Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.

Answers

Answer 1

The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."

what is contrapositive?

The contrapositive is defined as the inverse and converse of a conditional statement.

X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.

So, the contrapositive of this statement would be:

"If x does not equal -4, then 5x + 7 will not equal to -13."

Learn more about contrapositive ;

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Related Questions

Clara has 8 sponsors for the charity walk. Upton has 12 sponsors. Which statement comparing the number of sponsors Clara and Upton each have is accurate?

Clara has 4 times as many sponsors as Upton.
Clara has 4 more sponsors than Upton.
Upton has 4 times as many sponsors as Clara.
Upton has 4 more sponsors than Clara.

Answers

Upton has 4 more sponsors than Clara.

If Upton has 12 sponsors and Clara has 8, Clara cannot have more than Upton so times is not an option. Upton only has 4 more and not times than Clara.

Find the selling price of a sled with an original price of $99.50 and a 95% markup

Answers

99.50 times .95
94.53
99.50+94.53
194.03
Answer:
$194.03

A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
The pencils cost $0.10
The pens cost $0.25
The poster boards cost $1.50
The notebooks cost $ 3.00
The erasers cast $0.10
How many of each can the teacher by with the $ 35.

Answers

Answer: 7

Step-by-step explanation:

Recall that the domain of a function is the set values for the independent variable (x-values).
What is a reasonable domain for this problem situation?

Answers

Answer:  reasonable domain 0 ≤ x ≤ 10

Or more specifically  Real numbers between 0 and 10

Step-by-step explanation:  Look at the x-values in the graph. Use the lowest number and the highest number to describe the reasonable domain.

What is the value of the expression when
X = 5
32X - 4) - X

Answers

Answer:151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

how do you do least from greatest in decimals and greatest from least too....

Answers

what ever is bigger So if 12 and 20 which is bigger 20

School fees for a popular high school have been increasing by 9.5% per year. When Antoinette started the school, the annual fees were $6230. By the time Antoinette leaves the school 8 years later, how much have her parents paid in school fees in total? Give your answer to the nearest $100.

Answers

Answer:

Antoinette's parents paid $ 70000 by the time she left the school.

Step-by-step explanation:

Antoinette's parents paid at the beginning ([tex]t = 0[/tex]) $ 6230, and each year paid annual fees including increases seven times. ([tex]0 <t \leq 7[/tex]) We find that annual fee paid at a given year is represented by the following formula:

[tex]C(t) = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex]

Where:

[tex]C_{o}[/tex] - Initial annual fees, measured in US dollars.

[tex]C(t)[/tex] - Current annual fees, measured in US dollars.

[tex]r[/tex] - Yearly increase rate, dimensionless.

If we know that [tex]C_{o} = \$\,6230[/tex] and [tex]r =9.5[/tex], first 8 annual fees paid by Antoinette's parents are:

[tex]C(0) = \$\,6230[/tex]

[tex]C(1) =\$\,6821.85[/tex]

[tex]C(2) = \$\,7469.93[/tex]

[tex]C(3) = \$\,8179.57[/tex]

[tex]C(4) = \$\,8956.63[/tex]

[tex]C(5) = \$\,9807.51[/tex]

[tex]C(6) = \$\,10739.22[/tex]

[tex]C(7) = \$\,11759.45[/tex]

Now, we sum each yearly fees to determine the total paid by Antoinette's parents when she leaves the school at the end of the 8th year.

[tex]C_{T} = C(0) +C(1)+C(2) + C(3)+C(4)+C(5)+C(6)+C(7)[/tex]

[tex]C_{T} = \$\,6230+\$\,6821.85+\$\,7469.93+\$\,8179.57+\$\,8956.63+\$\,9807.51+\$\,10739.22+\$\,11759.45[/tex]

[tex]C_{T} = \$\,69964.16[/tex]

Antoinette's parents paid $ 70000 by the time she left the school.

