The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.

What is the constant of the quadratic expression in this equation?

x2 + x +
= 0

Answers

Answer 1

Answer:

-420

Step-by-step explanation:

let the two consecutive integers be

x and (x + 1)

The product of two consecutive integers is 420

x(x + 1) = 420

Distribute

x² + x = 420

Subtract 420 from both sides

x² + x - 420 = 0

The constant is

-420


Related Questions

In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?​

Answers

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Which of the following is an example of quantitative data?
A person's Zip Code

The color of your car

A Person's Height

A person's city of residence

Answers

Answer:

a person's height

Step-by-step explanation:

thing that you can count

Answer:

a person's height helpful answer

Factor of 15x - 20y

Answers

Answer:

0

Step-by-step explanation: Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20y' to each side of the equation.

15x + 20y + -20y = 0 + -20y

Combine like terms: 20y + -20y = 0

15x + 0 = 0 + -20y

15x = 0 + -20y

Remove the zero:

15x = -20y

Divide each side by '15'.

x = -1.333333333y

Simplifying

x = -1.333333333y

An orthocenter is the intersection of three.....?

Answers

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12

Answers

87 Step-by-step explanation:

Ill answer when i get the result

4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped​

Answers

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation. Please select the best answer from the choices provided A B C D

Answers

Answer:

C. Add 9 to both sides of the equation.

Step-by-step explanation:

Given

[tex]x^2 - 6x = 15[/tex]

Required

Complete the squares

We have:

[tex]x^2 - 6x = 15[/tex]

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

Take the coefficient of -6 i.e. -3

Square it (-3)^2 = 9

Add 9 to both sides

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

Hence, C is correct

This makes no sense, help pls

Answers

Please mark me branliest!

**Answer**

16 if you want exact, 20 if you want a little over.

**Explanation**

So check this... it's $50 per student that attends the camp, right?

(Nod if you're with me.)

The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800

5 dozen is the same as 50 donuts.

You multiply to get the total amount of donuts he buys in the total days (16).

Each 10 donuts costs 10 dollars.

If the dude buys 800 donuts it cost him $800.

And it costs 50 dollars for someone to go to camp.

So you divide 800/50 = 16 students

Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.

You are very welcome!!


Find the area of each sector. Round your answers to the nearest tenth.

Answers

Answer:

a = 117.3 cm²

Step-by-step explanation:

a = (1/2)∅r²

a = (1/2)(7π/6)(8²)

a = (1/2)(7 * 3.14159/6)(64)

a = 117.3 cm²

FACTOR b2 – 18b + 81

Answers

Answer:

(b-9)^2

Step-by-step explanation:

b^2-18b+81

=b^2-(9+9)b+81

=b^2-9b-9b+81

=b(b-9)-9(b-9)

=(b-9)(b-9)

=(b-9)^2

Hope this helps u!!

If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?

Answers

Answer:

the probablity of anything is

(Number of desired outcomes) / (Number of total outcomes)

Step-by-step explanation:

Answer:

I'd assume 1/4

Step-by-step explanation:

there are only 4 different suits to pick from

"the quotient of nine times a number and seven"

Answers

Answer:

[tex]9n \div 7[/tex]

Step-by-step explanation:

"the quotient of nine times a number and seven"

Hope it is helpful...

A.)55
B.)38
C.)70
D.)20

Answers

Answer:

D) 20

Step-by-step explanation:

4x - 10  and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

Which expression represents "5 times the sum of 4 and y?"
A) 5•4 + y
B ) 5(4 + y)
C ) 4+5•y
D ) 4(5 + y)

Answers

I think the answer should be B

Because 5 times for both 4 and y

Please HELP!
Given this graph of function f(x), find f (-2)

Answers

Answer:

4

Step-by-step explanation:

f(x) is just the y value for a given value of x

When x = -2     y = 4

f(-2) = 4

Which type of triangle is it possible for an obtuse triangle to be?
acute triangle
equilateral triangle
isosceles triangle
right triangle

Answers

isosceles triangle should be right because i has the exact same question

Which mathematical sentence most Accurately expresses the information in the problem below?

See Picture....

