how to determine the intercepts of the line with -5x+9y=-18

The required linear function is

f(x) = -2x+ 7

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Let the linear function f(x) = ax + b

f(0) = 7

a [tex]\times[/tex] 0 + b = 7

b  =7

f(x) = ax + 7

f(3) = 1

3a + 7 = 1

3a = 1 - 7

3a  = -6

a = [tex]-\frac{6}{3}[/tex]

a = -2

The given linear function is

f(x) = -2x+ 7

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Answer:

$12.5

Step-by-step explanation:

500/40 = 12.5

Answer:

x = 45y + 650/2

Step-by-step explanation:

20x - 45y = 650

20x - 45y + 45y = 650 + 45y

20x = 650 + 45y

20x/20 = (650 + 45y)/2

x = 45y + 650/2

Thus, The value of x is 45y + 650/2

Numbers when multiplied equal -120, added/subtracted gives 7 .

What is quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, additional methods of solving quadratic equations include factoring, completing the square, graphing, and others.

Two equations

x y = 7

x + y = 7

solving for one variable

y = 7/x

applying the one variable

x + 7/x = 7

multiplying both sides by x

x^2 + 7 = 7x

rewriting to a quadratic equation

x^2 - 7x + 7 = 0

applying the quadratic formula

x = 1/2 (7 + square root 21) and y = 1/2 (7 - square root 21)

approximate answer

x ~ 5.79129 and y ~ 1.20871

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We will not be able to figure out the price of one can of each type of canned food in the same manner of operating on two equations.

This is because the equation are identical.

Let the dog food be represented by d.

Let the cat food be represented by c.

Since Carlos buys 4 cans of dog food and 6 cans of cat food for $12.00. This will be:

4d + 6c = 12

This cane b reduced to lowest term as 2d + 3c = 6

Then the next week, he purchased 2 cans of dog food and 3 cans of cat food for $6.00. This will be:

2d + 3c = 6

Since the equations are the same, we can't calculate the price.

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The value of m∠T in the triangle is 65°

The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another.

Given: ΔABC and ΔRST

If the two triangles ABC and RST are arranged, two angles and a side of one are respectively equal to two angles and the corresponding side of the other (AAS). Thus, the triangles are congruent. This implies:

∠A = ∠R, ∠B = ∠S,  |AB| = |RS| .Also, ∠C = ∠T, |AC| = |RT| and |BC| = |ST|

Thus, <R = 41°, ∠S =  74°,

<R + ∠S + ∠T  =  180° (Sum of angle in a triangle)

41 +  74 + ∠T  =  180

115 + ∠T  =  180

∠T  =  180 - 115

∠T = 65°

Therefore, m∠T = 65°

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A number which represents the location of the snail in feet is 1/2 feet.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Note: The opposite of a given number on a number line is the number on the other side of zero (0) and the same distance from zero (0).

Based on the information provided above, we can reasonably infer and logically deduce that the snail is located at the opposite of -1/2 foot on the number line. Therefore, the opposite of -1/2 foot would be 1/2 foot.

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Hi!

The parrot starts off knowing 60 phrases at time 0.

This is the y intercept, it occurs at x = 0

A point is (x, y)

at 0, the line is equal to 60

the y intercept is (0, 60)

Each night, the parrot learns one bad phrase.  

Equation of a line given y intercept and slope is

y = mx + b

y (answer of equation)  = m (slope) x(input of equation) + b (y intercept)

Slope is 1 because every time a day passes, it learns a new phrase.

y = 1x + 60

y = x + 60

Hope this helps,

Jeron

Answer:

-3

Step-by-step explanation:

3 times negative 1 is -3 since a positive times a negative is a negative

hopes this helps

The point when reflected across the y-axis is (0, -9)

From the question, we have the following parameters that can be used in our computation:

Point = (0, -9)

Transformation = Reflect the point across the y-axis:

The rule of reflection across the y-axis is represented as

(x, y) = (-x, y)

Substitute the known values in the above equation, so, we have the following representation

Image = (0, -9)

Hence, the image is (0, -9)

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Answer:

2/5

Step-by-step explanation:

The distance between UFO and KA-12 is 1229.7 Km

Given,

Satellites KA-12 and SAL-11 have spotted a UFO.

Distance between Satellites KA-12 and SAL-11 = 900 km

Angle between UFO and SAL-11 = 60°

Angle between UFO and KA-12 = 75°

We have to find the distance between UFO and KA-12;

Here,

Consider as a triangle;

Sum of interior angles of a triangle = 180 degree

So,

The third angle here will be = 180 - 60 + 75 = 180 - 135 = 45°

Now, use sin rule;

x / sin 75 = 900 / sin 45

x = sin 75 × 900 / sin 45

x = 900 × 0.966 / 0.707

x = 869.4 / 0.707

x = 1229.7

That is,

UFO is 1229.7 Km far from KA-12

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You plant a tree in early spring. When you planted a tree it was 2 feet tall. The tree grows at a constant rate. Every year it grows ⅔ feet.

The spring season is the season of the year that occurs between winter and summer which is characterized by a gradual increase in temperature.

From the graph given in the diagram above, the X axis represents the number of years while the y axis represents the height of the trees in feet.

From the table, when X is 0; Y is 2. This means that when the tree was planted, it was 2 feet tall.

Also from the table, if after every 3 years the tree = 4 feet which is 2 feet difference from start. It then means that each year would be ;

3 years = 2 feet

1 year = 2/3 feet

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Answer: B

Step-by-step explanation:

The linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

13)

9/16 = x/12

x = 27/4

14)

(x - 13)/18 = 12/9

x = 37

15)

7/11 = 18/(x+1)

x = 191/7

16)

(3x-4)/14 = 9/10

x = 83/15

17)

17/15 = 10/(2x -2)

x = 92/17

18)

(x - 16)/(x + 6) = 3/5

x = 49

Thus, the linear equation can be solved by using arithmetic operation the answer for 13 is 27/4 etc.

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Answer:

no your trail is not over

Answer:

0.5

Step-by-step explanation:

-1+3(10-12)^3/-16

-1+3(-2)^3/-16

-1+(-24)/-16

.5

Answer: 12/15

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

12=7+15x

12-7=15x

5=15x

5/15=x

Simplify

x = 1/3

Answer:x=1/3 or x=0.3 I hope this helpful mark me brainlist if correct

Step-by-step explanation:

12=7+15x

Move the variable to the left-hand side and change its sign

12-15x=7

Then move the constant to the right-hand side and change its sign

-15x=7-12

Calculate the difference
-15x=-5

Divide both sides of the equation by -15

x=1/3 or x=0.3

The equation will be written as (42/2) = 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quotient of a number, 2, and 21 is 42. The equation of the quotient will be written as,

42 / 2 = 21

Here the value 42 when divided by 2 will give 21.

Therefore, the equation will be written as (42/2) = 21.

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Answer: 41.8

Step-by-step explanation:

38 x 0.10 = 3.8

3.8 + 38 = 41.8

41.8

Answer:

D

Step-by-step explanation:

the values in the table are linear and can be expressed in the form

y = mx + c

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 11) and (x₂, y₂ ) = (4, 7) ← 2 ordered pairs from the table

m = [tex]\frac{7-(-11)}{4-(-2)}[/tex] = [tex]\frac{7+11}{4+2}[/tex] = [tex]\frac{18}{6}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute any ordered pair from the table into the partial equation

using (2, 1 ) , then

1 = 6 + c ⇒ c = 1 - 6 = - 5

the equation representing the values in the table is then

y = 3x - 5

Answer:

Step-by-step explanation:

the answer is a

The point [tex]B(1,8)[/tex]is not a solution of the given inequality. Whereas the points [tex]C(-5,10) \text { and } D(3,6) \\[/tex]are the solutions of the given inequality.

What is inequality?

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

It can be found out simply by substituting [tex](x, y)[/tex] values in the given equation

[tex]y < 2 x^2+3 x-5[/tex]

let us start with the point [tex]3(1,8)[/tex]

here [tex]x=1 \text { and } y=8[/tex] therefore [tex]y < 2 x^2+3 x-5[/tex]

[tex]8 < 2\left(1^2\right)+3(1)-5=2+3-5=0[/tex]

that means, [tex]8 < 0[/tex] which is an incorrect inequality, therefore the point

[tex]B(1,8)[/tex] is not a solution of the given inequality.

similarly, for [tex]C(-5,10)[/tex]

[tex]10 < 2(-5)^2+3(-5)-5=50+15-5=60[/tex]

that is [tex]10 < 60[/tex], which is correct.

therefore[tex]C(-5,10)[/tex] is a solution of the given inequality.

next[tex]D(3,6)[/tex]

[tex]6 < 2(3)^2+3(3)-5=18+9-5=22[/tex]

that is[tex]6 < 22[/tex], which is correct . Therefore the point D is a solution of the given inequality.

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The required inequality that represents the given situation is 35+12C≥100.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Both mathematical phrases, equations, and inequalities are created by connecting two expressions.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >,<, ≥, ≤ or ≠ indicate that the two expressions in inequality are not always equal.

So, initial payment = $35

$12 in additional fees for each class

The minimum goal is $100.

There are C classes in total.

Minimum target: One-time starting charge + (Additional fee per class) x (Number of classes)

The scenario's inequality is as follows:

35  +  12C  ≥  100

Therefore, the required inequality that represents the given situation is 35+12C≥100.

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Answer: 1953125

Step by Step:

5^9 and because it is an odd exponent it is a positive answer for this problem

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B. 500 / 50 = 10

because the first place is the thousands place and the next is hundreds place and then the next is tens place and lastly the next is the ones places

its pretty much in order.

The answer for this equation is true.

Putting x=-4 and y=-1,

12(-4) + 9(-1) = -48-9= -57 which is smaller than 1.

What is an equation?

In mathematics, an equation is a formula that expresses equality by connecting two expressions with an equal sign. Equations and their cousins ​​in other languages ​​may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English any well-formed expression consisting of two expressions joined by an equal sign is an equation.

To solve an equation involving variables, it is necessary to determine which values ​​of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values ​​of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values ​​of the variable. Constraint expressions apply only to specific values ​​of variables.

Therefore, The answer for this equation is true.

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Answer:

? = 9

Step-by-step explanation:

First, deduce the length top part of the left side.

8 - 6 = 2

So, we can now label that top part 2.

Finally, compare the ratios of the sides.

2 : 6 = 3 : ?

2 * (3/2) : 6 * (3/2) = 3 : ?

? = 6 * (3/2)

? = 9