The sum of two numbers is 73. The difference of two numbers is 29. Find the two numbers.

Answer:

[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)[/tex]

Remove parentheses:  (a)=a

[tex]=-t^4-5t^3-10t^2+9t^3+3t^2-1[/tex]

Group like terms

[tex]=-t^4-5t^3+9t^3-10t^2+3t^2-1[/tex]

Add similar elements        

[tex]=-t^4-5t^3+9t^3-7t^2-1[/tex]         ∵ [tex]-10t^2+3t^2=-7t^2[/tex]

Add similar elements        

[tex]=-t^4+4t^3-7t^2-1[/tex]                  ∵  [tex]-5t^3+9t^3=4t^3[/tex]

Thus, the equivalent expression in simplified form:

[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]

Answer:

10 to the 3rd power!!!!

Answer:

10 with an exponent of 3 i believe.

Step-by-step 10^2 * 10 = 10^3

Answer:

your correct

Step-by-step explanation:

:D

Answer:

slope of the line is 50

Step-by-step explanation:

The slope of a line (gradient) is determined by the rise/run so

(y2 - y1) / (x2 - x1)

We simply substitute in our coordinates and solve. So:

(4000 - 3000) / (60 - 40)

= 1000 / 20

= 100/2 = 50

Gradient is 50

Step-by-step explanation:

8x-7+3x-11=180

11x-18=180

x=18

2y+23=4y+8

2y=15y=15/2

4y+8=3z²-5

y=15/2=> 30+8=3z²-5

43=3z²

z=±√(43/3)

Answer:

14k-8

Step-by-step explanation:

8k - 2(4-3k)

distributive property

8k - 8  + 6k

add like terms

8k + 6k -8

14k - 8

14k - 8

If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.

Answer

14k-8

Step-by-step explanation:

combine like terms

Answer:

[tex]T(x)=84-2x[/tex]

Step-by-step explanation:

Linear Modeling

The initial temperature outside is 84 degrees.

We are told the temperature drops 2 degrees every hour.

Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.

That drop is subtracted from the initial temperature to produce the linear model as follows:

[tex]\mathbf{T(x)=84-2x}[/tex]

This is the linear equation that represents the described situation.

Answer:

1. Ben

Let the number of days be x.

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=2\\No.\ of\ shares\ on\ Day\ 1\ = 2*3\\No.\ of\ Shares\ on\ Day\ 2\ =\ 2*3*3\\No.\ of\ Shares\ on\ Day\ 3\ = 2*3*3*3\\No.\ of\ Shares\ on\ Day\ x\ =2*3^x\\As\ Total\ no.\ of\ shares\ = y\\y=2*3^x[/tex]

2. Carter

Let the no. of days be x

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=10\\No.\ of\ shares\ on\ Day\ 1\ = 10*2\\No.\ of\ Shares\ on\ Day\ 2\ =\ 10*2*2\\No.\ of\ Shares\ on\ Day\ 3\ = 10*2*2*2\\No.\ of\ Shares\ on\ Day\ x\ =10*2^x\\f(y)=10*2^x[/tex]

Step-by-step explanation:

I think the answer is no

Answer:

no

Step-by-step explanation:

once distributed, 2(8f-5) becomes 16f-10 which is not equivalent to 10f-10

Answer:

120 gallons of gasoline needs 180 ounces of oil

Step-by-step explanation:

Since the label for the chain saw reads to mix 3 ounces of oil with 5 gallons of gasoline, it means we have a ratio of 3 ounces of oil to 5 gallons of gasoline. That is

3 ounces of oil = 5 gallons of gasoline

Using the the unity method, by dividing both sides by 5,

3/5 ounces of oil = 1 gallon of gasoline.

So, for 120 gallons of gasoline, we have

120 × 1gallon of gasoline = 120 × 3/5 ounces of oil

So, 120 gallons of gasoline = 60 × 3 ounces of oil

So, 120 gallons of gasoline = 180 ounces of oil

So, 120 gallons of gasoline needs 180 ounces of oil

Answer:

Try 15,360 gallons or it could be 15,360 oz. one of those I hope it helps a bit. I did 128 times 120 gl. witch gave me 15,360.

Step-by-step explanation:

Answer:

Q1. 1050 miles

Q2. 1h 30m

Step-by-step explanation:

Q1. 1h = 300 miles

3[tex]\frac{1}{2}[/tex]h = 3.5 × 300 miles

     = 1050 miles

Q2. 68km = 1h

102km = [tex]\frac{102}{68}[/tex] × 1h

           = 1.5h

           = 1h 30m

Answer:

$1.25 dollars per day added to the coin jar

Step-by-step explanation:

the given equation is: 56 – 4y = –5x

we can rewrite it:

4y = 56 + 5x

y = (56 + 5x) / 4

y = 14 + ⁵/₄x

the slope of the equation is ⁵/₄, which gives us how much money is added into the coin jar every day. We can write ⁵/₄ as 1.25 or $1.25 dollars per day added to the coin jar

Answer:

y = 2x + 2

Step-by-step explanation:

First solve for the slope using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{8-2}{3-0}[/tex] = 2

Plug the slope into the slope intercept form equation y = mx + b

y = 2x + b

To solve for b, plug in any (x, y) point on the table.

2 = 2(0) + b

2 = b

Now you can plug the b value into your equation.

y = 2x + 2

Answer:

hope that helps

Step-by-step explanation:

Hi I had the same question on my test and the answer is  c or b

The solution is, The initial payment will be  $437.50.

Here, we have,

given that, Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only.

so, we get,

Steven has obtained a $105,000, 5/1 30-year ARM at 5%.

During the first 3 years, he has an option of paying interest only.

So, it is simple interest.

Simple interest is given as :

I = p*r*t/100

here, p = 105000

r = 5%

t = 30

Putting values in formula:

= $157500

As this is interest for 30 years or 360 months.

So, for initial interest we will divide the interest with 360.

$157500/360

≈$437.50

Therefore, the initial payment will be $437.50

To learn more on interest click:

brainly.com/question/29335425

#SPJ7

Answer:

18

Step-by-step explanation:

Teacher asked us the question

Answer:1/2 i think

Step-by-step explanation:

The inverse of a function reverses the operation of a function

The statement that provides the correct analysis of Maggie's claim is the following option;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Question: The functions in the question are presented as follows;

[tex]g(x) = \dfrac{x}{3} - 4[/tex]

f(x) = 3·x + 4

Required:

The statement that provides a correct analysis of Maggie's claim

Solution:

The inverse of f(x) is found as follows;

y = 3·x + 4

[tex]x = \dfrac{y - 4}{3}[/tex]

Therefore;

[tex]f^{-1}(x) = \dfrac{x - 4}{3}[/tex]

The inverse of a function above was found by making x the subject of the

function f(x), therefore, when the inverse f⁻¹(x) is substituted into all

occurrence of x in f(x), we get x

However, when g(x) is substituted into every occurrence of x in g(x), we get;

[tex]f \left (g(x) \right) = 3 \times \left (\dfrac{x}{3} - 4 \right)+ 4 = x - 8 \neq x[/tex]

Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Learn more about inverse of a function here:

https://brainly.com/question/4218791

Answer:x7

Step-by-step explanation:

Answer:

The slope would be 4/3, found from the equation: y=4/3x-2

Step-by-step explanation:

4x-1=3y+5

Subtract the 5

4x-6=3y

Divide the 3

y=4/3x-2

Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the   purchase

i.e 15,000 x 100/ 150,000= 10%

Also for the second part, multiply the down payment by 100 and divide by the purchase price

i.e 67,500 x 100 / 150,000= 45%

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.3 divided by 2.1 equals 3.

3 is the scale factor

Answer:

2

Step-by-step explanation:

I just took the quiz

Answer:

- 81/2  or -40 1/2

Step-by-step explanation:

3 4/5 (-10)-2 1/2

Answer:

no

Step-by-step explanation:

Answer:

Cannot be determined is the correct answer

Step-by-step explanation:

Answer:

population= 4968

Step-by-step explanation:

15/100= 0.15

1+0.15= 1.15

1.15 x 4500= 5175

4/100= 0.04

1-0.04= 0.96

0.96 x 5175= 4968

Answer:

Robin's basket!

Step-by-step explanation:

Ted's

7 1/4 * 5 = 36 1/4

Robin's

6 1/2 * 6 = 39

Answer:

3rd number line

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Firstly we need to do the exponent,3^-1, which equals 1/3.

Now, we multiply 3 with 1/3.

3•1/3 =1

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