Answers

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

X2-8x+15=(ax+b)(cx+d)

Answers

Answer:

(x-5) (x-3)

Step-by-step explanation:

x^2-8x+15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

(x-5) (x-3)

Answer:

Step-by-step explanation:

-5

Please help, I’m so lost in math

Answers

Answer:

[tex]r = 15 \times 5 \\ r = 75[/tex]

Answer:

75

Step-by-step explanation:

5 = r/15

what we want to do is solve for r

to do this we want to isolate the variable (r) using inverse operations

5 = r / 15

so to solve for r we want to get rid of the 15

r is being divided by 15

the inverse of division is multiplication

so to get rid of the 15 we multiply by 15

but remember whatever we do to one side we must do to the other side, so we multiply each side by 15

15 * 5 = 75

r / 15 * 15 = r

we're left with r = 75

we can then check are work by substituting 75 for r and then see if the equation is true

5 = r/15

* substitute 75 for r *

5 = 75/15

75 / 15 = 5

we're left with 5 = 5 which is true

What is the domain of the relation given by the set of ordered pairs shown?

{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }

List the domain as a set, in increasing order.

Answers

Step-by-step explanation:

the domain = {-3, -1, 2}

_____

The domain, as a set in increasing order, will be {-3, -1, 2}.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs shown below.

{(-3, 2), (-1, 0), (-3, 5), (2, -3)}

Then the domain, as a set in increasing order, will be

⇒ {-3, -1, 2}

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Smedley has two rolls of crepe paper, one with 30 yards and one with 40 yards. If he cuts both rolls into 5-yard streamers, how many streamers will he have?​

Answers

Answer:

He will have 14 streamers

Answer:

2

Step-by-step explanation:

so u multiply it by 2846 take away the 8, 4 and 6 and all ur left is with 2

which expression has a value of 15 when n=7?​

Answers

8+n is a possible answer to the question.

Answer:

19 - 28/n

n=7

19 - 28/7

19 - 4

=15

solve 14a-3b+9c=18 for a. Do not use a= in your answer

Answers

Answer:

9/7 + 3/14b  - 9/14c

Step-by-step explanation:

See image below:)

To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.

Answers

Answer:

below

Step-by-step explanation:

cost of the machinery = $14,400

he paid a deposit of $1400

then later paid $576.18 for two years

two years = 24 months

= $576.18 *24

=$13,828.32

total amount paid

= initial deposit + amount paid in two years

= $1,400 + $13,828.32

=$15,228.32

so he finally paid $15,228.32

interest = selling price - original cost

= $15,228.32 - $14,400

=$828.32

therefore interest = $828.32

What theorem shows that △NTM ≅△SMT?

Answers

Answer:

Step-by-step explanation:

Side, side angle (SSA)  theorem shows that △NTM ≅△SMT.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure ΔNTM and ΔSMT share a common side MT.

Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.

Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ5

what additional piece of information do we need to prove that MLN ≅ OPN

Answers

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

Show Intro/Instructions
A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.

Answers

Answer:

Let the length of the 2 pieces = L and S

Let L = the longer piece and S = the shorter piece

A wire 26 cm is cut into 2 pieces.  This equates to......L + S = 26

The longer piece is 6 cm longer than the shorter piece.  This equates to.....L = 6 + S.  Substitute this equation into the first one, you get

L + S = 26

6 + S + S = 26

2S = 20

S = 20/2 = 10 cm

L = 6 + S = 6 + 10 = 16 cm

To confirm, L + S = 26

16 + 10 = 26!

Hope the above was helpful.

Step-by-step explanation:

Mention any two similarities between rectangle and square.​

Answers

Squares and rectangles both are a type of quadrilateral, both have their four interior angles equal to 90 degrees and opposite sides parallel to each other.

The similarities between a rectangle and a square as:

All 4 angles are 90 deg each.

Opposite sides are parallel and equal.

The diagonals bisect each other.

Circles can circumscribe both figures.

The diagonals form the diameter of the circumscribing circle.

The square root of the sum of the squares of adjacent sides is the diagonal.

The area is the product of adjacent sides.

The diagonals bisect the figure into 2 congruent triangles.

Join the midpoints of opposite sides and you get 4 similar figures of 1/4 the area of the original figure.

Join the midpoints of 4 sides in order and you get a rhombus, whose area is half that of the original figure.

A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.

This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.

What is ???

Answers

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

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

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

Simplify the radical completely.

Answers

Answer:

the answer would be A , I hope this helps

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