easy math problem !,!!,!

Answer:

1.d

2.b

3.c

4.d

5.c

Step-by-step explanation:

1. f(x) + g(x) = x - 11.

2. f(x) - g(x) = - 3x + 9.

3. f.g = 30x² + 28x - 6, all real numbers.

4. f/g = x + 4, all real numbers, x ≠ 4.

5. It doesn't matter which discount is applied first the result is the same.

When the output of one function is given to the input of another function they are called composite functions.In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

1. f(x) = - 5x - 4 and g(x) = 6x - 7.

Therefore, f(x) + g(x) = - 5x - 4 + 6x - 7.

f(x) + g(x) = x - 11.

2. f(x) = 3x + 2 and g(x) = 6x - 7.

Therefore, f(x) - g(x) = 3x + 2 - (6x - 7).

f(x) - g(x) = 3x + 2 - 6x + 7.

f(x) - g(x) = - 3x + 9.

3. f(x) = 5x + 3 and g(x) = 6x - 2.

Therefore, f.g = f(x)×g(x) = f(x).g(x).

f.g = (-5x + 3)(6x - 2).

f.g = -30x² + 10x + 18x - 6.

f.g = 30x² + 28x - 6.

The domain is all real numbers no restrictions.

4. f(x) = x² - 16 and g(x) = x + 4.

Therefore, f/g = f(x)/g(x).

f/g = (x² - 16)/(x + 4)(x - 4).

f/g = (x + 4)(x - 4)/(x - 4).

f/g = x + 4.

The domain of f/g is all real numbers except x ≠ 4.

5. Let, The original amount be 100.

25% off on 100 is 75 and 10% off again is 75 - 7.5 = 67.5.

Again, 10% off on 100 is 90 and 25% off on 90 is 90×0.75 = 67.5.

So, Both way is the same.

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Answer:

B) Infinitely many solutions.

Step-by-step explanation:

-x + 4y = 24

4y = x + 24

y = 1/4x + 6

It is the same equation twice.

A) Disagree, The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

B) A vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, We know that;

The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

Therefore, the parent function would not move three units to the left.

It seems that Sam has a misconception about vertical and horizontal transformations.

For clarify, a vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

Thus, We get;

A) Disagree, The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

B) A vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

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Answer:

2000 is the answer hope it helps

Step-by-step explanation:

selling price=2500

profit=25%

cost price+profit=selling price

let cost price be 100

profit percentage= 25%=25

selling price=100+25=125

selling price= 2500 given,

cost price=(2500/125)×100=2000

cost price of good is 2000.

Step-by-step explanation:

Given that:-

To find:-

We know that,

[tex]{ \bigstar \: { \underline{ \boxed{ \cos( \theta ) \: = \sf\frac{adjecent \: side}{hypotenuse} }}}}[/tex]

Solution:

[tex] \longrightarrow \rm \cos(B) = \dfrac{BC}{AB} [/tex]

[tex]\longrightarrow \rm \cos(B) = \dfrac{9.5}{11} [/tex]

[tex]\longrightarrow \rm \cos(B) = \dfrac{95}{110} [/tex]

[tex]\longrightarrow \rm \cos(B) = 0.8 63[/tex]

[tex]\longrightarrow \rm \cos(B) \approx \: 0.9[/tex]

Therefore:

Answer:

55: 62.44

26 :29.52

62.44 - 29.52 = 32.92

Step-by-step explanation:

Have a good day!

Answer:

£81

Step-by-step explanation:

£55+£26=£81

Answer:

Step-by-step explanation:

Batch A

Batch B

Batch C

General equation would be:

Answer: j=2.5s

Step-by-step explanation:Got answer from Khan

The distance from tree 1 to tree 3 is about 205 meters.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the distance from tree 1 to 2, b from 2 to 3 and c from tree 3 to 1.

Hence:

a + b = 335

Also:

b + c + a = 540

a + b + c = 540

335 + c = 540

c = 205 meters

The distance from tree 1 to tree 3 is about 205 meters.

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Answer: A. x > -8

Step-by-step explanation: have a wonderful day!!!!!!!!

Answer:

There is a positive correlation and the puppy gained about 1.5 kg

Step-by-step explanation:

→ Find initial weight

4.5

→ Find final weight

6.0

→ Subtract

1.5

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

37.5%

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

15×2= 30

5×?

?= 30/5

? = 6

Answer:

Missing numerator = 6

Step-by-step explanation:

Let us assume that,

→ Missing numerator = x

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 2/5 = x/15

Then the value of x will be,

→ 2/5 = x/15

→ 2 × 15 = x × 5

→ 30 = 5x

→ 5x = 30

→ x = 30/5

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:

Step-by-step explanation:

x + y = 14 --> x = 14 - y

$0.10x + $0.25y = $2.00, or 10x + 25y = 200

- we can plug this value for x from the first equation into the second:

10(14 - y) + 25y = 200

140 - 10y + 25y = 200

140 + 15y = 200

15y = 60

y = 4 --> 4 quarters ($0.25 x 4 = $1.00)

if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)

matches the second equation where these add up to $2.00

Answer:

1 way is 10 dimes and 4 quartes

I can only come up with one way

Answer:

The answer is -19 because 127 - -6 will equal 133 and divided by -7 will equal the answer -19.

Answer:

-17.28

Step-by-step explanation:

-7x +6= 127

-7x = 127-6

-7x= 121

x= -17.28

Step-by-step explanation:

4x^2 + 15 = -9

4x^2 = -24

x^2 = -12

x = 2√3i

Answer:

area = 36 m^2

perimeter = 34m

Step-by-step explanation:

Area of a trapezoid is calculated by the following formula:

(a+b)/2 * h (a: base, b: base, h:height)

(6+12)/2 * 4 = 36 the area is 36 m^2

The perimeter is calculated by adding all side lengths or multiplying the sum of non-parallel sides by 2

Only the measure of AB=AC is missing to find it we can use the method in attached photo

and the perimeter is:

(12+5)*2 = 34

Answer:225

Step-by-step explanation:

we start by finding the area of the unshaded triangles and subtracting them from the total area of the box.

The total length of the top is 20 and the total length of the bottom side is 18

20-18=2 so the small unshaded part on the bottom side is 2. with this we can find the left triangle. triangle area is base times height over 2 so the area of the unshaded triangle on the left is 15*2/2=15.

We know the small unshaded bit on the right side is 6 as it is shown on the diagram. again, we can use base times height over 2 to get the area of the top unshaded triangle. 6*20/2= 60.

We can do base times height to find the total area of the rectangle

15*20=300

300-15-60=225

Answer:

infinite solutions

Step-by-step explanation:

y = 2x + 6

when x = 0,  y = (2 x 0) + 6 = 6  ⇒  (0, 6)

when y = 0,  0 = 2x + 6  ⇒  x = 3  ⇒ (3, 0)

Plot the two points and draw a line through them

3y = 6x + 18

divide everything by 3  ⇒  y = 2x + 6

Therefore, y = 2x + 6 equals 3y = 6x + 18

So the lines overlap (produce the same graph)

Therefore, the system will have infinite solutions

Answer:

y = −3

Step-by-step explanation:

Subtract 7 from 4.

y = 4  - 7 = -3

Hopefully this helps you!

In this exercise we have to use subtraction knowledge to calculate the final value of the equation, like this:

Letter C

It is a mathematical operation in which it is possible to find a quantity by decreasing one number by another, it is opposed to addition, being represented by the minus sign.

So make the calculus we have:

[tex]y=x-7\\x=4\\y=4-7\\y=-3[/tex]

See more about subtraction at brainly.com/question/4319655

Answer:

200

Step-by-step explanation:

Let the number = x

[tex]One-fifth \ of \ a \ number = \dfrac{1}{5}x\\\\\\5 \ more \ than \dfrac{1}{5}x =\dfrac{1}{5}x+5\\\\\\one-fourth \ of \ the \ same \ number = \dfrac{1}{4}x\\\\\\5 \ less \ than \dfrac{1}{4}x=\dfrac{1}{4}x-5\\\\\\\\\dfrac{1}{5}x+5=\dfrac{1}{4}x-5\\\\\\\dfrac{1}{5}x=\dfrac{1}{4}x-5-5\\\\\\\dfrac{1}{5}x-\dfrac{1}{4}x=-10\\\\\\\dfrac{4}{20}x-\dfrac{5}{20}x=-10\\\\\\\dfrac{-1}{20}x=-10\\\\\\x= -10*\dfrac{20}{(-1)}\\\\\\x=200[/tex]

Answer:

a = 12

b = 6

Step-by-step explanation:

You have a 30°-60°-90° triangle which is a special right triangle. We memorize the ratios of the sides and can find the sides given just one side, by using the relationships between the sides, so we don't have to use trig ratios.

Generally, the LONGEST side (hypotenuse) is twice the shortest side. Or, the SHORTEST side is half the longest side (hypotenuse). The LONGER LEG is the short leg × sqrt(3).

Or the SHORT LEG is the

longer leg/sqroot(3)

You are given the long leg here. You have:

Long leg = 6sqroot(3)

So the short leg must be 6.

bc, longer leg IS Short leg×sqroot(3)

short leg =6

Then the LONGEST side (hypotenuse) has to be twice that.

LONGEST side = 12

Where it says "Prove side c" maybe that is like doing a check.

6^2 + (6sqrt3)^2 = 12^2

36 + 108 = 144

144=144

CHECK!

Answer:

25% = 110

Therefore, 110 x 4 = 440 (100%)

Step-by-step explanation:

440 gumballs

1. The odd function is A

2. The answer is C

3.  The Answer is B

Please Mark Brainiest!

Answer:

-3 ≤ x ≤ 13

Step-by-step explanation:

Brainliest would be appreciated :)

Answer:24 degrees

Step-by-step explanation:

94+41 = 135 degrees

180 - 135 = 45 degrees

111 + 45 = 156 degrees

180 - 156 = x = 24 degrees

Hope I could help :)

Please Mark brainliest

Answer:

Step-by-step explanation:

One angle is shared and the sum of interior angles is 180:

Answer:

a) 82

b) 144

c) 75

d) 150

e) 241

f) 80

Step-by-step explanation:

There is a total of 360 degrees in a circle. To find the missing angles, you just have to add all of the other angles and subtract them from 360.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$600\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 600=5000(\frac{r}{100})(4)\implies \cfrac{600}{5000(4)}=\cfrac{r}{100}\implies \cfrac{3}{100}=\cfrac{r}{100}\implies \boxed{3=r}[/tex]

Answer:

- 46

Step-by-step explanation:

evaluate g(- 2) then substitute the result into f(x) , that is

g(- 2) = (- 2)² + 5 = 4 + 5 = 9 , then

f(9) = - 5(9) - 1 = - 45 - 1 = - 46