Write the conclusion:
If Charlie goes to the store, then Harry loves school

A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school

a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,


Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.

a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.


Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.

A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store

a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store


Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.

a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80

Answer:

\(m=-2\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-1-3}{-1-(-3)}\)

\(m=\frac{-4}{-1+3}\)

\(m=\frac{-4}{2}\)

\(m=-2\)

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

Read more about expression at

brainly.com/question/4344214

#SPJ1

Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer:

r(2r + 5) + 7(2r + 5)

Step-by-step explanation:

In the first bracket the common term in both 2r² and 5r is r so divide it out.

(2r² +5r) = r(2r + 5)

In the second bracket both 14 and 35 are divisible by 7 so divide 7 out.

(14r + 35) = 7(2r + 5)

Combine your answers into:

r(2r + 5) + 7(2r + 5)

The expression value of 3x^2 - 2x+3 is 6x^2 - 13x + 6

Value of an Expression The value of the expression is the result of the calculation described by this expression when the variables and constants in it are assigned values. Letters can be used to represent numbers in an algebraic expression.

Apply the distributive property:

→ 3x (2 - 3) - 2 (2x - 3)

Apply the distributive property:

→ 3x (2x) + 3x ⋅ -3 - 2 (2x - 3)

Apply the distributive property:

→ 3x (2x) + 3x ⋅ -3 - 2 (2x) - 2 ⋅ -3

Simplify each term:

→ 6x^2 - 9x - 4x  + 6x

Subtract 4x from -9x

→ 6x^ - 13x + 6

Therefore, the expression value of 3x^2 - 2x+3 is 6x^2 - 13x + 6

Learn more about expression value here:

https://brainly.com/question/12370016

#SPJ4

The value of the expression given is 136.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x² - 2x + 3

We have to find the value of the expression when x = 7.

Substitute x = 7.

(3 × 7²) - (2 × 7) + 3 = (3 × 49) - 14 + 3

                               = 147 - 14 + 3

                               = 136

Hence the value of the expression is 136.

Learn more about Expressions here :

https://brainly.com/question/13949113

#SPJ2

Answer:

Step-by-step explanation: I am trying to interpret the question: I'll assume:

Line AB has a midpoint, M.

A is (8,4)

B is unknown, but desired

M is (3,-2)

We'll assume a straight line of the form y=mx+b, where m is the slope. m can be calculated by the "Rise" over the "Run" between the points A and M:

Rise = (4-(-2))=6

Run = (8-3)=5

Slope = (Rise/Run) = (6/5)

The line becomes y=(6/5)x+b

Calculate b, the y-intercept (the value of y when x is 0), by entering one of the two known points. I'll choose (8,4).

y=(6/5)x+b

4 = (6/5)(8)+b

b = 4 - (6/5)(8)

b = 4 - (48/5)

b = 4 - (9 3/5) or -5 3/5

The equation becomes:

y=(6/5)x - 5 3/5

Point B will have an x value of -2 [The change in x from A to M was (3-8) = -5. From M to 5 would be another -5 increment, so x goes from 3 to (3-5) or -2.

Find the value of y for x=-2:

y=(6/5)x - 5 3/5

y=(6/5)*(-2) - 5 3/5

y=(-12/5) - (28/5)

y = -(40/5) or - 8

B has coordinates of (-2, -8)

If coordinates of point A is (8, 4), then the coordinate of point B will be (-2, -8).

The "Midpoint-Formula" is used to find the coordinates of a point that lies exactly halfway between two given points. It's given as :Midpoint (M) = ((x₁ + x₂)/2, (y₁ + y₂)/2),

In this case, we have the midpoint as M(3, -2) and one of the endpoints as A(8, 4). We need to find coordinates of other endpoint which is B,

Using the midpoint formula, we rearrange it to solve for the missing coordinates (x₂, y₂),

x₂ = 2 × Mₓ - x₁,

y₂ = 2 × \(M_{y}\) - y₁,

Substitute the given values:

We have : Mₓ = 3; \(M_{y}\) = -2,

x₁ = 8; y₁ = 4

x₂ = 2 × 3 - 8 = -2;   y₂ = 2 × -2 - 4 = -8,

Therefore, the coordinates of point-B is(-2, -8).

Learn more about Midpoint here

https://brainly.com/question/28609103

#SPJ3

The given question is incomplete, the complete question is

The midpoint line AB is M(3, -2). If the coordinates of A is (8,4), What are the coordinates of B?

Answer:

5

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

Bobby around 131 minutes and Billy around 111 minutes

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

To solve the problem it is important to raise equations regarding what happens.

