Given the equation px^2 + 8x + 8 = 0 has equal roots find the value
of p.

9514 1404 393

Answer:

  D. Graph c

Step-by-step explanation:

Replacing x in f(x) with (x -a) shifts the graph to the right 'a' units. Here 'a' = -5, so the graph is shifted left 5 units. This is shown in Graph C.

_____

Additional comment

Just to make sure you're awake, graph C is selected by choice D.

Answer:

c

Step-by-step explanation:

Answer:

(400x4)+(70x4)+(5x4)=?

Step-by-step explanation:

Divide the greater number into hundreds tens and ones then add the products to get your answer

Answer:

1

Step-by-step explanation:

1/1 = 1

Answer:

The answer is 250 kids

Step-by-step explanation:

Please give me brainlest

Answer:

250

Step-by-step explanation:

If 100 kids is 40%, then 200 kids (twice as much) is 80%. 20% (what's remaining) is half of 40%, so it is also half of 100; 50. Add that together, 250 kids.

Answer:

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

Step-by-step explanation:

Answer:

3 <----> [tex]\sqrt{9}[/tex]

10 <----> [tex]\sqrt{100}[/tex]

8 <---> [tex]\sqrt{64}[/tex]

9 <--->[tex]\sqrt[3]{729}[/tex]

6 <----> [tex]\sqrt[3]{216}[/tex]

7 <---->[tex]\sqrt[3]{343}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

19 from pythagoras theorem

x^2 = 15^2 + 6^2

x^2 = 225 + 36

x^2 = 261

x = sq.root of 261

x=16.2

20 Using SOHCAHTOA

Cos theta = adj/ hypotenuse

cos y = 24/30

cos y = 0.8

y= arc cos 0.8

y = 36.9

             I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!

(It has been a bit since I've done this haha)

[Equation] [tex]A = d(\frac{(1+i)^{n}-1}{i})[/tex]

[Plug-In] [tex]152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})[/tex]

          () 4.5% -> 0.045

          () 14 years * 12 = 168 months

This is where I loose confidence in it, just so you know:

[Addition] [tex]152,000 = d(\frac{(1.045)^{168}-1}{0.045})[/tex]

[Exponent of 168] [tex]152,000 = d(\frac{(1,627.56)-1}{0.045})[/tex]

[Subtract] [tex]152,000 = d(\frac{1,626.56}{0.045})[/tex]

[Divide] [tex]152,000= 36,145d[/tex]

[Divide Again] d = 4.2

(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)

Have a nice day!

   I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)

- Heather

Answer:

C.    y = |x + 2| – 3

Step-by-step explanation:

I got this answer correct on Gradpoint

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

68

The percentage of her commutes will be between 50 and 58 minutes is 68%.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule that states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Given: mean=54, standard deviation =4 min

The Empirical says,

mean-standard deviation= 54-4=50

mean - standard deviation= 54+4= 58.

Now,

P([tex]\mu[/tex]-6 ≤ X ≤  [tex]\mu[/tex] +6) ≈0.68

Hence, percentage of her commutes will be between 50 and 58 minutes is 68%.

Learn more about Empirical rule here:

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Answer:5n^2-9n-7

Step-by-step explanation:

Step-by-step explanation:

Number 1

[tex] = \frac{14}{100} [/tex]

[tex] = \frac{14}{ {10}^{2} } [/tex]

[tex] = 14 \times {10}^{ - 2} [/tex]

[tex] \: [/tex]

Number 2

[tex] = {100 }^{ - 1} [/tex]

[tex] = \frac{1}{ {100}^{1} } [/tex]

[tex] = \frac{1}{100} [/tex]

Hello there.

To answer this question, we need to remember some properties of the isosceles triangle.

First (and most importantly), an isosceles triangle is composed by three sides, in which only two of the sides have equal length.

The perimeter of a triangle is given by the sum of the lengths of the sides, such that: [tex]2p={\ell}_1+{\ell}_2+{\ell}_3[/tex], in which [tex]p[/tex] is the semiperimeter.

Given that the perimeter of such triangle is equal to [tex]155~\text{in}[/tex] and the longest side is [tex]14~\text{in}[/tex] longer than both the other sides, we have that:

[tex]\begin{cases}{\ell}_2={\ell}_3\\ {\ell}_1+{\ell}_2+{\ell}_3=155\\ {\ell}_1={\ell}_2+14\\\end{cases}[/tex]

Using these informations, in terms of [tex]{\ell}_2[/tex], we get:

[tex]{\ell}_2+14+{\ell}_2+{\ell}_2=155[/tex]

Sum the equal terms on the left hand side of the equation

[tex]3\,{\ell}_2+14=155[/tex]

Subtract [tex]14[/tex] on both sides of the equation

[tex]3\,{\ell}_2=141[/tex]

Divide both sides of the equation by a factor of [tex]3[/tex]

[tex]{\ell}_2=47~\text{in}[/tex]

Substituting this value on the first and second equations, we get:

[tex]{\ell}_3=47~\text{in}\\\\\\ {\ell}_1=47+14=61~\text{in}[/tex]

Thus, the length of the sides of this triangle are, respectively from the largest to the smallest: [tex]{\ell}_1=61~\text{in},~{\ell}_2=47~\text{in},~{\ell}_3=47~\text{in}~~\checkmark[/tex]

These are the values we were searching for.

Answer:

The answer is 48.

Step-by-step explanation:

The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.

