If f(x) = -3x + 1, find x if f(x) = -3.​

Greetings from Brasil...

Here we have supplementary angles, that is, the sum of both results in 180. Therefore,

A + B = 180 ⇔ ∠1 + ∠2 = 180

∠1 + ∠2 = 180     by defining supplementary angles

143 + ∠2 = 180

∠2 = 180 - 143

Answer:

2(5a+2w+2+6x+3w

Explanation:

Given the below expression;

Let's go ahead and expand each of the given expressions in the options and see which of them is equivalent to the given expression and the one that's not.

Expanding the 1st expression, we'll have;

We can see that the 1st option is equivalent.

Expanding the 2nd expression, we'll have;

We can also see that the 2nd option too is equivalent.

Expanding the 3rd expression, we'll have;

We can also see that the 3rd option too is equivalent.

Expanding the 4th expression, we'll have;

We can see that this is the correct option because it is not equivalent to the given expression.

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

A partir del problemas vamos a crear una ecuación donde X es una docena de huevos y Y una libra de mantequilla

entonces: 4 docenas de huevos y 3 libras de mantequilla es igual a 14.100

en mi primera ecuación seria: 4X + 3Y = 14.100

ahora haremos la segunda ecuacion: tres docenas y 1 libra de mantequilla

en mi segunda ecuación seria: 3X + 1Y = 8.700 el plan es sumar las dos ecuaciones pero yo quiero que al sumarlas la variable "Y" desaparezca así que mi segunda ecuación la voy a multiplicar pór (-3) quedándome todo así:

primera ecuación: 4X + 3Y = 14.100

segunda ecuacion multiplicada por -3: -9X - 3Y = -26.1

al sumarlas obtengo como resultado: -5X = -12

resolviendo esa ecuacion obtengo que X=  

X=2.4

luego reemplazas X en la primera ecuación: 4X + 3Y = 14.100

reemplazando seria: 4 x (2.4) + 3Y =14.100

9.6 + 3Y = 14.1000

3Y= 14.100 - 9.6

Y=  

Y=1.5

entonces concluimos que la docena de huevos cuesta 2.4 $ y la libra de mantequilla 1.5 $

Step-by-step explanation:

Answer:

f(3) = -11

Step-by-step explanation:

plug in 3 for x

f(3) = -4(3) +1

f(3) = -12 +1

f(3) = -11

Therefore, the missing side of the triangle is 5.

To determine the missing side of a triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, if one side of the triangle is 12 and the other side is 13, we can label the missing side as x. Using the Pythagorean theorem, we have:

\(x² = 13² - 12²

x² = 169 - 144

x² = 25\)

Taking the square root of both sides, we find:

\(x = √25

x = 5\)

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Answer:

This is your answer ☺️☺️☺️

Answer:

4

Step-by-step explanation:

2300+4 = (48)^2

it's  a perfect square now

hope it helps

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the area of circle using the formula :

A = π × r²

A = π × 3²

A = 9π

Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :

A = (θ/360) × π × r²

A = (60/360) × π × 3²

A = 1.5π

Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :

A = (9π × 2) - (1.5π × 2)

A = 18π - 3π

A = 15π

Answer:

1)  30 in.

A= wl

A=3·10

A=30

2) 30 in.

A=bh

A=10·3

A=30

3) 30 in.

A=hb/2

2=6·10/2

2=30

The two lines have the same slope and different y-intercepts, thus, the lines are parallel.

Here we want to find the relation between the two lines:

8x = 3y + 3

-24x + 9y = 3

First, we need to write these two as lines in the slope-intercept form. We will get:

3y = 8x - 3

y = (8/3)*x - 3/3

y = (8/3)*x - 1

And the other one:

9y = 3 + 24x

y = (3/9) + (24/9)*x

y = (1/3) + (8/3)*x

So, we can see that both lines have the same slope (and different y-intercept), thus, the lines are parallel lines.

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Answer:

c = 26 cm

Step-by-step explanation:

using the Pythagorean theorem:

10² + 24² = c²

c² = 100 + 576  = 676

c = 26 cm

Answer:

Right angle triangle

Step-by-step explanation:

If any one angle of a triangle is 90, then it is a right angle triangle

Answer

m=8 and b=-25

step by step

Answer: I think it's either C or A but, my gut is saying A :)

The negation of a statement s is called "not s." Hence, the statement "not s" is the negation of s.

The statement "not s" is called the negation of s, and it represents the opposite meaning of the original statement s. If s is true, then "not s" is false, and if s is false, then "not s" is true.

The negation of a statement is an important concept in logic, and it is used to prove or disprove the original statement by contradiction. By assuming the negation of the statement, we can try to show that it leads to a contradiction or an absurdity, which would imply that the original statement must be true.

