Identify the range of the function shown in the graph.

Answer:

Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1

Step-by-step explanation:

The function is given as;

f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16

Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.

A zero is the value of x that will make the polynomial equal to zero.

Let's try;

x = -2;

f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16

f(-2) = -128 + 24 - 44 - 16 + 16

f(-2) = -148

Let's try x = -1;

f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16

f(-1) = -8 + 3 - 11 - 8 + 16

f(-1) = -8

Let's try x = 0;

f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16

f(0) = 16

Lets try x = 1

f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16

f(1) = -8 - 3 - 11 + 8 + 16

f(1) = 2

Let's try x = 2;

f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16

f(2) = -128 - 24 - 44 + 16 + 16

f(2) = -164

From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.

Answer:

[tex]x^{2} -36 = 5x[/tex]

[tex]x^{2} -5x -36 =0[/tex]

(x-9)(x+4) = 0

x = 9 or x= -4    

Step-by-step explanation:

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

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

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

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

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

Answer:

3053 in^3

Step-by-step explanation:

volume of a sphere is 4/3*pi*r^3

Diamaeter is 2*r

so r=9

7/3*(3.14)*9^3=3053.63 so answer is D or the bottom

Answer: (b)

Step-by-step explanation:

Given

Point P can be written as [tex]z=2-5i[/tex]

Distance of Point P can be given by [tex]\left | z \right |[/tex]

[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]

Thus, option (b) is correct.

Answer:

the answer is b

Step-by-step explanation:

Answer:

1. The given equation is presented as follows;

[tex]3^{2 \cdot x - 1} = \dfrac{1}{9}[/tex]

The above equation can be rewritten as follows;

[tex]3^{2 \cdot x - 1} = 3^{-2}[/tex]...(1)

Therefore, taking logarithm to base 3 of both sides of the equation, the above equation can be rewritten without an exponent as follows;

[tex]log_3 \left (3^{2 \cdot x - 1} \right) =log_3\left(\dfrac{1}{9} \right) = log_3 \left( 3^{-2} \right)[/tex]...(2)

2. Inverse relationship of exponents is given as follows;

(1/a)ˣ = a⁻ˣ

Therefore, we have;

1/9 = 1/(3²) = (3²)⁻¹ = 3⁻²

Taking log of both sides of [tex]\left (3^{2 \cdot x - 1} = \dfrac{1}{9} = 3 ^{-2}\right)[/tex] gives;

[tex]log_3 \left (3^{2 \cdot x - 1} \right)= log_3 \left( 3^{-2} \right)[/tex]

From logarithm rules, we have;

From equation (2), we have;

[tex](2 \cdot x - 1) \cdot log_3 3 = -2 \cdot log_3 3[/tex]

Therefore, the equation can be simplified by dividing both sides by the common factor, [tex]log_3 3[/tex], as follows;

[tex]\dfrac{(2 \cdot x - 1) \cdot log_3 3 }{log_3 3} = \dfrac{-2 \cdot log_3 3}{log_3 3}[/tex]

Therefore, we get;

2·x - 1 = -2...(3)

3. Solving 2·x - 1 = -2, gives;

2·x - 1 = -2

2·x = -2 + 1 = -1

x = -1/2 = -0.5

x = -0.5

EQUATION 3

The given equation is presented as follows;

[tex]125^{x - 1} = 5^x[/tex]

1. By the property of exponents, we have;

[tex]\left(a^b \right)^x = a^{b \times x}[/tex]

125 = 5³

Therefore, we get;

[tex]125^{x - 1}= \left(5^3\right)^{x - 1} = 5^{3\times (x - 1)} = 5^{(3\times x - 3)}[/tex]

[tex]125^{x - 1}= 5^{(3\times x - 3)}[/tex]

2. Given that we can rewrite the given equation as follows;

[tex]125^{x - 1} = 5^{(3\times x - 3)} = 5^x[/tex]

Therefore;

[tex]5^{(3\times x - 3)} = 5^x[/tex]

Both sides of the equation are given in powers of 5, therefore, the appropriate base logarithm to use on both sides to rewrite the equation is logarithm to base 5

3. Using logarithm, by applying logarithm to both sides, we get;

[tex]log_5 \left (5^{(3\times x - 3)} \right) = log_5 \left(5^x \right)[/tex]

[tex](3\times x - 3) \cdot log_5 5 = x \cdot log_5 5[/tex]

Dividing both sides by log₅5 gives;

[tex]\dfrac{ (3\times x - 3) \cdot log_5 5}{log_5 5} = \dfrac{ x \cdot log_5 5}{log_5 5}[/tex]

∴ 3 × x - 3 = x

3 × x - x = 3

2·x = 3

x = 3/2 = 1.5

x = 1.5

Step-by-step explanation:

Answer:

11:30 A.M.

Step-by-step explanation:

Answer:

11:30

Step-by-step explanation:

12.05- 35 min and its 11:30

hope that helps bby<3

Answer:

8910cm^2

Step-by-step explanation:

Since there is no photo ill just multiply the 4 measurements

9x6x15x11

What's the shape? I'll be more than glad to help but I don't see the shape below. Comment underneath this and I'll try helping out.

Answer:

measure of angle GEO.....

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

Answer:

-15

Step-by-step explanation:

7-15xz

Answer:

Part A:

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)

Part B:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

Step-by-step explanation:

Part A:

Given [tex]5+x-12=x-7[/tex], combine like terms:

[tex]x-7=x-7[/tex]

Add 7 to both sides:

[tex]x=x[/tex]

Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].

Therefore,

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).

Part B:

Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

Step-by-step explanation:

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?

hi please mark me as brilliant

Answer:

i have no clue

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

it is because 7 is behind the variables

Answer:

C

Step-by-step explanation:

Answer:

About 255

Step-by-step explanation:

$30 x 8.5= $225

Answer:

8/17

Step-by-step explanation:

take angle A as reference angle

using sin rule

sin A = opposite / hypotenuse

sin A = 16/34

sin A = 16/34

sin A = 8/17

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

Answer: Should be the graph with the slope of (3/2)

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]

Answer:

Width=5m

Lenght= 20m

Step-by-step explanation:

L= Lenght

W= width

perimeter = (2L + 2W) ......eqn(1)

From the question, length of the rectangle is 4 times of it's width

Then

L = (4W)........eqn(2)

But perimeter = 50

Fromeqn(1)

(2L + 2W)= 50........eqn(3)

Sub eqn(1) in eqn(3)

2(4W) + 2W = 50

8W + 2W= 50

10W= 50

W=5

From (1)

L = (4W)

L= 4×5= 20

Lenght= 20

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

Answer:

5 blue tiles on each row

Step-by-step explanation:

Given

[tex]Tiles = 80[/tex]

[tex]Rows= 8[/tex]

[tex]Color = \{White, Blue\}[/tex]

[tex]White = Blue[/tex]

See comment for original question

Required

The number of blue in each row

First, we calculate the number of tiles in each row.

[tex]Unit = \frac{Tiles}{Rows}[/tex]

[tex]Unit = \frac{80}{8}[/tex]

[tex]Unit = 10[/tex]

The distribution of tiles on each row is:

[tex]White + Blue = Unit\ Tiles[/tex]

[tex]White + Blue = 10[/tex]

On each row, we have: [tex]White = Blue[/tex]

So, the equation becomes

[tex]Blue + Blue = 10[/tex]

[tex]2\ Blue = 10[/tex]

Divide both sides by 2

[tex]Blue = 5[/tex]