Evaluate 6x – y if x = 5 and y = 8.
3
22
43
57

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

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Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

Answer:

y=-8x+3

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.

Since the line is parallel to  [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,

[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]

so, the equation becomes,

[tex]y=-8x+3[/tex]

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:

Answer:

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer: B

Step-by-step explanation: The answer is B

Answer:

B

Step-by-step explanation:

Answer:

3000g

hope this helps

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

Answer:

10 + 2. 3(10 + 2) = ? something like that I think .

Step-by-step explanation:

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

Answer:

(8 + 9) ÷ 3 = x

Step-by-step explanation:

You first need to add 8+9, so you put them in parenthesis for PEMDAS

Then you divide them by 3

Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

Answer:

y - 2 = 4(x - 1)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope:

Plug in the slope and the given point:

y - y1 = m(x - x1)

y - 2 = 4(x - 1)

So, the equation in point slope form is y - 2 = 4(x - 1)

Answer:

8.29

Step-by-step explanation:

If you add them all together your answer should be 8.29

Answer:

8.29

Step-by-step explanation:

hope it helps! :))

Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

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Answer: Pink choice: y= -6x -2

Step-by-step explanation:

In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)

In the given equation, that is -6.  (So that knocks out the first two choices)

The other thing to look at is the y-value of the given coordinate,(-1,4)

(The y-value is the second number in the coordinate (x.y) is the pattern)

and compare it to the the last number in the equations in the choices and     Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because  +4 in this equation is where the line crosses the y-axis. ("y-intercept"  in math talk)  So yellow choice is out!

The attachment shows what the graphs of the choices look like.

The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3)   And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)    

I hope the diagram and explanation helps you understand better. It can be confusing.

Answer:

A.

Step-by-step explanation:

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. ... A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

Answer:

Step-by-step explanation:

let us first model the total amount he makes

say the number of sales made us x

let the total made be y

y=2456.75+4.5x

given that the amount of sales is 32

let us put x=32 in the expression to get the total amount

y=2456.75+4.5(32)

y=2456.75+144

y=2600.75

therefore if he sale 32 new gym membership he will make $2600.75

Answer:

Step-by-step explanation:

Distance = Speed * time

If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:

D = 15x

x = D/15 ....... 1

If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours

Her speed = 15 - 3 = 12mi/hour

If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:

D+2 = 12x

x = D-2/12  ....... 2

Equate 1 and 2:

D/15 = D-2/12

Cross multiply

12D = 15(D-2)

12D = 15D - 30

12D-15D = -30

-3D = -30

D = 10 miles

The distance for the entire trip will be D + (D-2) = 10 + (10-2)

= 10 + 8

= 18 miles

To get the time x, we will substitute D = 10 into equation1

D = 15x

10 = 15x

x = 10/15

To minutes

x = 10/15 * 60

x = 40 minutes

For the going trip

Time taken = x hours

Return trip = x hours

Total time for the entire trip = x+x = 2x

= 2(40)

= 80 minutes

Hence the total time taken for the entire trio will be 1 hour 20minutes