In mathematics and other fields, the ability to negate a statement is a crucial tool for constructing proofs and solving problems.

The use of negation allows us to reason about the relationships between different statements and to establish the validity of arguments and claims.

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Answer:

A. 360 m ^2

B. 4021.2386 cm ^3

Step-by-step explanation:

A. V = w X h X l = 8 X 9 X 5 = 360 m ^3

B. V = πr2h = π·82·20 = 4021.2386 cm ^3

I hope that helps!! XD

Answer:

12

Step-by-step explanation:

So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12

hope this helps:)

The slope of the line in the simplest form is 1 / 2.

The slope of a line is the change in the dependent variable with respect to the change in the independent variable.

The slope is rise over run.

The slope of the line can be found as follows:

m = slope = y₂ - y₁ / x₂ - x₁

Therefore, using (7, 0) and (3, -2)

Hence,

x₁ = 7

x₂ = 3

y₁ = 0

y₂ = -2

Therefore,

slope = - 2 - 0 / 3 - 7

slope = - 2 / -4

slope = 1 / 2

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Answer:

10:24

Step-by-step explanation:

if school starts at 7:15 and you stay in the first 4 periods for 47 minutes each, that totals 3 hours, 8 minutes

7:16 + 3 hrs, 8 min = 10:24

The next step of marshall should be divide both sides of the equation by 5.

Given:

Marshall is writing an equivalent equation to solve for x. what should be his next step.

5 + 4 y = 8.

5+4y-4y = 8-4y

5x = 8 - 4y

To solve for x:

The correct step is:

divide by 5 on both sides

5x/5 = 8-4y / 5

x = 8/5 - 4y/5

x = 1/5(8-4y).

Therefore The next step of marshall should be divide both sides of the equation by 5.

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Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

letter D.

Step-by-step explanation:

im not sure but I try it

The limit - A. lim 3x = 21, x → 7. The correct choice is A.

The limit of 3x as x approaches 7 can be evaluated by substituting the value 7 into the expression 3x:

lim 3x = 3(7) = 21.

x → 7

Therefore, the correct choice is:

A. lim 3x = 21.

x → 7

To elaborate further, when we evaluate the limit of 3x as x approaches 7, we substitute the value of 7 into the expression 3x. This gives us:

lim (3x) = 3(7) = 21

This means that as x gets arbitrarily close to 7 (but not equal to 7), the value of 3x approaches 21. In other words, as we consider x values approaching 7 from both the left and the right sides, the corresponding values of 3x approach 21.

Therefore, the limit exists and we can determine its value (which is 21), we can conclude that the limit of 3x as x approaches 7 is indeed 21 (Choice A).

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Answer:

the woodpecker was 7m above the ground

The height where the bird pecked is 7m above the ground.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.

Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,

= (17 - 10)m.

= 7m.

So, The bird pecked away where the pole had cracked is 7m.

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Answer:

3034 I think

Step-by-step explanation:

3034 I think because if u multiply 3700 times 0.82 give you 3034

The percentage of  Exponentially  growing rate is 3034.

The Exponential function is used to represent the number of users on the website after "t" years, f( t ) = (2.27).γ^t/t!.

Exponential function in a Mathematics is a relation of the form y = aˣ, with the independent variable "x" ranging over the entire Real Number line as Exponent of a positive number "a".

The number of users on a website is (n) = 3700

Growing Exponentially at the rate of 82% per year

Exponential Function to represent the number of users on the website after t years and also percentage rate of change per month.

(1)Exponential Function to represent the number of users on the website after t years.

we have that, the number of users on a website is (n) = 3700

Growing exponentially at the rate of  82% per year.

λ = \(\frac{82}{100}\)  = 0.82.

Exponential Function Formula;   f(x) = (e^(-γ) γ^x)/x!

     f( t ) = (2.27).γ^t/t!

(2) The percentage of rate Exponential growth change per month

3700 × 0.82 = 3034.

converting into percentage

                                    = \(\frac{3034}{100}\)  = 30.34%.

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Three 2-dimensional vectors that do not span \(R^2\) are (1, 0), (0, 1), and

(1, 1).

These vectors do not span \(R^2\) because they are all lying on a single line and cannot fill the entire plane.

A set of vectors spans a space if every vector in that space can be represented as a linear combination of the set of vectors. In this case, since these three vectors lie on the same line, any vector that is not on that line cannot be represented as a linear combination of these three vectors. Thus, these three do not span \(R^2\).

A dimensional vector, also known as a vector, is a mathematical object that represents a quantity with both a magnitude (or length) and a direction. It can be thought of as an arrow in space, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector.

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Answer:

804, the second one depends how many chips the chocolate chip cookies have in each

Step-by-step explanation: