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The y-intercept on a graph of y = -5x + 6​ is 6.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

We have a linear equation,

y = -5x + 6​.

The general slope-intercept form,

y = mx + b.

Where m is the slope and b is the y-intercept.

Comparing,

b = 6.

Therefore, 6 is the y-intercept.

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Suppose x(1) and x(2) are the roots of the equation.

Sum of them is :

[tex]x(1) + x(2)[/tex]

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Hint :

Remember from now on ,

[tex]x(1) + x(2) = - \frac{b}{a} \\ [/tex]

Which :

[tex]b = x \: \: \: coefficient[/tex]

And ,

[tex]a = {x}^{2} \: \: \: coefficient[/tex]

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So ;

[tex]x(1) + x(2) = - \frac{ 35}{1} \\ [/tex]

[tex]x(1) + x(2) = - 35[/tex]

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Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Answer:

y = 130

Step-by-step explanation:

Those two exterior angles are equal (property of parallel lines)

y is thsupplement of 4x - 14

2x + 18 = 4x - 14                     Add 14 to both sides

2x + 18 + 14 = 4x - 14 + 14      Combine like terms

2x + 32 = 4x                           Subtract 2x from both sides

2x-2x+32=42-2x                    Combine

32 = 2x                                   Divide by 2

32/2 = x

16 = x

============

4x - 14 =64 - 14 = 50

y = 180 - 50

y = 130

Answer:

C. 130

Step-by-step explanation:

Answer:

4 x 10^3    

This is the answer now LEAVE ME ALONE PLZ

Answer:

I think i need the asnwer too

Step-by-step explanation:

Answer:

119 calories in a serving

Step-by-step explanation:

>>1 gram of carbs=4 cal

20 g of carbs times 4 calories per gram of carbs= 80 calories

>>1 gram of fat=9 calories

3 g of fat times 9 calories per gram of fat= 27 calories

>>1 gram of protein=4 calories

3 g of protein times 4 calories per gram of protein= 12 calories

<80+27+12=119 calories total in a serving of chips>

Answer:

A, A and A

Step-by-step explanation:

Given

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here the vertex is a maximum, thus a < 0 , that is negative → A

The value of c is the y- intercept

The graph crosses the y- axis below the y- axis, thus c is negative → A

The solutions to ax² + bx + c = 0 are the values of x on the x- axis where the graph crosses the x- axis.

The graph crosses the x- axis to the left of the y- axis , thus

Both solutions are negative → A

Answer:

[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]

Step-by-step explanation:

Given two points, we can find the equation of the line between them with the following:

[tex]y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}[/tex]

First, we can calculate m, or slope

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1[/tex]

Next we can use the top equation and solve for b, the y-intercept

[tex]y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4[/tex]

[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]

Answer:

is - 280 the answer of that question

Answer:

Step-by-step explanation:

A = 12 × 16 + (1/2)(12 + 8)(10) = 292 units²

The Equation for Area of figure is area of Figure, h² + 1/2(h)(b) = 80

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

We have the figure consist of one rectangle and one right triangle.

Now, Area of Figure,

=Area of rectangle + area of Triangle

= length x width + / x base x height

=  16 x 12 + 1/2 x 10 x 20

= 192+ 100

=292 unit²

and, if the square with height, h, units and a right triangle with height, h units, and a base length, b units.

Then, area of Figure= h² + 1/2(h)(b) = 80 square units.

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Answer:

5.03

Step-by-step explanation:

Because

Answer:

The answer you are looking for is x = 3/10

Step-by-step explanation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

72/x = 3.6/0.015 // - 3.6/0.015

72/x-(3.6/0.015) = 0

72/x-240 = 0

72*x^-1 = 240 // : 72

x^-1 = 10/3

-1 < 0

1/(x^1) = 10/3 // * x^1

1 = 10/3*x^1 // : 10/3

3/10 = x^1

x = 3/10

x = 3/10

Answer:

x=0.3

Step-by-step explanation:

[tex]\frac{72}{x} = \frac{3.6}{0.015} \\\\\frac{72*0.015}{3.6} =x\\x=0.3[/tex]

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

Complete question :

You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters.