Step-by-step explanation:

(3,-1)

h=3

it shows on the graph in x axis

k= -1

it also shows in the graph

(x-3) + (y+1)

[tex] \sqrt{85} [/tex]

Hope that helped:)

Answer:

60 pages

Step-by-step explanation:

0.15x + 51 = x

51 = x - 0.15x

51 = 0.85x

51/0.85 = x

X = 60 (0.15 * 60 = 9 pages covered with pictures)

Answer:

3.73

Step-by-step explanation:

1/4 of 13 1/2 is 3.73

hope this is helpfull

can you relate to the attachment??

Answer:

y = -6/5x - 8

Step-by-step explanation:

You just have to use the slope-point equation of a line which is (y - y₁) = m (x - x₁) where y₁ and x₁ are the coordinates of the given point and m is the slope given. So just plug-in x₁ = -5, y₁ = -2, and m = -6/5 to get:

y - ( -2) = -6/5(x + 5)

And simplify to get:

y + 2 = -6/5x - 6

And if you want it in standard form, it is:

y = -6/5x - 8

Step-by-step explanation:

f(x) = ³√(x - 3)

f(-61) = ³√(-61 - 3)

f(-61) = ³√-64

f(-61) = -4

f(128) = ³√(128 - 3)

f(128) = ³√125

f(128) = 5

Answer:

g(x) = (x+2)^2 - 2x - 1

Step-by-step explanation:

f(x) = x^2 - 2x

g(x) = f(x+2) + 3

g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1

When we graph the equations, we can confirm that our answer is correct.

The required solution of the given function is  f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given function is

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

According to given question we have

[tex]g(x) = (x+2)^2 - 2x - 1[/tex]

The graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph.

By the use reflection on y axis we get

[tex]f(x) = x^2 - 2x\\g(x) = f(x+2) + 3\\g(x) = (x+2)^2 -2(x+2) + 3\\ \\g(x)= (x+2)^2 - 2x - 1[/tex]

Therefore, the required solution of the given function is  f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].

Learn more details about transformations here:

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Step-by-step explanation:

No she won't have enough money saved.

This is so because at the end of 30 weeks she would have saved only $450 and short by 115.

Answer:

  A.  1

Step-by-step explanation:

The slope is the coefficient of x: 1.

9514 1404 393

Answer:

  f(g(x)) = 2/(x^2 +4x)

Step-by-step explanation:

  [tex](f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}[/tex]

Answer:

0

Step-by-step explanation:

[tex]\\ \sf\longmapsto Average=\dfrac{Sum\:of\:data}{Number\;of\:datas}[/tex]

[tex]\\ \sf\longmapsto Average=\dfrac{-3-1+1+3}{4}[/tex]

[tex]\\ \sf\longmapsto Average=\dfrac{0}{4}[/tex]

[tex]\\ \sf\longmapsto Average=0°F[/tex]

Answer:

Step-by-step explanation:

the number of rows = n

The number of trees per row = n + 10

n * (n + 10) = 551             Remove the brackets

n^2 +  10n = 551             Subtract 551 from both sides

n^2 + 10n - 551 = 0         This factors.

(n - 19)(n + 29) = 0

Note n + 29 is an extraneous (extra) root which does not work

n - 19 = 0

n = 19

There are  19 rows

Each row contains 19 trees.

STEP1: Equation at the end of step 1

[tex] \frac{( {5}^{2} {x}^{2} - 4) }{( {x}^{2} - 9) } \div (5x - 2) \div (x + 3) \\ [/tex]

STEP2:

Simplify — [tex] \frac{25x {}^{2} - 4}{x {}^{2} - 9 } \\ [/tex]

Factoring: 25x2 - 4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 4 is the square of 2

Check : x2 is the square of x1

Factorization is : (5x + 2) • (5x - 2)

Trying to factor as a Difference of Squares:

Factoring: x2 - 9

Check : 9 is the square of 3

Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Polynomial Long Division :

2.3 Polynomial Long Division

Dividing : 5x + 2

("Dividend")

By : x + 3 ("Divisor")

dividend 5x + 2

- divisor * 5x⁰ 5x + 15

remainder - 13

Quotient : 5

Remainder : -13

Equation at the end of step2:

[tex] \frac{ (5x + 2) • (5x - 2)}{(x + 3) • (x - 3)} ÷ (5x - 2) ÷ (x + 3) \\ [/tex]

STEP3:

Divide[tex] \frac{(5x+2)•(5x-2)}{(x+3)•(x-3)} \: by \: 5x-2 \\ [/tex]

Canceling Out :

3.1 Cancel out (5x - 2) which appears on both sides of the fraction line.

Equation at the end of step3:

[tex] \frac{(5x + 2)}{(x + 3) • (x - 3)} ÷ (x + 3) \\ [/tex]

STEP4:

Divide [tex] \frac{5x+2}{(x+3)•(x-3)} \: by \: x + 3 \\ [/tex]

Multiplying Exponential Expressions:

4.1 Multiply (x + 3) by (x + 3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as (x+3)1

and 1 , as (x+3) is the same number as (x+3)1

The product is therefore, (x+3)¹ = (x+3)²

Final result :

Answer:

slope- 3/4. equation- y=3/4x+1

Step-by-step explanation:

to get the equation, you use the formula y=mx+b, where m is the slope and b is the y intercept, which means it is where the line touches the y axis

Answer:

y = 1/2x

Step-by-step explanation:

Pick two points:

(2,1) and (4,2)

Find the slope: y2 - y1/x2 - x1

2-1/4-2

1/2 is the slope

The y intercept is 0