The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.

Answers

Answer 1

B

Step-by-step explanation:

Might be wrong


Related Questions

Welp here a pick bc I really have no idea what Im looking at

Answers

Answer:

D) [tex]-\sqrt[3]{x-1}[/tex]

Step-by-step explanation:

-the function is the cube root

-the cube root of zero is zero

- the graph is at 0 when x = 1, thus "x-1" must be part of answer

- the cube root of -8 is -2, at -8 the graph is +2. so the function is negated

[tex]-\sqrt[3]{x-1}[/tex]

What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?

1/3

1/2

2

13

Answers

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.  

x=2

What is the diameter of a sphere with a volume of 2171m ^ 3 to the nearest tenth of a meter?

Answers

Answer:

Diameter of sphere = 16.06 meter (Approx.)

Step-by-step explanation:

Given:

Volume of sphere = 2,171 cubic meter

Find:

Diameter of sphere

Computation:

Volume of sphere = [4/3]πr³

2171 = [4/3]πr³

πr³ = [3/4][2171]

πr³ = [6513 / 4]

πr³ = 1628.25

(3.14)r³ = 1628.25

r³ = 1628.28 / 3.14

r³ = 518.55

r = 8.03 meter (Approx.)

Diameter of sphere = 2r

Diameter of sphere = 2(8.03)

Diameter of sphere = 16.06 meter (Approx.)

see screenshot below​

Answers

Answer:

B only

Step-by-step explanation:

well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0

and to figure "a " we can consider the following equation:

[tex] \displaystyle x - a = 0[/tex]

substitute the given value of a:

[tex] \displaystyle x - 2= 0[/tex]

therefore,

[tex] \displaystyle x = 2[/tex]

option-1:

plugin the value of x to the function A(x):

[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]

simplify which yields:

[tex] \displaystyle A(2) = 16[/tex]

since A(2)≠0 x-2 is not a factor of A(x)

option-2:

similarly substitute the value of x to the function B(x) which yields:

[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]

simplify:

[tex] \displaystyle B(2) =0[/tex]

so, B(2)=0 Hence x-2 is a factor of x³-x-6

option-3:

substitute the value of x to the function C(x)

[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]

simplify:

[tex] \displaystyle C(2) =12[/tex]

as C(2)≠0 x-2 is not a factor of C(x)

option-4:

likewise plugin the value of x to the function D(x):

[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]

simplify and that yields:

[tex] \displaystyle D(2) = - 2[/tex]

therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

The factor

x-2=0x=2

we have find the value of x .

Now,

we have to select all the polynomial which has x-2 As a factor.

According to the question,

option A:-

[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]

so it is not a factor.

Option B:-

[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]

so it is a factor

Option C:-

[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]

so it is not a factor

option D:-

[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]

so it is not a factor

therefore:-

The option B is correct.

find value of the variable

Answers

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

Which of the following are exterior angles? Check all that apply.
A. 21
B. 2
C. 25
D. 26
DE 24
E 23

Answers

Answer:

D. <6

E. <4

Step-by-step explanation:

both are exterior angles

∠4 and ∠6 are exterior angles.

Options D and E are the correct answers.

What are exterior angles?

Exterior angles are angles formed by a straight line and a line segment outside of that straight line.

More specifically, an exterior angle is formed when two non-collinear rays originate from a point on one side of a straight line and intersect with the other side of the line.

We have,

From the figure,

∠4 and ∠6 are exterior angles.

∠5 and ∠3 are interior angles.

And,

∠6 is the sum of ∠3 and ∠1.

Thus,

∠4 and ∠6 are exterior angles.

Learn more about exterior angles here:

https://brainly.com/question/28835566

#SPJ7

Factor: (a+3)^2 -a(a+3)

Answers

Answer:

3(a +3)

Step-by-step explanation:

(a+3)^2 -a(a+3)

FOIL

a^2 +3a+3a+9 -a(a+3)

Distribute

a^2 +3a +3a +9 -a^2 -3a

Combine like terms

3a +9

FACTOR out a+3

(a+3)( a+3 -a)

(a+3) (3)

3(a+3)

Answer:

3(a+3)

Step-by-step explanation:

Expand the first set of brackets first

(a+3)^2

A^2 + 3a + 3a +9

=A^2 + 6a + 9

Expand the second set of brackets

-a(a+3)

=-a^2 - 3a

Add both sets together

3a + 9

Factorise:

3(a+3)

Plesssse help me with this

Answers

i think it’s the fourth one

A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 2 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating I to
this equation to find the total length of the road after the crew has worked 32 days.

