Solve the Simultaneous Equations: a - b = 3​

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

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Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]32398=\frac{4}{3} \pi r^3[/tex]

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]

We can get rid of the exponent by square rooting by 3.

[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

p = 2

q = 7

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

The two numbers are,

⇒ p = 13 and q = 2

What are Prime numbers?

Prime number is a whole number greater than 1 whose only factors are 1 and itself.

Here, p and q are both prime numbers and each less than 22.

Now, Both number p and q are prime numbers.

Let p = 13 and q = 2

Clearly, The number 13 and 2 both are prime numbers and less than 22.

Hence, p + q = 13 + 2 = 15

Since, 15 is an odd number but not prime.

So, The two numbers are,

p = 13 and q = 2

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Answer:

-3/4

Step-by-step explanation:

change them to improper fractions

-5/2 - (-7/4)

now multiply -5/2 by two so the denominators are the same

-10/4 - (-7/4)

subtracting a negative number is the same as adding a positive number

-10/4 + 7/4

= -3/4

Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.

Step-by-step explanation:

Answer:

(3x6) / 6 is the correct answer

Answer:

Thus 3 is the answer to the question

Answer: A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have 2pi = 360°

=> 2pi× 330/360 = 360° × 330/360

=> 11pi/6 = 330°.

Please keep asking if you still have trouble understanding

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

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Answer:

drip

Step-by-step explanation:

Answer:

3.12

Step-by-step explanation:

if you are in an algebra class write the let statements x = number of pendants

25x = 78 (divide by 25 on both sides)

x = 3.12

if you are not in an algebra class then just divide 78 by 25

Answer:

Blue area ~ 25π

Blue circumference ~ 10π

Pink area ~ 36π

Pink circumference ~ 12π

Grid area ~ 9 π

Grid Circumference ~ 6π

Red area ~ 49 π

Red Circumference ~ 14 π

Step-by-step explanation:

have a good day!! :)

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

Answer:

The polynomial equation to give the difference in profit D after x years is:

Step-by-step explanation:

To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:

And we operate:

We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:

Now, we subtract the two values:

At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):

As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.

Answer:

D=0.5x+2

$7000000

Step-by-step explanation:

Answer:

F= -2.5

Step-by-step explanation:

divide both sides by two in order to isolate f.

by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f

then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5

The value of f in the equation is -10.

'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'

According to the given problem,

First we need to isolate the variable f:

⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]

Now, transposing 9 to the right hand side,

⇒ [tex]\frac{f}{2}[/tex] = 4 - 9

⇒ [tex]\frac{f}{2} = -5[/tex]

⇒ f= ( -5 * 2 )

⇒ f= -10

Hence, the required value of the variable f is -10.

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Answer:

Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.

Step-by-step explanation:

f(3) = 16

f(4) = 21

f(5) = 26

f(8) = 41

Please do mark as brainliest. Hope this helps! :)

Answer:

depends on the cases. they all have different uses

Answer:

hello it is Alana btw i dk if u remember me tho, but if you do imma get my phone back in august and my old acc got deleted so yeah

Step-by-step explanation:

Answer:

V≈83.14

AL=96

Surface A≈116.78

Base A≈10.39

Step-by-step explanation:

Step-by-step explanation:

base area of hexagonal prism =

6× ½×(2)(2)× sin 60° (regular prism)

= 12×½√3 = 6√3 sq. inches

Volume = base are x height

= 6√3 x 8 = 48√3 cu. inches

or 83.14 cu. inches

the lateral area = 6 × (2×8) = 96 sq. inches

total area = 2×(6√3) + 96

= (12√3 + 96) sq. inches

or 116.78 sq. inches

Answer:

Hello! Your answer would be, C)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

Answer:

the third one.........

[-2,0] and (7,oo)

It is the only one that matches

HOPE This helps!

The solution of the expression is,

⇒ x = - 160

An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

Given that;

The expression is,

⇒ log₄ (- 4x)  - log₄ 10 = 3

Now,

We can solve as;

⇒ log₄ (- 4x)  - log₄ 10 = 3

⇒ log₄ (- 4x/ 10) = 3

⇒ - 4x/10 = 4³

⇒ - 4x / 10 = 64

⇒ - 4x = 640

⇒ x = - 160

Thus, The solution of the expression is,

⇒ x = - 160

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Step-by-step explanation:

a geometric sequence means every new element is created by multiplying the previous element always with the same number.

a n = a n-1 * number

a n = a1 * number^(n-1)

=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)

=> 32/1 = number^5

=>

[tex]number = \sqrt[5]{32} [/tex]

number = 2

and what is the starting a1 ?

it must satisfy e.g. a3

1 = a1 * 2^2

=> a1 = 1/4

therefore, the requested definition looks like

g(1) = 1/4

g(n) = g(n-1) * 2

Answer:

Hello!

Question 1: What is an earthquake? Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.

Question 2: What are faults? Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.

Question 3: Why are earthquakes more likely to occur near faults? Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.

Question 4: What happens when the plates grind against each other? Answer: An earthquake is caused by the movement of Earth's crustal plates grinding against one another.

Question 5: Is it true that when vibrations reach earth surface as earthquakes occur? Answer: Yes! It's true that it vibrates near the earth surface!

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

11

Step-by-step explanation:

so basically u just square root 121 which give u 11

[tex] \sqrt{121} = 11[/tex]

Answer:

B. 9.3 x 10^7

Step-by-step explanation:

9.<3<0<0<0<0<0<0.

Move the decimal point until there is only one whole number left.

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

Answer:

Solution given:

x+x+10°+40°+2x+10=360[complete turn]

4x+60°=360

4x=360-60

x=300/4=75

now

2x+10=2×75+10=160° is your answer

Answer:

75.8º

Step-by-step explanation:

The sum of complimentary angles is 90º

c + 14.2 = 90

Subtract 14.2 from both sides

c = 90 - 14.2

c = 75.8º