Mathematics High School

Find an equation of a linear function given h(1)=6 and h(4)=-3

Answers

Answer 1

We can rewrite this in the form of h (t):

at t = 1, h = 6

at t = 4, h = -3

 

The linear equation is in the form of:

h = mt + b

where m is the slope and b is the h-intercept

 

So calculating for the slope m:

m = [-3 – 6] / (4 – 1)

m = (-9) / 3

m = -3

 

So,

h = -3t + b

Solving for b by plugging in any pair:

6 = -3(1) + b

b = 9

 

Therefore:

h = -3t + 9

Related Questions

Jamaal studied h hours for a big test. Karla studied one fourth as long. Write an algebraic expression for the length of time Karla studied. Use this expression to determine the length of time that Karla studied if Jamaal studied for 5 hours and 20 minutes.

Answers

Let's assign variable x to denote the number of hours for Karla to study. Since the relationship is relative to Jamaal's hours, the equation for Karla's hours would be:

x = (1/4)h

So, if Jamaal studied h = 5 h + (20 min* 1 h/60 min) = 16/3 or 5.333 hours. Thus, Karla's hours would be

x = (1/4)(16/3) = 1.33 hours or 1 hour and 20 minutes.

veronica saving money to buy a saddle for her horse that cost $175. she plans to save $10 the first month and then increase the amount she saved by $5 each month after the first month. how many months will it take her to save $175

Answers

Take how much money she needs, which is $175. Subtract $10 from that. You get $165. Now divide that by $5. $165 divided by $5 is 33. That's 33 months. BUT, we also have to include the first month (because that month is saving money too, $10). So that month (1) plus the others (33) equals 34 months.

So, the answer: 34 months.

God bless!
Hi there,

the answer is 34 months

Hope this helps :)

Write an addition equation with a positive addend and negative addend and a resulting sum of -8

Answers

-18 + 10 = -8

------------------------------------

A rectangle has an area of 48 cm^2 and a perimeter of 38 cm. what are the dimensions of the rectangle?

Answers

Final answer:

We infer from the question that the dimensions of the rectangle, satisfying both the given area of 48 cm² and the given perimeter of 38 cm, are 12 cm x 4 cm.

Explanation:

The topic of this question relates to the geometrical concept of rectangles. We know that the area of a rectangle is determined by the formula Area = length * width and the perimeter is given by the formula Perimeter = 2*(length + width). Given that the area is 48 cm² and the perimeter is 38 cm, we can set up the following equations:

Area = length * width = 48Perimeter = 2*(length + width) = 38

Since the Perimeter and Area involve both length and width, we use simultaneous equations to solve this. By trial and error or via substitution method, we find that the dimensions satisfying both conditions are: length = 12 cm and width = 4 cm. Therefore, the dimensions of the rectangle are 12 cm x 4 cm.

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Do numbers need to be listed in order when determining the arithmetic mean

Answers

Using the commutative property of addition, and since we simply add the numbers together in parenthesis, they do not

Andre went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house.The second trail he hiked took him 2.4 miles closer to his house.The third trail took him 1.7 miles further away from his house.After Andre hiked the three trails,how far from his house was he?

Answers

4.5 - 2.4 + 1.7

2.1 + 1.7

= 3.8

- Andre is 3.8 miles away from his house.

Andre is 3.8 miles away from his house after hiking the three trails.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The first trail he hiked on took him 4.5 miles away from his house.

The second trail he hiked took him 2.4 miles closer to his house.

The third trail took him 1.7 miles further away from his house

Here the expression of the given problem and apply the arithmetic operations,

⇒ 4.5 - 2.4 + 1.7

⇒ 2.1 + 1.7

⇒ 3.8

Hence, Andre is 3.8 miles away from his house after hiking the three trails.

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Which number is irrational?
A: 0.277277277...
B:0.333...
C:pie
D:0.7

Answers

The correct answer would be C) Pi.
It is irrational because it cannot be written as a ratio (or fraction)

Answer:

PI or 0.333333333333333333333333333

When 5.7 m is divided by 2 s, the quotient is correctly reported as?

