Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.

Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum

Answer:

D.) 68 units²

Step-by-step explanation:

The formula for the area of a triangle is:

A = bh/2

where b is the base and h is the height

Substitute the given values into this formula:

A = bh/2

A = (17)(8)/2

Solve:

A = (17)(8)/2

A = 136/2

A = 68

Therefore, the area is 68 square units.

Answer:

5+(-4)=14+(-13)

Explanation:

5+(-4)=1

14+(-13)=1

Answer:

a im not to sure but tjats what I got

Answer A is correct. C is correct.

Step-by-step explanation:

Answer:

c.20

Step-by-step explanation:

x^2+21^2=29^2

x^2+441=841

x^2=400

x=20

Answer:

its a slope....

Step-by-step explanation:

Answer:

b 5-4

Step-by-step explanation:

this is because the line is

beneath 5

Answer:

$78,000

Step-by-step explanation:

Because their are 52 weeks in a year and 52 X 1500 is $78,000

Answer:

Since there are 52.14 Weeks in a year you would multiply how many weeks there are in a year and how much Mr.white gets paid weekly and you get $78,210 in year.

Step-by-step explanation:

Answer:

[tex]x=4/55\\y=-69/55[/tex]

Step-by-step explanation:

[tex]\frac{55}{4} y=\frac{-69}{4}[/tex]

[tex]y=\frac{-69}{55}[/tex]

[tex]x=\frac{-9(-69/55)-11}{4}\\x=\frac{4}{55}[/tex]

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given the 2 equations

- 4x + 9y = - 11 → (1)

- 3x + 7y = - 9 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding will eliminate the term in x

- 12x + 27y = - 33 → (3)

12x - 28y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- y = 3 ( multiply both sides by - 1 )

y = - 3

Substitute y = - 3 into either of the 2 equations and evaluate for x

Substituting into (1)

- 4x + 9(- 3) = - 11

- 4x - 27 = - 11 ( add 27 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Solution is (- 4, - 3 )

Answer:

B) They will have the same amount in week 4.

Step-by-step explanation:

Jose:  y = -25x +250

Martin: y = 30x + 30

Plug in 6

Jose: y = -25(6) + 250    y = 100

Martin: y = 30(6) +30      y = 2100

Plug in 4

Jose: y = -25(4) + 250      y = 150

Martin: y = 30(4) + 30         y = 150

Answer: $2400

Step-by-step explanation:

SI = Prt / 100

SI = 2000 x .04 x 5

SI = 400

FInal Amount = 2000 + 400 = $2400

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer: y=-5x+7 ✌️ Is correct

Y=Mx+b

Answer:

Step-by-step explanation:

When we plan an effective budget, we certainly need to gather some data about the theme, which includes, prices, description of the stuff we need. Once we have the data we need, then we must organize it to set priorities, to make the budget effective.

Additionally, estiamting and finding averages are important skills, because we need to estimate how effective is the budget. In fact, maybe we would desing different budgets to compare them and analyse, using averages, which one is the most effective.

Answer:

( original - new)/ original * 100 %

Step-by-step explanation:

Take the new amount

Subtract the original amount

( original - new)

Then divide by the original amount

( original - new)/ original

Multiply by 100% to get  the percent loss

( original - new)/ original * 100 %

Answer:

I plugged them all in, but none were the solution

Step-by-step explanation:

a). 232 - 21

232 + 21

b) 236 - 9i

236 + 9i

c). 198 - 3i

d). 373 - 3i

maybe you had a typo?

[tex] \frac{7 - \sqrt{} 29} {2} [/tex]

[tex]x {}^{2} - 7x = - 5 \\ x {}^{2} - 7x - ( - 5) = - 5 - ( - 5) \\ x {}^{2} - 7x( - 5) = 0 \\ x {}^{2} - 7x + 5 = 0 \\ x = \frac{ - ( - 7 + \sqrt{( - 7 {) }^{2} - 4 \times 5} }{2} \\ x = \frac{ - ( - 7 + \sqrt{49 - 4 \times 5} }{2} \\ x = \frac{ - ( - 7) + \sqrt{49 \times 20} }{2} \\ x = \frac{ - ( - 7) \sqrt{29} }{2} \\ x = \frac{7 + \sqrt{29} }{2} \\ \frac{ \sqrt{29 + 7} }{2} \\ x = \frac{7 - \sqrt{29} }{2} \\ x = \frac{ \sqrt{29 + 7} }{2} \\ x = \frac{7 - \sqrt{29} }{2} [/tex]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

