Help and explain !!!!!

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

[tex]x \to -1,0,1[/tex]

[tex]f(x) \to -5,-1,3[/tex]

[tex]g(x) = 4x + 3[/tex]

Solving (a): Compare the slopes

Slope (m) is calculated as:

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

So, for f(x), we have:

[tex]m =\frac{-1- 0}{-5- -1}[/tex]

[tex]m =\frac{-1}{-4}[/tex]

[tex]m =\frac{1}{4}[/tex]

For g(x), we have:

Assume [tex]g(x) = mx + c[/tex] then the slope is m

Compare the above to [tex]g(x) = 4x + 3[/tex]

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set [tex]x= 0[/tex]

From the table of f(x)

[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]

From [tex]g(x) = 4x + 3[/tex]

[tex]g(0) = 4 * 0 + 3[/tex]

[tex]g(0) = 3[/tex]

Hence:

g(x) has a greater y intercept

Answer:

$2.96

Step-by-step explanation:

Here, we want to get the expected value

To get the expected value, we have to multiply each payout by its corresponding probability and add up for all

So what this mean is that the expected value is the summation of the products of each pay out and their probability

We have the expected value calculated as;

0(0.12) + 1(0.2) + 2(0.38) + 5(0.2) + 10(0.1)

= 0 + 0.2 + 0.76 + 1 + 1 = $2.96

Answer:

a. ALL

Step-by-step explanation:

for a relation to be a function it must have exact one output for an input. since all tables have one output for a given input all are functions.

Answer:

36/5

Step-by-step explanation:

9/4×16/5

144/20

36/5

hope this is helpful

Answer:

[tex]7\frac{1}{5}[/tex]

Step-by-step explanation:

1. start by turning the fractions improper fractions:

[tex]2\frac{1}{4} =\frac{9}{4}[/tex]

[tex]3\frac{1}{5} =\frac{16}{5}[/tex]

2. then multiply them together:

[tex]\frac{9}{4}[/tex] x [tex]\frac{16}{5}[/tex] = [tex]\frac{144}{20}[/tex]

3. then simplify the fraction:

[tex]\frac{144}{20}[/tex][tex]=\frac{36}{5}[/tex]

4. turn it into a proper fraction:

[tex]\frac{36}{5} =7\frac{1}{5}[/tex]

Answer:

810

Step-by-step explanation:

(-5)×(-6) = 30

9*3 = 27

27*30 = 810

Answer:

x=-3 and y=-2

Step-by-step explanation:

let the numbers be x and y

x+y=-5

x-y=-1

therefore x=-5-y

-5-y-y=-1

-2y=-1+5

-2y=4

y=-2

×=-5-(-2)

x=-5+2

x=-3

Answer: -2 and -3

Step-by-step explanation:

x + y = -5

x - y = -1 -> x = y - 1

(y - 1) + y = -5

y - 1 + y = -5

2y = 1 - 5

2y = -4

y = -2

x = y - 1 = -2 - 1 = -3

Answer: 1/8

Step-by-step explanation:

Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.

Answer:

A.

Step-by-step explanation:

C and D do not create any x² terms when doing the multiplications. so, they are out.

B stands for (a+b)×(a-b) = a² - b².

so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.

that leaves us with A.

let's verify :

(4x+2i)(4x-2i)

it follows the same rule as B :

(a+b)(a-b) = a² - b²

a = 4x

b = 2i

you remember, i = sqrt(-1).

so, we get

(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4

bingo !

Answer:

Step-by-step explanation:

the answer is A

Answer:

56

Step-by-step explanation:

Answer:

(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili

Answer:

5438.5

Step-by-step explanation:

To complete this equation, we must use the order of operations also known as PEMDAS.

For the case of this problem, we start by multiplying or dividing numbers before adding or subtracting numbers.

First let's start on the left:

100 x 54 + 77 ÷ 2

5,400 + 77 ÷ 2

5,400 + 38.5

5438.5

I hope this helps! Just remember to always add or subtract number last and start on the left, so that you don't get confused.

Answer:

So 2,738.5

Step-by-step explanation:

100×54 equals

— 5,400

5,400+77 equals

—5,477

5,477÷2 equals

—2,738.5

The answer is 2,738,5

Answer:

-12/7

Step-by-step explanation:

[tex] \frac{ - 5}{7} - \frac{7}{7} [/tex]

[tex] \frac{ - 5 - 7}{7} [/tex]

[tex] \frac{ - 12}{7} [/tex]

Third option is the answer.

