SERIOUS ANSWERS ONLY WILL GIVE BRAINLIEST

Use the function f(x) to answer the questions:

f(x) = 4x2 + 8x − 5

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]

How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?

This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.5 = \frac{X - 96}{8}[/tex]

[tex]X - 96 = -1.5*8[/tex]

[tex]X = 84[/tex]

84 months = 7 years.

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Given:

The piecewise function is:

[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]

To find:

The values of [tex]f(-3),f(0), f(-1)[/tex].

Solution:

In the given piecewise function,

[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].

Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get

[tex]f(-3)=9(-3)[/tex]

[tex]f(-3)=27[/tex]

Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(0)=0-4[/tex]

[tex]f(0)=-4[/tex]

Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get

[tex]f(-1)=-1-4[/tex]

[tex]f(-1)=-5[/tex]

The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].

Therefore, the correct option is D.

Normal good

There are 3 basic types of commodities or goods;

i. The normal good

ii. The luxury good

iii. The inferior good

Relative to income and demand, when an increase in income causes an increase in the demand for a good, then the good is a normal good. For a normal good, the measure of the responsiveness of demand to a change in income (known as income elasticity of demand) is always greater than 0. In other words, it is positive.

If instead, an increase in income causes a decrease in the demand for a good, then the good is an inferior good. The income elasticity of demand for an inferior good is less than 0. In other words, it is negative.

When the increase in income causes a larger percentage in the demand for a good, then the good is a luxury good. Luxury goods are a special type of normal goods. The income elasticity of demand for a luxury good is greater than 1 since their is a larger percentage increase in the demand.

Income elasticity of demand is calculated by finding the ratio of the percentage increase in the demand to the percentage increase in income.

In the illustration given, the consumer's income increases by 50% causing the demand for good Y to increase by 25%. This is an example of a normal group. i.e increase in income causes an increase in the demand for good Y.

The income elasticity of demand for good Y is given as the ratio of the percentage increase in demand (25%) to the percentage increase in income (50%). Therefore, the income elasticity of demand for good Y is;

25% / 50% = 0.5

Since the income of elasticity of demand for good Y is 0.5 which is greater than 0, good Y is a normal good.

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=-2x+1[/tex]

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-2x+b[/tex]

Plug in the given point (2,4) to solve for b

[tex]4=-2(2)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate b

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:

[tex]y=-2x+8[/tex]

I hope this helps!

Answer:

5.5

Step-by-step explanation:

[tex] \frac{1}{6 - d} = \frac{1}{d - 5} \\ \\ \therefore \: 6 - d = d - 5 \\ \\ 6 + 5 = d + d \\ \\ 11 = 2d \\ \\ d = \frac{11}{2} \\ \\ d = 5.5[/tex]

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Let's consider each of the statements.

1. Six below zero.

⟹ Any number below zero will be negative. So, the value will be [tex]\boxed{-6}[/tex]

____________________

2. The opposite of six.

⟹ The opposite of 6 wil be negative 6. The value again will be [tex]\boxed{-6}[/tex]

____________________

3. Negative six.

⟹ Negative six in numerical form is [tex]\boxed{-6}[/tex]

____________________

4. The absolute value of six.

⟹ Here they've asked the absolute value of 6 which will be [tex]\boxed{6}[/tex]

____________________

⏩ So, the statement which doesn't have the same value will be ⇻ [tex]\boxed{statement \ 4}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex]RainbowSalt2^{2}2^{2}[/tex]

Hey buddy I am here to help!

Yes these r similar!

Hope this helps!

Plz mark me brainliest!

Answer:

Amber rode for 36 minutes in total.

Step-by-step explanation:

Lets create a ratio table:

Time elpased (minutes) : Laps around park

                                    9 : 1

                                  36 : 4

Amber rode for 36 minutes in total.

đã đi 36 phút.

từng bước

                                   9: 1

                                 36: 4

Amber đã đi tổng cộng 36 phút.

Answer:

[tex] \sqrt{113} [/tex]

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (-4, -5) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]

[tex] d = \sqrt{64 + 49} [/tex]

[tex] d = \sqrt{113} [/tex]

The formula in finding the distance between two points is given below:

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: Determine the distance between (-4, -5) and (4, 2).

From inspection on the given problem:

Substitute the given values into the distance formula and solve for d:

Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437

Answer: Rational

Step-by-step explanation: bc

Answer:

x = 590/11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

50 + x + 10 + 8x + 2x = 650

Step 2: Solve for x

Answer:

x= 590/11

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

30. A right triangle has one angle that is 90°

All angles add to 180°

180 - 90 - 60 = 30

Step-by-step explanation:

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

Explanation:

The main group or cluster of values spans from 32 to 42 (inclusive).

Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.

Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.

--------------

Let's consider the set

A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}

where I've sorted the values and I replaced 76 with 46.

Computing the mean of set A gets us

(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately

--------------

Now let's form this set

B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}

which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.

Compute the mean of set B

(32+34+35+36+37+38+38+41+42+42+76)/11 = 41

---------------

Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

Answer:

1.16 m (approximately)

Step-by-step explanation:

Let x be the width of the path.

Total area  = (5+2x)(3+2x) = 39

Expand and simplify

4x²+ 16x+15-39 = 0

4x² + 16x - 24 = 0

Simplify

x² + 4x -6 = 0

Rational factoring does not work, so use quadratic formula

x = +/- sqrt(10) -2

= 1.16 or -5.16 (reject)

= 1.16 m (approximately)

Answer:

a) Japan =0.599

US= 0.006

b) Japan

Variance= 0.475

Standard Deviation =0.69

USA

Variance =2.4

Standard Deviation= 1.55

Step-by-step explanation:

A represents the number of defendants found guilty in Japan in 10 trials

B represents the number of defendants found guilty in US in 10 trials

A represents a binomial function such that n=10,p=0.95 and B represents a binomial function such that n=10,p=0.60

a) Japan: P(A=10)=0.95^10=0.599

US: P(B=10)=0.60^10=0.006

b) Japan:

Expected number of guilty verdicts in 10 trials in Japan =  np=10*0.95=9.5

Variance: Var(A) = np(1-p) = 10*0.95*(1-0.95) = 0.475

Standard Deviation = sd(A)=√0.475=0.69

US:

Expected number of guilty verdicts in 10 trials in USA = np=10*0.60=6

Variance: Var(B)=np(1-p)=10*0.6*0.4=2.4

Standard Deviation sd(B)=√2.4=1.55

Answer:

x = 7

Step-by-step explanation:    6  25  13  55

since these are similiar triangles the sides of one triangle are equal to the other triangle by the same ratio

The ratio of 90/27  is the same as the (9x-13)/15  ratio

(9x-13)/15 = 90/27

9x - 13  = 15 × 90/27

9x - 13  = 15 × 3 1/3

9x - 13 =   50

9x  =  63

 x = 7

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

Answer:

Step-by-step explanation:

Since all the grids have 100 squares, which grid has all squares shaded? And which grid has 40 (4 columns) shaded? This add up to 100+40=140. The answer, of course, is C+D (last answer). None of the others have enough shaded squares

Answer:

139 oz.

Step-by-step explanation:

If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.

Answer:

x=40

Step-by-step explanation:

I went through each answer one by one and the only one that satisfies the question is 40.

The line equals 180°, so x + (4x-20) must equal 180.

x+(4x-20)

40+(4(40)-20)

40+(160-20)

40+140=180

x=40

Answer:

x= 40

Step-by-step explanation:

sum of angle on a straight line= 180;

To find X,

sum of angles = 180

x+(4x-20)= 180

: x= 180- [x+(4x-20)]

opening the brackets,

= 180-x-4x+20= 0

taking like terms:

= -x-4x+180+20= 0

= -5x+200=0

= -5x= -200

= x= 200/5

x= 40°

Answer:

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Step-by-step explanation:

A. Determination of the time it takes for the object to 1000 ft.

Distance (d) = 1000 ft

Time (t) =?

t = √(d/16)

t = √(1000/16)

t = 8 s

B. Determination of how much feet an object will fall in 10 s.

Time (t) = 10 s

Distance (d) =?

t = √(d/16)

10 = √(d/16)

Take the square of both side

10² = d/16

100 = d/16

Cross multiply

d = 100 × 16

d = 1600 ft

SUMMARY

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Answer:g(x) = 3/2x + 2 and a half?

Step-by-step explanation: sorry not good at college math, but at least i tried.

Answer:

Step-by-step explanation:

BUG is 30 degrees more than GUY

So that means if <GUY = x

< BUG = <GUY + 30

Together they make 180 degrees

<BUG + <GUY = 180        Substitute for <BUG

<GUY + 30 <GUY = 180  Combine

2*<GUY + 30 = 180          Subtract 30 from both sides

2*<GUY = 150                   Divide by 2

<GUY = 150/2

<GUY = 75

<BUG = 75 + 30

<BUG = 105

Answer:

10

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

Answer:

8

Step-by-step explanation:

40÷5=8

Hope this helps! :)

Answer:

It is there difference:

20-5

15