The equation d = 10h represents the number of miles d, that Jin travels in h (hours). If Jin cuts down the time it takes him to travel 30 miles to 1.5 hours, what constant is multiplied by in the new equation
Equation: d = ________ h

Answer:

  y = 7x +10

Step-by-step explanation:

Given a y-intercept of 10 and a slope of 7, you want the equation of the line in slope-intercept form.

The slope-intercept form equation of a line is ...

  y = mx +b . . . . . . . where m is the slope, and b is the y-intercept

You are given a slope of 7 (m=7) and a y-intercept of 10 (b=10), so the equation is ...

  y = 7x +10

Answer:

Eight 6-packs

Step-by-step explanation:

6-pack of hot dogs for 5.10$

8-pack of hot dogs for 6.88$

To figure out the answer, we compare the prices:

The price of six 8-packs is $41.28 ($6.88 x 6)

The price of eight 6-packs is $40.80 ($5.10 x 8)

As we can see, the cheaper option would be to buy eight 6-packs, which is our answer.  

The model of the exponential functions is written as

21:

f(x) = 50(0.9)ˣ

average rate of change

22:

f(x) = 25(0.8)ˣ

average rate of change

Considering the given problem,  f(x) = a(b)^x

the initial value = a

the base = b

the exponents = x

21.

Initial value: 50

Decay factor: 0.9

1 ≤ x ≤ 4 and

5 ≤ x ≤ 8

x = 1

f(x) = 50(0.9)^1

f(x) = 45

x = 4

f(x) = 50(0.9)^1

f(x) = 32.805

average rate of change for x = 1 and x = 4

average rate of change = (32.805 - 45) / (4 - 1)

average rate of change = -4.065

average rate of change for x = 5 and x = 8

average rate of change = (50(0.9)^5 - 50(0.9)^8) / (5 - 8)

average rate of change = 8.0011 / -3

average rate of change = -2.667

22.

Initial value: 25

Decay factor: 0.8

2 ≤ x ≤ 4 and

6 ≤ x ≤ 8

f(x) = 25(0.8)^x

average rate of change for x = 2 and x = 4

average rate of change = (25(0.8)^2 - 25(0.8)^4) / (2 - 4)

average rate of change = 5.76 / -2

average rate of change = -2.88

average rate of change for x = 6 and x = 8

average rate of change = (25(0.8)^6 - 25(0.8)^8) / (6 - 8)

average rate of change = 2.3593 / -2

average rate of change = -1.1797

Learn more about exponential function here:

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Answer:

[tex]C = 0.10n[/tex]

Step-by-step explanation:

If you study the graph you will see that there is no cost for producing zero gadgets. Cost = $0

For 100 gadgets the cost is $10

For 200 gadgets the cost is $20

etc

So the cost in $ is 1/10 times the number of gadgets

For 1 gadget, it costs [tex]\$\dfrac{1}{10}[/tex] or $0.10

For n gadgets it should cost $[tex]0.1n[/tex] same as [tex]\$\dfrac{n}{10}[/tex]

Mathematically speaking the graph represents the equation of a straight line which is of the form

y = mx + b

where y represents the vertical axis and x the horizontal axis

The variable m represents the slope of the line which is the increase of y for every unit increase in x.

The slope, m can be determined by using the formula [tex]\displaystyle \dfrac{y2-y1}{x2-x1}[/tex] where x1, y1 and x2, y2 are two points on the graph

This is also called rise/run

b is called the y-intercept and it represents the value of y where the line crosses the vertical axis

The difference here is that instead of y, we are using C as the variable for the vertical(y) axis and n as the variable for the horizontal(x) axis

So we get the modified equation as
C = m·n + b

We can see that when n = 0, C = 0 so b = 0 because the vertical intercept is zero

To calculate m, take any two points on the line

I choose (0, 0) and (100,10)

[tex]\rm Slope \;m = \dfrac{10-0}{100-0} = \dfrac{10}{100} = \dfrac{1}{10} = 0.10\\\\[/tex]

This means that for every gadget produced the cost will increase by $0.10

The equation becomes C = 0.10n + b and since b is 0 we get

[tex]C = 0.10n[/tex]

Answer:

The percent expression used to determine the price of each item to be sold is 1.2 x original price.

Step-by-step explanation:

Answer:

The percent expression used to determine the price of each item to be sold is 1.2 x original price.

Step-by-step explanation:

System:

5b+2m=5.5
6b+10m=12.3

Variables:

b = cost of bananas
m = cost of mangoes

Explanation:

Zachary bought 5 bananas and 2 mangoes so you multiply each by the cost of them (5b and 2m) and then add them together (5b+2m) to find the total cost (5.5). This is the same for Olivia. If you solve the system you can figure out how much the bananas and mangoes cost.

The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Zachary went into a supermarket and purchased 5 bananas and 2 mangos, costing a sum of $5.50. Olivia went into a similar supermarket and purchased 6 bananas and 10 mangos, costing a sum of $12.30.

Let 'x' be the cost of a banana and 'y' be the cost of a mango. Then the equation is given as,

5x + 2y = 5.50               ...1

6x + 10y = 12.30            ...2

From equations 1 and 2, then we have

6x + 10[(5.50 - 5x) / 2] = 12.30

6x + 27.5 - 25x = 12.30

19x = 15.2

x = $0.8

Then the value of the variable 'y' is given as,

5(0.8) + 2y = 5.50

4 + 2y = 5.5

2y = 1.5

y = $0.75

The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.