Note: Consider the given figure attached with this question.

Given:

The expression is:

[tex]2^5\times 2^4[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]2^5\times 2^4[/tex]

It can be written as:

[tex]2^5\times 2^4=2^{5+4}[/tex]

[tex]2^5\times 2^4=2^{9}[/tex]

So, option A is correct and option B is incorrect.

Similarly, in options C, D, E,

[tex]2\cdot 2^9=2^{10}[/tex]

[tex]2^{10}\cdot 2^2=2^{12}[/tex]

[tex]2^{-2}\cdot 2^{11}=2^{9}[/tex]

So, options C and D are incorrect but option E is correct.

The given expression can be written as:

[tex](2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)[/tex]

So, option F is correct.

Therefore, the correct options are A, E F.

Answer:

C. 162 m2

Step-by-step explanation:

Surface Area

= 2(11×2) + 2(8×2) + 2(10 + 33)

= 44 + 32 + 86

= 162

Hence C

Answer: C, 162

Step-by-step explanation: I did it

Answer:

The answer is B

B) x>3

Answer:

16

Step-by-step explanation:

Number of attires Clara has initially = x

lends half her collection of formal attires to her sister

Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister

= x - 1/2x

= 1/2x

Clara then buys four more attires

= 1/2x + 4

If she has 12 attires now

12 = 1/2x + 4

12 - 4 = 1/2x

8 = 1/2x

x = 8 ÷ 1/2

= 8 × 2/1

= 16

x = 16

Number of attires Clara has initially = x = 16

Answer: 36, 37, 38

Step-by-step explanation:

x + (x + 1) + (x - 1) = 111

x + x + 1 + x - 1 = 111

3x = 111

x = 37

[tex]\bold{{Answer}}[/tex]

B.2.And30

What is the means of a proportion?

1 : harmonious relation of parts to each other or to the whole : balance, symmetry. 2a : proper or equal share each did her proportion of the work. b : quota, percentage. 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : ratio.

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

please correct me if im wrong

Answer:

D

Step-by-step explanation:

Given the proportion

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex]

Then a and d are the extremes of the proportion

and b, c are the means of the proportion

Then for

[tex]\frac{2}{3}[/tex] = [tex]\frac{20}{30}[/tex]

3 and 20 are the means → D

Answer:

AG = 18

Step-by-step explanation:

The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.

Lets make x represent AG.

So, 2/3 of x is 12

or

[tex]\frac{2}{3}[/tex]x = 12

Multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] , which is [tex]\frac{3}{2}[/tex].

( [tex]\frac{3}{2}[/tex]) [tex]\frac{2}{3}[/tex]x = 12 ([tex]\frac{3}{2}[/tex])  (x is left alone, the fractions = 1 when multiplied)

x = 12 ([tex]\frac{3}{2}[/tex])         ( 12 times 3 = 36, divided by 2 = 18)    

x = 18

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

Answer:

Below.

Step-by-step explanation:

Ok so, Since its 510 - x = 410. Speeds equals the wind.

SO?

100=2x

x=50

410+50 = 460!

Answer:

5

Step-by-step explanation:

xy= 6

x= 2

x + y = ?

Plug in x=2 in the first equation:

2y=6

y=3

then plug x=2 and y=3 into the one you're solving for:

2+3=5

Hope that helps!

Answer:

Step-by-step explanation:

5.2*9= 46.8

Do you want to know how to find the answer? :/

Answer:

7.1

Step-by-step explanation:

We used SOHCAHTOA because it's a right angle triangle

So because we have an angle with an adjacent of 6.3 and hypotenuse of x

We will use

Cos=adjacent /hypotenuse

Answer:

E

Step-by-step explanation:

He makes 30 per hour with the 20 extra therefore f(x)=30x+20

Hello,

[tex]f^{-1}(-3)=-1\\[/tex]

You have just to read the arrows un reversed order:

in f we find (-1,-3)  so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

Answer:

D.

Step-by-step explanation:

She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.

Answer: D.

Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

Answer:

Quadratic.

Step-by-step explanation:

Both linear and exponential equations are monotone increasing or monotone decreasing functions.

This means that, as the input increases, the output will only increase or only decrease, but never both.

Here for our data, we can see that first we have:

x = -8

y = 13

Then x increases to x = -6, and y decreases to y = 9

Then x increases to x = -4 and y increases to y = 13

Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.

Then the correct option is quadratic.