A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-4, -5)(−4,−5). What is the vertex of the function defined as g(x)=f(x+2)+3g(x)=f(x+2)+3?

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

Answer:

x = 12

Step-by-step explanation:

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

Answer:

7/2(12+h)

Step-by-step explanation:

The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

Here, we have,

given that,

the expression 42+3.5h

we have to find the factored form.

From the given information:

The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5

So factoring 3.5 from the expression  42 + 3.5h, we get:

= 3.5 ( 12 + h)

= 7/2 ( 12 + h)

Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

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Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

Answer:

y=1/3x-2

Step-by-step explanation:

Answer:

$62.50

Step-by-step explanation: 250 divided by 4 equals $62.10

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

1

Step-by-step explanation:

gvgbkhbgvbhjbjhbjhbhjnnj

Answer:

thanks

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer: ejejejwjfmfmdnc

Step-by-step explanation:

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Answer:

z = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

4z - 4 = 3z + 8

z = 12

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Answer:

1

Step-by-step explanation:

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

Answer:

They still have to earn:

$750 - $182.9 = $567.1

and if they make $5.35 for every pizza sold:

$567.1 : $5.35 = 106

They must sell 106 pizzas more.  

Step-by-step explanation:

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

Answer:

It's B trust

Step-by-step explanation:

The required balance at the beginning of April is $796.87. Option C is correct.

Simple interest is defined as the percentage of earnings on the lending for a period of time

To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.

Let's call Ruth's balance at the beginning of May "B".

We know that during the April billing cycle:

She made a $45.17 payment on April 10th

She made a $88.34 purchase on April 17th

The APR is 10.91%

So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)

Solving for B, we get:

B = $796.87

So, the answer is C. $796.87.

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Answer:

Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].

Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Answer:

there is no question??