What transformation is represented by the rule
(1, y) → (1, y+3)?
O translation 3 units down
O translation 3 units right
O translation 3 units up
O translation 3 units left

Answer:

5 x + 4 y = 4 b

Step-by-step explanation:

You haven't specified what form you need. Here is the Standard form, but you can also calculate the Slope intercept form points and the Point-Slope form.

Find the equation of the line in standard form with the properties:

slope: m = -5/4

At least two parameters must be provided to determine a line equation:

Since the line is incompletely determined, compute the equation assuming an arbitrary y-intercept b

Substitute the slope m = -5/4 into the slope-intercept equation y = m x + b:

y = -(5 x)/4 + b

Add (5 x)/4 to both sides:

(5 x)/4 + y = b

Multiply both sides by 4:

4 ((5 x)/4 + y) = 4 b

Distribute: 4 ((5 x)/4 + y) = 5 x + 4 y:

Answer: 5 x + 4 y = 4 b

The width of yard in inches is 72 inches.

We are given the perimeter and length of yard. We are also given the perimeter of the rectangle, which is as follows -

P = 2l 2w

Rewriting this formula in simplified form, by taking 2 common from both the values  -

P = 2×(l + w), where P refers to perimeter, l refers to length and w refers to width.

Now, keep the values in formula to find the width of rectangle -

22 = 2 × (5 + w)

Shifting 2 to other side of equation and performing division

5 + w = 22÷2

5 + w = 11

Shifting 5 to other side of equation and performing subtraction to find the value of width

w = 11 - 5

w = 6 feet

Now, we need the width in inches. We are given -

1 foot = 12 inches

So, 6 feet = 12 × 6

6 feet = 72 inches

Hence, the width of rectangular yard is 72 inches.

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Answer:

72in

Step-by-step explanation:

Answer:

Question:

A triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle?

A.) (-1,3),(2,-1),(-1,-1)

B.) (6,0),(6,7)(0,7)

C.) (-1,-1),(-6,-13),(-9,-9)

D.) (-3,-4),(3,-4),(3,4)

Triangle and Coordinate Geometry

As the name suggests 'tri-angle' means it has three angles that are formed only when three sides are joined together.

So the triangle is a planner geometry that has three sides and three interior angles. In a triangle, the sum of all three interior angles is always

180

∘

.

If a triangle

A

B

C

has the sides

a

,

b

,

and

c

, then

The perimeter of the triangle:

P

=

a

+

b

+

c

In coordinate geometry, the distance between two points:

D

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Answer and Explanation:

Given:

The perimeter of the triangle is

24

units.

There are four options with different-different vertices and one of them is correct, so we choose one option randomly and check it for the given perimeter.

Firstly we chose the option

D

:

The vertices of the triangle are:

P

(

−

3

,

−

4

)

,

Q

(

3

,

−

4

)

,

and

R

(

3

,

4

)

Using the distance formula:

D

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

So

P

Q

=

√

(

3

+

3

)

2

+

(

−

4

+

4

)

2

=

√

6

2

+

0

=

6

u

n

i

t

And

Q

R

=

√

(

3

−

3

)

2

+

(

4

+

4

)

2

=

√

0

+

8

2

=

8

u

n

i

t

And

P

R

=

√

(

3

+

3

)

2

+

(

4

+

4

)

2

=

√

6

2

+

8

2

=

√

36

+

64

=

√

100

=

10

u

n

i

t

So

The perimeter of the triangle

P

Q

R

is:

Perimeter

=

P

Q

+

Q

R

+

P

R

=

6

+

8

+

10

=

24

u

n

i

t

s

Step-by-step explanation:

Answer:

25% is the correct answer

Answer:

(10 + 3x) (10 - 3x)

Hope this helps!

Answer:

-15

Step-by-step explanation:

set it up

f(40)=-2x+10

40=-2x+10

subtract ten

30=-2x

divide by -2 to isolate the x

-15=x

Answer:

f(x) = -2x + 10

If f(x)= 40

By using equation,

or, 40=-2x+10

or, 40-10=-2x

or, 30=-2x

or, 30/-2=x

Therefore x=-15

Answer:

10 days

Step-by-step explanation:

60/50×12 give u the number of days it will last them

the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

We are given that:

The first integer is represented by the variable x.

