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3 years ago

What is the value of x for the solution to this system of equations

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer:

The correct answer is A) -3

Step-by-step explanation:

To solve this system of equations, take what y is equal to in the first equation and input it for y in the second equation.

7x + 4y = -1

7x + 4(-x + 2) = -1

Now solve for x.

7x + 4(-x + 2) = -1

7x -4x + 8 = -1

3x + 8 = -1

3x = -9

x = -3

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16. m + 5(m - 1) =<br> How do u solve this

Ber [7]

Answer: 6m -5

Distribute 5
m+ 5m-5
Simplify
6m -5

3 0

2 years ago

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio

Naya [18.7K]

Answer:

$\approx 0.59\text{ ft by }0.91\text{ ft}$

Step-by-step explanation:

Let $\ell$ represent the length of the rectangle. The width can be represented as $0.64\ell$ .

The perimeter of a rectangle with lengths $l$ and $w$ is given by $p=2l+2w$ .

Thus, we have:

$2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91$

The width is then $0.64(0.91463414634)=0.58536585365\approx 0.59$ .

8 0

3 years ago

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

$P(t) = P(0)(1+r)^t$

Growth rato parameter of 48% per hour

This means that $r = 0.48$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1+0.48)^t$

$P(t) = P(0)(1.48)^t$

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

$P(t) = P(0)(1.48)^t$

$2P(0) = P(0)(1.48)^t$

$(1.48)^t = 2$

$\log{(1.48)^t} = \log{2}$

$t\log{1.48} = \log{2}$

$t = \frac{\log{2}}{\log{1.48}}$

$t = 1.77$

It takes 1.77 hours for the population to double.

3 0

3 years ago

Can somebody help me with this please!!

saul85 [17]

1. -21

2. −39

3.−42

4. -5

5. −3

for the other question u can use calculator :)

8 0

2 years ago

Slove 4x -3=9<br>Plz due tomorrow

IgorLugansk [536]

X=3 is the answer

1.) add 3 to the other side, so add it to 9

2.) you are then left with 4x=12

3.) solve for x, so divide 12 by 4 and you get 3!

7 0

2 years ago