To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?



First equation: 6x-5y=17

Second equation: 7x+3y=11

The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.

Answer:

[tex]Rate = 9(t+1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 9x^2 - 2[/tex]

[tex]Interval = [1,t][/tex]

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [1,t][/tex]

So, we have:

[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]

Solve for f(t) and f(1)

[tex]f(t) = 9t^2 - 2[/tex]

[tex]f(1) = 9*1^2 - 2[/tex]

[tex]f(1) = 9 - 2[/tex]

[tex]f(1) = 7[/tex]

So, we have:

[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]

[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]

Factorize:

[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]

Apply difference of two squares

[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]

[tex]Rate = 9(t+1)[/tex]

Answer:

The answer is 2.77 km.

Step-by-step explanation:

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

Answer:

x=12, y=9, z=7, w=3

Step-by-step explanation:

Answer:

they all are super cute.

yes! thanks for free points.

Answer:

Step-by-step explanation:

Let us consider P(A) to be the probability for the fact that I will go for sailing today

Likewise, P(B) will be the probability of a die to come up on an even number in the next roll.

Now, according to the question,

P(A and B) = 0.3

It is known to us that the probability of a die to land with an even number on its side up =  

Moreover, we are given with the fact that both P(A) and P(B) are independent.

∴ P(A and B) = P(A) × P(B)

⇒ 0.3 = P(A) × 0.5

⇒ P(A) =  = 0.6

Answer:

[tex]26 \div 1690 \\ = 0.0154[/tex]

Answer:

15.12

Step-by-step explanation:

3.6 x 4.2

first aline the decmials like you would regularly do to multiply.

Then multiply 2 x 6=12 and then 2 x 3=6 and put them down were you would already do noramly multiplying.

and then muliply 4x6=24 and 4x3=12 and do the same thing as you would do normaly and then add 72 and 144 to get 1512 and then count your decmail placing. which is 2 placeing in total which makes 1512 into 15.12

and now you done!

Example of how it should look...

       3   . 6

×       4   . 2

+       7   . 2

+   1 4 4  

=  1 5 1 2

Answer:

Option C. y = -2x + 3

Step-by-step explanation:

When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3).  From this we know that the function we are looking for will be looking like...

y = mx + 3

And as I said earlier since the slope is negative, the only right option is this case will be Option C

Answer:

The correct anwer is (C) : y = - 2x + 3

Answer:

55%=70.4

1%=70.4/55= 1.28

100%=1.28into 100 = 128

Answer:

She could choose 30 different combinations of cake and drink

Step-by-step explanation:

A coffee shop sells 5 different types of cake and 6 different kind of drinks.

This means that:

For each type of cake, there are 6 different kind of drink.

At all, there are 5 different types of cake.

So

6*5 = 30

She could choose 30 different combinations of cake and drink

Answer:

dont know this one my apologies

Answer:

c

Step-by-step explanation:

vshsbjzjskkzizjz shjskzoa

Answer: c

Step-by-step explanation:

Answer:

1.52%

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Number of clubs = 13

Number of face cards = 12

Number of hearts = 13

Number of King's = 4

Number of reds = 26

Number of spade = 13

Number of 6's = 4

Total possible outcomes = total number of cards = 52

Probability = required outcome / Total possible outcomes

1.) P(A club) = 13 / 52

2.) P(face card or heart) =

p(face card) + p(heart)

12 / 52 + 13/52

= (12 + 13) / 52 = 25 /52

3.)

(A 6 and a spade)

4/52 * 13/52

= 52 / 2704

= 1/52

4.) A king

P(king) = 4 /52 = 1/13

5) A red

P(red) = 26 / 52 = 1/2

Answer: 11 = x

Step-by-step explanation:

Answer:

Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.

Answer:

it's definitely F .. Your welcome

Answer:

8606.4 Miles

Step-by-step explanation:

Since we know that each lap was the same length, we can do 137,702.4/16 and get 8606.4

Answer:

8606.4

Step-by-step explanation:

Answer:

$7000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.6%/100 = 0.016 per year,

then, solving our equation

P = 224 / ( 0.016 × 2 ) = 7000

P = $ 7,000.00

The principal required to

accumulate interest of $ 224.00

on a rate of 1.6% per year for 2 years is $ 7,000.00.

Answer:

no

Step-by-step explain why

because they have to be the same numbers

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Answer:

96

Step-by-step explanation:

8 divided by 1/12

8/1 divided by 1/12

8/1 x 12/1

96

Answer:

n = 129

Step-by-step explanation:

Reference angle = 60°

Hypotenuse = n

Adjacent side = 64.5

Apply CAH, which is:

Cos 60 = adj/hyp

Cos 60 = 64.5/n

Multiply both sides by n

n×Cos 60 = 64.5

Divide both sides by cos 60

n = 64.5/Cos 60

n = 64.5/0.5

n = 129

Answer:

x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i

Step-by-step explanation: