Mathematics High School

look at the image below lol

Answers

Answer 1

Answer:

1.7.

Step-by-step explanation:

2x^3 + 9x^2 - 2x + 8 = 40

Substituting values for x in the range 1 to 2:

when x = (1.1):

f(1.1) = 2(1.1)^3 + 9(1.1)^2 - 2(1.1) + 8 = 19.32.

x = 1.3:

f(1.3) = 25.004

F(1.5) = 32

F(1.6) = 36.032

F(1.7) = 40.436 which is just greater than 40.

So the root is between 1.6 and 1.7.

f(1.65) = 38.19

Therefore the root is > 1.65 and < 1.7

and to 1 DP it is 1.7.

Related Questions

What is the surface area of the
triangular prism shown?

Answers

Answer:

1120^2

Step-by-step explanation:

25x17=425

425+(8x25)=625

625+(8x15)=745

745+(15x25)=1120

7th grade math!!!!!! HELP!

Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?

A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4

Answers

The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

P(x) = x⁴ + x³ − 6x² − 4x + 8

P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8

By the synthetic division, we have

2 ║ 1 1 − 6 − 4 8

2 6 0 − 8

1 3 0 − 4 0

x³ 3x² − 4

By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.

More about the Algebra link is given below.

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somebody please help me on this.

Answers

No of outcomes =8
P(odd)=1/2
P (<6)=5/8
Required probability of P(odd) and P (<6) = 1/2*5/8=5/16

A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no

Answers

Yes

Step-by-step explanation:

Because the sides of this triangle follow the Pythagorean Theorem.

i.e.

[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]

[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]

SURFACE AREA QUESTION: the cargo area of the moving truck will be completely filled by 45 identical cube-shaped boxes. What will be the Surface area of one layer of boxes on the floor of the truck bed. (the truck has a height of 6 ft, a length of 6ft, and a width of 10ft.)

Answers

I believe it is 312, hope this helps, sorry if it doesn't!:)

How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152

Answers

Add up all the numbers and divide by the amount of numbers
117 + 119 + 138 + 142 + 152 + 152 + 174 + 182 = 1176 : 8 = 147

6•(x•9) simplified please

Answers

6x+54 should be the answer

Answer:

6x+54 should be the answer

Step-by-step explanation:

24. Use the intercepts to graph the equation.

Answers

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)

Finding y-intercept

Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

Simplify 3(2x+6)+4x-1

Answers

10x + 17 use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Answer: 10+17

Step-by-step explanation:

Distribute:

3(2+6)+4−1

6+18+4−1

Subtract the numbers:

6+18+4−1

6+17+4

Combine like terms:

6+17+4

10+17

solution:

10+17

A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up

Answers

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102

how i would do it is first do 68 divided by 2 bc that would be 1/2or 50% so that is 34$ so the i would do 68$+34$=102$ but the question is how much was the markup so its 34$. and you can confirm im right by putting in 68x50% in the calculator

question 1. write the product using exponents

Answers

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

PLEASE I NEED YOUR HELP ASAP!!!!!

Answers

Answer:

7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

Inequality solution

5 -x > 2x -7

12 > 3x . . . . . add x+7

4 > x

domain restrictions

The domain of f(x) requires that its argument be non-negative.

5 -x ≥ 0 ⇒ x ≤ 5

2x -7 ≥ 0 ⇒ x ≥ 7/2

full solution

Together with the domain restriction on f(x), the solution to the inequality is ...

7/2 ≤ x < 4

Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?

Answers

Answer : 4 6 7 11 12
Solution :

Another possible solution is 5, 6, 7, 10, 12

Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.

Answers

Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

V ∝ TV ∝ 1/P

Using T :

V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 K

Using P :

P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPa

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831

B 42,938

C 298,893

D 326,894

Answers

Answer:

it's option B 42,938

Step-by-step explanation:

in the question the value of 2 in 135,284 is 200

200× 10 =2000

therefore the number with 2 in thousands place is option B 42,938

1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?

Answers

Answer:

more than what i have

Step-by-step explanation:

Chen is given the graph below.

What type of graph is shown, and what is the growth factor?
linear function; growth factor of 2
linear function; growth factor of 4
exponential function; growth factor of 2
exponential function; growth factor of 4

Answers

Linear function; growth factor of 4

Hi pls how do I find the volume of a short cylinder

Answers

the formula would be pie times r squared TWICE for the circles and then pie times d (diameter) times h (hight) for the unfolding rectangle

Answer:

You find the volume of a cylinder with the formula of π × r² × h

what is the weight of a rectangular prism with the length of 1.75 width of 3.5 and a height of 7

Answers

Answer:

13.125

Step-by-step explanation:

please solve for me. please be correct

Answers

given ,

x/12 = -4

=> x = -48

Hope it helps you.

Answer: x=-48.

The answer to x is -48. Hope this helps!

The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.

Answers

By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.

How to find the length of side x?

In the image, we can see that the equilateral triangle can be divided into two right triangles.

If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.

Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:

[tex]x^2 + 2.5^2 = 5^2[/tex]

[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]

Then we conclude that side x measures (5/2)*√3 units.

If you want to learn more about right triangles:

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Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)

Answers

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number

Answers

A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage change is given by the formula,

Percentage change = |(Intial Value - Final value)|/Initial Value × 100%

Percentage Change = |3200-3890|/3200 × 100% = 21.56%

Hence, the percentage increase in the number of tigers is 21.56%.

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[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]

Answers

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

The prism shown represents a storage bin for a barn. The dark face will be open to allow people to place items inside.
A net of a triangular prism. Face A is shaded.

Which face of the net represents the open face of the prism?
A
B
C
D

Answers

Answer:

its A

Step-by-step explanation:

Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d

Answers

The information about the how to open a comic book store should be included in the b. organizational plan.

What is organizational plan?

An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.

Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.

Learn more about organizational plan at;

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Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d

Answers

The label on the cone that represents the diameter of the cone is the letter C

How to determine the correct label?

From the figure in the complete question, the line C divides the base circle into two equal segments

The above is the same as the definition of the diameter

Hence, the label that represents the diameter of the cone is the letter C

Answers

Given the radius r and the tangent line AB, the length of the line OA is 24 units

How to determine the length OA?

The radius r and the tangent line AB meet at a right angle.

By Pythagoras theorem, we have:

AB² = OA² + r²

So, we have:

24² = OA² + 7²

Rewrite as:

OA² = 24² - 7²

Evaluate

OA² = 527

Take the square root of both sides

OA = 23

Hence, the length of OA is 24 units

Answers

Answer:

g(x) = 2ˣ⁻¹ + 3

Step-by-step explanation:

f(x) = 2ˣ

Translated 1 unit right

Represented by (x - 1)f(x - 1) = 2ˣ⁻¹

Translated 3 units up

Represented by adding 3g(x) = 2ˣ⁻¹ + 3

Answer:

Well if its a translation on the x-axis the formula would be g(x) = -2×

Although Functions are not my strong suit

I hope i got this right!

subtract the sum of t and r from s

Answers

Answer:

s-(t+r)

Step-by-step explanation:

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