We need to find the next four consecutive odd integers.

We know that the difference between the two consecutive odd integers will always be 2.

So, this means, we can always get the next odd integers by adding 2 to the previous one.

So, we get that:

x + 2

x + 2 + 2 = x + 4

x + 4 + 2 = x + 6

x + 6 + 2 = x + 8

Therefore, we get that, the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

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The statement that the ratio 2/5 to 1/3 has a unit rate of 2/15 is; True

A unit rate is defined as a rate for one of something. This can be written as a ratio with a denominator of one.

For example, if you ran 50 meters in 10 seconds, you ran an average 5 meters in 1 second. Both of the ratios, 50 meters in 10 seconds and 5 meters in 1 second, are rates, but the 5 meters in 1 second is a unit rate.

We are given the ratio 2/5 to 1/3. Now, this can be expressed as;

(2/5)/(1/3) = 2/5 * 1/3 = 2/15

Thus, this corresponds with the given unit rate of 2/15.

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Number of servings of Gerber mixed cereal for baby = 1

Number of servings of Gerber mango tropical fruit dessert for baby = 3

Given information about Gerber products are,

Gerber mixed cereal for baby contains, in each serving, 60 calories and 11 grams of carbohydrates.

Gerber mango tropical fruit dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.

We have to find the number of servings of each to provide exactly 300 calories and 74 grams of Carbohydrates. So we need to find the appropriate combination of numbers 60 and 80 to make 300 and combinations of 11 and 21 to get 74.

Since 1 x 60 + 3 x 80 = 60 +240 = 300

and 1 x 11 + 3 x 21 = 11 + 63 = 74 ,

we can conclude that 1 serving of Gerber mixed cereal and 3 servings of Gerber mango tropical fruit dessert  will do.

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The simplified result is :

[tex]4x/x^{2}[/tex] - 1

= 4/x -1

4-x / x.

Factored form, the product of a constant and two linear terms: or. The parameters and are the roots of the function (the x-intercepts of the graph). Converting a quadratic function to factored form is called factoring.

An example for a quadratic function in factored form is y=½(x-6)(x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them.

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Answer:

0.24 ounces for 3 teabags.

Step-by-step explanation:

Since this is a 1 digit number, we should find out how much each teabag weighs. We can do this by dividing 8 by 100, which gives us 0.08.

Now we can multiply that by 3, which gives us 0.24, so 3 teabags are 0.24 ounces.

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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Answer:

8 1/4 or 33/4

Step-by-step explanation:

How to muliply fractions: just multiply all the denominators together and the numerators together

However, if your mulitplying whole numbers, you have to change those into improper fractions using the formula: Whole number x denomiator + numerator

**Make sure to put the same numerator as you had before when you change to an improper fraction!!!

-4 1/2 = -9/2

-2 1/5 = -11/5

5      -9    -11        5 x -9 x -11        -45 x -11 (use a calculator)       495

--   x  -- x  ---   =   ---------------  =   -------------                              =  ------------

6       2     5         6 x 2 x 5           12 x 5                                         60

                      1         33

=  8.25 or  8  ---- =  --------

                       4         4

The values of the variables are:

a = -3

b = 2

c = -4

d = 6

e = -7

Given, the expressions are:

4a + 2 = -10

4a = -10-2

4a = -12

a = -3

substitute a value in the next expression.

a(2+b) = -12

-3(2+b) = -12

-6-3b = -12

-3b = -12+6

-3b = -6

b=6/3

b = 2

now substitute b value in the next expression.

-5c+b= 22

-5c+2 = 22

-5c = 22-2

-5c = 20

c = -20/5

c = -4

substitute c value in the next expression.

7(c+d) = 14

7(-4+d) = 14

-28+7d = 14

7d = 14+28

7d = 42

d=42/7

d=6

In the last expression substitute c and d values to find e.

d-c-e= 17

6-(-4)-e = 17

6+4-e = 17

10-e = 17

-e = 17-10

-e = 7

e = -7

hence we get the values of all the variables.

