How can you find f(3) if f(x) = -2x2 – 4?

Answer:

81^5/4

Rewrite 81 in index form that is 3⁴

So we get

3⁴ × ^5/4

= 3^5

= 243

Hope this helps

Answer:

243 is correct

Step-by-step explanation:

Answer:

9:13.

Step-by-step explanation:

$1.30 = 130 cents

So the ratio is 90:130

= 9:13.

Answer:

line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.

answers to pairs of angles:

7. opposite interior angles

8. opposite interior angles

9. adjacent interior angles

10. corresponding angles

11.  opposite interior angles

Hope it helps

Step-by-step explanation:

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Answer:

C. 32,768

Step-by-step explanation:

Step 1

Convert the number of hours to minutes

2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as

1 hour = 60 minutes

2 hours 30 minutes =

Cross multiply

(60 minutes × 2 hours) + 30 minutes = 150 minutes.

Step 2

We are told in the question that the bacteria population doubles every 10 minute interval

Find the number of intervals in 150 minutes

= 150 minutes / 10 minutes interval

= 15 intervals

Step 3

The number of bacteria present after 2.5 hours is calculated using the formula of

= Amount of bacterium × 2ⁿ

Where n = number of intervals = 15

Amount of bacterium = single bacterium = 1

Number of bacteria = 1 × 2¹⁵

= 32,768

Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768

Answer:

y=-5x+28 general form

slope point :y-(-7)=-5(x-7)

Step-by-step explanation:

definition :perpendicular slopes are negative reciprocals of each other

x-5y-2=0

y=1/5 x-2/5

slope of the perpendicular line =1/m=-1/(1/5)=-5

slope point :y-(-7)=-5(x-7)

find b :

y=-5x+b

-7=-5(7)+b

b=-7+35=28

y=-5x+28

y=1/5 x-2/5

Answer:

3 - 1i

Step-by-step explanation:

3 - 6i + 5i

Add like terms.

3 - 1i

3 + -1i

a = 3

b = -1

Answer:

1. The equations is inconsistent and has no solution

2. The equations is consistent and has no solution

3. A pen costs $1.50 and a notebook costs $2.00

Step-by-step explanation:

Solving [tex]7x + 3y = 10[/tex] and [tex]3y = 9 - 7x[/tex]

[tex]7x + 3y = 10[/tex] --- Equation 1

[tex]3y = 9 - 7x[/tex] --- Equation 2

Add 7x to both sides in equation 2

[tex]7x + 3y = 9 - 7x + 7x[/tex]

[tex]7x + 3y = 9[/tex]  --- Equation 3

Subtract equation 3 from 1

[tex](7x + 3y = 10) - (7x + 3y = 9)[/tex]

[tex]7x - 7x + 3y - 3y = 10 - 9[/tex]

[tex]0 + 0 = 1[/tex]

[tex]0 \neq 1[/tex]

The equations is inconsistent and has no solution

Solving [tex]3x + y = 4[/tex] and  [tex]12x + 4y = 16[/tex]

[tex]3x + y = 4[/tex] -- Equation 1

[tex]12x + 4y = 16[/tex] ---- Equation 2

Make y the subject of formula in equation 1

[tex]y = 4 - 3x[/tex]

Substitute 4 - 3x for y in equation 2

[tex]12x + 4(4 - 3x) = 16[/tex]

[tex]12x + 16 - 12x = 16[/tex]

Collect Like Terms

[tex]12x - 12x = 16 - 16[/tex]

[tex]0 = 0[/tex]

The equations is consistent and has no solution

3. Solving John and Harry

Given;

Represent Pen with P and Notes with N

John: [tex]3P + 8N = 20.5[/tex]

Harry: [tex]4P + 5N = 16.00[/tex]

Required

Find P and N

Make P the subject of formula in equation 2

[tex]4P = 16 - 5N[/tex]

[tex]P = \frac{16 - 5N}{4}[/tex]

Substitute [tex]P = \frac{16 - 5N}{4}[/tex] in equation 1

[tex]3P + 8N = 20.5[/tex]

[tex]3(\frac{16 - 5N}{4}) + 8N = 20.5[/tex]

Open the bracket

[tex]\frac{48 - 15N}{4} + 8N = 20.5[/tex]

Take LCM

[tex]\frac{48 - 15N + 32N}{4} = 20.5[/tex]

[tex]\frac{48 + 17N}{4} = 20.5[/tex]

Multiply both sides by 4

[tex]4 * \frac{48 + 17N}{4} = 20.5 * 4[/tex]

[tex]48 + 17N = 82[/tex]

Subtract 48 from both sides

[tex]48 - 48 + 17N = 82 - 48[/tex]

[tex]17N = 82 - 48[/tex]

[tex]17N = 34[/tex]

Divide both sides by 17

[tex]17N/17 = 34/17[/tex]