Answers

To get the correct answer or get the best degree of precision in the results, the answer or the quotient must be reported based on the least amount of decimal points of the given numbers. In this case, the least number of decimal points is zero since we are given the value 2.

So the quotient is:

5.7 / 2 = 3


Answer:

3 m

the sum of three numbers is 64. the second number is 3 more than the first. the third number is 11 less than twice the first. find the numbers

Answers

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.

What is the simplified answer for -2/3+4/3

Answers

-2 + 4 = 2

 so:

-2/3 + 4/3 = 2/3

At Cooper High School, jazz band is only offered as a zero-hour (before school) class. Dan has a zero-hour class. Conjecture: Dan is in jazz band. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; Dan may be enrolled in a different zero-hour class D. false; Dan can never be in jazz band

Answers

I would say this is false because Dan may be in another zero hour class.

C.

if y =6.6 when x=9.9, find y when x=6.6

Answers

I believe that the answer would be 3.3. When x=9.9 y is 3.3 less than 9.9 making it 6.6. So when x=6.6 y should be 3.3 less. Which would be 3.3. Hope this helps:)
To find the answer, first find y if x is 1. So, divide 9.9 by itself and -6.6 by 9.9. Then you get y = -0.666... when x = 1. Then multiply both by 6.6. You will get y = -4.4 when x = 6.6.

Write a real world problem for the two step equation 8b+6=38

Answers

Ricky purchased (b) combos for $8 each, and a mega shake for $6. He spent $38 altogether. How many combos (b) did Ricky buy from the diner?

This took a bit lol but I had fun hoped it helped!

Suppose a system of equations has fewer equations than variables and you have found a solution to this system of equations. is it possible that your solution is the only one? explain.

Answers

If you've guessed the solutions, good for you.  But if they are linear equations, they will only intersect each other graphically at one point.  So no  there is not another solution.

Can someone help me on problem 79

Answers

79

a) the multiplier would be 1 - 0.15 = 0.85

b) value = 27,000*0.85^y ( with y being the number of years)

c) y = 5 years

27000 x 0.85^5 = 11980.04

 the car will be valued at $11,980.04 after 5 years

what is 0.698 rounded to the nearest hundreath

Answers

0.70

We know this because 8 rounds up!

Hope this helped!
9 is in the hundredths place, so the answer would be 0.7 because if you round up the eight over to the 9, the numbers are too large so you round it over once more.

There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation

Answers

Let the total number of cans be x and the total number of tennis balls be y,

Since increasing the total number of cans causes the total number of tennis balls to increase too, x and y is direct in proportion.

Let the constant be k,
y = kx
45 = k9
k = 45/9
= 5

The constant of the proportionality for this situation is 5.

The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

True
False

Answers

I think it might be false hope I'm right

translate into an equation Find three consecutive even integers whose sum is negative eighteen

Answers

well if your sum is -18 then you know your answers are going to be negative numbers. 

make x be your first unknown negative even integer. you want your negative x and then negative x minus two and negative x minus four 

x1= x 
x2= x-2 
x3= x-4 

you know all three need to equal -18 

solve for x: 
-18= -x + (-x-2) + (-x-4) 

-18 = -x-x-2-x-4 
-18+2+4= -3x 
12=-3x 

12/-3=x 

-4=x 

then plus x into the first problem. 

x1= -4 = -4 
x2= -4-2 = -6 
x3= -4-4 = -8 


so your integers would be -4, -6, and -8 

check: 
(-4) + (-6) + (-8) = -18 

let me know if you have any questions. 

A friend eats eats one-fifth of a pizza; you decide to eat half of what was left. How much is left after you eat the pizza?

Answers

If your friend ate 1/5 of the pizza, there is 4/5 left.

If you ate 1/2 of 4/5, you ate 2/5, and you left 2/5. Remember that to find 1/2 of 4/5, multiply the fractions to get 4/10, which simplifies to 2/5.

Final answer: 2/5 of the pizza.

it would be 2/5 since 1/5 is subtracted from your friend, and you are eating half which would be 2/5 since you have 4/5 now and 2/5 = half of 4/5. (Fun Fact: I cant even eat half a pizza).

