f(x) = -x^2
Find f(3)

Answer:

do do do do to stop do so at to do do d

Answer:

x-intercepts: x =-1, x=-3 when y=0

y-intercept, y=3, when x =0

axis of symmetry x = -2

Step-by-step explanation:

We are given the function: [tex]g(x) = x^2+4x+3[/tex]

We need to draw the graph for

of the given function.

For finding x-intercept put y=0, in the given function, we will put g(x) =0

We know that: g(x)=y

[tex]y=x^2+4x+3[/tex]

Putting y=0, we get:

[tex]0=x^2+4x+3[/tex]

Now, we need to solve the equation by factorization, to find value of x

[tex]0=x^2+4x+3\\We\:can\:write\\x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+1)(x+3)=0\\x+1=0\:or\:x+3=0\\x=-1\:or\:x=-3[/tex]

So, we get x-intercepts: x =-1, x=-3 when y=0

For, finding y-intercept, put x =0

Putting x=0

[tex]g(x)=x^2+4x+3\\We\:know\:g(x)=y\\y=x^2+4x+3\\y=(0)^2+4(0)+3\\y=3[/tex]

So, we get y-intercept, y=3, when x =0

The formula used to calculate axis of symmetry is: [tex]x = \frac{-b}{2a}[/tex]

We have b=4 and a = 1

Putting values and finding axis of symmetry

[tex]x =-\frac{b}{2a} \\x=-\frac{4}{2(1)}\\x=-2[/tex]

So, we get axis of symmetry x = -2

We will also be requiring vertex of the function:

We can find h = -b/2a (same as axis of symmetry) we get h =-2

k can be found as k=f(h)

Put h=-2 in the function:

g(-2)=(-2)^2+4(-2)+3

g(-2)=4-8+3

g(-2)=-1

So, we get k = -1

The vertex (h,k) is (-2,-1)

Now, the graph is attached in figure below.

Answer:

4+2k

Step-by-step explanation:

You multiply them out.

2 x 2=4, and 2 x k =2k. Combine them. 4+2k.

Hope I helped!

The length of each side of the square is; 20.5cm

Since, all sides of a square have equal lengths;

7x +3 = 5x +8

2x = 8 -3

2x = 5

x = 5/2

x = 2.5

By substituting x into either of the expressions! we have;

Read more on squares;

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Answer:

4^(1/3) x^(2/3) y^(1/3)

Step-by-step explanation:

why would you expect negative exponents? Just pultiply powers

Answer:

3 = s - 2

s = 3 - 2

s = 1

what was hard lol

If x + 3y = 1, then x = 1 - 3y.

Then in the second equation, replace x with 1 - 3y :

-x + 2y = 4

- (1 - 3y) + 2y = 4

-1 + 3y + 2y = 4

-1 + 5y = 4

5y = 5

y = 1   →   x = -2

since x = 1 - 3•1 = 1 - 3 = -2.

Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get

x + 3y = 1

3y = 1 - x

y = (1 - x)/3

Then replace y in the second equation:

-x + 2y = 4

-x + 2 ((1 - x)/3) = 4

-x + 2/3 (1 - x) = 4

Multiply both sides by 3 to get rid of the fraction:

-3x + 2 (1 - x) = 12

-3x + 2 - 2x = 12

-5x + 2 = 12

-5x = 10

x = -2   →   y = 1

since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.

Answer:

7/y=3x

(3x)y=7

y=7/3x

Answer:

speed=16,480 miles per hour or 16,480/hour.

Step-by-step explanation:

Distance=speed ×time

Answer:

Evaluate if a = 2 , b = 3, and c = -4 :

Step-by-step explanation: that the answer

Just factor out the 3:

3m + 3n = 3 (m + n)

Answer:

a)      [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

Step(i):-

Given     - 2 √3 + √75

     we know that        25 × 3 = 75

                 - 2 √3 + √75    

            =    -2 √3 + [tex]\sqrt{25 X 3}[/tex]

By using

       [tex]\sqrt{ab} = \sqrt{a} \sqrt{b}[/tex]

          =  [tex]-2\sqrt{3} + \sqrt{25} X \sqrt{3}[/tex]

         =  [tex]-2\sqrt{3} + 5 \sqrt{3}[/tex]

        = [tex](-2 + 5 ) \sqrt{3}[/tex]

       = [tex]3\sqrt{3}[/tex]

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

Answer:

C=14π

Step-by-step explanation:

C=2πr

14 is the diameter. radius is half of diameter. r=7

C=2π(7)

C=14π

Answer:

193

Step-by-step explanation:

according to the question

w²=x²+v²-2xv.cos(<w)

w=√160²+150²-2.160.150.cos(77)°

w=√48100-48000cos(77°)

w=193

Answer:

193

Step-by-step explanation:

delta math

Answer:5

Step-by-step explanation: the gcf for both number are 5, 20: 5*4. 35: 5*7

Answer:

A

Step-by-step explanation:

Answer:

v is equal to 6

Step-by-step explanation:

Answer: v=2√6 or v=−2√6

Step-by-step explanation:

Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

Answer:

C. 5d - 5 = 5-5d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

Answer:

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Exact Form:

3 √ 2 /2

Decimal Form:

2.12132034

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Step-by-step explanation:

the proof is given above

Step-by-step explanation:

In Triangle ICU,

Angle 2 = 180° - Angle 1 (Angles on a straight line)

CR = CU - RU

In Triangle ISR,

Angle 3 = 180° - Angle 4(Angles on a straight line)

SU = RS - RU

Angle 1 = Angle 4

Therefore, Angle 2 is equal to Angle 3

CU = RS

Therefore, CR is equal to SU

Triangle ICR and Triangle ISU

IC = IS

Angle 2 = Angle 3

CR = SU

Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).

As the two triangles are congruent, Angle CIR = Angle SIU

Answer:

[tex]Company: 43 + 24.75h[/tex]

Step-by-step explanation:

Given

Hamda:

[tex]Project\ Fee = 25[/tex]

[tex]Hourly\ Rate = 10.50[/tex]

Layla:

[tex]Project\ Fee = 18[/tex]

[tex]Hourly\ Rate = 14.25[/tex]

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]

For Hamda, we have:

[tex]Hamda : 25 + 10.50 * h[/tex]

[tex]Hamda : 25 + 10.50 h[/tex]

For Layla, we have:

[tex]Layla: 18 + 14.25 * h[/tex]

[tex]Layla: 18 + 14.25 h[/tex]

For h hours, the company will pay:

[tex]Company: Hamda + Layla[/tex]

[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]

Collect like terms

[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]

[tex]Company: 43 + 24.75h[/tex]

Answer:

4 hours and 20 minutes!

Answer:

Step-by-step explanation:

PM or AM?

If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.

if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.

If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.

Answer:

F.y-axis

Step-by-step explanation:

y axis is the answer because 0 is starting.

The given point

(0,4)

is on the positive segment of the y-axis.

Answer:

Statistics can help solving data quantitative analysis data.

Step-by-step explanation:

Statistics can help solving data quantitative analysis data.

Examples of questions, that statistics can help provide answers to

    Ans : It can be found out by calculating mean , median , mode

   Ans : It can be found out by calculating standard deviation, variance

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?

Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

Therefore:

Learn more about statistics on:

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