Question 10 Simplify the expression. 4(6x−5)

Answer:

∠6 = 61°

Step-by-step explanation:

In order to solve this, you need to know what "vertical angels" are. Based on the fact that the angle that is 61° and angle 6 make a pair of vertical angles, we know that both of these angles are equal to each, therefore ∠6 = 61°.

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

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18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

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19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

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20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer:

Here we have the function:

S(t) = 500 - 400*t^(-1)

Then the rate of change at the value t, will be:

S'(t) = dS(t)/dt

This differentiation will be:

S'(t) = -400/t^2

Then:

a) the rate of change at t = 1 is:

S'(1) =  -400/1^2 = -400

The rate of change after one year is -400

b) t = 10

S'(10) = -400/10^2 = -400/100 = -4

The rate of change after 10 years is -4, it reduced as the years passed, as expected.

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

Answer:

it is he answer is 7.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

9 and 1/2

Step-by-step explanation:

4+5=9

3/8+1/8=4/8

4/8=1/2

1/2+9=9 1/2

Answer:

the answer would be 9 1/2

f(4) = -18

g(-3) = -76

Step-by-step explanation:

f(x) = -5x + 2

f(4) = -5(4) + 2

= -20 + 2

= -18

g(x) = 3x^3 + 5

g(-3) = 3(-3)^3 + 5

= 3(-27) + 5

= -81 + 5

= -76

Answer:

F(4)= -18

G(-3)=-76

f(x)= -5x+2

g(x)=3x^3+5

To find f(4), wherever you see x in f(x) put in 4

-5(4)+2= -18

To find g(-3), wherever you see x in g(x) put -3

3(-3)^3 +5= -76

Answer:

y = -3x

Step-by-step explanation:

To get slope intercept, you divide both y values by both x values like this

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

In this case this will be [tex]\frac{(-3 - 6)}{(1 - (-2))}[/tex]

This will become [tex]\frac{-9}{3}[/tex]

Divide those two to get -3, and now you get your slope intercept.

Answer: System 1 has an infinite number of solutions and System II has no solutions.

Step-by-step explanation:

If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.

If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.

Answer:

B

Step-by-step explanation:

Answer: B.

Step-by-step explanation: took the quiz.

Answer:

57inches

Step-by-step explanation:

In order to determine how far the wheel travels, we will have to find the circumference of the wheel. This is expressed as;

Circumference of the wheel = 2πr

r is the radius of the wheel = 9in

Substitute

Circumference of the wheel = 2(3.14)(9)

Circumference of the wheel = 56.52inches

Hence the wheel travels 57inches to the nearest inch

Answer:

the answer is 10

Step-by-step explanation:

The difference between the range and the IQR of the data set represented by the box plot is 10.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.

In this case, the range is:

Range = highest value - lowest value = 34 - 16 = 18

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:

IQR = Q3 - Q1 = 29 - 21 = 8

So the difference between the range and the IQR is:

Range - IQR = 18 - 8 = 10

Therefore,

The difference between the range and the IQR of the data set represented by the box plot is 10.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ7

Answer:

B. or the second one

Step-by-step explanation:

Answer:

volume= πr²h

= 3.14×3×3×12

=339.12

now we substract 1/2 from it

1/2×339.12

= 169.56cm³

Answer:

Step-by-step explanation:    First, let's call the starting elevation of the plane: e

We can then write an equation representing this problem as:    

e−1.5mi=5.25mi

Now, add 1.5mi  to each side of the equation to solve for e

while keeping the equation balanced:

e−1.5mi + 1.5mi=5.25mi + 1.5mi

e−0=6.75mi

e=6.75mi

The plane's starting elevation was 6.75 miles

Answer:

89.75

Step-by-step explanation:

Sorry if its wrong!

Answer:

right triangle

Step-by-step explanation:has a right angle

the angle measures in the regular polygon is B)140

answer is 123.32

Step-by-step explanation:

Answer:

△ VUW = △ KJI

Step-by-step explanation:

In △ VUW, △ KJI,

UW = JI ( Sides are equal )

∠ VUW = ∠ KJI ( From the diagram )

∠ UWV = ∠ KIJ ( From the diagram )

By ASA rule of congruency,

△ VUW is congruent to △ KJI.

Answer:

Richard Mcdonald and Maurice Mcdonald

Step-by-step explanation

those are the people that found Mcdonalds

Answer: x=-1+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract 2x from both sides of the equation.

X2-1=−2x

Add 1 to both sides of the equation.

X2=−2x+1

Take the square root of both sides of the equation to eliminate the exponent on the left side.

X=±√−2x-1

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

X=√−2x+1

Next, use the negative value of the ± to find the second solution.

X=−√−2x+1

The complete solution is the result of both the positive and negative portions of the solution.

X=√−2x+1

X=−√−2x+1