Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.

Answers

Answer 1

Answer:

The answer is pie

Step-by-step explanation:

I know best

Answer 2

Answer:

x = -6.00 (rounded to nearest hundredth)

Step-by-step explanation:

for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex]  we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]

Related Questions

Jennifer wants to buy a new television set that regularly sells for $900. Because she works at the store, Jennifer will receive an employee discount of 30% off the regular price, but she will have to pay 6% sales tax on the adjusted price. What will be Jennifer's final cost to buy the television?

Answers

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need

Answers

Answer:

5.44 gallons of paint

Step-by-step explanation:

First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.

Area=(length*width)4

Area=(12*8.5)4

Area=(102ft^2)4

Area=408ft^2

Therefore, the total area of the walls is 408ft^2.

Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.

408/75

=5.44 gallons

Therefore, we would need 5.44 gallons of paint to paint the four walls.

I hope this helps!

2500 + 110h < 3000 can you pls answer this

Answers

Answer:

4.5454545454545454. . .

Step-by-step explanation:

Original equation:

2500 + 110h < 3000

Subtract 2500 from both sides

110h < 500

Divide both sides by 110

h < 4.5 (rounded to the nearest tenth)

Hope this helps :)

Please consider Brainliest :)

Solve for the variable 4-14=5x

Answers

Answer:

X = 2

Step-by-step explanation:

4-14=5x

10=5x

10/5=5x/5

2=x

Answer: x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4−14=5x

Step 1: Simplify both sides of the equation.

4−14=5x

4+−14=5x

(4+−14)=5x

(Combine Like Terms)

−10=5x

−10=5x

Step 2: Flip the equation.

5x=−10

Step 3: Divide both sides by 5.

5x/5=−10/5

x=−2

Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing

Answers

Answer:

436.8 x 100 / 62.08 x 100 = 43680/6208

Step-by-step explanation:

When you write the problem as a fraction, multiply the numerator and denominator by 100.  Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.

Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.

Answers

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?

Answers

Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%

A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.

Answers

Answer: 2.6 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The watts used was;

= (5,657 * 28/60 hours) / 1,000

= ‭2,639.93333333

In kilowatts;

= ‭2,639.93333333/1,000

= 2.6399333 kilowatts

CO2 produced;

= 2.6399333 * 0.99

= 2.613533967‬

= 2.6 pounds of CO2

A square has a side that is 5 meters long. What is the diagonal length of the square?

Answers

Answer:

5 meters

Step-by-step explanation:

a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters

If i=sqr-1, what is the value of i^3?
-1
i
1
-i

Answers

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

given: 2c=d-2b, c=a-b, d=a+b prove: a=b

Answers

Answer:

D

Step-by-step explanation:

simplify the equation

Answers

Answer:

The answer is C

Step-by-step explanation:

I say this because you have to simplify and  plug in the numbers to get answer choice c

I NEED HELP W 36
pls pls pls pls help help!

Answers

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

plz help me out if you can​

Answers

Answer:

D $26

Step-by-step explanation:

Use the Distributive Property to write an equivalent expression. 20 + 24g A. 4 (5 + 6g) B. 20 (1 + 4g) C. 5 (4 + 6g)

Answers

Answer:

A.

Step-by-step explanation:

4(5+6g)

4*5+4*6g

20+24g

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

The given expression is 20+24g.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression can be simplified as follows:

20+24g

= 4(5+6g)

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

Which is the graph of f(x) = 2(3)x

Answers

The graph of f(x)=2(3)x would look like this

List the number from greatest to least 3/2, 0.75,-24,-3/2

Answers

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

Over 10 days it snowed 80 inches, how much did it snow in 1 day?

Answers

Answer:

8

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

I need help ._. Can u plz help me?

Answers

Answer:

#3

Step-by-step explanation:

Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7

Answers

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

help!! how do i solve this and what is the answer??

Answers

Answer:

Yes you got it right.

Step-by-step explanation:

x= -7/4

x= -1 3/4, x= -1.75

What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?

The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.

Answers

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

To learn more about vectors, refer;

https://brainly.com/question/13322477#SPJ2

#SPJ2

FAST!!!
Which graph shows the point M(3, 5)?
5
M
4
4
3
3
M
2
2
1
1
A
B
1
3
2
4
0
5 X
0
1
4
2
5 X
3
5
4
4
3
3
2
N
M M
1
M
4
3
0
1
2
5 X
4
3
0 1 2
5 X

Answers

Answer:

graph A is the answer because the M is at the 3 and it move up 5

The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?

Answers

A=Pi R^2
A= 3.14 x 1^2
A= 1

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

PLEASE HELPPPP!!
Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?

A: (x,y) (x+6,+6)
B:(x,y) (-x,y)
C: (x,y) (6x,6y)
D: (x,y) (-y,x)

Answers

Answer:

qwsedfgh

Step-by-step explanation:

Order the set of integers from least to greatest 5, -3, -12, 9

Answers

Answer:

-12, -3, 5, 9

Step-by-step explanation:

ok. So the numbers are 5, -3, -12, and 9.

In these numbers, there are 2 negatives. They are -12 and -3.

In negatives, the bigger the number is, the number is smaller.

So we first put

-12, -3 as our 2 first. Then the other ones are 5 and 9.

and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive

So then you put 5, 9

And our full answer is

-12, -3, 5, 9

-12, -3, 5, 9 is the correct order from least to greatest.

Find the inverse: f(x) = 4 + 4/5 x.

Answers

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS

Answers

Answer:

X = 56/14 = 4

Step-by-step explanation:

(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many

Answers

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

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