Given that f(x) = x^3 + 2x^2 + 1, g(x) = −x^3 −x^2 −4x+ 4, h(x) = f(x) +g(x), and h(x) = 1, what is the value of x?

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus

h(x) = f(x) + g(x) = x² - 4x + 5

Given

h(x) = 1, then

x² - 4x + 5 = 1 ( subtract 1 from both sides )

x² - 4x + 4 = 0 ← in standard form

(x - 2)² = 0 ← in factored form ( perfect square ), thus

x - 2 = 0 ⇒ x = 2


Related Questions

Mark is converting £225 into $. He knows that £1 = €1.15 and €1 = $1.21. How many $ will Mark get? Give your answer to 2 dp. what is it

Answers

Answer: $313.09

Step-by-step explanation:

£1 = €1.15

£225 = 225 * 1.15 = €258.75

€1 = $1.21

€258.75 = 258.75 * 1.21 = $313.09

Answer:

$313.09

Step-by-step explanation:

£1= €1.15

therefore £225 =225×1.15

which is =€258.75

and since €1=1.21

therefore €258.75 =$258.75×1.21

which is =$313.0875

in 2 dp answer= $313.09

Uptown Dance is a dance studio that chargers clients for dance lessons. On a Saturday afternoon, 38 people came for a dance class. Uptown Dance made $1,330 that afternoon. How much do they charge per person?

Answers

Answer:

They charge $35 per person.

Step-by-step explanation:

If they made $1,330 and 38 people came that afternoon then

$1,330 divided by 38

= $35

One of Tyler’s chores is to feed the chickens. Two bags of chicken feed will last 5 days. How many days will 8 bags of chicken feed last? Can u please put the proportion? pls

Answers

Answer:

20days

Step-by-step explanation:

1 bag feed : 5/2 = 2.5 days

8 bags feed : 2.5*8 = 20 days

What is equivalent to 2 1/4

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

9/4 is the mixed fraction version.

Step-by-step explanation:

SO it would aslo be equivalnet

Tanner calculates the volume of a rectangular prism with dimensions ft by 5 ft by ft. His work is shown below.




What error did Tanner make?

He multiplied the numerators incorrectly.

He multiplied the denominators incorrectly.

He simplified incorrectly.

He wrote 5 as a fraction incorrectly.

Answers

Answer:

He multiplied the denominators incorrectly

(COMPLETING THE MISSING PARTS OF THE QUESTION)

Tanner calculates the volume of a rectangular prism with dimensions of three by four feet by five feet by one half feet.

His work is shown below:

V = L.W.H

V = (3/4)(5/1)(1/2) = ((3)(5)(1)) / ((4)(1)(2)) = 15/6 = 2.5

What error did Tanner Make?

Solving the Question:

We know that volume is given by:

V = L.W.H

where

L = 3/4 ft

W = 5/1 ft

H = 1/2 ft

Find V:

[tex]V = \frac{3}{4}\cdot\frac{5}{1}\cdot\frac{1}{2}\\\\V=\frac{3\cdot5\cdot1}{4\cdot1\cdot2}\\\\V=\frac{15}{8}\\V=1.875[/tex]

As the product of denominators is 8, not 6 as to per Tanner's calculations, he multiplied the denominators wrong

Answer:

b

Step-by-step explanation:

plz help me with these 2 problems ill mark u brainliest

Answers

Answer:

OK, here you go

Step-by-step explanation:

These are the nets  

Please help this is very easy!!!!!!!

Answers

Answer:

7/6

Step-by-step explanation:

7/8 * 4/3

7/2 * 1/3

7/6

Answer:

When you divide a fraction, make the second number the reciprocal. Then multiply them.

So it is

3/4 = 4/3

7/8 * 4/3 = 28/24

28/24 is the answer

Simplified = 7/6 or 1 1/6

Type the correct answer in each box.
A circle is centered at the point (-7,-1) and passes through the point (8, 7).
The radius of the circle is
units. The point (-15,
) lies on this circle.
Reset
Next

Answers

Answer:

17 units

Step-by-step explanation:

The radius r is the distance from the centre of the circle to a point on it.

To calculate r use the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)

r = [tex]\sqrt{(8+7)^2+(7+1)^2}[/tex]

  = [tex]\sqrt{15^2+8^2}[/tex]

  = [tex]\sqrt{225+64}[/tex]

   = [tex]\sqrt{289}[/tex]

   = 17

Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.

