the diagram below shows the graph of y=x²- 3x+1
use the graph to solve the equation

x²-3x+1=4​

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

Answer:

-8a-5=3-6a

-8a+6a=3+5

-2a=8

a=8/-2

therefore,a=-4 answer...

Answer:

a = 4

Step-by-step explanation:

Firstly, make all subtraction signs, addition signs which should look like this

-8a + -5 = 3 + -6a

Add 5 to both, -5 and 3.

-8a = 8 + -6a

Add 8a to both -8a and -6a

2a = 8

Divide both by 2

a = 4

Answer:

92,776

Step-by-step explanation:

I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?

My 9 is worth 9*10,000 = 9 * 10,000

= 90,000

My 2 is worth 2 thousand = 2,000

One of my 7s is worth 70 = 70

The other is worth 10 times as much = 70 * 10

= 700

My other digit is a 6 = 6

The number is

90,000 + 2,000 + 700 + 70 + 6

= 92,776

Answer:

obtuse

Step-by-step explanation:

hope it helps. :)

Answer:

Step-by-step explanation:

xc = ab

x = ab/c

Answer:

x=ab/c

Step-by-step explanation:

x/a=b/c

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

Answer:

<1 and <8 are alternate exterior angles

<4 and <6 and same said interior angles

<3 and <6 are alternate interior angles

Step-by-step explanation:

The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.

The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.

Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8

∠ 1 and ∠ 8 are alternate exterior angles, this is true.

∠ 4 and ∠ 6 are same side interior angles, this is true.

∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.

∠ 2 and ∠ 8 are corresponding angles, this is true.

∠ 3 and ∠ 6 are alternate interior angles, this is true.

Hence, the correct options are 1, 2, 4, and 5

Learn more about angle relationships, click;

https://brainly.com/question/29764647

#SPJ2

Answer:

the slope is 3/4

Step-by-step explanation:

Randomly pick two points

point 1 (0, -1)

point 2 (4, 2)

gradient = (y2-y1)/(x2-x1)

m = (2-(-1))/(4-0)

m = 3/4

Answer:

wouldn't it be 18/7

Step-by-step explanation:

270 ÷ 15 over 105 ÷ 15

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

Answer:

-8y+12

Step-by-step explanation:

4(-2y +3)

you can distribute the 4

4 • -2y + 4 • 3

= -8y +12

because they are not like terms, you cannot do anything further.

Answer:

Last option

Step-by-step explanation:

a. 0

b. 0

c. 0

d. 12

Answer:

x = 4

Step-by-step explanation:

A:3(x+2)=18

Divide each side by 3

3/3(x+2)=18/3

x+2 = 6

This is the same equation as equation B

They will have the same solution since they are the same equation

x+2-2 = 6-2

x = 4

(not my answer)

Answer:

the answer is 144 folders

Step-by-step explanation:

you have to convert the ft of the file cabinet to inches. so the cabinet is 12 in wide, 36 in deep and 36 in tall. the volume of it is 15,552 cu in. each folder is 108 cu in. divide 15,552 by 108 = 144 folders can fit in the cabinet. sorry my pic is messy.

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

Answer:

A

Step-by-step explanation:

Because there are a same number of boys and girls, the odds are 20:20 which can be simplified to 1:1

Hope that helps

Once again the answer is A

Bye have a great time :D

Answer:

i need some points i don't know the answer

Step-by-step explanation:

i dont know

Answer:

yes

Step-by-step explanation:

i multiply the 16 to the ratio of meters to feet and got 52.4934

Answer:

Δ QRS is an obtuse triangle ⇒ according to its angle

Δ QRS is an isosceles triangle ⇒ according to its sides

Step-by-step explanation:

In Δ QRS

∵ m∠Q = 8x - 17

∵ m∠R = 19x + 4

∵ m∠S = 5x + 1

→ The sum of the interior angles of a Δ is 180°

∴ m∠Q + m∠R + m∠S = 180°

→ Substitute their values in the equation above

∵ 8x - 17 + 19x + 4 + 5x + 1 = 180

→ Add the like terms

∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180

∴ 32x + (-12) = 180

∴ 32x - 12 = 180

→ Add 12 to both sides

∵ 32x - 12 + 12 = 180 + 12

∴ 32x = 192

→ Divide both sides by 32

∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]

∴ x = 6

→ Substitute the value of x in each measure of angles to find them

∵ m∠Q = 8(6) - 17 = 48 - 17

∴  m∠Q = 31°

∵ m∠R = 19(6) + 4 = 114 + 4

∴  m∠R = 118°

∵ m∠S = 5(6) + 1 = 30 + 1

∴  m∠S = 31°

∵ m∠R > 90°

∴ ∠R is an obtuse angle

∴ Δ QRS is an obtuse triangle

∵ m∠Q = m∠S

→ In any Δ if two angles are equal in measures, then the two sides

  opposite to these angles are equal in length and the Δ is isosceles

∴ RQ = RS

∴ Δ QRS is an isosceles triangle

Answer:

Step-by-step explanation:

A,because it goes diagonally which (with the fraction) means that the fraction should be equal to the problem

Answer:

A

Step-by-step explanation:

I believe this is the right answer becasue all the other lines and curved (not constant) and the other goes in different directions.

Answer:

The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit

Step-by-step explanation:

Here, we want to know the temperature after 9 hours

Per hour rise each hour is 3/4 degree = 0.75 degree

In 6 hours that will be 0.75 * 6 = 4.5 degrees

Or hour drop is 1/4 = 0.25 degree

In 3 hours, that will be 0.25 * 3 = 0.75 degree

Since it is a drop, we have -0.75 degree

Temperature after 9 hours will be;

-5 + 4.5 -0.75

= -5.75 + 4.5 = -1.25 degrees fahrenheit

Answer:

Step-by-step explanation:

this ratio of (1/8) to (1/4) can be written as a fraction

however, since we want to find out how much salt is needed for one teaspoon of baking soda, salt is the numerator (top) of the fraction and baking soda is the denominator (bottom) of the fraction

(1/8)/(1/4)

(1/8)x(4/1) when you divide fractions the second fraction switches the top and bottom

(1/8)x4

4/8

1/2

1/2 or 0.5 teaspoons of salt are needed per teaspoon of baking soda

Answer:

A,C,E

Step-by-step explanation:

Answer:

iphone 12 is trash

Step-by-step explanation: