The depth, in inches, of an object as it sinks in
the river is found by the equation d =0.5t,
where t is measured in seconds. Which best
describes the constant of proportionality?
A 0.5 second per inch
B 0.5 inch per second
C 2 inches per second
D 1 inch per 0.5 second

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

Answer:

2 1/2 per piece

Step-by-step explanation:

Answer:

= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+4)=5x−2

(3)(2x)+(3)(4)=5x+−2(Distribute)

6x+12=5x+−2

6x+12=5x−2

Step 2: Subtract 5x from both sides.

6x+12−5x=5x−2−5x

x+12=−2

Step 3: Subtract 12 from both sides.

x+12−12=−2−12

x=−14

Answer:14

Step-by-step explanation:

X-6=8

+6. +6

X=14

Answer: m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

The equation of the graph:

y = 3x² + 7x + m

If the above quadratic function has two x-intercepts that means:

D > 0

b² - 4ac > 0

On comparing:

a = 3

b = 7

c = m

7² - 4(3)(m) > 0

49 - 12m > 0

12m < 49

m < 49/12

Or

m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts

Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

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If the sum of 5 and x is 20, then the value of x will be 15.

It is given that the sum of 5 and x is 20.

Mathematically, it can be written as:

5 + x = 20

We have to find the value of x.

In order to find the value of x we need to separate the variable and constant.

For this, subtract 5 from both the sides:

5+x-5 = 20-5

5-5 +x = 20-5

Then, solve the operation of subtraction on both the sides of above equation.

0+x = 15   -------(A)

Since, when we add 0 to any quantity, the result will be this quantity itself.

So, 0+x = x -------(B)

From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.

Equation right sides of (A) and (B). We have:

x = 15

Hence, the value of x is 15.

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Answer:

x=3

Step-by-step explanation:

i just know

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

Answer:

The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.

mCHG  =  mHGB  =  48.81°

mDHG  =  mHGA  =  131.19°

The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.

mEHC  =  mBGF  =  131.19°

mEHD  =  mAGF  =  48.81°

Step-by-step explanation:

STRAIHGT FROM PLATO BOOOOIIIIII

Step-by-step explanation:

In this question maybe we have to make equation or formulas so

A to find yellow jelly beans = 2g

B to find red jelly beans = g - 5

C to find black jelly beans = g + 4

Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Answer:

true

Step-by-step explanation:

[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]

Answer:

true

Step-by-step explanation:

3x -4(2x-5)

3x-8x+20

5x+20

The value of x in the proportion below is option 1 3 1/2.

When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.

The given proportion is:

[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]

Using the method of cross-product or butterfly method:

[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]

The value of x is 3.5. Converting this value into mixed fraction:

3.5 = 3 1/2

Hence, the value of x in the proportion below is option 1 3 1/2.

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Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer

Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

The mathematical expressions are given as

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the verbal sentence, the meaning of using of indicates the multiplication of numbers.

The mathematical expressions will be used as:-

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

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Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

Answer:

Step-by-step explanation:

A fucntion is basically a machine that follows the instructions it's given and based on those instructions it gives you an answer. So in the function

f(x)=-x+7, our total output (answer) is going to be whatever our "x" is and adding that to 7.

So lets start with -2, plug in -2 for the x variable

f(x)=-(-2)+7, when we solve this we get f(x)=2+7 (negative*negative=positive)

so our final function would be f(x)=9

We can solve the other functions by plugging in the x variable in the same way:  

f(x)=-(-1)+7  this simplifies to f(x)=1+7, so f(x) equals 8

f(x)=-(0)+7   this simplifies to f(x)=0+7, so f(x)=7

f(x)=-(1)+7  this simplifies to f(x)=-1+7, so f(x)=6

f(x)=-(2)+7 this simplifies to f(x)=-2+7, so f(x)=5

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x,y) = (48/7, -22)

Answer:

what's the question??zz

Answer:

(12 * 4) + 4x / 4

Step-by-step explanation:

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

Answer:

Part 1

its asking you to find the slope of the given lines by using the points that they have plotted on the lines

first you need to figure out what the points are, then insert it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Part 2:

its asking you to find the slope using the points that are written in each box

again, just substitute it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Answer:

[tex]x > 1[/tex]

x is greater than 1

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers

Answer:

B) y=3x+4.5

Step-by-step explanation: