Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.
f(x)=2(x−8) ^2−3

Answers

Answer 1

Answer:

It's a minimum, at (8, -3)

Step-by-step explanation:

Option 1: you unwrap the square , add like terms, and then recognize it's a parabola and find the coordinates of the vertex.

Or look at it as -3 + something ^2. It means you are adding something positive to -3, so the sum is greater or equal to -3, that is the definition of a minimum. At that point you find the minimum by setting that something equal to 0 (which gives you x = 8) and the value is -3 + 0 = -3


Related Questions

Find x, y, and z such that x³+y³+z³

Answers

Answer:

x= -y-z

y= -x-z

z= -x-y

i think this is it

Answer:

complete the question pls

Step-by-step explanation:

I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?

Answers

Answer:

$14

Step-by-step explanation:

We can make an equation

30%. . . . . .X

--------- = ---------

100. . . . . . .20

Now we cross multiply

100x = 600

x = 6

Now we subtract to find how much we will take home.

20 - 6 = $14 every hour will be made

Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25

Answers

0.25/-1=-0.25 because +/- = -

Please help! How to do this? Ill give brainly

Answers

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:

Answers

[tex]A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A[/tex]

The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

First, 7+3²-2⋅5

Solving the above expression

= 7 + 9 -2.5

= 16 - 2.5

= 13.5

Second,

(3/4+1/8)÷1/8

= (6/8 + 1/8) ÷ 1/8

= 7/8 ÷ 1/8

= 7/8 x 8/1

= 7

Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.

Learn more about Inequality here:

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Which of the following describes a similarity between a solid and a gas

Answers

Answer:

they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volume

What is the next number in the pattern

8.72, 8.52, 8.32 …

Answers

Answer:

3333

Step-by-step explanation:

3333

Answer:

8.12

Step-by-step explanation:

Because 0.20 is reduced after each number

8.72-0.20= 8.52

8.52-0.20=8.32

8.32-0.20=8.12

Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.

Answers

Answer:55 nail boxes

Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304

when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.

to find out the number of nails in eadh box we divide 330/6=55

2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).

Answers

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Answer:

l and n

Step-by-step explanation:

Translate the following word phrase into an algebraic expression: Nine times a number y.

Answers

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%

Get 50 points for an answer and brainlyiest for explination

Answers

Answer:

B

Step-by-step explanation:

Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=

Answers

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers

Answers

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

find the area of the triangle. 20ft, by 21ft. by 29ft.

Answers

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?

Answers

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Can someone Please answer this question fast?

Answers

Answer:

It is impossible to convert in square form.

Try quadratic formula

6.
5. ¿Qué número tiene el mismo
valor que l centena, 7 decenas?

Answers

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.


Answers

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

5x6=30

Each basket has five rolls so you have to do 5+5+5+5+5+5 which equals 30

685,327 round to the nearest thousand

Answers

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

 

Step-by-step explanation:

Which equations are true? Select all that apply.

A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06

Answers

Answer:

a b d e

Step-by-step explanation:

i just took the test and got a hundred

Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.

As a result, the true equations are,

66: 10 = 6.6

660: 10° = 66

6: 100 = 0.06​

Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

Learn more about the equation here,

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1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean? ​

Answers

Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution 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]

It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For this problem, using a calculator:

The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

A similar problem is given at https://brainly.com/question/24663213

please answer it fast .......^-^......​

Answers

Answer:

990- YES, YES, NO,YES, YES, NO, YES, YES, YES

1586- YES, NO, NO, NO, NO, NO, NO, NO, NO

275- NO, NO, NO, YES, NO, NO, NO, NO, YES

6686- YES, NO, NO, NO, NO, NO, NO, NO, NO

639210- YES, YES, NO, YES, YES, NO, NO, YES,YES

429714- YES, YES, NO, NO, YES, NO, YES, NO, NO

2856- YES, YES, YES, NO, YES, YES, NO, NO, NO

3060- YES, YES, YES, YES, YES, NO, YES, YES, NO

406839- NO, YES, NO, NO, NO, NO, NO, NO, NO

Step-by-step explanation:

hope this helped<3

pick a number, any number.

If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)

Answers

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

What is the value of w in the equation? 7w + 4 = 16 + 9 A.7 B.25 C.3 D.21

Answers

Answer: C

Step-by-step explanation:

16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25

The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?

Answers

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

I need answers 1 through 5 please

Answers

Answer:

1) first & last option

2) x=10

3) x=15

4) acute, acute, obtuse. right

5)

Step-by-step explanation:

(8)^2+(6)^2=(x)^2

64+36=x^2

square root of 100= square root of x^2

x= 10

Help plz I don’t understand how to do this math below

Answers

for 1/3 times 2/5: to find the product, multiply the numerators and multiply the denominators. the product is 2/15. for 2/5 divided by 3/5, multiply by the reciprocal. the product is 10/30 which can be simplified to 1/3.

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

What is the answer to :
2x (4+3) -5 x [4-(9-7)]
??

Answers

Answer:

8×+6×-5×{2}

8×+6×-10×

14×-10×

calculation: 2x(4+3)-5x[4-(9-7)]

2x × 7-5x [4-(9-7)]

14x - 5x [4-(9-7)]

14x - 5x [2]

14x -5x × 2

14x - 10x

4x

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