-3 < 3x ≤ 9
explain how you got the answer

Answers

Answer:

-3/3<3x/3less than or equal to 9/3

-1<x less than or equal to3

this is the answer I say less than or equal to coz I don't get the mathmatical sign on my keyboard

please please help asap!!

Answers

Answer:

y = 1000 or y = 1300

Step-by-step explanation:

im not really sure but i had this problem and i said that and he took it as a answer

Joey went to the Walmart and brought 5 skateboards. He spent a total of 115$. How much does each skateboard cost

Answers

Answer:23

Step-by-step explanation:5×23=115

Answer:

Each skateboard costs $23

Step-by-step explanation

We divide 115 by 5, then we get $23.

If the sum of 8 and 5x is 11, what is the value of 2x?

Please explain the steps.

Answers

Answer:

2x = 1.6 as decimal

2x = 6/5 as fraction.

Step-by-step explanation:

Okay so just write it as an equation.

5x + 8 = 11 (minus 8 on both sides)

5x = 3 (divide by 5)

x = .6 or 3/5

NOW if you want to find what 2x equals. We already know what x equal so just multiply x by 2.

x = .6 (multiply by 2 on each side)

2x = 1.2 or

2x = 6/5

Did this help??

Four times the sum of f and g is identical to six times g.

Answers

Answer:

4 * f + g = 6g

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer: 4(f+g)=6g

Step-by-step explanation:

14. In order for Carlton's Car Dealership to make a profit, it must mark up the dealer price of cars by 14%. After the increase, a new sedan at Carl's Car Dealership is marked to sell for $14,600. What is the dealer price of the sedan? F. $12,807 G. $12,556 H. $13,114 J. $13,200 K. $14,586​

Answers

Answer:

14586 i think

Step-by-step explanation:

14,600-14%=   729993/50

simplify you get 14599  43/50

pic the closest answer

Please help me out :/

Answers

Answer:

(f × g)(x) = 3x^3 - 14x^2 -27x + 18

Step-by-step explanation:

That is f(x) × g(x). You have to multiply them as separate polynomials.

(f × g)(x) = (3x^2 + 4x - 3)(x - 6)

Use the foil method.

(f × g)(x) = 3x^3 - 18x^2 + 4x^2 - 24x - 3x + 18

Finally, simplify.

(f × g)(x) = 3x^3 - 14x^2 - 27x + 18

PLEASE HELP ASAP!

With Solution Please!

Given the function f(x) = 4ˣ

evaluate f (1)

Answers

Answer:

  4

Step-by-step explanation:

Any base raised to the power of 1 is that base.

  f(x) = 4^x

  f(1) = 4^1 = 4

Answer:

I think it is 4 (correct me if I'm wrong)

Step-by-step explanation:

the answer is 4 because the the f(1)

this means that the (x) is replaced by f(1)

then you see the 4^{x} is replaced by 4^{1}

4^{1} = 4

2-4+x+3462-189x+2877x355

Answers

Answer:

-188x+1024795

Step-by-step explanation:

trust me

Answer:

193,028,855 that is my correct answer or no

pls help asap
i am timed

Answers

Answer:

It's 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(36-(5-3)⁴) / 4 = (36 - 16)/4

= 20/4 = 5

10*5+8= what I know the answer but people need points

Answers

Answer:

58

Step-by-step explanation:

lol

use pemdas

50 + 8

58

Answer:

58

Step-by-step explanation:

x+3y=10 is a quadratic equation or NOT

Answers

Answer:not

Step-by-step explanation:

Quadratic equations involve exponents

No it isn’t as it does not have a positive exponent attached to the x. It’s a linear equation. Hope this helps! (:

A square has an area of 200 square feet. Between which two consecutive integers would the length of each side fall? *
A.) 12 and 14
B.) 13 and 14
C.) 14 and 15
D.) 15 and 16​

Answers

Answer:

B (My guess)

Step-by-step explanation:

Lucerne to $50 the first day he open his Lemonade Stand he earn $4 on the second day he and he earned $5.50 on the third day if this pattern continues how much money will Louis earn on the fifth day​

Answers

Answer: 8.50 dollars

Step-by-step explanation:

The pattern is that he earns $1.50 a day. That means that on the 5th day, he will earn $8.50.

