What is the range with steps? f(x)=x^2+8x+8

Answers

Answer 1

Answer:

[-8, ∞)

Step-by-step explanation:

Given function:

f(x)=x² + 8x + 8

This is a quadratic function with positive leading coefficient, therefore it is an increasing function with its minimum at vertex. It has no maximum value.

The vertex is at x = -b/2a:

x = -8/2 = -4

The minimum value is:

f(-4) = (-4)² + 8(-4) + 8 = 16 - 32 + 8 = -8

The range of the function is:

[-8, ∞)
Answer 2

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

Find vertex to x

[tex]\\ \sf\longmapsto \dfrac{-b}{2a}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-8}{2(1)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-8}{2}[/tex]

[tex]\\ \sf\longmapsto -4[/tex]

Find value of function at -4

[tex]\\ \sf\longmapsto f(-4)[/tex]

[tex]\\ \sf\longmapsto (-4)^2+8(-4)+8[/tex]

[tex]\\ \sf\longmapsto 16-32+8[/tex]

[tex]\\ \sf\longmapsto -16+8[/tex]

[tex]\\ \sf\longmapsto -8[/tex]

The range is

[tex]\\ \sf\longmapsto (8,\infty)[/tex]


Related Questions

Please help!! 7th grade math! will mark brainlist!!!​

Answers

Answer:

A: rectangle

B: still a rectangle

Step-by-step explanation:

Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.

Hope this helps love <3

Pls I am really struggling here
How do you know the end behavior of a polynomial function if the first number is a variable? Do you just move on to the next term that is a number

Answers

Answer:

You need to bring the function to the standard form.

The term with highest degree exponent is the leading term and its coefficient is the leading coefficient.

Let it be axⁿ.

Depending on the n and a, the end behavior of the function will change.

Case 1a > 0, n - is odd

This is an odd function and:

x → -∞ ⇒ f(x) → -∞x → ∞ ⇒ f(x) → ∞Case 2a < 0, n - is odd

This is an odd function and:

x → -∞ ⇒ f(x) → ∞x → ∞ ⇒ f(x) → -∞Case 3a > 0, n - is even

This is an even function and:

x → -∞ ⇒ f(x) ⇒ ∞x → ∞ ⇒ f(x) ⇒ ∞Case 4a < 0, n - is even

This is an even function and:

x → - ∞ ⇒ f(x) ⇒ - ∞x → ∞ ⇒ f(x) ⇒  - ∞

Answer:

Yeah your right

Step-by-step explanation:

find the value of x.

Answers

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The parallel lines cut the transversals proportionally, so we have ...

  (10 -x)/x = 3/2

  2(10 -x) = 3x . . . . . . . multiply by 2x

  20 -2x = 3x . . . . . . . eliminate parentheses

  20 = 5x . . . . . . . . . . add 2x

  4 = x . . . . . . . . . . . . divide by 5

Which expression is equivalent to?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Option(b)

Step-by-step explanation:

(x)^-5/3

=> 1/(3√(x)^5)

I need help with #28

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...

  ∠POQ +∠QOS = ∠POR +∠ROS

  ∠ROS = ∠POQ +∠QOS -∠POR

  ∠ROS = 28 +46 -61 = 13

if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage​

Answers

Hi,

To solve this problem, Let us take the LCM of 10 and 16 which will come 80.

Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n

According to the question, CP of 10 tables is equal to the SP of 16 tables, then

the SP of 16 tables will also be ₹ n.

So, SP of 80 tables will be ₹ 5n

So, Loss = CP-SP

→ 8n - 5n = ₹ 3n

Loss%= (3n×100)/8n

Loss%= 37.5%.

Hence the correct answer will be a loss of 37.5%.

a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?

Answers

Answer:

Step-by-step explanation:

At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?

Answers

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

Factor x^2+x+6
Plz help

Answers

Answer:

2

Step-by-step explanation:

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

Someone
pls help will mark brainliest!!!

