Find the formula, in standard form y = ax2 + bx + c, for a quadratic that has roots at x = -2 and x = 7,

and has leading coefficient of 1.

y =

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

Answer:

Integers are 7, 8, 9

Step-by-step explanation:

Let three positive consecutive integers are (n - 1), n, (n + 1)

If the product of the second and the third integer is 72,

n(n + 1) = 72

n² + n = 72

n² + n - 72 = 0

n² + 9n - 8n - 72 = 0

n(n + 9) - 8(n + 9) = 0

(n - 8)(n + 9) = 0

(n - 8) = 0 ⇒ n = 8

(n + 9) = 0 ⇒ n = -9

For n = 8,

Integers will be ⇒ 7, 8, 9

For n = -9,

Integers will be ⇒ -10, -9, -8

Since, all integers are positive,

7, 8, 9 will be the answer.

Answer:

b: 3 cm

Step-by-step explanation:

just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

Answer:

X=5 Y=5

Step-by-step explanation:

Answer:

376.52 is the volume of the composite figure.

Step-by-step explanation:

Let's break this into two shapes.

A rectangular prism and a hemisphere

Volume Formula for rectangular prism: l • h • w

Volume Formula for hemisphere: (2/3)πr^3

l • h • w

10 • 4 • 8

40 • 8

320

Rectangular Prism: 320

(2/3)πr^3

2/3(3)^3

2/3(3.14)(27)

2.09333333333(27)

56.52

Hemisphere: 56.52

320 + 56.52 = 376.52

The volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

The total space occupied by a hemisphere in a 3-dimensional region is called its volume. Geometrically a hemisphere is an exact half of a sphere.

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

Volume of cuboid = Length × Width × Height

Given

Radius of hemisphere r = 3

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Volume of hemisphere V1= [tex]\frac{2}{3} \pi r^{3}[/tex]

= [tex]\frac{2}{3} .(3.14).(3)^{3}[/tex]

= 56.52 [tex]cm^{3}[/tex]

Volume of cuboid V2 = Length × Width × Height

= 10 × 8 × 4

= 320 [tex]cm^{3}[/tex]

The volume of the composite figure V = V1 + V2

V =  56.52 +  320

V = 376.52  [tex]cm^{3}[/tex]

Hence, the volume of the composite figure is 376.52  [tex]cm^{3}[/tex].

Find out more information about volume of hemisphere and volume of cuboid here

https://brainly.com/question/3362286

https://brainly.com/question/23118276

#SPJ2

Answer:

3.75

Step-by-step explanation:

Follow PEMDAS

P = parentheses so first it will turn to 30 divided by 3 times 5

E = exponents we dont have any

M = multiplication 30 divided by 8

D = division = 3.75

Answer:

1 and 4 parallel lines are straight

Step-by-step explanation:

Answer:

IM LOOKING FOR THE ANSWER TO LOL

Step-by-step explanation:

Answer:

x = 9/2

Step-by-step explanation:

4x + 8 = 6x - 1

4x - 6x = - 1 - 8

-2x = -9

2x = 9

x = 9÷2

x = 9/2

-TheUnknownScientist

Answer:

Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!

Step-by-step explanation:

Answer:

I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.

Step-by-step explanation:

Mind answering some stuff I have in the meantime?

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Answer:

rational bc it's a decimal

Step-by-step explanation:

Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

The required simplified solution of the given expression is (√2 + √5).

Given that, to simplify the expression √3(√6+√15).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= √3(√6+√15)
= √3×√6 + √3 ×√15
= √3×√3×2 + √3 ×√3×5
= √3×√3(√2 + √5)
= 3(√2 + √5)

Thus, the required simplified solution of the given expression is (√2 + √5).

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

9514 1404 393

Answer:

  y = -3x +26

Step-by-step explanation:

We assume the given line is ...

  y = -3x +5

This is in slope-intercept form:

  y = mx +b

where m = -3 and b = 5.

The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...

  y = -3x +b

We can find the value of b using the given point:

  8 = -3(6) +b

  26 = b . . . . . . add 18

So, the equation of the parallel line through (6, 8) is ...

  y = -3x +26

Answer:

2. 2

3. 4

4. 3/4

5. 5/12

6. 6

7. 1/2

Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points given from the graph.

Point (0, 2)

Point (7, 2)

Step 2: Find slope m

Any horizontal line will have a slope of 0.

And we have our final answer!

The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of the lines:

y = 3x + 2 and y = 3x - 3

The slope of the line:

y = 3x + 2

y = mx + c

m = 3

The slope of the line:

y = 3x - 3

y = MX + C

M = 3

m = M

The slopes of the line are the same.

Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let [tex]P_1[/tex] be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]

Putting x = 20 in 2nd perimeter

[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

Answer:

y= -[tex]\frac{3}{5}[/tex]x+16

Step-by-step explanation:

[tex]\frac{19-13}{-5-5}[/tex]

-[tex]\frac{6}{10}[/tex]

-[tex]\frac{3}{5}[/tex]=slope

13=-[tex]\frac{3}{5}[/tex](5)+C

13=-3+C

16=C=y intercept

Let me = slope

m = (18 - (-2))/(4 - 0)

m = 20/4

m = 5

We now plug slope 5 and one of the given points into the point-slope formula.

y - y_1 = m(x - x_1)

y - 18 = 5(x - 4)

y - 18 = 5x - 20

y = 5x - 20 + 18

y = 5x - 2

Done!

Answer:

y=120x

Step-by-step explanation:

You can just divide all of the points (y/x) and they all equal to 120. And when you add it to the equation its y=120x

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

Answer:

$0.76

Step-by-step explanation:

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.

Answer:

is o.76

Step-by-step explanation:

I took the quiz

Answer:

it depends on what you believe, butttt i would say science

Answer: Science.

Step-by-step explanation: In my opinion science makes more sense than religion because it has proof, but I do not have anything against religious people.