For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)

Answer:

Mary's sister is 12 years old.

Step-by-step explanation:

If Mary is half of her sister's age, her sister is 2 times her age.

Represent M as Mary's age...

M+2m=18

3m=18

3m/3=18/3

m=6

But because Mary is a half of her sister's age...

6*2=12

Answer:

12 years

Step-by-step explanation:

12/2 = 6

12 + 6 = 18

Any conditional is of the form "if hypothesis, then conclusion"

=============================

13.

Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

=============================

14.

Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

=============================

15.

Hypothesis = The light does not come on

Conclusion = The circuit is broken

=============================

16.

Hypothesis = It is cold outside

Conclusion = You must wear your jacket

It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).

The Hypothesis and Conclusion of each statement are;

13. Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

14. Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar

15. Hypothesis = The light does not come on

Conclusion = The circuit is broken

16.Hypothesis = It is cold outside

Conclusion = You must wear your jacket

What is The Hypothesis and Conclusion?

The conclusion is “then,” part of a conditional statement.

The hypothesis is the “if,” part of a conditional statement

Now,

To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"

The first statement is;

13.  If the ball is red, then it will bounce higher.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = The ball is red

Conclusion = It (the ball) will bounce higher

And, The second statement is;

14. If a plane contains two lines, then they are coplanar.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = A plane contains two lines

Conclusion = They (the two lines) are coplanar.

And, Third statement is;

15. If the light does not come on, then the circuit is broken.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = The light does not come on

Conclusion = The circuit is broken.

And, Fourth statement is;

16. You must wear your jacket if it is cold outside.

In form of the hypothesis and conclusion written as;

⇒ Hypothesis = It is cold outside

Conclusion = You must wear your jacket

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Answer:

1. 700

2.1050

Step-by-step explanation:

you add 310 and 390 and get 700

350 plus 700 is 1050

Answer: Hector needs to drive 325 more miles.

Answer:

6%per year

Step-by-step explanation:

210000/300000=.7

it increased by 30%

30/5=6%per year

The ratio of the increase to the original will be 0.43.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Original value = $210,000

Final value = $300,000

Increment = 300000 - 210000 = 90000

The ratio of increment to original

⇒ 90000 / 210000 = 0.43

Hence "The ratio of the increase to the original will be 0.43".

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Answer:

62

if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62

Answer:

The answer is 7

Step-by-step explanation:

6*7=42

Answer:

252

Step-by-step explanation:

42 x 6 = 252

To cheek the answer: 252 ÷ 42 = 6

Answer:

If it was 9:38 it would be 10:08

Step-by-step explanation:

Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.

Hope this helped! :))

Answer:

20

Step-by-step explanation:

Substitute x = 6 into f(x), that is

f(6) = 2(6) + 8 = 12 + 8 = 20

Answer: $1,104

Step-by-step explanation:At the end of 20 years, your savings will have grown to $1,604.

You will have earned in $1,104 in interest.

Answer:

c) 4 or more times

Step-by-step explanation:

Answer:

Rose was wrong because 4 + 11 is not 7; the answer would be 15*F

Step-by-step explanation:

4+11 = 15

hope this helps

Rose is incorrect as the temperature in Mayville that afternoon

(4 + 11)°F = is 15°F not (-4 + 11)°F = 7°F.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Overnight, the temperature in Mayville was 4°F.

But by the following afternoon, the temperature had risen 11°F.

∴  The temperature in Mayville that afternoon is the sum of the total temperatures which is,

= (4 + 11)°F.

= 15°F

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Answer:

-63

Step-by-step explanation:

Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!

Answer:

[tex]BD = 19[/tex]

Step-by-step explanation:

Given

[tex]CD = 2x[/tex]

[tex]BD = 3x + 4[/tex]

[tex]BC = 2x -1[/tex]

Required

Find BD

Since C is on BD, we have:

[tex]BD = BC + CD[/tex]

Substitute values for BD, BC and Cd

[tex]3x + 4 = 2x - 1 + 2x[/tex]

Collect Like Terms

[tex]3x - 2x - 2x = -1 - 4[/tex]

[tex]-x = -5[/tex]

Multiply through by -1

[tex]x = 5[/tex]

Substitute 5 for x in [tex]BD = 3x + 4[/tex]

[tex]BD = 3 * 5 + 4[/tex]

[tex]BD = 19[/tex]

Answer:

the answer is 86!

hope this helped

Answer:

the answer to your question is 86

Answer: D

Step-by-step explanation:

My Teacher gave me the answer

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

8.15 is a rational number

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

9^c = 243

3^(c)*2 = 243

3^(c)*2 = 3^5

Since the bases are the same the powers can be equated.

2*c =5

c = 5/2

c = 2 1/2

Check

9^2.5 = 243

Use the ^ or y^x or x^y key

Answer:

x=1

Step-by-step explanation:

The function graph is a parabola (branches pointing up). Vertex (1; -2). The graph is symmetrical about the x axis = 1

[tex]f(x)=2x^{2} -4x \\x_{0} =-b/2a=-(-4)/(2*2)=1\\f(1)=-2\\[/tex]

Answer:

17

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

Answer:

$1715

Step-by-step explanation:

You have to find out what 25% of $6,860 is, which is the same as dividing the total by 4, since 1/4 = 25%. So,

$6,860/4=$1715

Answer:

y= 4x - 8

Step-by-step explanation:

hope this helps :)

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

1/6 of 36 is 6

1/9 of 36 is 4

6+4=10

36-10= 26

Answer:

26 cakes

Step-by-step explanation:

36 divided by 6 = 6

30 - 6 = 24

36 divided by 9 = 4

6 + 4 = 10

36 - 10 = 26

Hopefully this helps you :)

pls give me brainlest  ;)

Answer:no solution

Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution