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2 years ago

I’m struggling with #10, please help!? :(

Mathematics

1 answer:

Tpy6a [65]2 years ago

6 0

Each number (i) is increased by 1 for the next number and are cubed.

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What is 7 4/10 -1 1/3

Goryan [66]

The answer is 6 and 1/15.

7 0

2 years ago

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

2 years ago

2x=3y+1/2 I have to write this in standard form and slope intercept form

Sav [38]

Answer:

Step-by-step explanation:

2x = 3y + 1/2

standard : Ax + By = C

2x = 3y + 1/2....multiply everything by 2 to get rid of the fractions

4x = 6y + 1 ....subtract 6y from both sides

4x - 6y = 1 <==

slope intercept : y = mx + b

2x = 3y + 1/2....subtract 1/2 from both sides

2x - 1/2 = 3y....divide everything by 3

2/3x - 1/6 = y...rearrange

y = 2/3x - 1/6 <===

8 0

3 years ago

HELP PLEASE

gladu [14]

Answer:

Carmen bought 5 pounds of coffee

Step-by-step explanation:

The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.

She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:

80 - 8.44x = 37.80

8.44x = 80 - 37.80

8.44x = 42.2

x = 42.2/ 8.44 = 5

x = 5 pounds.

Carmen bought 5 pounds of coffee

3 0

2 years ago

A: -27<br> B: -32<br> C: -45<br> D: -101 <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{

kolezko [41]

$- 25 \: + 13 \: = - 12 \\ - 12 \times 8 = - 96 \\ - 96 \div 3 = - 32 \\ - 32 = p$

p = B

3 0

3 years ago

Read 2 more answers