Zoe walks at a speed of 10 miles/h and jogs at a speed of 20 miles/h. She goes to the park to walk 2 miles on a Monday. How long will she take to walk 2 miles?

The best answer from the choices provide is x = -1 or x = -1

Given the expression

[tex]x^2 + 2x + 1 = 0[/tex]

Factorizing the given expression

[tex](x^2 +x)+(x + 1) = 0\\[/tex]

Factor out the common variable from both brackets

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

Hence the best option is x = -1 or x = -1

Learn more about factorization here: https://brainly.com/question/16099992

The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:

[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]

According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].

The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

Answer:

Solution given:

note=diameter=2*radius

1:

Area of circle =πr²=22/7*(21/2)²=346.5cm²

2:

radius (r)= 3 ½=7/2cm

Area of circle =πr²=22/7*(7/2)²=38.5cm²

3;

radius (r)=14/2=7cm

Area of circle =πr²=22/7*(7)²=154cm²

note:

π=3.14 or 22/7

Answer:

x = 6

Step-by-step explanation:

The axis of symmetry passes through the vertex of the graph

It is a vertical line with equation

x = c ( c is the x- coordinate of the vertex )

vertex = (6, 1 ) with x- coordinate 6 , then

equation of axis of symmetry is x = 6

The approximate circumference of the base of the cylinder is 37.7 cm

The square based prism and a cylinder both have the same height of 4cm and the same base area.

volume = BH

where

Therefore,

volume of squared base prism = 452

452 = 4B

B = 452 / 4

B = 113

Therefore,

base area of the cylinder = 113 = πr²

Hence,

113 / π = r²

r = √113 / π

circumference of the base of the cylinder = 2πr

circumference of the base of the cylinder = 2 × π × √113 / π

circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885

circumference of the base of the cylinder = 37.6731960524

circumference of the base of the cylinder = 37.7 cm

learn more on circumference here: brainly.com/question/12073337

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Answer:

Step-by-step explanation:

x-2=0

x=2

f(2)=2³-2(2)²+2(2)+3=8-8+4+3=7≠0

so x-2 is not a factor of f(x).

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-3) / 6 - 5

= 2/1

= 2

Answer:

43

Step-by-step explanation:

First you divide the opposite side from the angle by the hypotenuse.

33/44

then you take the inverse sine of 33/44, resulting in

43.43°, which rounds to 43°

Answer:

y = 2/3x - 13/3

Step-by-step explanation:

Implying the x and y coordinates, you get this.

Answer:

a = -3

Step-by-step explanation:

f(x) = 5x³+4x²+3x-4a

f(-1) = 8

therefore , x = -1

substituting x = -1 in 5x³ + 4x² +3x-4a

5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8

-5 + 4 -3 - 4a = 8

-8 + 4 -4a = 8

-4 - 4a = 8

shifting -4 from LHS to RHS

-4a = 8+4

-4a = 12

[tex] - a = \frac{12}{4} [/tex]

therefore

-a = 3

a = -3

ANS = the value of a = -3

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Answer:

D

Step-by-step explanation:

I took the quiz

Answer:

-(5^N)

Step-by-step explanation:

The sequence is a negated 5 to the N power

ex.) -(5^0) = -1

-(5^1) = -5

-(5^2) = -25

-(5^3) =125

Answer:

√8

Step-by-step explanation:

Pythagorean's Theorem says 2^2+2^2=4+4=8.

Answer:

So we know that this is a right isosceles triangle because 2 sides are equal and there's a 90 degree angle,

In an isosceles right triangle, the sides are in the ratio 1:1:[tex]\sqrt{2}[/tex]

a^2 + b^2 = c^2

We use the Pythagorean Theorem, where a and b are the legs and c is the hypotenuse.

2(2^2)=c^2

c=2[tex]\sqrt{2}[/tex]

Answer:

5

Step-by-step explanation:

45=3×3×5

If we multiply by 5 it becomes a perfect square.

Alright, let's do some math!

We know that the constant is = 25, and that for every 1 year it grows by 80.

So, we can create the formula h= 80y+25. This is a really simple way of saying that h is equal to 80 x the value of y + the base of 25.

Now we just need to plug in the numbers and we will get our answers!

y=5    80(5)+25= 425

y=7    80(7)+25= 585

y=9    80(9)+25= 745

y=10    80(10)+25= 825

I hope this helps! :)

Answer:

y=5,h=345. y=7, h=505. y=9, h=665. y=10, h=745.

Step-by-step explanation:

y=5

Add 320 to when it was first planted.

y=7

Add 160 to when y=5.

y=9

Add 160 to when y=7.

y=10

Add 80 to when y=9.

Answer:

1. Angles 2, 3 and angles 1,3 are complementary angles(Given)

2. To prove :

Since Angles 2, 3 and angles 1,3 are complementary.

When angles are complementary, then the sum of the measures of angles is 90 degrees.

So,  and  (Definition of Complementary angles)

3.  (Substitution)

4.  (Subtraction property of equality)

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x

Answer:

48.5 ft

Step-by-step explanation:

Answer: A' (-4,0)

Step-by-step explanation:

9514 1404 393

Answer:

  yes, Sarah has enough to buy the DVD

Step-by-step explanation:

The discount causes the price to be multiplied by 1 -25% = 0.75. The tax causes the price to be multiplied by 1 +13% = 1.13. After these multipliers are applied, the final price is ...

  $34.50(0.75)(1.13) = $29.24

Sarah's $30 gift certificate will cover the entire amount due.

Answer:

The answer is 5.5 because it tell you what it is

Step-by-step explanation:

Answer:

(a).5/12

(b).10 players

Step-by-step explanation:

a.

⅓+¼=7/12

Remaining=5/12

b.5/12of 24 =10 players

Answer: The first graph

Step-by-step explanation:

An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.

Answer:

Download gauthmath it will help Jesus loves you

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

Answer:

23•1

Step-by-step explanation:

83°/360°×100km=23•1

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation:

I dont know the answer lol but imma say B

Answer:

The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.

[tex]r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\[/tex]

You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.

If you would like to find it mathematically, this is the way to do it

[tex]\theta = atan(y/x) = -45[/tex]

Notice that -45 degrees is just 360 - 45 = 315

Your answer would be

[tex](\sqrt{2}, 315)[/tex]

Answer: x=45

Step-by-step explanation:

To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.

x+2x+x=180          [combine like terms]

4x=180                  [divide both sides by 4]

x=45

Now, we know x=45.