What are the domain and range of f(x)=−1/5(x−16)2+49?

Answer:

155

Step-by-step explanation:

a half circle is 180, a full circle is 360, and there is one angle already answered. so do 180-25=155. Your welcome

Answer:

140 Spirit buttons per hour

Step-by-step explanation:

From the above question:

3 1/2 hours = 490 spirit buttons

1 hour = x spirit buttons

Cross Multiply

3 1/2 hours × x = 1 × 490 Spirit buttons

x = 490 spirit buttons/ 3 1/2 hours

x = 490 ÷ 3 1/2

x = 490 ÷ 7/2

x = 490 × 2/7

x = 140 Spirit buttons

Hence, the Pep club members make 140 Spirit buttons per hour

Answer:

180°

Step-by-step explanation:

sin x + sin x cosx=0

sin x cos x=-sin x

cos x=-1

cos^-1 180=-1

x=180°

Answer:

y>-4.5

Step-by-step explanation:

The given inequality is :

[tex]\dfrac{y}{0.3}>-15[/tex]

We need to solve the inequality.

Multiply 0.3 both sides,

[tex]\dfrac{y}{0.3}\times 0.3>-15\times 0.3\\\\y>-4.5[/tex]

Hence, the value of y is greater than -4.5.

Step-by-step explanation:

The zeroes of f(x) are -2, -3 and 2.

Hence f(x) = (x + 2)(x + 3)(x - 2) = (x + 3)(x² - 4) = x³ + 3x² - 4x - 12.

Answer:

Step-by-step explanation:

“Suppose we covered a large section of wall with chalkboard paint.

How would we find the area we wanted to paint?” Your student might

answer, “Measure how high and how far across, then multiply.” Then

ask, “If one quart of paint covers 65 square feet of wall, how many

quarts would we need to paint the blackboard section with 2 coats?”

Your student would multiply the area by 2 and compare that number

to 65. For example, a blackboard 8 feet wide and 5 feet high is

40 square feet, and 2 coats would be 80 square feet. One can of

paint would not be enough.

• “Suppose we put new carpet in your bedroom. How many square feet

would we need to buy? How would we figure this out?” Your student

might answer, “Measure each wall of the room and multiply. If the

room isn’t a perfect rectangle, divide it into smaller pieces that are

easier to work with.”

Getting your student involved with home projects develops useful skills for

helping around the house, finding a part-time job, and eventually being

responsible for his or her own home.

Enjoy your time working together!

Answer:

It would either be A or B. But I would go with A

Step-by-step explanation:

It cant be C because the angles are not equivalent and it cannot be D because C is not right either. I hope this helps.

Answer:

The required equation is: [tex]\mathbf{x+2y=-16}[/tex]

Step-by-step explanation:

We need to find equation of the line that passes through the point (-4, -6) and is  perpendicular to the line

The equation of line will be in the slope intercept form [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

Finding Slope

First transforming the given equation [tex]2x -y = 6[/tex] in slope-intercept form:

[tex]2x -y = 6\\-y=-2x+6\\y=2x-6[/tex]

Now comparing the equation with general equation of slope intercept form We get slope m= 2

Since the two lines are perpendicular, the slope of new line will be opposite reciprocal of given line i.e [tex]m=-\frac{1}{m}[/tex]

So, Slope of required line is: [tex]m=-\frac{1}{2}[/tex]

Finding y-intercept

y-intercept can be found using slope [tex]m=-\frac{1}{2}[/tex] and point (-4,-6) as follows

[tex]y=mx+b\\-6=-\frac{1}{2}(-4)+b\\-6=+2+b\\b=-6-2\\b=-8[/tex]

So, y-intercept b = -8

Finding equation of line:

The equation of line having slope [tex]m=-\frac{1}{2}[/tex] and y-intercept b = -8 is:

[tex]y=mx+b\\y=-\frac{1}{2}(x)-8[/tex]

Now, writing the equation in standard form i.e Ax+By=C

[tex]y=-\frac{1}{2}(x)-8 \\ Multiply \ by \ 2\\2y=-x-16\\x+2y=-16[/tex]

So, the required equation is: [tex]\mathbf{x+2y=-16}[/tex]

Answer:

A: 12x+12=7x+56

Step-by-step explanation:

12(x+1)=7(x+8)

12x+12=7x+56

The answer is A : 12x+ 12 = 7x+ 56 can be derived from this proportion.

A linear equation exists an equation in which the highest power of the variable stands always 1. It stands even known as a one-degree equation. The standard form of a linear equation in one variable exists in the form Ax + B = 0. Here, x stands for a variable, A exists as a coefficient and B is constant.

Given,

12 (x+1) = 7 (x+8)

12x+ 12 = 7x+ 56

The correct answer is A : 12x+ 12 = 7x+ 56 can be derived from this proportion.

To learn more about linear equation refer to:

https://brainly.com/question/2030026

#SPJ2

Answer:

a = -12

(a equals negative twelve)

Answer:c

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

3rd option is your answer.....

Answer:

30

Step-by-step explanation:

Go to a calculator (symbolab) put 2 in the spaces of b because it can't function 2 variables and type a comma after the equation press space and write a=-3

Answer:

This is an Exponential decay

The Exponential decay rate = 35%

Step-by-step explanation:

Looking at that the above question, it is an Exponential decay

The formula for Exponential decay is:

A(t) = Ao (1 - r)^t

In the above question:.

A(t) = 1950 (0.65)^t

r = rate

Hence:

(1 - r) = (0.65)

1 - r = 0.65

r = 1 - 0.65

r = 0.35

Converting to percentage

0.35 × 100

= 35%

Hence, the Exponential decay rate is 35%

Answer:

65 degrees

Step-by-step explanation:

A triangle has all three angles add up to 180 degrees.

34 + 81 + x = 180 degrees

115 + x = 180

x = 180 - 115

x = 65 degrees

Answer:

30 degrees

Step-by-step explanation:

There are 12 seats. There are also 360 degrees in a circle.

If each seat is evenly spaced from another, there are 12 identical angles that are all spaced next to each other and sum up to 360 degrees.

360 degrees divided among 12 identical angles is 360/12 = 30 degrees

Answer:

x=12

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + x^2 = 15^2

81 + x^2 = 225

Subtract 81 from each side

x^2 =225-81

x^2 =144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x=12

UnIdentifyed

Step-by-step explanation:

Answer:

I am pretty sure it is y=-x/2 +3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+2y=6

subtract x

2y=6-x

Divide 2

y=3[tex]-\frac{1}{6}x[/tex]

Put equation in y=mx+b form

y=[tex]-\frac{1}{6}x[/tex]+3

Answer: they are different numbers

Step-by-step explanation:

Answer:your answer is 9 - 54/50

Step-by-step explanation:

Answer:

its the last one ;)

Step-by-step explanation:

Answer:

Its A i took this question

Step-by-step explanation:

the answer is 20 I believe (i'm so sorry if i'm wrong.)