Answer:

the correct answer is b

Step-by-step explanation:

The reason why B is the correct answer is because The segment that is a radius is RO

Answer:

OB, OJ, OE

Step-by-step explanation:

Any segment joining the centre of the circle O to the circumference is a radius.

There are 3 possible radii

OB, OJ and OE

Answer:

hello

Thanh have 3,5 meters of fabric. i can say

3,5/1 for it.

and i can say 35/10

now he used three-fourths of a meter of fabric.

its equal to 3/4

now i have to remove 3/4 from 35/10.

35/10 - 3/4

denominators have to be same thats why im expanding them to 20.

35×2/10×2 = 70/20

3×5/4×5 = 15/20

now i can remove 15/20 from 70/20!

70/20 - 15/20 = 55/20

we cannot see 55/20 in the options.

thats why im dividing them with 5.

55÷5= 11 20÷5=4

the answer is 11/4

11/4 = 2and 3/4

so its option 2

good luck(:

Answer:

The distance between the 6th and 10th seat is approximately 126m

Step-by-step explanation:

First of all, we will need to calculate the circumference of the circular fair ride.

This is [tex]2\pi r= 2 \times \pi \times 60=377m[/tex]

hence the circumference of the circle is 377m

At this point, we will have to take note that the pods are equally spaced.

To get the distance between the sixth pod and the tenth pod, we will have to use the principle of fractions of a whole.

There are 12 seats in total, the distance between the 6th and tenth seat is 4 seats. Expressing this distance in terms of seats, as a fraction is 4/12 equally spaced seats.

This ratio can be related to the circumference of the circle as

[tex]\frac{4}{12} \times377=125.66m \approx 126m[/tex]

Therefore, the distance between the 6th and 10th seat is approximately 126m

Answer:

C i know this for a fact

Step-by-step explanation:

hope this helps ''whole lotta love'' NUNU

Answer:

answer is c

Step-by-step explanation:

took the test lol

Answer:

12 miles

Step-by-step explanation:

6 times 2 = 12

Answer:

Your answer should be 162 yards

                  Hope this helped! and have a great day!

Answer:

162 yards

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

-t+5=7

-t=2

t=-2

Answer:

One solution: t = -2.

Step-by-step explanation:

To figure out how many solutions an equation has, it would be best to compute the solution first.

Given:

3t + 5 = 4t + 7 // Subtract 3t from both sides.

5 = t + 7 // Subtract 7 from both sides.

t = -2.

I hope this helps!

Answer:

n-3/n

Step-by-step explanation:

Answer:

4480n^3

Step-by-step explanation:

just multiply 80n x 56n and get 4480n but since 80n is to the 2nd and 56n is to the first add them to get to the power of 3 and put that on 4480n

Answer:

8n(10n +7)

Step-by-step explanation:

80n^2+56n​

Factor out the greatest common factor 8n

8n(10n +7)

Answer:

(g°f)(4) = -1296

Step-by-step explanation:

It is given that:

g(x) = -6x² - 86x - 8

f(x) = 4x - 2

First find the equation of (g°f)

(g°f) = g [ f (x) ]

(g°f) = g [ 4x-2 ]

Substitute 4x-2 for x in formula of g(x)

g(x) = -6x² - 86x - 8

g(4x-2) = -6(4x - 2)² -8(4x - 2) - 8

g(4x-2) = -6(16x² + 4 - 2(4x)(2)) - 32x + 16 - 8

g(4x-2) = -96x² - 24 +96x - 32x + 16 - 8

g(4x-2) =  -96x² + 64x - 16

(g°f)(x) =  -96x² + 64x - 16

Substitute x=4 into the equation:

(g°f)(4) =  -96(4)² + 64(4) - 16

(g°f)(4) = -1296