They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:

1 / Bo + 1 / Bi = 1/60 (1)

They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore

1 / Bi = 1 / (Bo-20) (2)

Replacing (2) in (1) we have:

1 / Bo + 1 / (Bo-20) = 1/60

Resolving

(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60

120 * Bo - 1200 = Bo ^ 2 - 20Bo

Rearranging:

Bo ^ 2 - 140Bo -1200 = 0

Now applying the general equation

Bo = 130.82 or Bo = 9.17, this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together, therefore Bobby only takes around 131 minutes and Billy around 111 minutes

Checking with equation 1:

1/131 +1/111 = 1/60

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

Answer:

(7,-6)

x = 7, y = -6

Step-by-step explanation:

(1) 6x - 5y = 72

(2) 2x + 6y = -22

multiply equation (2) by -3

-3 (2x + 6y = -22)

-6x - 18y = 66

add equation (1) and the new equation:

6x + -6x = 0

-5y + -18y = -23y

72 + 66 = 138

---> -23y = 138

divide both sides by -23

y = -6

plug in y = -6 into equation (2):

2x + 6(-6) = -22

2x - 36 = -22

2x = 14

x = 7

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

For such more question on metric units

https://brainly.com/question/30951620

#SPJ8

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

Read more about percentage at

brainly.com/question/15056889

#SPJ1

Answer:

A(Canada) / factor = A(France)

3,851,809/17 = A(France)

226,577 sqmi = A(France)

Hope that helps

NOTE: This answer is a bit off from the actual calculation but it is fine because the original value of Canada's area was given about 5,000 sqmi off.

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

???

Step-by-step explanation:

im so confused so what are you trying to answer?

Answer:

I don’t know the answer but what you could do to help would be the off little by little and then go to it that way or ask a parent or guardian for help

Step-by-step explanation:

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

For similar question on polynomial.

https://brainly.com/question/2833285  

#SPJ11

Answer:

4th one. A & C

Step-by-step explanation:

4(7x+2+x)

= 28x+ 8+ 4x

= 32x + 8

Answer:

90 per month per child

A year-12 months

3 children

~ 90×12

=1080

1080×3

=3240

Answer:

Subtract 58388383 - 776463783

a. The transfer function h(z) for the given difference equation is H(z) = (1/√2) (1 + \(z^{-1\)).

The zeros and poles are: Zero at z = -1 and pole at z = 0.

b. The transfer function h(z) for the given difference equation is H(z) = (1/√2) (1 -\(z^{-1\)).

The zeros and poles are: Zero at z = 1 and pole at z = 0.

c. The transfer function h(z) for the given difference equation is H(z) = (8.23z² - 5.4z + 23.45) / (1 - 6.2z + 5.75z²).

The zeros and poles can be found by factoring the denominator of the transfer function. The two poles are at z = 1.7 and z = 4.0, and there are no zeros.

For the given difference equations, the transfer functions and corresponding zeros and poles have been determined. For part a, the transfer function is H(z) = (1/√2) (1 + \(z^{-1\)), with a zero at z = -1 and a pole at z = 0. For part b, the transfer function is H(z) = (1/√2) (1 - \(z^{-1\)), with a zero at z = 1 and a pole at z = 0. For part c, the transfer function is H(z) = (8.23z²  - 5.4z + 23.45) / (1 - 6.2z + 5.75z² ), with poles at z = 1.7 and z = 4.0 and no zeros.

Learn more about the transfer function

https://brainly.com/question/24241688

#SPJ4

The following is deduced from the equation f(x)=(x - 1)^3 + 5

Horizontal shift: 1 left

Vertical shift: 5 down

Vertical stretch factor: 1

Vertical compression factor: 1

Axis of reflection: -x + 6

Domain: all real numbers

Range: all real numbers

Inflection Point: (1, 5)

The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.

The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.

Learn more about vertical stretch factor:

https://brainly.com/question/28353408

#SPJ1

Answer:

3n+15

Step-by-step explanation:

three (3) times (\(*\\\)) a number (n) added (+) to fifteen (15)

3n+15 is your answer

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

4x + 4 = 20

4x + 4 - 4 = 20 - 4 (subtraction property of equality)

4x = 16

4x/4 = 16/4 (division property of equality)

x = 4

Answer:

1, 2, 3, 6 are all factors of 42

Answer:so in this yo subrtact the number  12,475 with 950 and i think Im not sure and this is your answer

Step-by-step explanation:

Olivia bought a dress for $120. The tax rate is 9%. What is the total amount Olivia paid for the dress?

Answer:

7.5

Step-by-step explanation:

      9 divided by 120 = 0.075

                  0.075 x 100 = 7.5