A. Write an expression that represents the total number of quarters you take with you when you go shopping.

B. How much money do you have left?

Answer:

[20 + (0.4*20)] = 28 quarters

$3.5

Step-by-step explanation:

Given that:

Initial number of quarters = 20

Quarters in room = 40%

Hence, Numbe of quarters in room = 0.4 * 20 = 8

Total number of quarters taken for shopping :

(Initial amount + Numbe of quarters in room)

(20 + 8) = 28 quarters

50% of quarters was spent on shopping :

0.5 * 28 = 14 quarters

Total left :

28 - 14 = 14

Quarters left in dollars :

1 quarter = 25 cent = 0.25 dollars

14 * $0.25 = $3.5

Step-by-step explanation:

we first square both sides to eliminate the square root brackets..

(√(m(y+n)/y)²= p²

m(y+n)/y = p²

(my +mn)/y =p²

so we multiply both sides by y to eliminate the denominator,

(my+mn)/y*y =p²*y

my+mn = p²y

collecting like terms,we have:

mn= p²y-my

so we seperate the y on the right hand side from the rest to have

mn = y(p²-m)

so divided both sides by the value in the bracket on the right hand side we have..

mn/(p²-m)=y(p²-m)/(p²-m)

so we have,

y= mn/(p²-m)

Answer:

y = [tex]\frac{-mn}{m-p^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{m(y+n)}{y} }[/tex] = p ( square both sides )

[tex]\frac{m(y+n)}{y}[/tex] = p² ( multiply both sides by y )

m(y + n) = p²y ← distribute parenthesis on left side

my + mn = p²y  ( subtract p²y from both sides )

my - p²y + mn = 0 ( subtract mn from both sides )

my - p²y = - mn ← factor out y from each term on the left side

y(m - p²) = - mn ← divide both sides by (m - p²)

y = [tex]\frac{-mn}{m-p^2}[/tex]

Answer:

Step-by-step explanation:

1. 5x+8-7x=4x+1              2.

5x-7x+8=4x+1

2x+8=4x+1

-2x+8=4x+1

-2x+8-8=4x+1-8

-2x-8=4x-7

6x=-7

x=7/6

Answer:

11.25 servings

Step-by-step explanation:

Make sure to ignore .79, because it is unnecessary information.

Answer:

Step-by-step explanation:

Given 3x-4y=65

Y=4

So 3x-4×4=65

3x-16=65

3x=65+16

X=81/3

X=27

So value of X is 27

Answer:

28 hours

Step-by-step explanation:

Answer:

Ben

Step-by-step explanation:

We know that pi is not rational  and sqrt(2) is not rational

Ben: 0.435435. . ., 0.5, √25, 0

A repeating decimal can be written as a fraction and sqrt(25) = 5  so Ben has all rational numbers

Answer:358

Step-by-step explanation:

Answer:

x-int: (3, 0)

y-int: (0, -3)

General Formulas and Concepts:

Alg 1

Slope-Intercept Form: y = mx + b

The y-intercept is the y value when x = 0.

Another way to reword that is when the graph crosses the y-axis.

The x-intercept is the x value when y = 0.

Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

Step 1: Define equation

x - y = 3

Step 2: Convert to slope-intercept form

Step 3: Find x/y-intercepts

x-int

y-int

Answer:

x=3

y=-3

Step-by-step explanation:

Answer:

y=(4/3)x - 3

Step-by-step explanation:

Use equation (y-y1) =m (x-x1)

slope is m= (y1-y2)/(x1-x2)=1+3/3-0=4/3

use one of the points and this slope to complete the equation

(y-1)=(4/3)(x-3) distribute and add1 to both sides

y=(4/3)x-(3*4/3)+1

y=(4/3)x - 3

Answer:

y =  [tex]\frac{4}{3}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-1}{0-3}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{4}{3}[/tex] x - 3 ← equation of line

Y=-1/4+4

-1/4 is the slope and the 4 is the y-intercept (where the line touches the y-axis)

I hoped this help's!!!

Answer:

y=-1/4x+4

Step-by-step explanation:

Since the line is decreasing the slope in down 1 and to the right 4 and the y-intercept is 4. Hope this helps:)

Answer:

The answer is 1/2

Step-by-step explanation:

Answer:

2

Step-by-step example:

(1,2) n (5,10) is having 2 being multiplied by 1 and 5 to get the y-intercept.

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.