Answers

The answer is L = 59 + 2(d). If we plug in our numbers, we will get L = 59 + 2(32). 2*32 is 64, and if you add 59 you get 123 miles.

This isn’t apart of the question, but 59 would be the y-intercept. 2 miles per day (2/1) is the slope.

How many times is value of the digit 3 in 45.2638 lesser than value of the
digit 3 in 356.987?
1/100000
100000
10000
1/1000

Answers

Answer:

100000 times lesser

Step-by-step explanation:

The value of the digit 3 in 45.2638 is 0.003 and the value of the 3 in 356.987 is 300. 300/0.003 = 100000

Find the area of a square whose side is 9.4cm .



can
anyone
help
me
PLZZ.........​

Answers

Area = [tex] {(9.4)}^{2} [/tex]

[tex] = 88.36 \: {cm}^{2} [/tex]

Therefore, area of square is 88.36 cm².

Find the length of the third side. If necessary, round to the nearest tenth. 6 10

Answers

If you round, it’ll be 7,0

Answer:

Step-by-step explanation:

7

Frank practiced piano for 2 ⅓ hours yesterday. He practiced 1 ⅛ hours today. How long did he practice on both days combined? Convert your answer to hours and minutes.

Answers

Answer: [tex]3 hr and 27 min[/tex]

Step-by-step explanation:

Given

Frank practiced piano for [tex]2\frac{1}{3}\ \text{hours}[/tex] yesterday and [tex]1\frac{1}{8}\ \text{hours}[/tex]

In total frank practiced

[tex]\Rightarrow 2\dfrac{1}{3}+1\dfrac{1}{8}\\\\\Rightarrow \dfrac{7}{3}+\dfrac{9}{8}\\\\\Rightarrow \dfrac{7\times 8}{3\times 8}+\dfrac{9\times 3}{8\times 3}\\\\\Rightarrow \dfrac{56+27}{24}=\dfrac{83}{24}\ \text{hours}\\\Rightarrow \dfrac{83}{24}\ \text{hours}\ or\ 3\ \text{hours and 27 min 30s}[/tex]

please help me i need someone to help me through this whole thinggggg ill mark u as brainlist ​

Answers

Answer:

(36,25)

Step-by-step explanation:

We want to find where the two lines intersect

We know the x value is about 1/2 way between 30 and 40 and the y value is close to 25

The closest value is (36,25)

Step-by-step explanation:      I GOT YOU

The point at which the prices are the same would be at (36, 25)

I know this to be true because that's when the lines touch each other (intersect) on the graph. After 36 minutes go by the cost is 25 dollars for both lines. Also the sides have names, cost on the left, and time on the bottom. And the lines stand for the store prices over time. In summary, just look at the number on the side and bottom and see where the lines intersect.

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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eason

Step-by-step explanation:

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99999+999=????????????????????????????

Answers

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

[tex]x=opposite\: side\: of \:22[/tex]

[tex]16=hypotenese[/tex]

[tex]sin22=opp/hyp[/tex]

[tex]sin22=\frac{x}{16}[/tex]

[tex]\Longrightarrow x=16\times sin22[/tex]

[tex]x=5.99[/tex]

[tex]x=6.0[/tex]

[tex]OAmalOHopeO[/tex]

What equation reoulte from completing the square and then factoring?
x2 + 4x-5

Answers

Answer:

Completing the square: [tex](x^2+4x)-5=0[/tex]

Factored form: [tex](x+5)(x-1)=0[/tex]

Step-by-step explanation:

1.

Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.

The quadratic equation:

[tex]x^2+4x-5=0[/tex]

Group the linear and quadratic terms:

[tex](x^2+4x)-5=0[/tex]

The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:

[tex](x^4+4x-4)-5-4=0[/tex]

Simplify,

[tex](x-2)^2-9=0[/tex]

2.

Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.

[tex]x^2+4x-5=0[/tex]

Factor:

[tex](x+5)(x-1)=0[/tex]

X^2 - 2x + 6 = 0
Show all work

Answers

Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

[tex] {x}^{2} - 2x + 6 = 0[/tex]

Complete the Square.

[tex] {x}^{2} - 2x = - 6[/tex]

[tex] {x}^{2} - 2x + 1 = - 5[/tex]

[tex](x - 1) {}^{2} = - 5[/tex]

[tex]x = + - 1 + i \sqrt{5} [/tex]

88 POINTS PLS HELP!!!

Answers

Answer:

aw no me la seee lo.sientooo no puedooo

Which number is greater than 234,781,114?
A. 3.425 x 10 to the power of 6
B. 3.425 x 10 to the power of 8
C. 3.425 x 10 to the power of 7
D. 3.425 x 10 to the power of 5

Answers

Answer:

I think its B.

Step-by-step explanation:

sorry if i am wrong.

the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?

Answers

Answer: 7.25

Step-by-step explanation:

How do you write 56 and 64 as a prime of its product of its prime factors in expended form and in exponential form ​

Answers

Answer:

56

Expanded=2x2x2x7

Exponential=2^3x7

64

Expanded=2x2x2x2x2x2

Exponential=2^6

Please help urgent all info is in screenshot

Answers

IT IS A DIRECT VARIATION...BECAUSE WHEN X COMPONENT IS INCREASED THEN Y COMPONENT ATE ALSO INCREASING.....

HELP????????????????????????????????????????

Answers

Answer:

No

it goes on forever so no

Can someone help me with this lesson ??

Answers

Answer:

Step-by-step explanation:

The formula of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2.

First off, for the radius to be 8, r^2 must be 64 so only a and c are plausible. Now, the coordinates for the centre is at (h, k). So the first one is the answer.

Which of the following function pairs are inverses?

Answers

Answer:

(A)

x= 5y-3

(x+3)/5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i took the test lol

The perimeter of a rectangle is 24cm. If the breadth of the rectangle is 4cm, find the area of the rectangle. ​

Answers

Answer:

hope it helps plz mark me brainlliest..!!

Step-by-step explanation:

Perimeter of rectangle =2× (Length+breadth)----(1)

Given that ,

Breadth of rectangle = 4 cm.

Perimeter  of rectangle =24 cm.

Let length of rectangle = y cm.

putting the values of perimeter and Breadth in (1)

24=×(y+4)

⇒24=2y+8

⇒2y=24−8

⇒2y=16

⇒y=16/2

⇒y=8.

Therefore, the length of side rectangle is 8 cm.

Hope this helps you out and plz mark me as brain list

Answer:

Step-by-step explanation:

Hello!

L*l

breadth of the rectangle is 4cm,

2 breadth = 4*2 => 8 cm

24-8 = 16

L= 16/2 = 8

area:8*4 => 32 cm²

[tex]\text{Solve for x:}\\\\3x - 5 = 5x + 3[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{x = -4}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x - 5 = 5x + 3\\-----------\\\rightarrow 3x - 5 + 5 = 5x + 3 + 5\\\\\rightarrow 3x = 5x + 8\\\\\rightarrow 3x - 5x = 5x - 5x +8\\\\\rightarrow -2x = 8\\\\\rightarrow \frac{-2x=8}{-2}\\\\\rightarrow \boxed{x = -4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex] [tex]\sf{ 3x-5=5x+3 }[/tex]

[tex]\sf{5x-3x=-5-3 }[/tex]

[tex]\sf{ 2x=-8 }[/tex]

[tex]\sf{ x=\dfrac{-8}{2} }[/tex]

[tex]\bold{ x=-4 }[/tex]

SOMEONE HELP PLEASE I NEED ANSWER

Answers

T=55+6w is the equation

at the end of 8 weeks you do
T=55+6x8
which equals 103$

Answer:

T = 55 + 6w and $103

Step-by-step explanation:

We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value

T = 55 + 6w

Solving for T when w = 8 weeks

T = 55 + 6(8)

T= 55 + 48

T = $103

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