The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

Answer:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Step-by-step explanation:

We have the two points (3a, 4) and (a, -3).

And we want to find the value of a such that the gradient of the line joining the two points is 1.

Recall that the gradient or slope of a line is given by the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) is one point and (x₂, y₂) is the other.

Let (3a, 4) be (x₁, y₁) and (a, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-4}{a-3a}[/tex]

Simplify:

[tex]\displaystyle m=\frac{-7}{-2a}=\frac{7}{2a}[/tex]

We want to gradient to be one. Therefore, m = 1:

[tex]\displaystyle 1=\frac{7}{2a}[/tex]

Solve for a. Rewrite:

[tex]\displaystyle \frac{1}{1}=\frac{7}{2a}[/tex]

Cross-multiply:

[tex]2a=7[/tex]

Therefore:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Answer:

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

Objective: Linear Equations and Advanced Thinking.

If a line connects two points (3a,4) and (a,-3) has a gradient of 1. This means that the slope formula has to be equal to 1

If we use the points to find the slope: we get

[tex] \frac{4 + 3}{3a - a} [/tex]

Notice how the numerator is 7, this means the denominator has to be 7. This means the denomiator must be 7.

[tex]3a - a = 7[/tex]

[tex]2a = 7[/tex]

[tex]a = \frac{7}{2} [/tex]

Answer:

english pls :c

Step-by-step explanation:

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

Answer:

[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Step-by-step explanation:

Answer:

{\color{#c92786}{6-4y}}=8

6−4y=8

−4+6=8

{\color{#c92786}{-4y+6}}=8

−4y+6=82

Subtract from both sides of the equation

=

−

1

2

Answer:

Scale Factor 3

Step-by-step explanation:

According to the Question,

Therefore, the scale factor of the dilation from triangle MNP to QRP is

Answer:

832.5

A unit rate is a rate with 1 in the denominator.

Answer:

quarter 2/ 5

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

The cube root of x to the power of 3 is

( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x

or

[tex]\sqrt[3]{x^3}[/tex] = x

Answer:

B

Step-by-step explanation:

(x+y)-(-z)

=(x+y)-(-z)

=(x+y)+z

=x+(y+z)

Answer:

the volume of the cone is 60

Step-by-step explanation:

12×5=60

Answer: y = $50x + 100

Answer:

AUBUC= { a,b,c,d,e,f,g,h,i,o,u}

Answer:

72

Step-by-step explanation:

6*6 = 36

3*12 = 36

36 + 36 = 72

Answer:

Step-by-step explanation:

Equations

x + y = 29

x^2 + y^2 = 425

Solution

y = 29 - x

x^2 + (29 - x)^2 = 425

x^2 + (841 - 58x + x^2 ) = 425

x^2 - 58x + x^2 + 841 - 425 = 0

2x^2 - 58x +416 = 0

a = 2

b = - 58

c = 416

You get two answers that look valid

2x^2 - 58x + 416 = 0

x^2 - 29x + 208 = 0           This factors

(x - 16)(x - 13) = 0

x = 16

y = 13

Now check it

16^2 + 13^2 = ? 425

256 + 169 =  425

Answer:

picture above my answer is the answer you asked

Answer:

A

C

D

Step-by-step explanation:

Select three ratios that are equivalent to 4:3.

Choose 3 answers:

(Choice A)

8:6

(Choice B)

9:12

(Choice C)

20:15

(Choice D)

32:24

(Choice E)

36:28

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

To determine which fractions are equivalent to 4:3 express the options in their lowest terms

option 1 - 8 : 6

To transform to the simplest form. divide the numbers by 2

4 : 3 this is equivalent

option 2 : 9 : 12

To transform to the simplest form. divide the numbers by 3

= 3 : 4 this is not equivalent

option 3 : 20:15

To transform to the simplest form. divide the numbers by 5

4 : 3 this is equivalent

option 4 : 32:24

To transform to the simplest form. divide the numbers by 8

4 : 3 this is equivalent

option 5 : 36:28

To transform to the simplest form. divide the numbers by 4

9 : 7 this is not equivalent

Answer:

35 miles

Step-by-step explanation:

To get the total number of miles, you add up the value of the X's to get 35 miles. Have a great day!

Answer:

B

Step-by-step explanation:

t = 20u

r = 5u/2

3rt = 3((20u)(2.5u))

3rt = 3(50u)

3rt = 150u

The value for the expression 3rt is 50u².

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have  t = 20u and r= 5u/2.

We have to find the value of 3rt by putting the value of t and r as

3rt

= 3 (5u/ 2) (20u)

= 5u x 10u

= 50 u x u

= 50 u²

Learn more about Equation here:

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Answer:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

Step-by-step explanation:

A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093

B. 25,000 minus 1500 (5), or approximately $17,500

C. 25,000 (0.15) Superscript 5, or approximately $18,984

D. 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575

Value of the car = $25,000

Percentage decrease per year = 15%

Value after 5 years

Total percentage value of the car = 100%

Percentage value remaining each year = (100% - 15%)

= (1 - 0.15)

Decrease of the car in the next 5 years = $25,000(1 - 0.15)^5

= $25,000(0.85)^5

= $25,000(0.4437053125)

= $11,092.6328125

Approximately = $11.093

Value of the car in the next 5 years = $25,000 - $11,093

= $13,907

Answer:

It's A, $11,093

Step-by-step explanation:

Took the test on Edge

Answer:

6/4 or 1 1/2

Step-by-step explanation:

You have to use the Keep Change Flip technique.

Keep 3/4.

Change the division symbol to a multiplication one

Flipi 1/2 to 2/1

and when you multiply the answer is 6/4 = 1 1/2

Answer:

11/15 = 73%

Step-by-step explanation:

because in total there are 15 cards and 4 of them is not green. You would want to see what is the probability of other colored carded after leaving out the green ones.

The probability that both cards drawn from the box are not green is 27/52.

To determine the probability that both cards drawn from the box are not green, we need to calculate the probability of each individual draw and multiply them together.

Initially, the box contains a total of 6 red index cards, 3 yellow index cards, and 4 green index cards.

For the first draw, there are a total of 13 cards in the box. Since we are interested in the probability of not drawing a green card, there are 13 - 4 = 9 non-green cards. Therefore, the probability of not drawing a green card on the first draw is 9/13.

For the second draw, there will be 12 cards left in the box. Since one green card has already been removed, there are now 12 - 3 = 9 non-green cards remaining. Thus, the probability of not drawing a green card on the second draw is 9/12.

To find the overall probability, we multiply the probabilities of each individual draw:

(9/13) * (9/12) = 27/52

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Answer: 312 balcony seats and 396 ground seats

Step-by-step explanation:

Multiplying the second equation by 10, we get 10b+10g=7080.

Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.

Thus, g=396.