153[/tex]

[tex]t = \frac{153}{v + 16}[/tex]

57 miles with a headwind (against the wind), that is, with a velocity of v - 16, hence:

[tex]v - 16 = \frac{57}{t}[/tex]

[tex](v - 16)t = 57[/tex]

[tex]t = \frac{57}{v - 16}[/tex]

Since the times are equal, we have that:

[tex]\frac{153}{v + 16} = \frac{57}{v - 16}[/tex]

153(v - 16) = 57(v + 16)

96v = 3360

v = 3360/96

v = 35.

The speed of the blimp in still air is of 35 mph.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

Answer:

Jose would have accumulated $23,325.21

Step-by-step explanation:

Giving the following information:

The interest rates are not clear. If they are not correct, replace them in the formulas.

Jose:

Initial investment= $8,000

Interest rate= 7.38 compounded daily.

Adam:

Initial investment= $8,000

Interest rate= 7.78% compounded annually.

Future value= 8,000*3= 24,000

First, we need to calculate the time required for Adam to triple its investment.

n= ln(FV/PV) / ln(1+i)

n= ln(24,000/8,000) / ln(1.0778)

n= 14.66 years

It will take Adam 14.66 years to triple the investment.

Now, the future value for Jose:

FV= PV*(1+i)^n

PV= 8,000

i= 0.0738/365= 0.0002

n= 14.66*365= 5,351 days

FV= 8,000*(1.0002^5,351)

FV= $23,325.21

Jose would have accumulated $23,325.21

Answer:

$23294

Step-by-step explanation:

im smart

deltamath gang

The answer is provided in the image.

Please mark as Brainliest.

Answer:

Step-by-step explanation:

A 10= 4 plus 6

Answer:

m<AJK = 90 degrees

m<BKJ = 90 degrees

m<CLJ = 90 degrees

The line of the reflection has been returned to its original position.  Use the ruler to measure these two segments.

BK = 2.2 units

KB' = 2.2 units

Record the lengths of these segments.

AJ = 5.6 units

JA' = 5.6 units

Record the lengths of these segments.

CL = 3.8 units

LC' = 3.8 units

Which segments have equal lengths?

corresponding segments

Change the position of the line of reflection.  Does the line of reflection appear to be a perpendicular bisector of the segments that connect corresponding vertices?  

Yes

Answer:

they are all 90

Step-by-step explanation:

edg 2021

Are you asking for the formula of a line that passes through these points?

Answer:

Related order pairs that have one value from the second components of the order pain.

Hoped this worked :3

Answer:

A simple definition for a function in math is a relation between two quantities that has exactly one output value for each input value.

Step-by-step explanation:

Some other definitions you may need to know to understand the function definition is an input is a value that is put into a relation and an output is a value that results from putting an input into a relation. Lastly, a relation is a relationship between two sets of values, inputs, and outputs.  

I hope this helps you! :)

Answer:

266yd^2

Step-by-step explanation:

A = b x h

15.2 x 17.5 = 266

Answer:

[tex] 8.7 \times {10}^{ - 2} [/tex]

Step-by-step explanation:

[tex].087 = 8.7 \times {10}^{ - 2} \\ [/tex]

Answer:

160 g of chocolate

Step-by-step explanation:

She is doing 4 times the recipe for 24 biscuits so you need to multiply by 4.

Answer:

Step-by-step explanation:

(-b±√b²-4ac)/2a

(4±√-4²-4(2)(3))/2(2)

(4±√16-24)/4

(4±√8)/4

=4+√8    ║4-√8

 --------      --------

    4             4

idont know kung tama ba ito

or

(2x-3) (x-1)=0

2x-3=0  x-1=0

2x=3        x=1

x=3/2     x=1

We have that Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

From the question we are told that

2x² - 4x + 3 = 0​

Generally the equation for solving Quadratic equation is  is mathematically given as

([tex](x,y)=\pm b\frac{\sqrt{}b^2-4ac}{2a}\\\\(x,y)=\pm b\frac{\sqrt{(-4)^2-4*2*3}}{2*2}[/tex]

From the Deductions

Root x= 1 + 0.707i

Root y= 1 - 0.707i

Therefore

Solution to the quadratic equation 2x² - 4x + 3 = 0​ is

Root [tex]x= 1 + 0.707i[/tex]

Root [tex]y= 1 - 0.707i[/tex]

For more information on this visit

https://brainly.com/question/23366835?referrer=searchResults

Answer:

[tex]12 + 4b < 7.50b[/tex]

Step-by-step explanation:

Given

Reader' Book Club

[tex]Membership = \$12[/tex]

[tex]Book = \$4.00[/tex] per book

Perfect Page

[tex]Book = \$7.50[/tex] per book

Required

Write an inequality to represent the situation

Represent the number of books with b

First, we need to write an expression for Reader's book

This is:

= Membership + Books Read

[tex]12 + 4b[/tex]

For Perfect Page

This is

= Books Read

[tex]7.50b[/tex]

For Reader's club to be less than Perfect Page, we have:

[tex]12 + 4b < 7.50b[/tex]

Answer: B

Step-by-step explanation:

Use the Pythagorean theorem; let the legs of the right trangle, a = 4 and b = 7:

c²=a²+b²

c²=4²+7²

c²=16+49

c²=65

c=√65 or c = 8.06

Therefore, B is the correct answer

A.68

Linear pair of angles:

If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Axiom- 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.

Axiom-2

If the sum of two adjacent angles is 180° then the two non common arms of the angles form a line.

The two axioms given above together are called the linear pair axioms.

-----------------------------------------------------------------------------------------------------

Solution:

Given,

∠PQR = ∠PRQ

To prove:

∠PQS = ∠PRT

Proof:

∠PQR +∠PQS =180° (by Linear Pair axiom)

∠PQS =180°– ∠PQR — (i)

∠PRQ +∠PRT = 180° (by Linear Pair axiom)

∠PRT = 180° – ∠PRQ

∠PRQ=180°– ∠PQR — (ii)

[∠PQR = ∠PRQ]

From (i) and (ii)

∠PQS = ∠PRT = 180°– ∠PQR

∠PQS = ∠PRT

Hence, ∠PQS = ∠PRT

PLEASE MARK THIS AS A BRILLIANT ANSWER

Answer:

y= -3/4 x+5

Step-by-step explanation:

Set up y= -3/4 x+b. Plug in the coordinate and you get b=5. So, you get your answer. Hope it helps :)

First you do $ 1,907.87 - $345 = $ 1562.87

then you do $995.42

which then means that her purse probably cost $995.42

The area of the triangle is 62.8 Square cm

The figure represents the given parameter

From the figure, we have the following values

a = 10 cm

b = 13 cm

C = 105 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 10 * 13 * sin(105 degrees)

Evaluate

Area = 62.8

Hence, the area is 62.8 Square cm

Read more about area at

https://brainly.com/question/25292087

#SPJ1

Answer:

117

Step-by-step explanation:

38 + x + y = 180

x + y = 142

180 - 101 = 79

x + 79 = 142

x = 63

180 - 63 = 117

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

A is the answer

Step-by-step explanation:

Hope it helps