Answers

Answer:

f(t)=-16t^2+8t+2

Step-by-step explanation:

You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2

11. The temperature was 81°F at 4PM and steadily decreased 3° each hour. What was the
temperature at 8PM?

Answers

Answer:

69°

Step-by-step explanation:

4x3 = 12

81 - 12 = 69

69°

I know the answer don’t know how though

Answers

Answer:

16384

Step-by-step explanation:

As,

[tex] {2}^{15} [/tex]

Meaning that 2 multiplied 15 times here,

Equals 32 768

Now,

[tex] {2}^{14} [/tex]

Meaning that 2 multiplied 15 times then divided by one time 2,

Equals 32 768 ÷ 2 = 16384 (Ans)

If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.

Answers

Answer:

2000

Step-by-step explanation:

equivalent expressions-8(3r-4)-6

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-8 (3r - 4) - 6}[/tex]

[tex]\huge\text{= -8(3r) + (-8)(-4) - 6}[/tex]

[tex]\huge\text{= -24r + 32 - 6}[/tex]

[tex]\huge\boxed{\textsf{COMBINE the LIKE TERMS}}[/tex]

[tex]\huge\text{= -24r + 6}[/tex]

[tex]\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number.
- 10,9

Answers

9514 1404 393

Answer:

  10, -1

Step-by-step explanation:

If you assume the numbers are integers, you can look at the factor pairs that make -10:

  -10 = 10(-1) = 5(-2) = 2(-5) = 1(-10)

The sums of these pairs are 9, 3, -3, -9, so the pair of interest is the first one:

  10, -1

The student body of 125 students wants to elect a president, vice president, and secretary. How many possible results are there?

Answers

125x124x123=?
President (1 person)
Vice(1)
Secretary (1)

Which of the following is true, according to the graph?

There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.

Answers

Answer:

a one is right answer

Step-by-step explanation:

h.j.j.k kaoa0

Can I please have some help fast

Answers

Answer:

The second one

Step-by-step explanation:

In that table, all the numbers in the column B can be found multiplying the numbers of column A by 4, and that's a property of ratio

Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.

Answers

General Arithmetic Terms

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

We want to find a8; we know:

a1 = 9d = 4

Substitute in the formula.

[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]

To find a8, substitute n = 8

[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]

Hence, the 8th term of sequence is 37

The subtotal amounts of a telephone bill are as follows. Find the grand amount if the service charge is 10% and VAT is 13%. (a) Rs 5000 (b) Rs 6000 (c) Rs 3000​

Answers

Answer:

............................. ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,____________

Step-by-step explanation:

I don't know

6927÷19 plz help me

Answers

When dividing 6927 by 19 you get 364.58
it equals 364 r11 (i’m pretty sure)

PLS HELPPPPPPPPPppppppp

Answers

collinear mean the point are lie on the same line.
H,A and S
H,D and S
Y, D and T
All correct

P, H and A not lie on the same line (not collinear)

If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?

Answers

Answer:

8 zeroes

Step-by-step explanation:

8.2*10^9=8200000000 which has 8 zeroes

simplify
-12 divided by 3 x (-8 + (-4) ^2 - 6) + 2

Answers

[tex] \large \mathfrak{Solution : }[/tex]

-12 ÷ 3 × (-8 + (-4)² - 6) + 2

-12 ÷ 3 × (-8 + 16 - 6) + 2

-12 ÷ 3 × 2 + 2

-4 × 2 + 2

-8 + 2

-6

If 32^2^c= 8^cC+7, what is the value of c?

Answers

Answer:

C=3

Step-by-step explanation:

what is an acid or a base​

Answers

an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .

A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .

hope this helps you

mrk me braniliest plz

Answer:

a acid is a substance that can donate protons . or accepts the balance protons to form a bond .

a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .

Need help for this question. ASAP

Answers

Answer:

Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed left

A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?

Answers

Answer:

$330

Step-by-step explanation:

To find the total area of the shop do 6 times 11

6*11 = 66 sq. yards

Now, do 5 * 66 because one yard is $5

5 * 66 = 330

It costs $330

What is the coefficient of the x-term in the expression 4x+5xy-2y

Answers

Answer: here the answer is 4
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