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9 pounds of hamburger meat will be needed by Brian.

We are given value for one unit. The calculation is required for more than one units, hence, multiplication will be performed.

As per the given information, amount of hamburger meat required for one person is = 3/4 pound

Amount of hamburger meat required for 12 people = (3/4) × 12

Performing division to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 3 × 3

Performing multiplication to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 9 pounds

Therefore, Brain needs to buy 9 pounds of hamburger meat.

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The Janitor used 8/15 of the bottle

How to calculate the amount of the solution of the bottle used ?

The Janitor has 3/5 of a spray bottle solution

He uses 1/9 of the solution in a day

The amount of solution used can be calculated as follows

3/5 × 1/9

= 3/45

= 1/15

The initial amount  in the bottle is

3/5 - 1/15

= 8/15

Hence the amount of solution he has used is 8/15

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Answer:

d)2

Step-by-step explanation:

you would group-like terms and so

4q+q=11-1

5q=10(you would let q stand on it own)

so you divide through by 5

5q/5=10/5

q=2

we did 4 different substitutions to evaluate the expression in 4 different values of x.

Here we have a linear expression that depends on the variable x, and can be written as:

(5x + 25)

And we want to evaluate this in some different values of x. This just means that we need to replace the value of x by different numbers.

First, let's use x = 3

This will give:

(5*3 + 25) = 15 + 25 = 40

Then we use x = 5

(5*5 + 25) = 25 + 25  = 50

Then we use x = -5

(5*-5 + 25) = -25 + 25  =0

Finally, we evaluate in x = 0.

(5*0 + 25) = 0 + 25 = 25

So we did 4 different substitutions to evaluate the expression in 4 different values of x.

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Answer:    Find the square roots and the multiply that by 4

Step-by-step explanation:

hope this helped

Answer:

∠ABC = 40

∠CBC = 50

Step-by-step explanation:

∠ABC + ∠CBD = 90

2x + (3x - 10) = 90

2x + 3x - 10 = 90

5x = 100

x = 20

∠ABC = 2x = 2(20) = 40

∠CBC = 3x - 10 = 3(20) - 10 = 50

Answer:

2/15

Step-by-step explanation:

Slope: m=(y2-y1)/(x2-x1)

m = (3 - 7)/(-14 - 16) = (-4)/(-30) = 4/30 = 2/15

During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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Answer:

Let Pip get = x

Fiona gets = x + 35

Ratio = 6:1

x+35/x = 6

x + 35 = 6x

5x = 35

x = 7

Total money = x + x + 35 = 14+ 35 = £49

Answer:

£49

Step-by-step explanation:

Fiona gets 35 more than Pip so 6-1 =5 and 5 portions = 35

so 1 portion = 7

7x6 = 42

7x1 =7

7+42 = 49

so they got £49

hope this works :)

the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

Here we have a line given by a point-slope equation:

y + 7 = (-2/3)*(x + 6)

And we would want to get a function of the form y = f(x). So the first thing we need to do is isolate y in one side of the above equation. If we subtract 7 in both sides we will get:

y = (-2/3)*(x + 6) - 7

Expanding that:

y = (-2/3)*x + (-2/3)*6 - 7

y = -(2/3)*x - 4 - 7

y = (-2/3)*x - 11

Then the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

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The rate of change from 1 hour to 2 hours will be 125 miles per hour. Option C is correct.

What is linear equation?

A relationship between two or more parameters that, shown on a graph, produces a linear model. The degree of the variable will be one.

Given that;

Two points on the graph are (1, 125) and (2, 250).

Now, The slope of the line is calculated as;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Hence, Slope of the line passes through the points (1, 125) and (2, 250).

m = (250 - 125) / (2 - 1)

m = 125

So, The rate of change from 1 hour to 2 hours will be 125 miles per hour.

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Answer:

21(10)

Step-by-step explanation:

youll have to do 21 times 10

Answer:

[tex]\frac{210.00}{10}[/tex] = x

Step-by-step explanation:

[tex]\frac{210.00}{10}[/tex] = x

Let x is the number that each person needs to pay.