A=[sqrt3/2 -1/2]
1/2 qrt3/2

30
60
50
210

Answers

Answer:

30 is the answer to the first question and 108 is the answer to the second question

Step-by-step explanation:

Just took the test on Edge 2020

Answer:

30

108

Step-by-step explanation:

Solve this equation. Explain your reasoning.
1/2×+3/4=9​

Answers

Answer:

33/2

Step-by-step explanation:

Multiply both sides by 4 to get rid of fractions

2x + 3 = 36

Subtract 3 from both sides

2x = 33

Divide by 2

x=33/2

Question 1(Multiple Choice Worth 4 points)
(05.08A)The figure below shows three quadrilaterals on a coordinate grid
3
113
0
Which of the following statements is true about the three quadrilaterals?
M and O are similar and congruent.
O and N are similar and congruent
M and N are similar but not congruent.
M and O are similar but not congruent,

Answers

Answer:

The actual answer is D

Step-by-step explanation:

I took the test and got a 100 :)

Answer: The answer is (D) :D

Plz help me it’s emergency

Answers

Answer:

Profit Percentage: 67.29%

Step-by-step explanation:

Mia spent 50*$28 = $1,400

From batch 1, she earned $1,862

From batch 2, she earned $480

In total, her net earnings are $942

Net Profit Margin: 40.22%

Profit Percentage: 67.29%

which one

A.

B.

C.

D.

Answers

B. is correct! Hope this helps!

Answer:

Answer:B

Step-by-step explanation:

7/8 x 3/5 = 0.525 and 0.525 as a fraction is 21/40.

A rectangle has a height of 4xand a width of 3x+ 1.
Express the area of the entire rectangle.

Answers

Answer:

12x² + 4x

Step-by-step explanation:

Area rectangle = height * width = 4x(3x + 1) = 12x² + 4x

Eveline made a scale drawing of a patio she is planning to build. NEED NOW WILL MARK BRAINLIEST AND WILL BE SO HAPPY AND WILL CURE MY DEPRESSION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1 centimeter = 2.5 meters. Triangle A B C. Side A is 12 centimeters, side B is 5 centimeters, and side C is 13 centimeters. Which proportion could Eveline use to find the length of side A? StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction

Answers

Answer:

I believe the answer is B.

I couldn't read the problem very well, so please tell me if I'm wrong!

I hope I helped and if I was correct, please mark!

Explanation:

Answer:

B

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction

1/2.5 cm/m= 12/x cm/m

Step-by-step explanation:

Please mark brainliest!

What is the interquartile range of this data?


6

7

8

9
Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five-number summary from left to right 18, 25, 28, 33, and 42

Answer asap who every answer first I will give brainiest. and it must be a real answer.

Answers

Answer:

8

Step-by-step explanation:

I just took the test!

Neal power walks to stay in shape. He
follows a path that is 2.85 miles long.
Last week, Neal power walked this path
6 times. How many miles did Neal
power walk last week?
O A 1.7 miles
O B 17.1 miles
O C 171 miles
OD 1,710 miles

Answers

Answer:

He walked 17.1

Step-by-step explanation:

If you do 2.85 times 6 you'll get that answer.

Your welcome!

3 = x/3.3 What is x?

Answers

Answer:

The answer is 9.9

Step-by-step explanation:

3.3 times 3 is 9.9

The solution to the equation 3 = x/3.3 for x is x = 9.99

How to determine the solution to the equation for x

From the question, we have the following parameters that can be used in our computation:

3 = x/3.3

Rewrite the equation as

x/3.3 = 3

Multiply 3.3 to both sides of the equation

so, we have the following representation

3.33 * x/3.3 = 3 * 3.33

Evaluate the products on the right hand side

This gives

3.33 * x/3.3 = 9.99

Evaluate the products on the left hand side

This gives

x = 9.99

Rewrite as

x = 9.99

Hence. the solution is x = 9.99

Read more about equations at

https://brainly.com/question/32492977

#SPJ6

A. 167 sq. in
B. 248 sq. in
C. 340 sq. in
D. 375 sq. in ​

Answers

Answer:

find the area of all the shapes

Base x height / 2 = area of triangle

12x10=120/2=60

there are 4 triangles so 60 x 4 = 240 square inches

length x width = area

10 x 10 = 100

240+100=340

C. is the answer

Hope this helps

Step-by-step explanation:

Find the equation of the line passing
through the points (2, 1) and (5, 10).
y = [? ]x + [ ]

Answers

Answer:

[tex]y=3x-5[/tex]

Step-by-step explanation:

[tex]m=10-1/5-2[/tex]

[tex]m=9/3[/tex]

[tex]m=3[/tex]

[tex]y=3x+b[/tex]

[tex]x=2, y=1[/tex]

[tex]1=3(2)+b[/tex]

[tex]1=6+b[/tex]

[tex]-5=b[/tex]

[tex]y=3x-5[/tex]

If 35gm of pure drug are contained in 150ml, how many grams are contained in 75ml?

