Does anyone know this ?

Answer:

a) f(3) =6

b) g(-4) =16

Step-by-step explanation:

answer to a, substitute X with 3. which will be f(3)=9-3

=6

answer to b, substitute X with -4, which will be g(-4)=(-4)^2

=16

Answer:

x = log 7

Step-by-step explanation:

10^x=7

Take the log base 10 on each side

log10 (10^x)=log10 (7)

We dont need to write the 10, it is implied

log(10^x)=log (7)

The exponent  goes out front since log a^b = b log a

x log 10 = log 7

log 10 = 1 since the base is 10 log10(10) =1

x = log 7

Answer:

2250 i think

Step-by-step explanation:

Answer:

There are no solutions

Steps :

First we expand it

[tex]-3+6b=6b+5[/tex]

Then we add 3 to both sides

[tex]-3+6b+3=6b+5+3[/tex]

Then we simplify

[tex]6b=6b+8[/tex]

Then we subtract 6b from both sides

[tex]6b-6b=6b+8-6b[/tex]

Simplify

[tex]0=8[/tex]

No solutions !

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

9,000

Step-by-step explanation:

formula= I=prt

turn 3% into a decimal

x=(50k)0.03(6)

x=9000

correct me if im wrong but this should be correct

Answer:

25°

Step-by-step explanation:

2x - 5°  = x + 20°

2x - x = 20° + 5°

x = 25°

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Learn more about the law of cosines here:

https://brainly.com/question/17289163

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Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer: area= 16.8 yds^2

perimeter=18.8 yds

Step-by-step explanation:

Answer:

Perimeter = 20.2876 yds and Area = 16.8 yds^2

Step-by-step explanation:

Hope this helps :).

Answer:

C

Step-by-step explanation:

because to solve it you are seeing which number divises 52 to get you 13

so using the inverse you just need to use multiplication

Answer:

-39

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+52=13

Step 2: Subtract 52 from both sides.

x+52−52=13−52

x=−39

Answer:

x=−39

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by canceling the common factors.

Answer:

-

Step-by-step explanation:

-5/6÷-10

-5/6*1/-10

-5/-60

1/12

Answer:

here

Step-by-step explanation:

it is basically a sector , use the area formula i.e.  

[(theta)/360]*πr^2

Answer:

9 cm

Step-by-step explanation:

V = 1/3 pi r^2 h

V = 1/3 * 3.14 * 5^2 * h

236 = 1/3 * 3.14 * 25 * h

236 = 26.1667 h

236 / 26.1667  = h

9.019 = h

Rounded to the nearest whole number the h is about 9 cm.

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

A=90, B=86.896551724,C=90/29

Step-by-step explanation:

B+C=90

(x28)+x=90

x=90/ 29

((90/29)28)=B

A=90° because there is the symbol indicating a right angle

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Answer:

Step-by-step explanation:

Finding the 8th term of this sequence will be much easier with an explicit formula, so we will find that, find the 8th term, then write the equation for the recursive. The recursive formula is only good if you know all the terms before the one you're looking for. That means if we want the 8th term, we first have to find the 7th term, but before that we have to find the 6th term, etc...

We can find the explicit formula for this using the info we have about the 5th term and the 3rd term. The explicit formula looks like this, in general terms:

[tex]a_n=a_1*r^{n-1[/tex] where a1 is the first term and r is the common ratio. We can solve for both, one at a time. First, using the fact that the 5th term is 3888:

[tex]a_5=a_1*r^{5-1[/tex] and subbing in and simplifying:

[tex]3888=a_1*r^4[/tex] and we will solve that for a1:

[tex]a_1=\frac{3888}{r^4}[/tex]

Now the other equation we need for this system, using the fact that the third term is 108:

[tex]108=a_1*r^2[/tex] and we sub in our expression for a1:

[tex]108=(\frac{3888}{r^4})*r^2[/tex] which simplifies to

[tex]108=\frac{3888}{r^2}[/tex] and

[tex]r^2=\frac{3888}{108}[/tex] so

r = 6. Now we'll plug 6 in for r to find a1:

[tex]a_1=\frac{3888}{6^4}[/tex] so

a1 = 3. Now we have the a and r for the explicit formula:

[tex]a_n=3*6^{n-1[/tex] and we simply put in an  for n:

[tex]a_8=3*6^{8-1[/tex] and

[tex]a_8=3*6^7[/tex] which gives us the 8th term as

a8 = 839808

The recursive formula is

[tex]a_n=a_{n-1}*r[/tex] and it works, also, but again, you have to have all the terms that come before the one you want or this formula is useless. Explicit is always better, in my opinion.

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

a√b × p√q = ap√bq

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

Answer:

I the answer would be 150 millimeters.

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Work Shown:

1 cm = 10 mm

15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15

15 cm = 150 mm

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

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Answer:

C

Step-by-step explanation:

Corresponding parts of similar triangles are proportionate

Answers:

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Explanations:

Answer:

75.41 cm

Step-by-step explanation:

To find the circumference:

[tex]C = 2r\pi[/tex]

C= 24π = 75.398223686

= 75.41 cm