HELP PLZ 20 POINTS RIGHT ANSWERS ONLY :
Polygons LMNO and L'M'N'O' are shown on the following coordinate grid:


What set of transformations is performed on LMNO to form L'M'N'O'?

Answers

Well the first step is a reflection across the Y axis. Then there is a 90degree rotation. Hope this helps!

Answer:

A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

i got it right on my exam

What would be the answer to this question and how would you solve it??

It is #24

Answers

the slope is the change in Y over the change in x

 x = the first numbers 5 & 10

y = the second numbers 8 & 12

10-5 =5

12-8 = 4

 so slope = 4/5

Which is the correct label of the parallel lines? parallel lines a and b are shown. points a and b lie on line a while points c and d lie on line
b?

Answers

Final answer:

The parallel lines mentioned in the question are correctly labeled as 'AB' for Line a (which involves points A and B) and 'CD' for Line b (which refers to points C and D).

Explanation:

In geometry, parallel lines are often labeled with the same letter. In your case, the parallel lines are described as Line a and Line b. Points A and B lie on Line a, and Points C and D lie on Line b. Therefore, to correctly label the lines, 'Line a' is written as 'AB' since points A and B are on this line. Meanwhile, 'Line b' is labeled as 'CD' since points C and D are on that line.

So, in conclusion, the correct labels for the mentioned parallel lines are AB for 'Line a' and CD for 'Line b'.

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can someone help me with this ?

Answers

(w³+7)/w=(9w²+7)/9
(w³+7)9=(9w²+7)x
9w³+63=9w³+7x
63=7x
x=9
w cannot = 0
Cross multiply to get 
9(w^3+7) = (9w^2+7)w
Remove parentheses 
9w^3+63=9w^3+7w
Cancel equal terms
63 = 7w
Divide by 7
w = 9 , w = 0

Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .

Answers

First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.

cos(π/3−π/4)

Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)

cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/3) is 12, so:

(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)

The exact value of cos(π/4) is √22.

(12)⋅(√22)+sin(π/3)⋅sin(π/4)

The exact value of sin(π/3) is √32.

(12)⋅(√22)+(√32)⋅sin(π/4)

The exact value of sin(π/4) is √22.

(12)⋅(√22)+(√32)⋅(√22)

Simplify each term:

√24+√64

Combine the numerators over the common denominator.

(√2+√6) / 4

You’ve written your first novel and, like many first-time authors, can’t find a publisher. So you’ve decided to self-publish your book. You need to work out the cost of printing the book. If the cost of printing the novel includes a base cost of $1,550 plus $4 per book, write a function that represents the cost of printing x copies of the book. Type your response here: If you want to cover the printing costs by printing and selling only 50 copies of the book, at what price must you sell the book?

Answers

P(x) = 4x + 1550 <== ur function

selling only 50 copies...
P(50) = 4(50) + 1550
P(50) = 200 + 1550
P(50) = 1750....so the printing cost for 50 copies is 1750

1750 = 50x....x = cost of each book
1750/50 = x
35 = x.......u would have to sell each book for $ 35 <===

write the equation of a line that is perpendicular to y=3z-2 and that passes through the point (-9,5)

Answers

y=-1/3+2 should be what you are looking for. 

how may ounces of trail mix are in a bag that weighs 0.681 kilograms?

Answers

keeping in mind that there are 35.27337 oz in 1 Kg, how many in 0.681kg?

[tex]\bf \begin{array}{ccll} kg&oz\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&35.27337\\ 0.681&x \end{array}\implies \cfrac{1}{0.681}=\cfrac{35.27337}{x}\\\\\\ x=\cfrac{0.681\cdot 35.27337}{1}[/tex]

geometry problem help

Answers

Refer to the attached image. You'll see angle CXP up in the top left corner. In the bottom right corner is angle SYD which is congruent to CXP as they are alternate exterior angles. These angles are marked in green.

They are outside of the "train tracks" (aka the parallel lines), and they lie on opposite sides of the transversal line.

This is why the answer is choice B

#1 please help fr fr

Answers

I can't really see the problem. It's way too blurry

It's way too blurry for me too. perhaps make one that's clearer so we could answer?

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