An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?

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:

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:

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:

b

Step-by-step explanation:

because b sounds like it lol

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:

Flip the triangle around at the point Z

Step-by-step explanation:

The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.

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

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

More about the function link is given below.

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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:

h < 2

Step-by-step explanation:

Given

5(2h + 8) < 60 ( divide both sides by 5 )

2h + 8 < 12 ( subtract 8 from both sides )

2h < 4 ( divide both sides by 2 )

h < 2

Answer:

h<2

Step-by-step explanation:

5(2h+8)<60

2h+8<12

2h<4

h<2

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:

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: 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:

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

Step-by-step explanation:

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:

graph D

Step-by-step explanation:

If you want to figure out if a graph is a function, try the vertical line test

The vertical line test is when you are able to draw a vertical line on any point of the graph, and the line you have drawn will only pass through the graph once. if it passes the graph more than one time, it is not a function

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

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.

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:

(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:

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:

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

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:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

[tex] P + J = 60min + 10min = 70 min [/tex]    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

[tex] P = J - 5 [/tex]    (2)  

By entering equation (2) into (1) we have:

[tex] (J - 5) + J = 70 min [/tex]

[tex] 2J = 75 min [/tex]

[tex] J = 37.5 min = 37 min + 30 s [/tex]

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!      

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

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:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

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)