10x-15=6x-43
Is this Infinitely Many Solutions
One Solutions
Or No solution

Answers

Answer:

one solution

Step-by-step explanation:

Given

10x - 15 = 6x - 43 ( subtract 6x from both sides )

4x - 15 = - 43 ( add 15 to both sides )

4x = - 28 ( divide both sides by 4 )

x = - 7 ← one solution

mary robertson sells tires at a large car service center. She earns 10% commission on the first $1000.15 percent on the next $2000 and 20% on sales for more than $3000 last week she sold $3400 worth of tires what is her total commission

Answers

Answer:

$1530 = 45% commission

Step-by-step explanation:

First, jot down the important facts:

• first $1000 = 10% comm.

• next $2000 = 15% comm.

• total more than $3000 = 20% comm.

• total comm. = $3400

Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:

 $3400   ← total is more than $3000 = +20% comm.

- $1000   ← the first $1000 = +10% comm.

 $2400

- $2000   the next $2000 = +15% comm.

   $400

Then, add together the commission percentages:

20% + 10% + 15% = 45% comm.

Convert the percentage to a decimal:

45% × 100 = 0.45

And multiply it with the total amount to find the commission amount:

$3400 × 0.45 = $1530

PLease explain this to me in your answer. It's the same as the previous post, don't answer unless if you actually know how to do this.

Answers

Answer:

the first point is (-3,0) the second is (0,-1)

Step-by-step explanation:

What is the solution to the equation
5(x-2)-(x+3)=x-8

Answers

Answer:

5(x-2)-(X+3)=x-8

5x-10-x-3=x-8

4x-13=x-8

4x-x=(-8)+13

3x=5

X=5/3

hope you like the answer

please mark the answer as brainliest

Answer:

-5

Step-by-step explanation:

Selene's checking account balance was -$27, and then she withdrew $43 more. What is her checking account balance after the withdrawal?

Answers

Answer:

-$70

Step-by-step explanation:

Round 43,628 to the thousands place. 40,000 43,600 43,000 44,000

Answers

Answer:

44,000

Step-by-step explanation:

did I did right.

A farmer has a field that 40 yards long by 20 yards wide what is the total area of the field

Answers

Answer:

2400

Step-by-step explanation:

A= length x width

A=40x20

A=2400

Answer:

800

Step-by-step explanation:

40 times 20=800

3. During last season, Fairfield Farms sold strawberries as follows: 800 boxes at $1.25/box in the early part of the season; 1600 boxes at $0.90/box and 2000 boxes at $0.75/box at the height of the season, and 600 boxes at $1.10/box during the late season. a) What was the average price charged? (b) What was the average price per box?

Answers

a)

Average price charged :

[tex]P=\dfrac{1.25+0.90+0.75+1.10}{4}\\\\P=\$1[/tex]

b)

Total income, T =$ 800×1.25 + 1600×0.90 + 2000×0.75 + 600×1.10

T = $4600 .

Total number of box, n = 800 + 1600 + 2000 + 600 = 5000.

Average price per box, [tex]A=\dfrac{4600}{5000}=\$0.92/box[/tex] .

Hence, this is the required solution.

Please answer all questions

Answers

Answer:

1, D

2,D

3,B

hopefully this helps you! I'm not too sure but sure enough :)

steps:

1. The answer is none of the above because if you multiply for example 51 x 10 8 it'd be 51 x 80 which is not the answer because 51 x 80 is 4080 which is not 510 000 000.

2. The answer is none of the above because if you divide 0.0763/1.85+4.7x8 it would equal 37.6 which unfortunately isn't an answer above.

3. Finally the answer for this one is B because if you have 8/9 - 5/7 it would equal 11/63 I subtracted 8 and 9 and made sure the bottom numbers were the same, and I simplified.

hopefully THIS helps you?

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