Answers

this method can be very useful, so please try to remember it

Please answer correctly !!!! Will mark brainliest !!!!!

Answers

Hi there!

f(x) = − 4x/5 − 8/5

Hope this helps !

A regular heptagon has an apothem of approximately 6.7 cm and a perimeter of approximately 45.5 cm.
Find the area of the heptagon.

Answers

Answer:

304.85 cm²

Step-by-step explanation:

The area (A) of a polygon is calculated as

A = pa ( p is the perimeter and a the apothem ) , thus

A = 45.5 × 6.7 = 304.85 cm²

PLEASE HELP!!!! DUE TODAY

Answers

Answer:

Step-by-step explanation:

$ 86,000 lies in the category $84201 - $ 160725

Tax = 14,382.50+ 24% of the amount over $84,200  

Amount over $84,200= 86,000 - 84,200 = $1,800

Tax for the amount $ 1,800 =24% * 1800 = 0.24 * 1800

                                             = $ 432

Tax for the amount $86,000 = 14382.50 + 432

                                               =$ 14814.50

math question is attached below
and please provide the right answer and show your work.

Answers

14 units, do 3.14•9 then divide by 2

Answer:

[tex]V=37.68 \text{ units}^3[/tex]

Step-by-step explanation:

[tex]$V=\frac{\pi r^2 h}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 2^2 \cdot 9}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 36}{3} $[/tex]

[tex]$V=3.14 \cdot 12 $[/tex]

[tex]V=37.68 \text{ units}^3[/tex]

You bought carpet for a room that measures 18 feet by 14 feet Carpet costs $4.00 per square yard. How much did you pay?

Answers

Answer:

$112

Step-by-step explanation:

18 × 14 = 252

252 ft = 84 yrds

84 yrds = 28 sq yrds

4 × 28 = 112

Step-by-step explanation:

The area of the carpet is 18 * 14 = 252 sq. ft. In one sq. yard there are 3 * 3 = 9 square feet so 252 / 9 = 28 sq. yards. That means you pay 28 * 4 = $112.

Anyone wanna help me out

Answers

Answer:

[tex]58.91m^2[/tex]

Step-by-step explanation:

(smaller triangle below)

[tex]A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2[/tex]

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

[tex]23.65+35.26\\=58.91m^2[/tex]

Answer:

There’s 2 triangles and 1 rectangle

The formula for the area of a triangle is 1/2 x base x height

The area of the triangle on the left is:

1/2 x 5.5 m x 8.6 m = 23.65 m^2

The area of the triangle on the right is:

1/2 x 8.2 m x 8.6 m = 35.26 m^2

The formula for the area of the rectangle is length x width.

The area of the rectangle is:

8.6 m x 7.6 m = 65.36 m^2

The area of the entire figure = sum of all the areas in the figure

23.65 m^2 + 35.26 m^2 + 65.36 m^2 = 124.27 m^2

Hope this helps! :)

The area of a square lawn is 169 yd2. What is the length of each side of the lawn?

Answers

The length of each side of the lawn is 13 yards.

look at the attached picture

Hope it will help you

Good luck on your assignment...

Answer:

[tex]13 \: \: yd[/tex]

Step-by-step explanation:

[tex]area \: \: \: of \: \: a \: \: square \\ 169= l \times b \\ 169 = x \times x \\ 169 = {x}^{2} \\ [/tex]

So,

[tex] {x}^{2} = 169 \\ x = \sqrt{169} \\ x = 13 \: \: yd[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What did Mozzarella say to cheddar? It’s part of a math paper it’s a puzzle please help if you know the joke

Answers

Answer:

get out of my way mozzarella is the best

Answer:

I have a more cheesier smile than you!

Step-by-step explanation:

Um... Well that's the version I thought of but it might be different on your worksheet.

What is the value of y for the point with an x-value of 3?

Answers

Answer:

When y=8 x =7

Step-by-step explanation:

Go up until y = 8

Go across until you find a dot

Drop down to read the x value

When y=8 x =7

The answer is y equals 8 and x equals 7 !
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