The table represents a function.
What is the value of f(-1)?
fa)
f(-1) = -3
-5
4
Of(-1) = -1
-1
f(-1) = 0
0
Of(-1) = 6
6
-1
9
-3

Answer:

[tex]1 \frac{1}{3}[/tex]

Step-by-step explanation:

rate of change = Δy / Δx = y2 - y1/x2 - x1

                                         = -3 - 5/-6 - 0

                                         = - 8/-6

                                         = 1 and 1/3rd

Answer:

49.5

Step-by-step explanation:

Answer:

I think the outliers are 2, 5, 6, and 6. Not sure about 8 though

Answer:

1) x = 4

2) a square root cannot be equal to a negative value

Step-by-step explanation:

1) add 1 to each side

2) square each side

(√2x + 1)² = 3²

2x + 1 = 9

2x = 8

x = 4

2) subtract 4 from each side

√2x + 1 ≠ -5

Answer:

90/9 = 10, the length of the pool.  This can be proven as 10 x 9 = 90²

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

5x+20=9x

20=9x-5x

20=4x

x=5

5x+20+9x=

5(5)+20+9(5)=

25+20+45=

90

Answer:

The correct answer is "995.22 turns".

Step-by-step explanation:

The given values are:

Magnetic field,

B = 0.50 T

Current,

i = 400 A

Length of solenoid,

L = 8.0 m

As we know,

⇒ [tex]B=\mu_0ni[/tex]

then,

⇒ [tex]n=\frac{B}{\mu_0i}[/tex]

On substituting the given values, we get

⇒    [tex]=\frac{0.50}{4 \pi\times 10^{-7}\times 400}[/tex]

⇒    [tex]=\frac{0.50}{5.024\times 10^{-4}}[/tex]

⇒    [tex]=995.22 \ turns[/tex]

Answer:

$4.09 for 4kg

Step-by-step explanation:

4.09/4 is less than 6.19/6

Answer:

4.09 for 4kg

it would be a better deal bc it will b 1.0225 for each and for 6 it would be 1.0316

Hope this helps

Answer:

[tex]a = -5[/tex]

Step-by-step explanation:

Given

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Required

Solve for a

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Add 6 to both sides

[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]

[tex]\sqrt{9 - 8a} = 7[/tex]

Square both sides

[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]

[tex]9 - 8a = 49[/tex]

Subtract 9 from both sides

[tex]9-9 - 8a = 49-9[/tex]

[tex]- 8a = 40[/tex]

Make a the subject

[tex]a = -\frac{40}{8}[/tex]

[tex]a = -5[/tex]

Answer:

Maximum value equals 1/2

Minimum value equals -1/2

Step-by-step explanation:

The Sin Function when Graphed Shows a Range of [-1 , 1]

apply that on y=1/2 sin2x

y = 1/2 * 1 = 1

y = 1/2 * -1 = -1

so y = 1/2 , -1/2 .

dy/dx = 2 * 1/2 * cos2x

put dy/dx=0

cos2x=0

x= 45, x=135

Apply x values on y=1/2 sin2x

y = 1/2 , -1/2 .

Hope you understand it ^^.

Answer: A

Step-by-step explanation:

4%es la tasa de aumento

Answer:

36/5

Step-by-step explanation:

Did it in my head, hopefully its correct

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

Answer:

4, 5, 6, 7

Step-by-step explanation:

Answer:

a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\

Step-by-step explanation:

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

Answer:

go by basics u will get it easier

Step-by-step explanation:

assume X2 + e3x as some function t

now find derivative you get (1/t )dt/dx

now find dt /dx. simply derivative with respect to x

for second question use formula

dy/dx = - partial derivative of function with x / partial derivative of function with respect to y

Answer:

D) [tex](x-4.5 )^{2} =16.25[/tex]

Step-by-step explanation:

Explanation

Given that the equation

   x² - 9 x +11 =7

 [tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]

[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

By using (a-b)² = a²-2ab+b²

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]

[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]

[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]

[tex](x-4.5 )^{2} -16.25 =0[/tex]

Final answer:-

[tex](x-4.5 )^{2} =16.25[/tex]

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

Answer:18

Step-by-step explanation:

Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.

Taking a look at the examples again,

Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1

Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3

Answer:

S₇ = 672

Step-by-step explanation:

If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:

Smallest number = 99-6 = 93

The sequence is 93, 94, 95, 96, 97, 98, 99.

Where:

a₁ = 93

an = 99

n = 7

Sum of the sequence:

Sn = n/2(a₁ + an)

S₇ = 7/2 (93 + 99)

S₇ = 7/2 (192)

S₇ = 7(96)

S₇ = 672

Answer:

1/25 or 2/5 i guess

Step-by-step explanation:

Answer:

A) 3/100

Step-by-step explanation:

3/10x1/10=3/100

Answer:

Step-by-step explanation:

current rate = $729/(45 hours) = $16.20/hour

increased salary = 1.10×$729 = $801.90

decreased hours = 0.90×45 = 40.5

increased rate = $801.90/(40.5 hours) = $19.80/hour

increase in rate = $19.80/hour - $16.20/hour = $3.60/hour

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

Answer:

Step-by-step explanation:

The two shadows are parallel lines and are part of similar triangles formed.

Corresponding sides of similar triangles have same ratio. Let the length of the flagpole be x.

Then we have ratios:

Answer:

2.3 x 10^11

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hope this helps and have a great day!!!!!