Evaluate composite functions

Answer 15c3d−7c2d2

Step-by-step explanation:

Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

-----------

aₙ₋₂= aₙ₋₁ - aₙ + 4

The first 3 terms: 6, 10 and 8

Answer:

The value of x is -2√2 or 2√2.

Step-by-step explanation:

Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :

[tex]y = \frac{k}{ {x}^{2} } [/tex]

[tex]let \: x = 7 \\ let \: y = 3[/tex]

[tex]3 = \frac{k}{ {7}^{2} } [/tex]

[tex]3 = \frac{k}{49} [/tex]

[tex]3 \times 49 = k[/tex]

[tex]k = 147[/tex]

[tex]y = \frac{147}{ {x}^{2} } [/tex]

Next, you have to substitute the y value into the equation to find x :

[tex]let \: y = 18.375[/tex]

[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]

[tex]18.375 {x}^{2} = 147[/tex]

[tex] {x}^{2} = \frac{147}{18.375} [/tex]

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

[tex]x = ± \sqrt{8} [/tex]

[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]

Answer:

4 terms

22x+33

Step-by-step explanation:

1. You count 1, 2, 3, 4 because there are no like terms to combine

2. you can use the distributive property to multiply the terms

(2x times 11) plus (3 times 11)

Answer:

4 terms; 22x + 33

Step-by-step explanation:

Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.

In 5m2 - mn + 4n + 7, the terms are:

There should be 4 terms in the expression.

[tex]11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}[/tex]

Answer:

3.7168917E-7

Step-by-step explanation:

Answer:

3.7168917E-7

Step-by-step explanation:

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

Answer:

D

Step-by-step explanation:

Because it is 25 dollars and A and C shows that their is 2500 dollars so x A and C out. Then B shows that n-d=4 but the question says that d-n=4.

yes jxjfnsuspfjidheagdkhrsojieeidhj

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

Answer:

CD = 7

Step-by-step explanation:

If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.

Answer:

Solution ⇒ 7

Step-by-step explanation:

Let us list the Given;

[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]

Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;

[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]

If we have to find the length of CD, given BD = 7 units;

[tex]CD = 7\\Conclusion, 7[/tex]

Answer:

is there an image?

Step-by-step explanation:

I don't really understand that what you need to knoe

Answer:

You didn't put the options but the answer is B, 45 degrees

Step-by-step explanation:

Did the quiz and you just have to divide 90 by 2

Answer:

-415

Step-by-step explanation:

Answer:

A is correct answer

Step-by-step explanation:

Answer:

There are 9 dimes in this collection.

Step-by-step explanation:

Dimes are 10¢; nickels are 5¢.

d + n = 31

0.1d + 0.05n = 2

In this system of equations, d represents the amount of dimes in this collection and n represents the amount of nickels in this collection.

1. Isolate n in the first equation.

n = -d + 31

2. Substitute this value into the other equation to find the value of d.

0.1d + 0.05(-d + 31) = 2

0.1d - 0.05d + 1.55 = 2

0.05d + 1.55 = 2

0.05d = 0.45

d = 9

If you'd like to know how many nickels are in the collection, just subtract the amount of dimes from the total number of coins in the collection.

31 - 9 = 22

Answer:

9 dimes

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

Answer:

D

Step-by-step explanation:

the formula is

a + b > c

a+ c > b

b+ c > a

The answer is D because

given lenght(D answer) A=1 , B=1, C=2

Thus, follow the formula.

a+b>c

1+1>2 ❌

a+c>b

1+2>1 ✅

b+c>a

1+2>1 ✅

we know that a+b>c is wrong, so, it cant form a triangle

Answer:

£ 14,430

Step-by-step explanation:

Costing Price = £13,000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14,430

Answer:

The perimeter of the rectangular box.

Step-by-step explanation:

Answer:

25 units

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Our points: (0, 0) and (7, -24)

[tex]d = \sqrt{7^2+(-24)^2}[/tex]

d = √(49+576)

d = √625

d = 25

Answer:

25

Step-by-step explanation:

You can also use the pythagorean theorem.

From  (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

[tex]7^2 +24^2=x^2[/tex], and now we can solve these squares to get

[tex]49+576=x^2\\625=x^2\\\sqrt{625} = x\\[/tex], So x = 25

Answer:

the answer should be D

Step-by-step explanation:

:)

Answer:

(x+1)(x-3)

Step-by-step explanation:

We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.

