Y=x2+2x+5
Write each function in vertex form.

Answer:

the answer would be graph C

Step-by-step explanation:

also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!

Good Luck and have a good day!

Answer:

[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]

hope that step is enough to give you the two values of y, coz I gat no calc here with me.

hint: use the quadratic equation

Answer:

MO = 22 units

Step-by-step explanation:

To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.

Set them equal and solve for x:

2x+3 = 3x-1

Subtract 2x from the right to get the variable on one side and add 1 to the right side.

4 = x

Now that we know what x is, you can plug it into the equation and add them together

2(4)+3 = 11

3(4)-1 = 11

11+11 = 22

Hope this helps :)

Answer:

∆XYZ is a equilateral triangle

hence, angle X, angle Y and angle Z =60° each

2x-4=60

2x=64

5y=60

Answer

The answer is +200 or 200.

Please correct me If I am wrong

This is what my teacher taught me

Step-by-step explanation:

Answer:

I think is 10 because 2 negatives make a positive and 2 would make the answer -10

Hello!

[tex]\large\boxed{x = 4.21in}[/tex]

Use the Pythagorean Theorem to solve:

a² + b² = c²

We are given the Hypotenuse (c) and one of the legs (b), so we can plug those values in to solve for a:

a² + (6.8)² = 8²

a² + 46.24 = 64

Subtract 46.24 from both sides:

a² = 17.76

Square root both sides:

a = √17.76

a ≈ 4.21 = x

Answer:

y = -3x - 3

Step-by-step explanation:

the y-intercept is -3 as shown in the graph, so, b = -3

if you count, the rise is 3 and the run is -1, so the slope will be -3/1

-3/1 equals to -3

y = -3x - 3

Answer:

y = –3x – 3

Step-by-step explanation:

m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.

b = the y-intercept which is –3.

So,

y = –3x – 3

in this condition "of" is considered as multiply(×) so the questions form in maths form is 77% × 192

because it is multiplication sign we multiply 77×192=14784 dont forget the percentage % percent is /100 so 14784/100 = 147.84.

Answer:

x < [tex]\frac{33}{4}[/tex]

Step-by-step explanation:

Given

- 4x + 35 > 2 ( subtract 35 from both sides )

- 4x > - 33

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < [tex]\frac{33}{4}[/tex]

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

Answer:

Its linear for sure

i would say y=2x but im not sure tho sry if its the wrong equation

Step-by-step explanation:

By Descrates' Rule of Signs,

x² + 99x + 127 changes sign 0 times.

Hence it has 0 positive roots.

Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.

Hence both the roots are negative. (B)

Answer:

Hi Aarav

Your answer in attached below

LoL

Answer:

if it is perpendicular then it would be 5 and only the slope would change from 2x to -1/2x

Hope I answered your question

Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]

[tex]=\dfrac{29}{6}[/tex] miles

Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.

[tex]=6\dfrac{5}{4}[/tex]   miles.

Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Answer:

6√(6) is the answer of your question

Answer:

2.053 hours

Step-by-step explanation:

From the question,

A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.

If Brian keeps his pace, how long will it take him to run a half marathon?

This is calculated as:

6 1/3 miles = 1 hour

13 miles = x hour

Cross Multiply

6 1/3 miles × x hour = 13 miles × 1 hour

x hour = 13 miles × 1 hour/6 1/3 miles

x hour = 13 ÷ 6 1/3 miles

x hour = 13 ÷ 19/3

x hour = 13 × 3/19

x hour = 39/19

x hour = 2.0526315789 hours

Approximately = 2.053 hours

It will take him 2.053 hours to run a half marathon.

Given:

Expression is

[tex](3x+4)^2-(x-10)^2[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex](3x+4)^2-(x-10)^2[/tex]

Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]

[tex]=9x^2+24x+16-[x^2-20x+100][/tex]

[tex]=9x^2+24x+16-x^2+20x-100[/tex]

On combining like term, we get

[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]

[tex]=8x^2+44x+(-84)[/tex]

[tex]=8x^2+44x-84[/tex]

Therefore, the correct option is c.

Answer:

Your friend is wrong.

Step-by-step explanation:

Since we have that you spend c dollars for p identical pairs of pants. We can represent this using:

C = kP.

Where k is the price for one pair of pants whereby the amount of dollars you spend depends on the number of pants picked.

C is the dependent variable here, depending on P and P is independent. Therefore, you have only one independent variable which is P.

Answer:

$3623.85

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Compounded Interest Formula: [tex]A=P(1 + \frac{r}{n} )^{nt}[/tex]

Step-by-step explanation:

Step 1: Identify Variables

P = 3000

r = 0.065

n = 1

t = 3

Step 2: Find Final Amount A

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

Answer:

1760 sqft

Step-by-step explanation:

10% is 0.1 in decimal, since its increasing, it would be 1.1

1600 times 1.1 is 1760.

Answer: 4

Step-by-step explanation:

Answer:

number of dimes is 8

number of quarters is 15

Step-by-step explanation:

let 'd' = number of dimes

let 'd+7' = number of quarters

.10d + .25(d + 7) = 4.55

.10d + .25d + 1.75 = 4.55

.35d = 2.80

d = 8

q = 7 + 8

Answer:

The variable should be m=minutes

The equation should be 25m=175

Thus the answer being 7 minutes.