Factorise x2 + x - 30

Answer:

[tex]S \: is \: between \: R \: and \: T.[/tex]

Answer:

S is between R and T.

Step-by-step explanation:

Hi there!

The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.

For example, take the equation y = x².

Using the power rule, we get:

y' = 2x

If we plug in any x-value into this equation, we can find the slope of the function at any point.

Ex:

x = 0; 2(0) = slope of 0

x = 2; 2(2) = slope of 4

Answer: A(b+c)

Step-by-step explanation: Since you're multiplying A and A you would add the B+C

Answer:

a(b + c)

Step-by-step explanation:

Answer:

A= [tex]4x+8[/tex]

B= [tex]8x+6x \\or\\ 16x[/tex]

C= [tex]8x+12[/tex]

D= [tex]6x+6y+6z[/tex]

Step-by-step explanation:

Distributing, or the means to divide something/create a share or part of something is when we multiply the sum of two or more addends by a number to achieve the same result as multiplying each addend individually by the number then adding the products together.

With this said, part A would look like this:

[tex]4(x+2)\\4(x) + 4(2) = ?\\4x + 8[/tex]

Now, the problem doesn't specifically state to solve the problem, but if you wanted too it would look like this:

[tex]4x + 8=0\\-8 \\4x=-8\\divide 4\\4=GCF\\x=-2[/tex]

Since we are just looking for the equation, the following problems would appear as so:

B:

[tex](6+8)*x\\x(8) + x(6)\\8x+6x\\14x[/tex]

C:

[tex]4(2x+3)\\4(2x)+4(3)\\8x+12[/tex]

D:

[tex]6(x+y+z)\\6(x) +6(y)+6(z)\\6x+6y+6z[/tex]

Another way to view the distributive property is that your distributing the number outside the parenthesis to all the number inside as such.

I would be happy to help you again in the future and hope that this provided you with some clarification! Have a nice day! :D

Answer:

1: 1.268, 1.265, 1.256

2: $16.42

Step-by-step explanation:

I did the math.

Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that [tex]\frac{dr}{dt} = 4[/tex]

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]

[tex]\frac{dV}{dt} = 1508[/tex]

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Answer:

C. 7

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 7x + 3

Step 2: Break Function

Identify Parts

Slope m = 7

y-intercept b = 3

Answer:

61.2

Step-by-step explanation:

9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

For positive numbers, multiplying by a factor greater than 1 increases their value:

  (1/2) × 2 = 1 > 1/2

For negative numbers, multiplying by a factor greater than 1 decreases their value:

  (-1//2) × 2 = -1 < -1/2

So, "sometimes" the product will be less than the given fraction.

Answer:

8x² - 14x - 15

Step-by-step explanation:

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

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

Answer:

The fourth option

lwoeofpxs kfi wn ee's osoakem

Step-by-step explanation:

owlekdx9zinqrnxiz n.v w w d f ds no wkw

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.

Answer:

a salesman make 5000+0.2

total 5000+5000.2=10000.2

Answer:

0.9

Step-by-step explanation:

1 1/2 = 1.5

6/10 = 0.6

1.5 - 0.6 = 0.9

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

Answer:

16

Step-by-step explanation:

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

Answer:

The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with  

N  sides.  It is equal to   360 o N .

Step-by-step explanation:  

Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.  

However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to  360 o .

It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of  

360 o . So, if all exterior angles are equal, like in a regular polygon, each one equals to  360 o N .

It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is  ( N − 2 ) ⋅ 180 o .  

Dividing the above by  N

we will obtain a value of an interior angle:  ( N − 2 ) ⋅ 180o N .  

Therefore, exterior angle of a regular polygon is  180 o − ( N − 2 ) ⋅ 180 o N = 360 o N

Answer:

1) 2 5/9

2) 4 5/6

3) 4 3/8

4) 5 3/5

5) 7 1/3

6) 6 1/9

7) 7 1/8

8) 2 2/9

9) 5 3/4

Step-by-step explanation:

Hope this helps

Answer:

The answer is A

30