Given the function ƒ(x) = 5x^2 − 9x + 18, find ƒ(3). A) ƒ(3) = 31 B) ƒ(3) = 36 C) ƒ(3) = 49 D) ƒ(3) = 85

Answer:

the answer is 9-4i

Step-by-step explanation:

multiply

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

Answer:

k(5k +7)

Step-by-step explanation:

The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets

Answer:

5k^2+7k = k(5k+7)

Step-by-step explanation:

5k^2/k = 5k

7k/k = 7

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

[tex]82 = w + 1[/tex]

Then we would subtract 1 from both sides, then we are left with w:

[tex]w = 81[/tex]

Hope this helps!

Answer:

500%

Step-by-step explanation:

10= 100%

50= 5*10= 5*100%= 500%

Answer:

the middle one is the correct answer

Step-by-step explanation:

Answer:

the answer is (1,R)

Step-by-step explanation:

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

Answer: 12

Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.

Multiples of 6

1 × 6 = 6

2 × 6 = 12

3 × 6 = 18

Notice that we skipped 0 × 6 in our list of multiples.

That's because 0 × 6 is 0 and our least common multiple can't be 0.

When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples of 12

1 × 12 = 12

Notice that 12 is also a multiple of 6 so our least common multiple is 12.

We can stop here because all other multiples

that we find will be greater than 12.

So the least common multiple or LCM of 4 and 12 is 12.

Answer:

The LCM is 12

3  times 4 = 12 :)

Explanation:

This is for contrapositive negating the converse of the conditional.

Hence,option D is correct.

Hope it helps

Good luck on your assignment

Answer:

n+6

Step-by-step explanation:

sum means add

n+6

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

Answer:

The answer is A.

Step-by-step explanation:

You have to add up both polynomials together :

A = 7x² + 3xy

B = -3xy

A + B = 7x² + 3xy + (-3xy)

= 7x² + 3xy - 3xy

= 7x²

Answer:

384 m^2

Step-by-step explanation:

Surface area of cube = area of 1 side x 6

area of 1 side, in this case = 64 m^2

so, total surface area = 64 x 6 = 384 m^2

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

Hope this helps!

:)

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

Answer:

Please check the explanation part for more details.

Step-by-step explanation:

1. Solve [tex]7y - 6= 2y + 8[/tex]

Send all components contain [tex]y[/tex] to the left, the other components to the right:

<=> [tex]7y - 6 = 2y + 8[/tex]

(sign of  [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)

<=> [tex]5y = 14[/tex]

Divide both sides of equation by [tex]5[/tex]:

<=> [tex]y = \frac{14}{5}[/tex]

2. Show that  [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]

First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).

[tex]8 = 2^{3}[/tex]

6 = [tex]2[/tex] x [tex]3[/tex]

=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]

Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]

=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]

Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]

=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]

=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]

3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]

[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]

4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]

Hope this helps!

:)

Answer:

n iynoo etindeo soiefijnqaifnqaiwrfofoainjfoiawsfiowoianfqaihjnfoiansn

Step-by-step explanation:

Answer:

AA similarity postulate

Step-by-step explanation:

so if you look at the angle they both have a 90 and the larger triangle is just flipped a different way. because triangles must add up to 180, you have your 90 degree angle on both and the larger one has one degree of 50 meaning its other angle must be 40 in order to add up to 180 and the smaller triangle is the opposite as it has a 40 and 90 degree angle meaning the other must be 50 therefore have Angle Angle similarity

Answer:

C.

Step-by-step explanation:

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

Answer:

$252

Step-by-step explanation:

If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

m = (y2-y1)/(x2-x1)

   = (5-0)/(3-0)

   = 5/3

Answer:

D

Step-by-step explanation:

To find the standard function, open the bracket

f(x) = (x-2)^2 + 6

(x-2)^2 becomes

x(x-2) -2(x-2)

= x^2 -2x -2x + 4

= x^2 -4x + 4

Now add 6 and it becomes x^2 -4x + 4 + 6

= x^2 -4x + 10

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Answer:

its a

Step-by-step explanation: