Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for full credit!



a. `y=(2x+7)(x-13)

Answer: you will need 8 cars. 4 can go into 7 evenly so you will have to left over. So 8 cars will be necessary.

Step-by-step explanation: divide 30 by four which equals 7.5 so we can just round up and say we need 8 cars

To determine how many cars are needed to transport 38 students, we need to divide the total number of students by the number of students that can fit in each car.

According to the problem, each car can hold 4 students and a driver. Therefore, the total number of people that can fit in one car is 4+1 = 5.

To transport 38 students, we need to divide 38 by 4 to find the number of cars needed to transport all the students.

38 ÷ 4 = 9 remainder 2

This means that 9 cars can transport 36 students (9 cars x 4 students per car), but we still have 2 students left.

Therefore, we need an additional car to transport the remaining 2 students.

In total, we need 10 cars to transport all 38 students.

Answer:

is A

Step-by-step explanation:

I hope and this helps you

Answer:

slope = -1

Step-by-step explanation:

y2-y1 / x2-x1=

1+5 / -2-4 = 6/-6

M = -1

The lower bound for the number of minutes that it takes for all people to leave is of:

70 minutes.

At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:

29,750.

(as 29749 would be rounded to 29,700).

At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:

424 people per minute.

(as 425 people would be rounded to 450).

Hence the time it would take is obtained applying the proportion as follows:

29750/424 = 70 minutes.

(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).

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Answer: i think 20

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

On solving the provided question, we can say that by permutation 26 possible letters  x  10 possible digits  = 260 possible plates

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of

26 possible letters  x  10 possible digits  =

26 x 10   =

260 possible plates

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Answer:

36 I think

Step-by-step explanation:

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Answer:

36

Step-by-step explanation:

4 x 9 = 36

9 x 4 = 36

12 x 3 = 36

Answer:

y= -1/2x-5

Step-by-step explanation:

The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5

The equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5) = 2y = -x -8

The equation of line is an algebraic form of representing the set of points.

Given that a line is perpendicular to line, y = 2x -5 and passes through (2,-5)

Equation of a line = y = mx + c, where m is the slope

y = 2x - 5, slope of this line is 2

Slope of two perpendicular lines are negative reciprocal of each other.

Therefore, slope of other line is -1/2

Equation will be y = -1/2 x + c

This above line passes through (2,-5)

-5 = -1/2*2 + c

c = -4

Hence, the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

y = -x/2 -4

2y = -x -8

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The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Blue beads = 1/3

Red beads = 5/16

The unit rate of blue beads to red beads.

= 1/3 ÷ 5/16

= 1/3 x 16/5

= 16/15

= (16/15) / 1

= 1(1/15) / 1

Thus,

The unit rate is 1(1/15).

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Reasoning:

Apply the rule that [tex]\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x[/tex]

The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.

For example, 7^2 = 49, and the square root of this leads back to 7.

Going back to the problem at hand, we can say, [tex]\sqrt{12}*\sqrt{12} = 12[/tex]

Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.

Any rational number is of the form a/b, where a,b are integers and b is nonzero.

In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.

According to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:

Logarithm of 1 at any base.

㏒ₐ 1 = 0

If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.

Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.

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Answer:

there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)

Step-by-step explanation:

Answer:

6*5=30 units

Step-by-step explanation:

Brainliest?

What is the question please?

Answer:

7.9

Step-by-step explanation:

area of circle equals π× 5 = 15.7

area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

Answer:

the answer would end up being: D

Answer:

Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore:

4/6 = s/21, or s = [4(21)]/6 = 14 feet.

Answer:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A. a = 8, b = 15, c = 17

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

17² = 8² + 15²

289 = 64 + 225

289 ≠ 289

Therefore, this is not a right triangle.

B. a = 6, b= 15, c = 18

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

18² = 6² + 15²

324 = 36 + 225

324 ≠ 324

Therefore, this is not a right triangle.

C. a = 7, b = 10, c = 12

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

12² = 7² + 10²

144 = 49 + 100

144 = 144

Therefore, this is a right triangle.

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

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Answer:

84

Step-by-step explanation:

6×6 is 36, and there are two of these squares so the area of the squares together is 72. 3×4 is 12 and 72+12 is 84. Hope this helps :)

The most accurate value for AB is 37.699111843077516 (approximately)

The measure of an arc is directly related to the measure of the central angle that intercepts it. The measure of an arc is equal to the measure of its central angle, multiplied by the radius and divided by the degree of the circle.

Since, radius is not given let's assume it 20.

In this case, the central angle AOB has a measure of 110 degrees, and the radius of the circle is 20. Therefore, the measure of the arc AB is:

AB = (110/360) * 20 * 2 * π

or

AB = (110/360) * 20 * π

where π is the mathematical constant (approximately equal to 3.14).

So, the measure of the arc AB is (110/360) times the circumference of the circle, or (110/360) of the total length of the circumference.

The most accurate value for AB is 37.699111843077516 (approximately)

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Elimination is a method used to solve systems of linear equations with two or more variables. One possible method to solve a equation with 3 variables using elimination is solving algebraically.

To use elimination to solve a system of equations with three variables, you can follow these steps:

1. Write the system of equations. For example, if you have the equations:

3x + 2y - z = 5

2x - 4y + 2z = 6

5x - 2y + 3z = 10

2. Multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say y in two of the equations.

3. Next, you can multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say x in two of the equations.

4. Now substitute this value of z in the first or the second equation to solve for x

5. Now substitute this value of x and z in the second equation or any other equation to solve for y

This is one possible way to use elimination to solve a system of equations with three variables. Depending on the specific problem, there may be different ways to eliminate variables, but the general idea is to use scalar multiplication and addition or subtraction to create a new equation with one variable having the same coefficient but with opposite signs. One can also use Gaussian elimination or matrix inversion method.

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Answer:

B) If you don't do you homework, then you can't go to the movies

Answer:

Since A, O and B are collinear,

i.e.,

∠

A

O

B

=

180

∘

or,

∠

A

O

D

+

∠

D

O

C

+

∠

B

O

C

=

180

∘

(

x

−

10

)

∘

+

(

4

x

−

25

)

∘

+

(

x

+

5

)

∘

=

180

∘

Or,

x

+

4

x

+

x

−

10

∘

−

25

∘

+

5

∘

=

180

∘

Or,

6

x

−

30

∘

=

180

∘

Or,

6

x

=

180

∘

+

30

∘

=

210

∘

Or,

x

=

210

∘

6

=

35

∘

∠

B

O

C

=

x

+

5

∘

=

35

∘

+

5

∘

=

40

∘

Answer:

just add all the numbers

Step-by-step explanation:

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Answer:

The answers is 17.2 miles

Step-by-step explanation:

Answer:

1.74*10^-2

Step-by-step explanation:

use as decimal with ones place times 10 to the powe of minus something

Answer:

yesjsjsjsjsjsjsjsjdjsj

Answer:

[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]

Step-by-step explanation:

The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].

Answer:

[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]