Which of the following represents the factorization of the trinomial below?
x2 - 17x+ 30
A. (x-3)(x-10)
B. (x-2)(x+15)
C. (x-2)(x-15)
D. (x-3)(x +10)

Step-by-step explanation:

everything can be found in the picture

Answer:

30

Step-by-step explanation:

that is the procedure above

Answer:

Yes. Factored form.

Step-by-step explanation:

Answer:

yes, and it's in intercept form

Step-by-step explanation:

Hi there!

We are given the function f(x)=-2(x-4)(x+3)

A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)

There are 3 forms to write a quadratic function:

standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)

vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex

intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts

You may notice that  f(x)=-2(x-4)(x+3)  is actually in intercept form; a is -2 and  [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are  [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of  -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).

If the formula is in intercept form, it should be quadratic.

However, if you want to be sure it's quadratic, you can expand the function.

f(x)=-2(x-4)(x+3)  

first, multiply the binomials together using FOIL

(x-4)(x+3)

x²-x-12

now multiply x²-x-12 by -2

-2(x²-x-12)

do the distributive property

-2x²+2x+24

It's a quadratic function! The value of the highest exponent is 2 :)

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

I'm  so sorry I did not mean to answer! Ignore my response

Step-by-step explanation:

Step-by-step explanation:

quadratic formula

-b+-√b^2

2a

-2+-√2^2-4×1×-16

2×1

-2+-√68

2

either

x= 3.125

or

x= -5.125

Answer:

504/8=63/6=10.5

10 rooms per floor with 3 leftover

Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

Answer:

3x +3

Step-by-step explanation:

3x + 1 + 2units(on the x axis)= 3x +3

Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

Answer:

18

Step-by-step explanation:

2/6

4/12

6/18

Answer:

x = 18

Step-by-step explanation:

We can write ratios

2      2+4

---- = -----

6       x

Using cross products

2x = 6(2+4)

2x = 6(6)

2x = 36

Divide by 2

2x/2 = 36/2

x = 18

Answer:

I believe the question was written twice on accident

y=7x-38

Step-by-step explanation:

y-4=7(x-6)

y-4=7x-42

y=7x-38

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Answer:

[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]

General Formulas and Concepts:

Multivariable Calculus

Cylindrical Coordinate Conversions:

Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²

Plane z = 2

Step 2: Find Volume Pt. 1

Find bounds of z.

∴ 0 ≤ r ≤ 2√3

Step 2: Find Volume Pt. 2

∴ 0 ≤ θ ≤ 2π

Step 3: Find Volume Pt. 3

∴ 2 ≤ z ≤ √(16 - r²)

Step 4: Find Volume Pt. 4

∴ the volume of the region is found with the integral above.

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Topic: Multivariable Calculus

Unit: Triple Integral Applications

Answer:

B

Step-by-step explanation:

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

[tex]5^{15} * 5^{5}[/tex]

= [tex]25^{20\\}[/tex]

Answer:

4.196.754

Step-by-step explanation:

god bless stay safe po

Answer:

Answer: (C)A picnic table is on sale for 60 percent off.

Step-by-step explanation:

well someone copied me but okay :[

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

Answer:

x = 15

LN and MO both equal 43

Step-by-step explanation:

LN and MO are diagonals in rectangle

Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13

Now we solve for x

4x - 17 = 2x + 13

Add 17 to both sides

4x = 2x + 30

Subtract 2x from both sides

2x = 30

Divide both sides by 2

x = 15

Now we want to find the values of LN and MO

To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )

LN = 4x - 17

Substitute 15 for x

4(15) - 17

Multiply

60 - 17

Subtract

LN and MO = 43

The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (3m⁻⁴)³ (3m⁵)

Now, We can simplify as;

⇒ (3m⁻⁴)³ (3m⁵)

⇒ (3³m⁻¹²) (3m⁵)

⇒ (27m⁻¹²) (3m⁵)

⇒ 81 m⁻¹²⁺⁵

⇒ 81 m⁻⁷

⇒ 81 / m⁷

Thus, The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

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Answer:

9 units^3

Step-by-step explanation:

V = l*w*h

   = 1 1/2 * 4 * 1 1/2

Change to improper fractions

  = 3/2 * 4 * 3/2

   = 36/4

   = 9 units^3

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

Answer:

the answer is 220

Step-by-step explanation:

the formula for surface area of a rectangular prism is A=2(wl+hl+hw)

w = width

h= height

l = length

and when you have those lengths, you have to substitute.

Answer:

300km

Step-by-step explanation:

if 1 hr=80

then take 80 and multiply it by 3.75

hope this helps!

please give brainiest if you want<3

Answer:

300km

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Answer:60

Step-by-step explanation:

300 of 20% is 60

The number of qualified customers for the discount will be 60.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.

The number of qualified customers will be calculated as below:-

The qualified customers are 20% of 300.

Number = 300 x (20/100)

Number = 300 x 0.2

Multiply the number 330 with 0.2 to get the final value.

Number = 60

Therefore, the number of qualified customers for the discount will be 60.

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