Answer:

(x+1) (x-3)

Step-by-step explanation:

(x+1)=0

x=-1

(x-3)=0

x=3

solutions are (-1, 3) we put -1 first because x always comes before Y value.

Please mark me as brainliest. I need to rank up.

Answer:

10

Step-by-step explanation:

( 2 + 3 ) × 2

5 × 2 = 10

Answer:

10

Step-by-step explanation:

(a+b)2

(2+3)2

5(2)

10

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

Last option is the correct answer

Answer:

ASA Postulate

Step-by-step explanation:

[tex] In\: \triangle TKS\: \& \: \triangle TLR\\

\angle 1 \cong \angle 2....(given) \\

TK \cong TL... (given) \\

\angle 3 \cong \angle 4....(given) \\

\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]

Answer:

First option is the correct choice.

Step-by-step explanation:

AAS theorem applies here to prove the claim.

Best Regards!

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Answer:

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither

Answer:

Neither

Step-by-step explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out.  Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Answer:option A

(4.2✖️10^3)(2.6✖️10^4)

4.2✖️2.6✖️10^3✖️10^4

10.92✖️10^3+4

10.92✖️10^7

10.92✖️10✖️10^6

1.092✖️10^6

Step-by-step explanation:

I hope this will help you:)

Answer:

1.092 x 10^8

Step-by-step explanation:

(4.2 x 10^3)(2.6 x 10^4)

Multiply the numbers

4.2* 2.6 =10.92

Add the exponents

10^3 * 10 ^4 = 10 ^(3+4) = 10^7

10.92 * 10^7

But this is not scientific notation, there can only be one digit in front of the decimal

Move the decimal one place to the left and add one to the exponent

1.092 * 10 ^(7+1)

1.092 x 10^8

​

Answer:

square root of 192

Step-by-step explanation:

12 cos 30 degrees + 2 tan 60 degrees

= 12* (root 3 /2) + 2* root 3  [as cos 30= root 3/2 and tan 60 = root 3]

=6 root 3 + 2 root 3

= 8 root 3

= square root of 64*3

=square root of 192

= square root of k [ where k = 192 = integer]

Trigonometry ratios are used to represent sine, cosine and tangent functions

The value of [tex]\mathbf{12cos(30) + 2tan(60)}[/tex] is [tex]\mathbf{\sqrt {192}}[/tex]

The trigonometry equation is given as:

[tex]\mathbf{12cos(30) + 2tan(60)}[/tex]

In trigonometry,

[tex]\mathbf{cos(30^o) = \frac{\sqrt 3}{2}}[/tex]

[tex]\mathbf{tan(60^o) = \sqrt 3}[/tex]

So, we have:

[tex]\mathbf{12cos(30) + 2tan(60) = 12 \times \frac{\sqrt 3}{2} + 2 \times \sqrt 3}[/tex]

Evaluate all products

[tex]\mathbf{12cos(30) + 2tan(60) = 6\sqrt 3 + 2 \sqrt 3}[/tex]

Add roots

[tex]\mathbf{12cos(30) + 2tan(60) = 8 \sqrt 3}[/tex]

Express 8 as square root of 64

[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {64} \times \sqrt 3}[/tex]

So, we have:

[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {64 \times 3}}[/tex]

Evaluate product

[tex]\mathbf{12cos(30) + 2tan(60) = \sqrt {192}}[/tex]

The form is given as:

[tex]\mathbf{\sqrt {k}}[/tex]

By comparison, we have:

[tex]\mathbf{k = 192}[/tex]

Hence, the value of [tex]\mathbf{12cos(30) + 2tan(60)}[/tex] is [tex]\mathbf{\sqrt {192}}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

Answer:

2.1 x 10^5  = 210,000.

Step-by-step explanation:

Convert 2.1 x 10^5 to ordinary form

10^5 = 100000

2.1 = 21/10

Thus.

2.1 x 10^5 = 21/10 * 100000 = 210,000

Ordinary form of 2.1 x 10^5  is 210,000.

Answer:

6,12,18

Step-by-step explanation:

write the question as an equation

(1x)^3 + (2x)^3 + (3x)^3 = 7776

Simplify, rearrange and solve.

1x^3 +8x^3 + 27x^3 = 7776

36x^3 = 7776

x^3 = 216

x = 6.

Now, the numbers were= x, 2x, 3x = 6,12,18

Hope this helps