[tex]N = 34/17[/tex]

[tex]N = 2[/tex]

Substitute 2 for N in [tex]P = \frac{16 - 5N}{4}[/tex]

[tex]P = \frac{16 - 5 * 2}{4}[/tex]

[tex]P = \frac{16 - 10}{4}[/tex]

[tex]P = \frac{6}{4}[/tex]

[tex]P = 1.5[/tex]

Hence, a pen costs $1.50 and a notebook costs $2.00

Answer:

99.84

Step-by-step explanation:

Take the original price and subtract the discount

125 - .25 * 125

125 -31.25

93.75

Now add in the tax

93.75+.065*93.75

93.75+6.09375

99.84375

Rounding to the nearest cent

99.84

Answer:

2(8x + 18) and 4(4x + 9)

Step-by-step explanation:

16 and 36 are both evenly divisible by 2 and 4.  Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).

Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression

16x + 36

= 4.4x + 4.9

16x + 36 = 4(4x+9)

= 2.2(4x + 9)

16x + 36 = 2(8x + 18)

Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.

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Answer:

Answer Choices??

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

168/14=12*13.72=164.64

._.

Answer:

A=-3

B=-1

ans:-1-(-3)=2

Step-11by-step explanation:

Ax+By=3,m1= -A/B

x+3y= -5,m2= -1/3

A/B=1/3(parallel)

3A=B

(-7,2)

-7A+2B=3

-7A+6A=3

A= -3

B=-3/3= -1

-1-(-3)=2

Answer:

625

Step-by-step explanation:

-5⁴

-5 × -5 × -5 × -5

= 625

the simplified value of the given Expression  (Negative 5) Superscript 4 will be 20.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given a mathematical expression  (Negative 5) Superscript 4

Simplifying the expression

=>  (Negative 5) Superscript 4

in other terms

=> (-5)⁴

=> -5*-5*-5*-5

=> 20

Therefore, the simplified value of the given Expression will be 20.

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Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!

Answer:

Step-by-step explanation:

a)180 degrees

b)parallel

c)90 degrees

d)supplementary and adiacent

e)right

f)supplementary

Answer:

a) 180°

b) parallel

c) 90°

d) adjacent  

e) right  angled

f) supplementary

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

Answer:

an = an-1 +4  

a1 = 14

Step-by-step explanation:

The recursive formula is

an = an-1 +d  where d is the common difference

a1 = initial term

a1 = 14

d = the difference between the terms

Take the second term and subtract the first term

18-4 = 4

That is the common difference

an = an-1 +4  

a1 = 14

If we will analyze this sequence, we will notice that:

So,

[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]

Therefore, the correct option is letter C.

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

Answer:

50%

Step-by-step explanation:

Percent increase formula for your problem:

#wolves increased / # of wolves there were originally

We have

(27-18) / 18

9 / 18

1 /2

1/2=50% So, there was a 50% increase!

Hope this helps

Answer:

3*m+1 and 3+2*m

Step-by-step explanation:

$600.99

Step-by-step explanation:

Because the cab company is located in New York. In New York, cab drivers basically rob you.

Answer:

The length of the segment BC is 3.6

Step-by-step explanation:

First you need to change 4 mm to .4 cm because mm and cm are not the same. So the total is 4 cm. but you only need to find BC. So in order to get BC, you do 4 - .04 which gives you 3.6. So the length of the segment BC is 3.6. There is a model if the explanation is not as clear.

Answer:

The function was expanded vertically by 5, and then translated vertically upwards 6 units.

Which is the third option in the list of possible answers.

Step-by-step explanation:

Recall that the types of transformations associated with:

A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;

B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.

Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]

consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Because they are vertically opposite angles.

Vertically opposite angles are always equal.

Please see the attached picture.

There,

<AOC and <BOD are formed by the intersected line segments and they lie to the opposite side of the common vertex. They are called vertically opposite angles. <AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.

Hope this helps ...

Good luck on your assignment...

Answer:

y = 30°

Step-by-step explanation:

X and Y are vertically opposite angles meaning they are equal

Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

Answer:

79

Step-by-step explanation:

If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.

Answer:

79 is correct  

Answer:

28.4 cups

Step-by-step explanation:

If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.

Now, we can set up a proportion:

[tex]\frac{176}{50} =\frac{100}{x}[/tex]

Cross Multiply:

176x = 5000

x = 5000/176 = 28.4 cups

The required number of cups that each person has 5.6 cups per 100 pounds.

There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.

Fraction is defined as the number of composition constitute the whole.

average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)

Number of cups per 100 pounds = 50/880*100

                                                       = 5.6 cups per 100 pound

Thus, the required number of cups that each person has 5.6 cups per 100 pounds.

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Answer:

B. 7/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the coordinates:

m = (15 - 8)/(9 - 5)

m = 7/4