These tables represent a quadratic function with a vertex at (0, -1). What is the average rate of change for the interval from x = 9 to x = 10?

A. -19
B. -2
C. -101
D. -82

Answer:

a

Step-by-step explanation:

Answer:

B. [tex]x^2+11x+24\leq 150[/tex]

Step-by-step explanation:

Step 1) Defining Sue and Jeremy's ages using x

Sue is 3 years older than Holly (h):

[tex]h=x+3[/tex]

Jeremy is 5 years older than Sue, or 8 years older than Holly (j):

[tex]j=x+8[/tex]

Product of Jeremy and Sue's ages is less than or equal to 150:

[tex]hj\leq 150[/tex]

Step 2) Simplifying into a single equation

Using the equation above we can substitute Sue and Jeremy's ages:

[tex](x+3)(x+8)\leq 150[/tex]

Now we can simplify this equation. Use the distributive property first:

[tex]x(x+8)=x^2+8x\\3(x+8)=3x+24[/tex]

Now add all the terms together and get the final answer:

[tex]x^2+8x+3x+24\leq 150\\x^2+11x+24\leq 150[/tex]

Final equation: [tex]x^2+11x+24\leq 150[/tex]

Answer:

I believe the answer is 1

Step-by-step explanation:

Hope that helps!

Answer: ?

Step-by-step explanation:

The extraneous solution is the value of the independent variable for which the problem has no solution. x=3 is an extraneous solution.

An extraneous solution is a solution that develops from the process of addressing the problem but is not a real solution to the problem, such as an equation.

In order to know the extraneous solution, we need to find the value of x in the given equation,

[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]

Using the logarithmic property,

[tex]\rm log_4[x(x-3)]= log_4(-7x+21)[/tex]

Taking the anti-log, we will get,

[tex]x(x-3)= -7x+21\\\\x^2-3x=-7x+21\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x-3)(x+7)=0[/tex]

If we substitute the factors with the 0, we will get the value of x as 3 and -7.

We know that extraneous solutions are those solutions, which when substituted in the initial equation, the equation does not return an equation.

x=3

[tex]\rm log_4(x)+log_4(x-3)= log_4(-7x+21)[/tex]

[tex]\rm log_4(x3)+log_4(3-3)= log_4(-21+21)\\\\\rm log_4(x)+log_4(0)= log_4(0)[/tex]

As the value of logₐ(0) is undefined, therefore, x=3 is an extraneous solution.

Learn more about Extraneous solutions:

https://brainly.com/question/14054707

Answer:

B. x = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

R90

Step-by-step explanation:

120 hats sold and each = $0.50

0.50 × 120 = R60 (all the baseball hats cost)

50% of 0.50 = 0.25

0.25 × 120 = 30 (markup price)

60 + 30 = 90 ( total received for the sales)

Answer:

18

Step-by-step explanation:

Solve the question in steps

(8+36)/11

44/11=4

Now you have 4+7x2

You do multiplication first

4+14=18

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

[tex]{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}[/tex]

Take LCM on both sides :

[tex]{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}[/tex]

Multiplying both sides by 10 ;

[tex]{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}[/tex]

[tex]{:\implies \quad \sf 165+6y=7y+150}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf 7y+150=165+6y}[/tex]

Transposing 6y to LHS and 150 to RHS

[tex]{:\implies \quad \sf 7y-6y=165-150}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}[/tex]

Answer: B

Step-by-step explanation:

JK = 6.08

JL = 5.83

using distance formula is √[(x2 – x1)^2 + (y2 – y1)^2].

Answer:

0

because there are no figure

Answer:

okay look at the diagram and try to draw it to help you. Then look carefully at the equation and then solve it.

Step-by-step explanation:

Draw it

Label it

solve it

Let me know if u need help with other problems :)

Answer:

so i don't  know  the answanswer

Step-by-step explanation:

i son't  know  go  learn

Answer:

i think four because there are four friends so there are four pizzas in each pizza box so 4+4=8 so 8-4=4 so how did i do.

Step-by-step explanation:

Answer: A.

Step-by-step explanation:

Your change in y is +1120 and your change in x is +1

1120/1 = 1120, so she is at a constant speed/rate of 1120 per minute

Answer:

6.5 seconds and 13.5 seconds

Need to know:

Quadratic formula: [tex]\frac{-b +-\sqrt{b^{2} - 4ac } }{2a}[/tex]

Step-by-step explanation:

We have -0.08t² + 1.6t + 2 = 9

Subtract 9 from both sides

-0.08t² + 1.6t + 2 = 9

                      - 9   - 9

-0.08t² + 1.6t - 7 = 0

We will have to use the quadratic formula

a = -0.08

b = 1.6

c = -7

[tex]\frac{-1.6 +-\sqrt{1.6^{2} - 4(-0.08)(-7) } }{2(-0.08)}[/tex]

[tex]\frac{-1.6 +-\sqrt{2.56 - 2.24 } }{-0.16}[/tex]

[tex]\frac{-1.6 +-\sqrt{0.32 } }{-0.16}[/tex]

[tex]\frac{-1.6 +\sqrt{0.32 } }{-0.16} = 6.464466[/tex]

[tex]\frac{-1.6 -\sqrt{0.32 } }{-0.16}=13.5355[/tex]

These are the two times the balloon will be at 9 feet.

Answer:

The answer is 240

Step-by-step explanation:

Base x height

Answer:

the fourth

Step-by-step explanation:

Complementary means that the sum of two angels equals to 90°

so LKM and MKN because they're both 45° and the sum is 90°

Answer : X =  8/3

◊ YusuCr ◊

Answer:

r = sqrt(16/pi)

Step-by-step explanation:

Cylinder formula = r^2 x pi x height

176 pi/11pi = 16

16 = r^2 x pi

16/ pi = r^2

r = sqrt(16/pi)

Answer:

y=-4

Step-by-step explanation:

Answer:

it will take the second crocodile 60 seconds

The time it will take the second crocodile to finish it's snack is; 120 s

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish it's snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

Read more about rate of work at; https://brainly.com/question/12442233

Using compound interest, it is found that:

a) $1,270.70 will be in the account after 6 years.

b) It will take 17.53 years for the $1000 to double.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are given as follows:

[tex]A(0) = 1000, r = 0.04, n = 12[/tex]

Item a:

Over 6 years, that is t = 6, thus:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 1000\left(1 + \frac{0.04}{12}\right)^{12 \times 6}[/tex]

[tex]A(t) = 1270.7[/tex]

$1,270.70 will be in the account after 6 years.

Item b:

This is t for which A(t) = 2P = 2000, hence:

[tex]2000 = 1000\left(1 + \frac{0.04}{12}\right)^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12\log{(1.0033)} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

It will take 17.53 years for the $1000 to double.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

I believe the answer is x • y = ?

Answer:

1 yard

Step-by-step explanation:

1 yard is 3 feet.

hope this helps:)

Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

~Shoto Todoroki here~

Y=(x+4)(−x+6)

Hope this helps :D

If the value of x increases then the value of y decreases. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For the inverse variation function

[tex]\rm y = \dfrac{k}{x}[/tex]    (where x, k > 0),

We know that the y is inversely proportional to the x.

Thus, if the value of x increases then the value of y decreases.

Therefore, the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

Therefore 5 + 4 × (14 - 4) - 8 = 37