In the diagram below, determine the value of $x$: [asy] size(6.5cm); pair cis(real magni, real argu) { return (magni*cos(argu*pi/180),magni*sin(argu*pi/180)); } draw(cis(1.5,15)--cis(-1,15)--cis(-1,15)+cis(2.5,-15)); draw(cis(-1,60)--cis(1,60)--cis(1,60)+cis(2.2,-75)); label("$30^\circ$",cis(-1,15)+(0.2,0),E); label("$45^\circ$",cis(1,60)+(-0.05,-0.2),S); label("$130^\circ$",(-0.03,0.03),SE); label("$x^\circ$",(0.8,-0.64)); [/asy]

Answer:-8

Step-by-step explanation:

The data represent a linear function because there is a common difference of -9.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.

From the table, we have the following highlight :-

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

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Answer:

x=1/4

Step-by-step explanation:

-7-4x+10=2

-7+10-2=4x

1=4x

x=1/4

Answer:

2/10 or 20%

Step-by-step explanation:

Because 4 and 8 are the only numbers 1-10 that are divisible by four.

This would give Amy a 2/10 chance of rolling a number divisible by 4.

To turn 2/10 into a percent, the denominator has to be 100 so if you multiply 10 by 10 you will get 100, you will also have to multiply 2 by 10 to get 20 and you will get 20/100

20/100 is equal to 20%

Therefore your answer would be 2/10 or 20%

Hope this helps

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Answer:

Slope is 4. Use the slope formula to solve it.

Answer:

Slope (m) =  

ΔY

ΔX

=  

4

1

= 4

Step-by-step explanation:

Answer:

order of operation

first subtract 4 from both sides

then it is 6d=30

then divide by 6 and your answer if 5

ANSWER=5

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Step-by-step explanation:

Answer:

4 + 6d = 34

6d = 34 - 4

6d = 30

d = 30 : 6

d = 5

...................

Answer:

This question makes no sense please fix it

Step-by-step explanation:

Answer:

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: ... System of difference equations

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Given:

The graph of an invertible function [tex]f[/tex] is given.

To find:

The value of [tex]f^{-1}(-3)[/tex].

Solution:

We know that, if the graph of an invertible function [tex]f[/tex] passes through the point (a,b), then the inverse function [tex]f^{-1}[/tex] passes through the point (b,a).

From the given graph it is clear that the graph of the function [tex]f[/tex] passes through the points [tex](-5,-3)[/tex].

So, the inverse function [tex]f^{-1}[/tex] must be passes through the point [tex](-3,-5)[/tex].

Therefore, the value of inverse function is [tex]-5[/tex] at [tex]x=-3[/tex]. So, the value of [tex]f^{-1}(-3)[/tex] is [tex]-5[/tex].

Answer: -5

Step-by-step explanation:

khan academy

Answer:a)757liters

b)1, 713 litres

Step-by-step explanation:

Amount of water used on Monday =1,235l

Amount of water used on Tuesday =478liters

Difference in volumes for the two days

=1,235l -478l

=757liters.

Total amount of water used up in Total

1,235litres +478liters

=. 1, 713 litres.

Answer:

1) -20.5

-8

4.5

13

2) 9

4

-1

-6

3) 2

4

6

8

Step-by-step explanation:

plug in the x values, then use pemdas

Answer:

70.3km

Step-by-step explanation:

When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x

i.e 117-41 = 76

Using cosine rule,

YZ²= 43² + 67² - 2 x 43 x 67

cos76

YZ= √4944

= 70.3

Answer: -9 and 7

Step-by-step explanation: [tex]-9x7=63[/tex] and [tex]-9+7=-2[/tex]

6 is correct for this questions answer

Answer:

the initial amount of investment is 1000$, it grows at a rate of 1.1%, and the value after 10 years is 2853.12.

Step-by-step explanation:

i hope this helps!

Answer:

54 kg

Step-by-step explanation:

Total weight of 7 boys is 392 kg. And other 6 boys total weight is 338 kg.

So the 7th boy's weight is (392-338)=54 kg

Answer:

54

Step-by-step explanation:

338÷6=56.33

so it means that 7th boy is less than 56

338+54=392

392÷7=56

No, {2,3} everything else es equal except for.

Answer:

Step-by-step explanation:

ajeroeriwrawr

Answer:

-4(x-1)

Step-by-step explanation:

factor out-4 from expression

Answer:

Step-by-step explanation:

1. not factorable

5. not factorable

6. -(6n^4 + 2n -1)

Answer:

The first one is 7.8

The second one is 3.3 x 10^3

The third one is 2.1 x 10^-3

The fourth one is 3.7

Hope that helps! :)

Step-by-step explanation:

The tiles are matched for the exponential equations as:

a) ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ ) = 7.8

b) ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ ) = 3.3 x 10³

c) 2.1 x 10⁻³

d) 3.7

Given data:

The exponential equation is represented as A

Now, the value of A is

From the laws of exponents , mᵃ×mᵇ = mᵃ⁺ᵇ

a)

A = ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ )

So, on simplifying the equation:

A = ( 8.6 x 9.1 ) x ( 10⁷⁻⁸ )

A = 78.26 x 10⁻¹

A ≈ 7.8

b)

A = ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ )

So, on simplifying the equation:

A = ( 6.9 x 4.8 ) x ( 10⁵⁻³ )

A = 33.12 x 10²

A ≈ 3.3 x 10³

c)

[tex]A=\frac{(3.7*10^{2})*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})}[/tex]

On simplifying:

A = ( 17.02 / 7.98 ) x 10⁻³

So, A ≈ 2.1 x 10⁻³

d)

[tex]A=\frac{(3.1*10^{5})*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}[/tex]

On simplifying:

A = ( 16.43 / 44.53 ) x 10

A ≈ 3.7

Hence , the exponential equations are solved.

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Answer:

41.2 inches tall

Step-by-step explanation:

53.56 / 1.3 = 41.2

Step-by-step explanation:

Let Raj's sister's height be x

53.56= 1.3x

= 53.56/1.3=x

= 41.2=x

Answer:

MP =8

Step-by-step explanation:

QR = 1/2 MP

76 -8x = 1/2 (89 - 9x)             Multiply both sides by 2

152 - 16x = 89 - 9x                Subtract 89 from both sides

152-89 - 16x = - 9x                Add 16x to both sides.

63 - 16x +16x = 16x  - 9x

63 =7x                                  Divide by 7

x = 63/7

x = 9

MP = 89 - 9*9

MP = 8

Answer:

D) 1.9 meters

Step-by-step explanation:

a= -1.6, b=3.3, c=0.2

vertex is (1, 1.9)

Answer:

Dawson runs 3.168 more miles than jay.

Step-by-step explanation:

Simple 1 step.

1. Subtract Dawson's miles ran ( 9 miles ) by Jay's ( 5.832 ) which would lead to getting the answer of 3.168.

Hope this helped.

Answer:Do rise over run, maybe watch a tutorial on it, pretty simple method

Answer:

there are only three simple steps (:

Step-by-step explanation:

1. identify the two points on the line

2. select one to be (x1, y,1) (rise over run) and the other to be (x2, y2)

3. use slope equation to calculate your slope (m=rise/run= y2-y2/x2-x1)

in the equation of a straight line (equation written y=mx+b) the slope is m and b is the y intercept. (where the line crosses the y axis) this is the slope intercept form)

Answer:

Use symbolab

Step-by-step explanation: