What is the length of segment AB?

A. 5
B. 6
C. 8
D. 10

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

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2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

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3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

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4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

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5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

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6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

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7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

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8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

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9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

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10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

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Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

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Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Answer:

28

Step-by-step explanation:

The total amount of cows is 48 and is split into 12 groups (7+5).

So 1 group is 48÷12=4

1 group=4

He owns 7 groups of Holstein cows.

So if 1 group is 4, 7 groups is 7x4=28.

28

The number of Holstein cows, if The ratio of Holstein and jersey cows is 7:5, and the Total number of cows is  48, is 28.

It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3. If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios.

Given:

The ratio of Holstein and jersey cows is 7:5,

Total number of cows = 48

Calculate the values as shown below,

Assume the number of Holstein cows is 7x

7x + 5x = 48

12x = 48

x = 4

Thus, the number of Holstein cows is 7 × 4 = 28

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Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

[tex]\boxed{\sf \dfrac{d}{dx}x^n=nx^{n-1}}[/tex]

[tex]\boxed{\sf \dfrac{d}{dx}sinx=cosx}[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{d}{dx}(x+1)sinx[/tex]

[tex]\\ \sf\longmapsto 1+cosx[/tex]

sin x + x · cos x + cos x

Step-by-step explanation:

f(x) = u · v → f'(x) = u' · v + u · v'

f(x) = (x + 1) sin x

f'(x) = 1 · sin x + (x + 1) · cos x

f'(x) = sin x + x · cos x + cos x

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

Answer:

5$ for a stamp

Step-by-step explanation: First calculate the TOTAL amount of money spent on the food tickets. 4 friends, 3$ each for a ticket = 12$. Total cost is 32$ so do 32$-12$ to find how much else you paid after the 12$ on food ticket which is 20$. Divide the reamaining money (20$) by 4 because of the four friends. Than there is the price for the unlimited ride stamp 5$. Think of it like this. x+12=32.    x=20,         x/4=20/4     x=5$. Let me know if im wrong

Answer:

1.5

Step-by-step explanation:

To find the employee's regular earnings, multiply their regular pay rate ($12) by 40 hours. Next, calculate the employee's time and a half pay rate. Multiply 1.5 by the employee's regular rate of pay.

Answer:

480 would be your answer

Step-by-step explanation:

Answer:

522.87

Step-by-step explanation:

15*40=600

22.5*10=225

825*24.5%=202.13

825-100-202.13=522.87

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

Answer:

$12,088.55

Step-by-step explanation:

$8000(1+(0.07/2))^(2*6)

$8000(1.035)^(2*6)

$8000(1.51106865)

$12088.5492 - exact

$12088.55 - real

The attached picture is the answer. Hope it helps!!!

Answer:

A one real root

Step-by-step explanation:

if not I'm sorry if I get it wrong

Answer: not much help i can barley see the paper

Step-by-step explanation:

Answer:

19 Your welcome have a good day

Answer:

(y-3)²= -32x

Step-by-step explanation:

1) the required equation has a form: (y-y₀)²=-2p(x-x₀), where (x₀;y₀) - vertex (0;3), p - parameter of the given parabola;

x₀=0; y₀=3.

2) according to the conditiion F(-8;3)=F(x₀+p/2; y₀), it means (x₀+p/2; y₀)=(p/2;3), then p/2= -8; ⇒ p= -16.

3) finally, p= -16; x₀=0; y₀=3, then it is possible to make up the required equation:

(y-3)²= -32x.

PS/ if it is possible check the suggested solution in other sources.

Answer:

I have 1000$ i wanna buy it

Step-by-step explanation:

Answer is 2.1 kg and 2.9 kg.

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Given that,

Amount of cheese = $8 per kg

Amount of kiwis = $ 3 per kg

Assume

X = quantity of chees

Y = quantity of kiwi

According to the given information,

X + Y = 5  ...(i)

8X + 3Y = (5)4.50    ....(ii)

From (ii) = 3x(i),

5x = 10.5

 x = 2.1 kg

Now put the value of x into (i),

y = 2.9 kg

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Answer:

8/t + t^2 = 18

Step-by-step explanation:

8/t + t^2

t = 4

8/4 + 4^2

2 + 16 = 18

8/t + t^2 = 18

Answer:

-4p-16

Step-by-step explanation:

Answer:

x=10 since 8x+10 and 6x+30 are equal just equate

Answer:

Volume of the prism =area of base*height

=[3*3+3*6]*9

=243 cm³

Alternate

Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³

Answer: The graph is attached.

I suggest you use Desmos Graphing Calculator it helps me out so much!

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

Answer:

yes your correct

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  {x | x < 1}

Step-by-step explanation:

Given ...

  3x < 3

You can find the solution by dividing both sides by 3:

  (3x)/3 < 3/3

  x < 1

Written in your given notation, this is ...

  {x | x < 1}

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

Answer:

hope i helped...if anythng not understood please write in the comments

Answer:25

Step-by-step explanation:

350 / 14 =25