The long side of a rectangle is 2b + 3 units, and its area is 2b ^ 2 - 5b - 12 Find the width .

Answer:

A

Step-by-step explanation:

the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped

Answer:

I believe its 34

Step-by-step explanation:

because for example the first 2 numbers are both 1 and 1 + 1 is 2 which is the 3rd number and 13 + 21 is 34 I really hope this helped

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Answer:

D. 125cm

Step-by-step explanation:

Round each number for an estimate so you get 5 x 5 x 5 = 125

Answer:

Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.

Step-by-step explanation:

Answer:

Radius, r = 2.80 cm

Step-by-step explanation:

Given the following data;

Volume of cylinder = 207 cm³

Height = 8.4 cm

Pie, π = 3.14

To find the radius of the water bottle;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a cylinder.

r represents the radius of the cylinder.

h represents the height of the cylinder.

Substituting into the formula, we have;

207 = 3.14 * r² * 8.4

207 = 26.376r²

r² = 207/26.376

r² = 7.85

r = √7.85

Radius, r = 2.80 cm

Answer:

A. -5< x≤10

Step-by-step explanation:

7x>-35 and -5x ≥ -50

7x>-35

x>-5

-5x ≥ -50

x≤ 10

so, the result is:

-5< x ≤10

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

Y = 0.09X1 - 167.40

Step-by-step explanation:

Year (X) : 2000, 2004, 2006, 2007, 20008

Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77

Using technology, the regression model obtained is :

Y = 0.09X1 - 167.40

With a slope of 0.09 and intercept of - 167.40

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

Number 7: D. 378 ft

And I'm Not Sure About The Others

Step-by-step explanation:

Answer:

question 8 : 157 m²

Step-by-step explanation:

cone volume:. π×r²×h/3

3,14×25×6/3 = 157 m²

Answer:

y = |x + 2| - 5

Step-by-step explanation:

Here's the solution,

nth term = n² - 3

So, 4th term :

=》(4)² - 3

=》16 - 3

=》13

4th term of the sequence is 13

now, let's assume that 40 is a number in the sequence, then

=》40 = n² - 3

=》40 + 3 = n²

[tex]n = \sqrt{43} [/tex]

but, the term of the sequence should be a natural number, so our assumption was wrong, hence 40, can't be a number of this sequence.

Answer

36.45?

Step-by-step explanation:

I think you just divide 85 by 35 and multiply 15 with that answer. 85/35 = 2.43

15x2.43 = 36.45

Answer:

308 (Third Option)

Step-by-step explanation:

Have a Great Day! :D

Step-by-step explanation:

X=63 and Y=27 is the correct answer.

Answer:

It's Tan.

Multiple Thumbs-up ^_^

Answer:

I think iit's no consistent

Step-by-step explanation:

no consistent because there is no multiplying happening and no consistent adding happening

==============================================================

Explanation:

f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.

x^2-2x+3 = -6x

x^2-2x+3+6x = 0

x^2+4x+3 = 0

(x+3)(x+1) = 0 .... see note below

x+3 = 0 or x+1 = 0

x = -3 or x = -1

Note: 3 and 1 multiply to 3, and also add to 4.

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

Once we get the x values, we plug them into either equation to find the y value.

So if x = -3, then

f(x) = x^2-2x+3

f(-3) = (-3)^2-2(-3)+3

f(-3) = 9 + 6 + 3

f(-3) = 18

or we could say

f(x) = -6x

f(-3) = -6(-3)

f(-3) = 18

Both versions produce the same output when x = -3.

The second version is easier to work with.

Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.

-----------

We'll use this idea for x = -1 now

f(x) = x^2-2x+3

f(-1) = (-1)^2-2(-1)+3

f(-1) = 1 + 2 + 3

f(-1) = 6

or we could say

f(x) = -6x

f(-1) = -6(-1)

f(-1) = 6

Like before, both versions of f(x) produce the same output when the input is x = -1.

The other solution is (-1, 6)

Answer:

The answer is 24 cracks will be filled

Step-by-step explanation:

hope it helps :3

16 ounces in a pound.  convert pounds  to ounces

calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.

The amount of cracks to be filled : 48 /2  = 24 cracks

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ4

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

9514 1404 393

Answer:

  yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

__

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

__

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

__

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation: