Pls help I’ll brainlest for the right answer

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Decaying exponential function:

A decaying exponential function has the following format:

[tex]A(x) = A(0)(1-r)^{x}[/tex]

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Vertex of f:

The function f is given by:

[tex]3(x+5)^2 - 10[/tex]

Expanding the calculations to place at the correct format:

[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]

Which means that

[tex]a = 3, b = 30, c = 65[/tex]

The x-value of the vertex is:

[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]

The y-value of the vertex is:

[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Answer:

6y + 5x

Step-by-step explanation:

6y + 8x - 3x

Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)

8x - 3x = 5x

6y + 5x

And you cannot simplify it anymore, since they are not like terms

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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

In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

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

En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

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

Answer:

47.4 ;

50

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Answer:

200 stamps

Step-by-step explanation:

Divide the 90 stamps by 45: The result is 2; it's equal to 1% of the total number of stamps. You then multiply it by 100 to get the full amount, which is 200 stamps.

Answer:

The answer is 365.76 m/s

Step-by-step explanation:

Answer:

15 height

Step-by-step explanation:

Answer:

2x^2 + 9x + 4

Step-by-step explanation:

To find the area of a triangle, use the formula, 1/2 · base · height = area.

If we plug the given expressions into the formula, we get

1/2(4x+2)(x+4)

Which simplifies to

(2x+1)(x+4)

=2x^2 + 9x + 4

Answer:

Mayra has 13 nickels

Step-by-step explanation:

Given

Represent dimes with D and nickels with N.

So, from the first statement:

[tex]0.10D + 0.05N = 2.95[/tex]

From the second statement:

[tex]D = 2N - 3[/tex]

Required

Find N

Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]

[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]

Open bracket

[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]

[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]

Collect Like Terms

[tex]0.20N + 0.05N = 2.95+0.30[/tex]

[tex]0.25N = 3.25[/tex]

Make N the subject:

[tex]N = \frac{3.25}{0.25}[/tex]

[tex]N = 13[/tex]

Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Answer:

Step-by-step explanation:

Given ΔABD with:

Consider ΔABC

Consider ΔACD

Answer:

≈ 41.2°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Answer:

About 270.44 miles

Step-by-step explanation:

There is about 52 weeks in a year. 14,063 divided by 52 is 270.44\

DONT TRUST ME ON  THIS

Answer:

270 miles a week

Step-by-step explanation:

there are 52 weeks in a year

so you divide 15,063 by 52

that would equal 270

The ratio from tomatoes to pepper plants is 5:2

Meaning there are 5 tomatoes and 2 pepper plants

In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.

-----

When the ratio 5:2 is multiplied by 2

it equals 10:4

We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.

-----

So there are:

10 tomatoes

and

4 pepper plants!

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

Answer:

22.5 cm

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

13.5 / 9 = x / 15

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

Answer:

16.8

Step-by-step explanation:

equation: x - 3.9 = 12.9

add 3.9 to 12.9

answer is 16.8

Answer:

The smallest possible value that x could take is -2.

Step-by-step explanation:

Integer values:

Integer values can be either positive or negative, with no decimal parts. The integer set is given by:

{...,-3,-2,-1,0,1,2,3,....}

x>−3

We want the first integer on the number line that is greater than -3. This is -2.

So the smallest possible value that x could take is -2.

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3% of books borrowed from a library in a year are downloaded.

This means that [tex]p = 0.03[/tex]

SRS of 75 books.

This means that [tex]n = 75[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: [tex]\mu = p = 0.03[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.