More about the solution of the equation link is given below.

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i don't know  I am so sorry that I cant help you

Answer:

1. Down: Solve

2. Down: Rational number

3. Down: Negative

4. Down: Variable

5. Across: Positive

6. Down: Expression

7. Down: Difference

8. Across: absolute value

9. Across: Additive inverse

10. Down: inverse

11. Across: Place value

12. Down: equation

13. Across: sum

14. Down: Algebra

15. Across: Equivalent

16. Across: Product

17. Across: Quotient

Step-by-step explanation:

Down

1. To find a solution or value

Solve

2. Any number that can be written as a fraction

Rational number

3. A value less than zero

Negative

4. A symbol for a value unknown

Variable

6. Numbers/symbols and operation that represent a value (no equal sign)

Expression

7. The result obtained by subtracting values

Difference

10. Opposite of another operation

inverse

12. Mathematical statement in which two expressions are set equal to each other

equation

14. The part of mathematics that uses letters/symbols

Algebra

Across

5. A value greater than zero

Positive

8. The distance away from zero

absolute value

9. Adding the inverse (opposite) number results in zero

Additive inverse

11. The value represented by a digit in a number on the basis of its position in the number

Place value

13. The result obtained by adding values

sum

15. Equal or same

Equivalent

16. A results obtained by multiplying two or more quantities

Product

17. A result obtained by dividing one quantity by another

Quotient

Answer:

Step-by-step explanation:

a is correct

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The slope is the change in y over the change in x.

We find the change by subtracting.

From the points given the y's are 9 and 10 and the x's are 2 and 6

[tex]\frac{9-10}{2-6}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

1108

Answer: 1108

Step-by-step explanation:

(6-5^4)= -619

(12^3+-1)= 1727

1727-619 OR -619+1727 = 1108

Answer:3b

Step-by-step explanation:

Subtract 10b from 13b

I hope this helps!

Answer:   I got 54 and 4/9 so...

Step-by-step explanation:

Answer: twenty nine and two sixth or twenty nine and two thirds

29[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]8\frac{1}{6}+6\frac{2}{3}= 14\frac{5}{6}[/tex] then you ad that which is [tex]14\frac{5}{6}+ 14\frac{5}{6}= 29\frac{4}{6}[/tex]

or simplified is 29[tex]\frac{2}{3}[/tex]

-26 Is the answer.

____________________

First you have to do: 10 - 11 = -1

Then its -1 - 12 or -1 + -12 (same thing) = -13

After that, do -13 + -13 = -26.

Answer:

Column C in order: 0,1,2,5,6,5

Step-by-step explanation:

Answer: 294

Step-by-step explanation:

multiply 14 by 21

Answer:

[tex]\frac{9}{5}[/tex]

Step-by-step explanation:

the slope is the change in y over the change in x

From the points given, your y's are 10 and 1.  

From the points given, your x's are 7 and 2.  To find the changes subtract them.

[tex]\frac{10-1}{7-2}[/tex] = [tex]\frac{9}{5}[/tex]

Answer:

slope = 9/5

Step-by-step explanation:

[tex]m=\frac{10-1}{7-2} =\frac{9}{5}[/tex]

Hope this helps

Answer:

b.
Slope: 2
y-intercept: (0, 2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer:

-(2 a^2 - 3 a - 1) (3 a - 2)

-6 a^3 + 13 a^2 - 3 a - 2

a ((13 - 6 a) a - 3) - 2

Step-by-step explanation: hope this helps.

Answer:

∠TUS and ∠SUT

Step-by-step explanation:

the marked angle can be read as:

∠TUS and ∠SUT

they are the same as they are just the flipped order of saying the same thing

slope intercept form is: y = mx + b

where: m = slope and b = y-intercept.

slope = 5 and y-intercept = 5

y = 5x + 5

Answer:

1x+5

Step-by-step explanation:

????

Step-by-step explanation:

the rate of change or slope is the factor of x, when we have the function in the form y = ...

so, it is 2.

that means y changes by 2 whenever x changes by 1.

Slope-intercept form is: y = mx + b

where m is the slope and b is the y-intercept.

Since you're told the slope is 1/8 and the y-intercept is -7, you just plug those into the form:

    y = 1/8 x - 7

Note that the "–" in front of the 7 is already part of the answer on paper, so you don't need to add a second one.

Answer: +80°C or -20°C

Step-by-step explanation:

This is the answer because if you add 80 then it will equal 100°C and freeze and if 20°C is taken away it will equal 0°C and freeze.

Answer: 1,000 g (grams) = 1 kg

Answer:

1 kg

Step-by-step explanation:

kg stands for kilograms

Kilo means thousands

kilogram means thousand grams

1000g = 1kg

Hope this helped and have a good day

see the next one this was wrong i am sorry

Answer:

B, G, F

Step-by-step explanation:

That is the answer because 4^5 is (4 x 4) 5 times. And 9^3 is  (9 x 9) 3 times. So you can write it like (4 x 4 x 4 x 4 x 4) x (9 x 9 x 9) or 4 x 4 x 4^2 x 4 x 9 x 9^2 Or 4 x 4 x 4 x 4 x 4 x 9 x 9 x 9. For you to know how to solve it next time. :) <3

Answer:

5h

Step-by-step explanation:

there are no out numbers so it would just be 5h